All Algebra Videos listed alphabetically by topic

Arithmetic with Positive and Negative Numbers

These videos show you how to add, subtract, multiply and divide when working with positive and negative numbers.  Models are used to explain and show why the rules make sense.  The one on Exponents deals with positive exponents, but base might be negative, or negative signs may be in front of the base.

 

Adding Integers

Shows how to add postive and negative numbers; uses counters.

http://www.youtube.com/watch?v=AIWPLvTNhXs

 

Subtracting Integers

Shows how to subtract postive and negative numbers; uses counters. Explains adding the opposite and two stroke method.

http://www.youtube.com/watch?v=0sMIJkFV1uw

 

Multiplying & Dividing Positive & Negative Numbers

Shows the rules for multiplying and dividing negative and positive numbers. Shows why negative times negative produces a negative number using counters.

http://www.youtube.com/watch?v=489iteE0EB4

 

Exponents - Basics

Covers the basic meaning of exponents that are whole numbers and how to evaluate and simplify expressions. Also defines zero exponent.

http://www.youtube.com/watch?v=i4m9jMGv4AA

 

 

Distributive Property

Distributive Property Part 1 - pos numbers

Distributive property of multiplication over addition, part 1. No negative numbers or subtraction.

http://www.youtube.com/watch?v=whWAt97VeBU

 

Distributive Property Part 2

Distributive property of multiplication over addition, part 2. More advanced: neg numbers and subtraction.

http://www.youtube.com/watch?v=6PH2eI8h9Sw

 

Simplifying Algebraic Expressions

Explains how to simplify algebraic expressions by adding, subtracting, combining like terms, as well as using the distributive property

http://www.youtube.com/watch?v=YURDKBg9-Aw

 

 

Dividing Polynomials

Divide a Polynomial by a Monomial

Explains and shows examples of how to Divide a Polynomial by a Monomial

http://www.youtube.com/watch?v=uERRlY-WmmU

 

Divide Polynomials using long division - Part 1

Part 1 of how to divide a Polynomial by a Polynomial using long division.

http://www.youtube.com/watch?v=P1hoVymb5hw

 

Dividing polynomials using long division-Part 2

This is Part 2 of Dividing Polynomials using long division. The example shows how to divide a polynomial with 4 terms by a binomial. See Part 3 for how to check the answer to this problem.

http://www.youtube.com/watch?v=-30vS5QL6O0

 

Divide Polynomials using long division - Part 3

This is Part 3 of Dividing Polynomials using long division. Part 2 shows how to divide a polynomial with 4 terms by a binomial. Part 3 shows how to check the answer to the problem in part 2.

http://www.youtube.com/watch?v=8IFxmHc3w7E

 

Dividing polynomials using long division-Part 4

This is Part 4 of Dividing Polynomials using long division, which shows more examples, and shows the subtraction part a little differently than shown in Part 2.

http://www.youtube.com/watch?v=YqV1lIOBVzk

 

 

 

Exponents

Exponents - Basics

Covers the basic meaning of exponents that are whole numbers and how to evaluate and simplify expressions. Also defines zero exponent.

http://www.youtube.com/watch?v=i4m9jMGv4AA

 

Exponents 1-definition, meaning and evaluating

Shows how to evaluate problems b^n with positive exponents, but where base may be negative. Explains difference when negative sign is in or out of the parentheses.

http://www.youtube.com/watch?v=AneubQTnoL4

 

Exponents 2-Exponents and Evaluating Expressions

Shows how to evaluate variable expressions containing exponents,focusing on when you replace a variable base with negative numbers.

http://www.youtube.com/watch?v=BsYSCKyFcYs

 

Exponents 3-Product Rule for Exponents

http://www.youtube.com/watch?v=jjajaVnVQKY

 

Exponents 4 - Quotient Rule and Zero Exponent

Develops the Quotient Rule for Exponents and the meaning of a zero exponent.

http://www.youtube.com/watch?v=VLJTJxjPUOA

 

Exponents 5 - Power Rule

Develops the Power Rule for Exponents and Product of a Power or Quotient Rule, and examples using more than one rule.

http://www.youtube.com/watch?v=HNJdc5Sqx1I

 

Exponents 6 Negative Exponents part 1

Develops the meaning of negative exponents and how to simplify expressions with negative exponents.

http://www.youtube.com/watch?v=oHNe8AK0E9M

 

Exponents 7-Negative Exponents part 2

Part 2 of negative exponents and how to simplify expressions with negative exponents.

http://www.youtube.com/watch?v=heUUBzvYA1o

 

Exponents 8-Negative exponents part 3

Part 3 of negative exponents and more examples of simplifying expressions with negative exponents.

http://www.youtube.com/watch?v=CrJEOQh5UXg

 

 

Evaluating Algebraic Expressions

Evaluating Algebraic Expressions 1

Part 1 of Evaluating Basic Algebraic Expressions; no negative numbers

http://www.youtube.com/watch?v=Sa6bBkztsoo

 

Evaluating Algebraic Expressions 2

Part 2 - includes replacing variables with negative numbers, using order of operations, and simplifying.

http://www.youtube.com/watch?v=7vt6IerxYdw

 

 

Factoring

 

Factoring 1-Factor out GCF

This shows the basics of factoring a polynomial by factoring out the greatest common factor.

http://www.youtube.com/watch?v=WOCCSoaZRv8

 

Factoring 2-Factor out a negative GCF

This is part 2 on factoring, and covers how to factor out a negative sign, and also how to recognize opposites such as a - b and b - a.

http://www.youtube.com/watch?v=bLI6NOZ8kdY

 

Factoring 3-Factor out GCF - trickier

This videos covers factoring out the GCF for more complicated problems.

http://www.youtube.com/watch?v=N9Yg6pVGP7A

 

Factoring 4a-Factor 4 terms by grouping

This video covers how to factor 4 terms into 2 binomials by using the traditional factoring by grouping method.

http://www.youtube.com/watch?v=2MtsZRjxjMo

 

Factoring 4b-Use Box to factor 4 terms

This video covers how to factor 4 terms into 2 binomials by using a nontraditional method using a BOX.

http://www.youtube.com/watch?v=64qzpRRCzUk

 

Factoring 5-Find 2 #s with given product & sum

This video shows you how to methodically find 2 numbers with a given sum and product. This could be useful when factoring quadratic trinomials into the produce ot 2 binomials. So this video is preparation for that, which begins in Factoring Part 6.

http://www.youtube.com/watch?v=06RdArZXthg

 

Factoring 6-Basic Trinomials Part I

This video (part 1) shows a method of factoring a basic trinomial of the form x-squared + bx + c into the product of 2 binomials using the product and sum approach.

http://www.youtube.com/watch?v=BaNTQw06uAA

 

Factoring 7-Basic Trinomials Part 2

This is part 2 of factoring basic trinomials. More examples and situations are covered, including factoring out GCF first, trinomials that don't factor, more than one variable, etc.

http://www.youtube.com/watch?v=BG53n9Ef4fM

 

Factoring 8-Trinomials Part 1-Trial Factors

This is part 1 of factoring trinomials into 2 binomials when the coefficient of x-squared is not 1. This is an introduction to the trial factors method.

http://www.youtube.com/watch?v=thMv6JovewA

 

Factoring 9 - Trinomials Part 2 - Get one factor!

This is part 2 of factoring trinomials into 2 binomials when the coefficient of x-squared is not 1. This is an introduction to a sneaky way of finding one correct factor using the product/sum approach, and from that, easily finding the other factor

http://www.youtube.com/watch?v=ZNfvctmIVzw

 

Factoring 10 - Trinomials part 3 - get one factor!

This is part 3 of factoring trinomials into 2 binomials when the coefficient of x-squared is not 1. It is a continuation of part 2 showing three more examples of using the short-cut (sneaky) method of first finding one correct factor using the product and sum.

http://www.youtube.com/watch?v=9RN_QAHtmfw

 

Factoring 11 - Trinomials Part 4

This is part 4 of factoring non-basic trinomials into 2 binomials by Factoring by Grouping. Explains why using the sum and product idea works when rewriting the middle term as the sum of two terms.

http://www.youtube.com/watch?v=85a9bkP85ag

 

Factoring 12 - Trinomials Part 5

This is part 5 of factoring non-basic trinomials into 2 binomials. More examples using factoring by grouping, and the box method.

http://www.youtube.com/watch?v=ld4VT_ml3Nk

 

Factoring 13 - Trinomials Part 6

This is part 6 of factoring non-basic trinomials into 2 binomials. More examples using a BOX method, which is an alternative to factoring by grouping.

http://www.youtube.com/watch?v=a1VOMsR8iZo

        

Factoring 14a - Trinomials Part 7

This is part 7 of factoring non-basic trinomials into 2 binomials. More practice factoring trinomials using various methods. Also covers factoring trinomials when the coefficient of the squared variable is negative, and factoring completely by factoring out the greatest common factor first.

http://www.youtube.com/watch?v=DTYnwV86nAM

        

Factoring14b-Trinomials part 8 New Method

Trinomials part 8 - This is part 8 using a new method to factor non-basic trinomials. This is a non-traditional, but easy way to factor trinomials.

http://www.youtube.com/watch?v=M_1mvgT6QgI

 

Factoring 15a - Difference of 2 Squares

Covers the formula for the factoring the difference of two squares, including examples.

http://www.youtube.com/watch?v=Fwqh9vq0sq8

 

Factoring 15b - Difference of 2 Squares part 2 newer

Covers more involved factoring of difference of 2 squares.

http://www.youtube.com/watch?v=PY39ZW3_B14

        

Factoring 16 Sum of 2 squares is prime

Emphasizes that the sum of two perfect squares usually is non-factorable over the integers and is prime.

http://www.youtube.com/watch?v=ziWn6u5_i6g

 

Factoring 17-Perfect Square Trinomials

Shows how to recognize and factor Perfect Square Trinomials.

Added: April 27, 2009, 02:05 PM

http://www.youtube.com/watch?v=LdOgluTLBxQ

 

Factoring 18-Sum and Difference of 2 Cubes

Covers how to factor the Sum and Difference of 2 Cubes, including more complex problems.

http://www.youtube.com/watch?v=icm6zjdOYek

 

 

 

Multiplying Polynomials

You need to know the basic laws of exponents.  See Exponents.

 

Multiplying a Monomial by a Monomial

Shows how to multiply a monomial by a monomial (one term by another term).

http://www.youtube.com/watch?v=WIRcIvtr5eo

 

Multiplying 2 polynomials

Shows how to mulitply two polynomials with any number of terms using the box method and other methods

http://www.youtube.com/watch?v=2MGvBuNp7U8

 

Multiplying 2 binomials using the Foil or Smiley Face Method

Explains how to Multiply 2 binomials using the Foil or Smiley Face Method

http://www.youtube.com/watch?v=FOD8L-CSSlo

 

 

Negative Numbers

These videos show you how to add, subtract, multiply and divide when working with positive and negative numbers.  Models are used to explain and show why the rules make sense.  The one on Exponents deals with positive exponents, but base might be negative, or negative signs may be in front of the base.

 

Adding Integers

Shows how to add postive and negative numbers; uses counters.

http://www.youtube.com/watch?v=AIWPLvTNhXs

 

Subtracting Integers

Shows how to subtract postive and negative numbers; uses counters. Explains adding the opposite and two stroke method.

http://www.youtube.com/watch?v=0sMIJkFV1uw

 

Multiplying & Dividing Positive & Negative Numbers

Shows the rules for multiplying and dividing negative and positive numbers. Shows why negative times negative produces a negative number using counters.

http://www.youtube.com/watch?v=489iteE0EB4

 

 

Exponents - Basics

Covers the basic meaning of exponents that are whole numbers and how to evaluate and simplify expressions. Also defines zero exponent.

http://www.youtube.com/watch?v=i4m9jMGv4AA

 

 

 

Order of Operations

 

Exponents - Basics

Covers the basic meaning of exponents that are whole numbers and how to evaluate and simplify expressions. Also defines zero exponent.

http://www.youtube.com/watch?v=i4m9jMGv4AA

 

 

Order of Operations Part 1

Part 1 of Order of Operations: Explains the order of operations, what it means, and shows examples. Basic--no negative numbers or fractions.

http://www.youtube.com/watch?v=ahwlw4OCEAc

 

Order of Operations Part 2

Part 2 of Order of Operations: Shows examples. Basic--no negative numbers, but does contain fractions.

http://www.youtube.com/watch?v=NCixeuWvLS0

        

Order of Operations Part 3

Part 3 of Order of Operations: Shows examples. Basic--contains fractions but no negative numbers.

http://www.youtube.com/watch?v=EpX9ohiti6o

 

 

Exponents 1-definition, meaning and evaluating

Shows how to evaluate problems b^n with positive exponents, but where base may be negative. Explains difference when negative sign is in or out of the parentheses.

http://www.youtube.com/watch?v=AneubQTnoL4

 

 

Order of Operations Part 4

Part 4 of Order of Operations: Shows examples. Contains fractions and negative numbers.

http://www.youtube.com/watch?v=a329hvX8yDA

 

Order of Operations Part 5

Part 5 of Order of Operations: Shows examples. Contains absolute value, negative numbers, fractions, decimals

http://www.youtube.com/watch?v=Th8TBYEuRgc

 

 

Positive and Negative Numbers

These videos show you how to add, subtract, multiply and divide when working with positive and negative numbers.  Models are used to explain and show why the rules make sense.  The one on Exponents deals with positive exponents, but base might be negative, or negative signs may be in front of the base.

 

Adding Integers

Shows how to add postive and negative numbers; uses counters.

http://www.youtube.com/watch?v=AIWPLvTNhXs

 

Subtracting Integers

Shows how to subtract postive and negative numbers; uses counters. Explains adding the opposite and two stroke method.

http://www.youtube.com/watch?v=0sMIJkFV1uw

 

Multiplying & Dividing Positive & Negative Numbers

Shows the rules for multiplying and dividing negative and positive numbers. Shows why negative times negative produces a negative number using counters.

http://www.youtube.com/watch?v=489iteE0EB4

 

 

Exponents - Basics

Covers the basic meaning of exponents that are whole numbers and how to evaluate and simplify expressions. Also defines zero exponent.

http://www.youtube.com/watch?v=i4m9jMGv4AA

 

 

Rational Expressions - simplify, add, subtract, multiply

Rational Expressions 1 - Introduction

This is an introduction to Rational Expressions in beginning algebra.

http://www.youtube.com/watch?v=4pLmr0DA_18

 

Rational Expressions 2 - Simplifying

Examples of simplifying algebraic rational expressions by factoring the numerator and denominator in order to cancel factors to reduce the rational expression to a simplified form.

http://www.youtube.com/watch?v=WAdyzHwd_NU

 

Rational Expressions 3 - Multiplication new

Examples of multiplying and simplifying algebraic rational expressions by first factoring the numerators and denominators in order to cancel factors to reduce.

http://www.youtube.com/watch?v=QF2mK9ksV3k

 

Rational Expressions 4 - Dividing

Examples of dividing rational expressions by first multiplying by the reciprocal, and then factoring the numerators and denominators in order to cancel factors to reduce the rational expression to a simplified form.

http://www.youtube.com/watch?v=TfjHpdNESHM

 

Rational Expressions 5 - Adding with Common Denominator

How to add rational expressions that already have a common denominator, and how to simplify if it is possible to cancel.

http://www.youtube.com/watch?v=gPyrMluzus8

 

Rational Expressions 6 - Subtracting with Common Denominator

How to subtract rational expressions that already have a common denominator, and how to simplify if it is possible to cancel.

http://www.youtube.com/watch?v=shKYIVg3rno

 

 

 

Simplifying Expressions

Terms and Coefficients

Defines terms and coefficients and variable part of a term in preparation for combining like terms.

http://www.youtube.com/watch?v=qAcim0Noh5g

 

Combining Like Terms

Explains how to add, subtract, combine like terms in algebraic expressions

http://www.youtube.com/watch?v=lE8qjfAnDkk

 

Distributive Property Part 1 - pos numbers

Distributive property of multiplication over addition, part 1. No negative numbers or subtraction.

http://www.youtube.com/watch?v=whWAt97VeBU

 

Distributive Property Part 2

Distributive property of multiplication over addition, part 2. More advanced: neg numbers and subtraction.

http://www.youtube.com/watch?v=6PH2eI8h9Sw

 

Simplifying Algebraic Expressions

Explains how to simplify algebraic expressions by adding, subtracting, combining like terms, as well as using the distributive property

http://www.youtube.com/watch?v=YURDKBg9-Aw

 

 

Solving Equations with one variable

 

Solving Linear Equations (exponent on the variable is 1) and Word Problems using one variable and a linear equation.

Solving Linear Equations

SOLVING EQUATIONS--See lower down the page for Word Problems

 

Check solutions of Equations

Videos by Julie Harland http://yourmathgal.com

Shows how to decide if a given number is a solution to an equation.

Raw File: checksoln.mov on pc

http://www.youtube.com/watch?v=z5g1hotjDts

 

PARTS 1 - 4 cover the basics of solving equations using the addition property of equality.

Part 4 also covers how to solve equation like -x = 4 by taking the opposite of both sides of the equation.

 

Solving Linear Equations Part 1

Part 1 of Solving Linear Equations in one variable. Covers examples solving equations using the addition property of equality.

http://www.youtube.com/watch?v=vBfIwe33nGY

 

Solving Linear Equations Part 2

Part 2 of Solving Linear Equations; Covers examples solving equations using the addition property of equality,

http://www.youtube.com/watch?v=no_7fhCYncY

 

Solving Linear Equations Part 3

Part 3 of Solving Linear Equations; Covers examples solving equations using the addition property of equality,

http://www.youtube.com/watch?v=MA2-tCfmQnw

 

Solving Linear Equations Part 4

Part 4 of Solving Linear Equations in one variable. Covers examples solving equations using the addition property of equality, and solving -x = b, etc.

http://www.youtube.com/watch?v=Oi1H_3WsOiU

 

Solving Linear Equations Part 5

Part 5 of Solving Linear Equations in one variable. Covers solving linear equations using the multiplication property of equality and how to clear denominators when fractions are involved.

http://www.youtube.com/watch?v=zWk1fpVB1KE

 

Solving Linear Equations Part 6

Part 6 of Solving Linear Equations in one variable. Covers solving linear equations using the multiplication property of equality and how to clear denominators when fractions are involved.

http://www.youtube.com/watch?v=tbiROnq_Fkk

 

Solving Linear Equations Part 7

Part 7 of Solving Linear Equations in one variable. Covers solving linear equations using the multiplication property of equality and how to clear denominators when fractions are involved.

http://www.youtube.com/watch?v=c8H1kqK1XnA

 

Solving Linear Equations Part 8

Part 8 of Solving Linear Equations in one variable. Covers solving linear equations using the multiplication property of equality and how to clear denominators when fractions are involved.

http://www.youtube.com/watch?v=KmnX8yA15Ak

 

Solving Linear Equations Part 9

Part 9 of Solving Linear Equations in one variable. Covers solving linear equations using the multiplication property of equality and how to clear denominators when fractions and decimals are involved.

http://www.youtube.com/watch?v=VbAyYNQtQy0

Literal Equations-solving an equation for one variable in a formula

Part 1 of solving for one variable in a formula.

http://www.youtube.com/watch?v=rS4JPQE4WHw

Part 2 of solving for one variable in a formula.

http://www.youtube.com/watch?v=IaE5RTnL8C8

WORD PROBLEMS using one variable in a linear equation

 

Percent Mixture Word Problems

Percent Mixture Problem #1

Explains using picture how to solve this percent mixture problem using one variable: How many pounds of dogfood that is 50% rice must be mixed with 400 pounds of dogfood that is 80% rice to make a dogfood that is 75% rice?

http://www.youtube.com/watch?v=gD2YfPU-qMM

 

Percent Mixture Problem #2

Explains using picture how to solve this percent mixture problem using one variable: Ten quarts of pure apple juice are added to 90 quarts of a fruit juice that 10% pure apple juice. What is the percent concentration of pure apple juice in the resulting mixture?

http://www.youtube.com/watch?v=iymFmROuLik

 

Percent Mixture Problem #3

Explains using picture how to solve this percent mixture problem using one variable: Five pounds of candy that is 20% chocolate is combined with a candy that is 40% chocolate. How many pounds of the candy that is 40% chocolate should be used to get a candy that is 25% chocolate?

http://www.youtube.com/watch?v=rowwhpgwVhU

 

Percent Mixture Problem #4

Videos by Julie Harland http://yourmathgal.com

Explains using picture how to solve this percent mixture problem using one variable: How much water should be added to 30 cups of juice that is 70% juice to get a diluted mixture that is only 60% juice?

Raw File: percentmix4.mov on pc

http://www.youtube.com/watch?v=VEjt_Vhuf5s

 

Rate-Time-Distance (Uniform Motion) Word Problems: rt=d

Below is an introduction to and several Distance or Uniform Motion Problems which are solved on the videos using one variable and a linear equation. These are also referred to as Rate-Time-Distance Problems, and use the formula R·T=D.

 

Rate-Time-Distance Intro: rt=d

Videos by Julie Harland http://yourmathgal.com

This is an introduction to solving word problems on uniform motion (rate-time-distance) using the formula rate x time = distance, or rt=d. Six problems are introduced, and preliminary pictures are drawn. All problems are solved in subsequent videos.

Raw File: Intro rt=d.mov on mac

http://www.youtube.com/watch?v=27yVkcVwNDU

 

Rate-Time-Distance Problem 1

Solves this word problem using uniform motion rt=d formula: Two cyclists start at the same corner and ride in opposite directions. One cyclist rides twice as fast as the other. In 3 hours, they are 81 miles apart. Find the rate of each cyclist. Answer: 9 mph and 18 mph

http://www.youtube.com/watch?v=SBTAFvqMlfk

 

Rate-Time-Distance Problem 2

Solves this word problem using uniform motion rt=d formula: A jogger started running at an average speed of 6 mph. Half an hour later, another runner started running after him starting from the same place at an average speed of 7 mph. How long will it take for the runner to catch up to the jogger? Answer: 3 hours

http://www.youtube.com/watch?v=hxz_WC1Jpmg

 

Rate-Time-Distance Problem 3

Solves this word problem using uniform motion rt=d formula: A 555-mile, 5-hour trip on the Autobahn was driven at two speeds. The average speed of the car was 105 mph on the first part of the trip, and the average speed was 115 mph for the second part. How long did the car drive at each speed? Answer: 105 mph for 2 hours and 115 mph for 3 hours

http://www.youtube.com/watch?v=jcETNCbcGsY

 

Rate-Time-Distance Problem 4

Solves this word problem using uniform motion rt=d formula: Andy and Beth are at opposite ends of a 18-mile country road with plans to leave at the same time running toward each other to meet. Andy runs 7 mph while Beth runs 5 mph. How long after they begin will they meet? Answer: 1.5 hours

http://www.youtube.com/watch?v=lh3w61ohwro

 

Rate-Time-Distance Problem 5

Solves this word problem using uniform motion rt=d formula: A car and a bus set out at 2 pm from the same spot, headed in the same direction. The average speed of the car is twice the average speed of the bus. After 2 hours, the car is 68 miles ahead of the bus. Find the rate of the bus and the car. Answer: Bus speed: 34 mph; Car speed: 68 mph

http://www.youtube.com/watch?v=rGkJ8hyHIJE

 

Rate-Time-Distance Problem 6

Solves this word problem using uniform motion rt=d formula: A pilot flew from one city to another city averaging 150 mph. Later, it flew back to the first city averaging 100 mph. The total flying time was 5 hours. How far apart are the cities? Answer: 300 miles

http://www.youtube.com/watch?v=wwTVSZUpNgw

 

 

Solving Non-Linear Equations

 

Solving Equations by Factoring 1

Covers zero-product property and part 1 of how to solve non-linear equations by factoring.

http://www.youtube.com/watch?v=hadbOzKIdys

 

Solving Equations by Factoring 2

Covers zero-product property and part 2 of how to solve non-linear equations by factoring.

http://www.youtube.com/watch?v=uvqFKHU-fjg

 

 

Quadratic Formula Song and more

In this video, I show you the solutions to a general quadratic equation which is the quadratic formula. Then, I show you the words to a song you can sing to "Pop goes the weasel" and sing it. It's easier to remember the formula if you memorize the song. Also included is how to complete the square in order to derive the quadratic formula, showing all the steps.

http://www.youtube.com/watch?v=uK_RWZ1L9tE

 

 

Solve Word Problems that produce Non-Linear Equations where you can factor to solve.

 

WP1-Solve number puzzle by factoring

This is a Word Problem you solve by writing an equation and factoring. Word Problem 1 - Number Puzzle-The square of a negative number is 15 more than twice the negative number. What is the number?

http://www.youtube.com/watch?v=HOxLak15pY8

 

WP2-Solve Triangle if you know perimeter

This is a Word Problem you solve by writing an equation and factoring. Word Problem 2 - Perimeter of a Triangle-The perimeter of a given triangle is 85 meters. By looking at the picture, state the lengths of the sides of the triangle.

http://www.youtube.com/watch?v=AcGK5JL_aqk

 

WP3-Solve Rectangle if you know area

This is a Word Problem you solve by writing an equation and factoring. Word Problem 3 - Area of a Rectangle-Use the info from a picture of a rectangle to find the length and width is its area is 54 sq. ft.

http://www.youtube.com/watch?v=1DE17TuY8Rw

 

WP4-Solve triangle if you know area

This is a Word Problem you solve by writing an equation and factoring. Word Problem 4 -Area of a Triangle-The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35 square inches. Find the height of the triangle.

http://www.youtube.com/watch?v=EZjhKZU4Rko

 

WP5-Solve triangle using Pythagorean theorem

This is a Word Problem you solve by writing an equation and factoring. Word Problem 5 - Pythagorean Theorem-Find the lengths of the sides of the right triangle shown on the diagram.

http://www.youtube.com/watch?v=5TPrdcpgtX8

 

WP6-Find time using physics formula

This is a Word Problem you solve by writing an equation and factoring. Word Problem 6 - Physics ball falling application-Use the formula given to do this problem. A ball is thrown on a hard surface and bounces straight up. The initial velocity of the rebound is 64 feet per second. How many seconds later will the ball hit the ground?

http://www.youtube.com/watch?v=CepqshwePog

 

WP7-Find interest rate based on investment formula

This is a Word Problem you solve by writing an equation and factoring. Word Problem 7 - Investment problem-At the end of 2 years, P dollars invested at an interest rate r compounded annually increases to an amount, A dollars, given by a formula shown in video. Find the interest rate if $2000 increased to $2420 in 2 years. Write the answer as a percent.

http://www.youtube.com/watch?v=5vGMzZpXEBg

 

 

 

Solving Systems of Linear Equations with 2 variables

 

Solve System by Substitution - part 1

This is part 1 of how to solve a system of equations using the substitution method. The first system solved is 2x - y = -5 and y = x + 4. The second system solved is 3x + y = -14 and 4x + 3y = -22.

http://www.youtube.com/watch?v=ZqEDFqX4OwE

 

Solve System by substitution - part 2

This is part 2 of how to solve a system of equations using the substitution method. It covers special cases--a dependent system when the 2 equations are the same, and therefore the solution is infinitely many ordered pairs. The other is an inconsistent system, so there is no solution.

http://www.youtube.com/watch?v=1hsE9KYKA5g

 

 

WORD PROBLEMS USING TWO VARIABLES that have linear equations

 

Solving a Mixture Problem using 2 variables

This video shows how to solve the following mixture problem using algebra by writing a system of equations with 2 variables. Problem: Mia wants to make a punch by mixing some apple juice costing $2.25 per quart with cranberry juice costing $3.25 per quart. How many quarts of each should she use if she wants to make 100 quarts costing $2.50 per quart?

http://www.youtube.com/watch?v=Wz7ZW2sIDbA

 

 

FUN STUFF

 

Easy Ways to Multiply by 9

This video shows you easy ways to multiply single digits by 9, and larger numbers when all the digits are the same, like 88888 x 9...really easy and fun to do!

http://www.youtube.com/watch?v=VFHDn4TKHDM

 

Fun Pattern squaring numbers whose digits are all ones

fun pattern for multiplying numbers by themselves (squaring) if all its digits are 1....like 11 x 11 or 11111 x 11111, etc. Show your friends!

http://www.youtube.com/watch?v=xTffv1lpwGg

 

Numerals

Shows the original numerals and the code for how it was obvious what each numeral stood for.  These are referred to as the Arabic numerals, the Hindu numerals, Hindu-Arabic numerals and/or the Indian numerals.  I do not know the exact origins.

http://www.youtube.com/watch?v=bwQpCJroCac