Daily Exercises

Wednesday, December 16

Here are a couple of algebra word problems. We'll check them in class together tomorrow.

  1. Steve is 24 years older than his son. Steve's age is 8 years less that three times his sons age. How old is Steve?

  2. Multiplying a number by 8 and then decreasing that answer by 8 is the same as multiplying the number by 5 and then adding 10. What is the number?

Monday, December 14

Algebra word problems


First one solved at the end of the video. Answers on Tuesday.

Thursday, December 10

Some word problems for you:

  1. The sum of 3 numbers is 60. The second number is 2 more than the first. The third number is 2 more than the second. What are the numbers?

  2. There are 10 more women than men in a freshman biology lecture course. Altogether there are 100 people. How many men and how many women are in the class?

  3. Four times as many women as men attended class today. There were 35 people in class. How many were women? Men?

Email me your answers or join class on Monday for solutions.

Tuesday, December 8

Solve these problems:

  1. The total of 2 consecutive numbers is 217. What are the numbers?

  2. The total of 3 consecutive numbers is 72. What are the numbers?

  3. John is 5 years older than his sister. Together, they are 53 years old. How old are John and his sister?

Thursday, November 19 additional practice. Answers Monday in class:

Tuesday, November 17

Equations with separated unknowns

Answers at the next live class session

Monday, November 16 More 2 step equations


Exercise and answers below

Tuesday, November 10 Meaning of equations and 2 step equations


Scroll through the photos below for a 2-step equation practice and answers

Thursday, November 5 Match equation

Monday, November 2 Writing situations for equations and vice versa (word problems).


Answers

Wednesday, October 28: Equations

One step equations worksheet

Tuesday, October 27 Meeting

Key words for word problems:

Monday, October 26 meeting: review of simplifying algebraic expressions


Monday, October 19: variables, simplifying expressions, simplifying expressions with parentheses


Monday, October 19 meeting

Moderate difficulty problems and answers:

Wednesday, October 14: variables, algebraic expressions, simplifying algebraic expressions.

Wednesday, October 14 Meeting

Wednesday Exercise: (1-9 at the bottom of page)

Answers:

Tuesday, October 13 update: Sorry, due to technical difficulties, there is no video today; we'll cover today's content again on Wednesday.

Monday, October 12: Review adding and subtracting integers; Multiplying and dividing integers.

Rules for multiplying and dividing signed numbers:

  1. or divide as usual.

  2. If the signs are the same, the answer is positive. (+3)x(+4)= +12 (-3)x(-4)= +12

  3. If the signs are different the answer is negative. (+3)x(-4)= -12 (-3)x(+4)= -12


Monday, October 12 Meeting

Thursday, October 8 extra practice

Wednesday, October 7: Mixed integer problems

Here is Wednesday's meeting:

Wednesday exercise:

Answers:

Tuesday, October 6: Subtracting integers

Rules for subtracting signed numbers:

  1. Change the problem to an addition problem and change the sign of the number being subtracted (add the opposite):

(+4) - (-3) becomes (+4) + (+3) (-4) - (-3) becomes (-4) + (+3)

  1. Then follow the rules for adding signed numbers:

(+4) + (+3)=7 (-4) + (+3)= -1

Here's Tuesday's meeting.

Monday, October 5: Adding integers (apologies, there is no recording of today's online lesson). Link to practice and answers below:

Rules for adding signed numbers:

1. If the signs are the same, ADD the numbers and give the answer the sign that both numbers have.

(+3) + (+5)=8 or +8

(3-) + (-5)=-8

2. If the signs are different, SUBTRACT the numbers and give the answer the sign of the number that was larger (absolute value)

(+3) + (-5)= -2

(-3) + (+5)= 2 or +2