Algebra 1 10401

Semester 2

Students must complete the following to receive full credit for EACH credit/unit:

Terms Define all terms, give examples when appropriate

Notes 10 Bullet Points from each section or 3-5 sentence summaries from each section

Questions Answer the questions completely

Test Take each test found at: https://testmoz.com/class/16400

All test passwords are: osc

All videos have Spanish translations under the play button.

Todos los videos tienen traducción al español debajo del botón de reproducción.

Unit 6 - Exponential Functions and Sequences

Terms to Know:

Terms to Know:

  • solving systems by graphing

  • solving systems using substitution

  • solving systems using elimination

  • writing systems

  • linear inequalities

  • graphing inequalities

  • systems of linear inequalities

  • concepts of linear programing

  • systems with nonlinear equations

Notes: 10 Bullet Points from each section or 3-5 sentence summaries from each section.

Section 6.1: Properties of Exponents

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Section 6.2: Radicals and Rational Exponents

Example 1

Example 2

Example 3

Example 4

Example 5

Section 6.3: Exponential Functions

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Section 6.4: Exponential Growth and Decay

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Section 6.5: Solving Exponential Equations

Example 1

Example 2

Example 3

Example 4

Section 6.6: Geometric Sequences

Example 1

Example 2

Example 3

Example 4

Example 5

Section 6.7: Recursively Defined Sequences

Example 1

Example 2

Example 3

Example 4

Example 5

Important Questions: Answer the following Questions

Simplify the expression. Write your answer using only positive exponents.

  1. (12x-5y3) / (3-2x-2y-4)

  2. (5x4y0)-3

Rewrite the expression as a power of a product.

  1. 9x6y8

  2. 64x9y9

Evaluate the expression.

  1. (27)-2/3

  2. (8)2/3 * (27)-1/3

Determine whether the sequence is arithmetic, geometric, or neither.

  1. 1, 3, 6, 10, ...

  2. -80, 40, -20, 10, ...

You deposit $675 in a savings account that earns 6% interest compounded monthly.

  1. Write a function that represents the balance after t years.

  2. What is the balance after 3 years?

Take the Algebra 1 Unit 6 Test at https://testmoz.com/class/16400


Unit 7 - Polynomial Equations and Factoring

Terms to Know:

Terms to Know:

  • quadratic functions

  • graphing simple quadratic functions

  • graphing quadratic functions

  • square roots

  • solving quadratic equations

  • finding roots

  • using the quadratic formula

  • using the discriminant

Notes: 10 Bullet Points from each section or 3-5 sentence summaries from each section.

Section 7.1: Adding and Subtracting Polynomials

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Section 7.2: Multiplying Polynomials

Example 1

Example 2

Example 3

Example 4

Example 5

Section 7.3: Special Products of Polynomials

Example 1

Example 2

Example 3

Example 4

Section 7.4: Solving Polynomial Equations In Factored Form

Example 1

Example 2

Example 3

Example 4

Example 5

Section 7.5: Factoring x2 + bx + c

Example 1

Example 2

Example 3

Example 4

Section 7.6: Factoring ax2 + bx + c

Example 1

Example 2

Example 3

Example 4

Example 5

Section 7.7: Factoring Special Products

Example 1

Example 2

Example 3

Example 4

Example 5

Section 7.8: Factoring Polynomials Completely

Example 1

Example 2

Example 3

Example 4

Important Questions: Answer the following Questions

Solve each equation.

1) 2n2 n3 − n2 − 136n = 0

2) 5x3 + 4x2 − 57x = 0

3) 6n4 + 9n3 + 3n2 = 0

4) 2n3 + 24n2 − 56n = 0

5) x3 − x = 0

6) 2r5 − 6r4 − 56r3 = 0

7) 12b3 − 2b2 − 30b = 0

8) 4r4 − 64r2 = 0

9) 12b3 + 6b2 = 18b

10) 6v3 − 42v = −4v2

Take the Algebra 1 Unit 7 Test at https://testmoz.com/class/16400


Unit 8 - Graphing Quadratic Functions

Terms to Know:

Terms to Know:

  • exploring exponential functions

  • exponential growth

  • exponential decay

  • fitting exponential curves to data

  • zero and negative exponents

  • scientific notation

  • significant digits

  • multiplication property of exponents

  • division properties of exponents

Notes: 10 Bullet Points from each section or 3-5 sentence summaries from each section.

Section 8.1: Graphing f(x) = ax2

Example 1

Example 2

Example 3

Example 4

Section 8.2: Graphing f(x) = ax2 + c

Example 1

Example 2

Example 3

Example 4

Section 8.3: Graphing f(x) = ax2 + bx + c

Example 1

Example 2

Example 3

Example 4

Example 5

Section 8.4: Graphing f(x) = a(x - h)2 + k

Example 1

Example 2

Example 3

Example 4

Example 5

Section 8.5: Using Intercept Form

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Section 8.6: Comparing Linear, Exponential, and Quadratic Functions

Example 1

Example 2

Example 3

Example 4

Example 5

Important Questions: Answer the following Questions

Use Desmos.com to sketch the graph of each function. Plot at least 5 Points each.

1) f (x) = x2 - 2x

2) f (x) = x2 + 2x - 2

3) f (x) = -x2 + 4x - 3

4) f (x) = -x2 +4x - 3

5) f (x) = -2x2 + 4x

6) f (x) = 2x2 +4x + 1

7) f (x) = -x2 + 4x - 2

8) f (x) = 2x2 - 4x - 2

9) f (x) = -2x2 - 8x - 5

10) f (x) = x2 - 2x + 5

Take the Algebra 1 Unit 8 Test at https://testmoz.com/class/16400


Unit 9 - Solving Quadratic Equations

Terms to Know:

Terms to Know:

  • Pythagorean theorem

  • right triangle

  • distance formula

  • trigonometric ratios

  • simplifying radicals

  • subtracting radicals

  • adding radicals

  • solving radical equations

  • graphing square root functions

  • box and whisker plots

  • analyzing data using standard deviation

Notes: 10 Bullet Points from each section or 3-5 sentence summaries from each section.

Section 9.1: Properties of Radicals

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Example 9

Section 9.2: Solving Quadratic Equations By Graphing

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Section 9.3: Solving Quadratic Equations Using Square Roots

Example 1

Example 2

Example 3

Example 4

Example 5

Section 9.4: Solving Quadratic Equations By Completing The Square

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Section 9.5: Solving Quadratic Equations Using The Quadratic Formula

Example 1

Example 2

Example 3

Example 4

Example 5

Section 9.6: Solving Nonlinear Systems of Equations

Example 1

Example 2

Example 3

Example 4

Example 5

Important Questions: Answer the following Questions

Solve each equation with the quadratic formula.

1) m2 − 5m − 14 = 0

2) b2 − 4b + 4 = 0

3) 2m2 + 2m − 12 = 0

4) 2x2 − 3x − 5 = 0

5) x2 + 4x + 3 = 0

6) 2x2 + 3x − 20 = 0

7) 4b2 + 8b + 7 = 4

8) 2m2 − 7m − 13 = −10

9) 2x2 − 3x − 15 = 5

10) x2 + 2x − 1 = 2

Take the Algebra 1 Unit 9 Test at https://testmoz.com/class/16400


Unit 10 - Radical Functions and Equations

Terms to Know:

Terms to Know:

  • adding and subtracting polynomials

  • multiplying and factoring

  • multiplying polynomials

  • factoring trinomials

  • factoring special cases

  • solving equations by factoring

  • completing the square

  • choosing an appropriate method for solving

  • inverse variation

  • rational expressions

  • rational functions

  • solving rational equations

  • algebraic reasoning

  • counting outcomes and permutations

  • combinations

Notes: 10 Bullet Points from each section or 3-5 sentence summaries from each section.

Section 10.1: Graphing Square Root Functions

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Section 10.2: Graphing Cube Root Functions

Example 1

Example 2

Example 3

Example 4

Example 5

Section 10.3: Solving Radical Equations

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Section 10.4: Inverse Of A Function

Example 1

Example 2

Example 3

Example 4

Example 5

Important Questions: Answer the following Questions

Solve each equation. Remember to check for extraneous solutions.

1) x = 10

2) 10 = (m/10)

3) (v − 4) = 3

4) 6 = (v − 2)

5) n = 9

6) 5 = (x + 3)

7) 2 = (4b)

8) (n + 9) = 1

9) −8 + (5a − 5) = −3

10) 10(9x) = 60

Take the Algebra 1 Unit 10 Test at https://testmoz.com/class/16400