*Sujin Shin*

# Algebra I Homeschool Assignment Answer Keys

### Note: all steps and solutions should be documented in student work.

### Matrices & Absolute Value Answer Key

1. 11

2. 38

3. x = 3, -10

4. x = 5, 1

5. (-7,0)

6. y = |x - 3| - 4

7. y = 4 |x - 4| + 1

8.

9.

### Exponents & Polynomials Answer Key

1. 3ab3c2

2. x3/125

3. 3pq4/3

4. The graph is either cubic or quintic. We know that graphs will a positive leading coefficient and odd exponents go down to infinity at the left and up to infinity at the right.

5. 4x4 - 3x3 - 3x2 - 2x + 4

6. 3x2 - 4x + 8

7. -2x4 + 2x3 - 8x2 + 4x - 1 + 3 / (x + 4)

8. First you need to isolate z by performing operations on both sides of the equals sign: z = 2y - 3x

Then substitute the given values for y and x: z = 2*3 - 3*1

Therefore: z = 6 - 3 = 3

### Factoring, Graphing Parabolas & Solving Quadratics Answer Key

1. (-5, -6)

2.

3. y = 3 (x + 4) (x - 2)

4. 28x2 - 20x - 8

5. (x + 7) (x - 4)

6. 3x (x + 4) (x - 5)

7. (4p - 1) (p + 6) = 0 ; p = - 1/4, -6

8. 3x2 + 10x - 8 = 0 ; x = 2/3, -4

9. y = (x + 3)2 -7

10. x = 1.39 or 0.36

11. x = 1.82, -1.42

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Back*Algebra I Homeschool Assignment Answer Keys*

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