Quiz about Chipman Algebra I Review Guide

Question 1

Simplify each expression. 1) 1 - 2p - 7 - 4p = _______

Accepted Answer

-6p - 6

Answer

-2p - 8

Answer

6p - 6

Answer

-6p + 6

Question 2

Simplify each expression. 2) 5v - 6v = _______

Accepted Answer

-v

Answer

v

Answer

11v

Answer

-30v

Question 3

Simplify each expression. 3) 3x - 5 - 3 = _______

Accepted Answer

3x - 8

Answer

3x - 2

Answer

3x - 15

Answer

3x - 5

Question 4

Simplify each expression. 4) 8n - 7n = _______

Accepted Answer

n

Answer

15n

Answer

-n

Answer

7n

Question 5

Simplify each expression. 5) 4 + 7(7 + 2m) = _______

Accepted Answer

4 + 49 + 14m = 53 + 14m

Answer

4 + 7 + 2m = 11 + 2m

Answer

4 + 14m = 4 + 14m

Answer

4 + 7(7) + 2m = 28 + 2m

Question 6

Simplify each expression. 7) -5(10 - 10k) + 6k = _______

Accepted Answer

-50 + 56k

Answer

-50 - 44k

Answer

-50 + 4k

Answer

-50 - 56k

Question 7

Simplify each expression. 8) -2n - 5(3 + 8n) = _______

Accepted Answer

-2n - 15 - 40n = -42n - 15

Answer

-2n - 15 + 40n = 38n - 15

Answer

-2n - 5 + 8n = 6n - 5

Answer

-2n - 15 - 8n = -10n - 15

Question 8

Each graph represents a relation. Determine the domain and range.

Accepted Answer

The set of all x-values and y-values shown in the graph.

Answer

Only the positive x-values and y-values.

Answer

Only the negative x-values and y-values.

Answer

The set of all integers.

Question 9

Each graph represents a relation. Determine the domain and range.

Accepted Answer

The set of all x-values and y-values shown in the graph.

Answer

Only the positive x-values and y-values.

Answer

Only the negative x-values and y-values.

Answer

The set of all integers.

Question 10

Solve each equation. 13) $$\frac{n}{3} = -20$$ Fill in the value of n.

Accepted Answer

n = -60

Answer

n = 60

Answer

n = -23

Answer

n = 17

Question 11

Solve each equation. 16) x - 17 = -21 Fill in the value of x.

Accepted Answer

x = -4

Answer

x = 4

Answer

x = -38

Answer

x = 21

Question 12

Solve each equation. 17) 2(7n + 7) + 4 = 130 Fill in the value of n.

Accepted Answer

n = 4

Answer

n = 6

Answer

n = 8

Answer

n = 10

Question 13

Solve each equation. 19) 215 = 5(1 + 6m) Fill in the value of m.

Accepted Answer

m = 7

Answer

m = 6

Answer

m = 8

Answer

m = 5

Question 14

Solve each equation. 20) 186 = -6(1 + 4x) Fill in the value of x.

Accepted Answer

x = -8

Answer

x = 7

Answer

x = 5

Answer

x = -5

Question 15

Simplify. Your answer should contain only positive exponents. 21) $$3x^{-2}$$ 3x $$y^2$$ Write the simplified expression.

Accepted Answer

$$9x^{-1}y^2$$ or $$\frac{9y^2}{x}$$

Answer

$$3x^{-1}y^2$$ or $$\frac{3y^2}{x}$$

Answer

$$9x^2y^2$$ or $$9x^2y^2$$

Answer

$$3x^{-2}y^2$$ or $$\frac{3y^2}{x^2}$$

Question 16

Simplify. Your answer should contain only positive exponents. 24) $$2a^2 \cdot a^4 b^4$$ Write the simplified expression.

Accepted Answer

$$2a^6 b^4$$

Answer

$$2a^8 b^4$$

Answer

$$2a^6 b^8$$

Answer

$$2a^4 b^6$$

Question 17

Factor the common factor out of each expression. $$25) -50n + 20n^2$$ Write the factored expression.

Accepted Answer

-10n(5 - 2n)

Answer

-10n(5 + 2n)

Answer

10n(5 - 2n)

Answer

-5n(10 - 4n)

Question 18

Factor the common factor out of each expression. 27) $$-20p^4 + 8p$$ Write the factored expression.

Accepted Answer

$$-4p(5p^3 - 2)$$

Answer

$$-2p(10p^3 + 4)$$

Answer

$$4p^3(-5p + 2)$$

Answer

$$-8p(2p^3 - 1)$$

Question 19

Factor the common factor out of each expression. $$-10r^2 - 10$$ Write the factored expression.

Accepted Answer

$$-10(r^2 + 1)$$

Answer

-10 $$(r^2 - 1)$$

Answer

-10r(r + 1)

Answer

$$-10(r^2 + 10)$$

Question 20

Factor each completely. 29) $$4p^2 + 16p$$ Write the completely factored expression.

Accepted Answer

4p(p + 4)

Answer

$$4(p^2 + 4p)$$

Answer

(2p + 8)(2p)

Answer

2p(2p + 8)

Question 21

Factor each completely. 30) $$5x^2 + 20x - 60$$ Write the completely factored expression.

Accepted Answer

5(x + 6)(x - 2)

Answer

5(x - 6)(x + 2)

Answer

5(x + 10)(x - 1)

Answer

5(x - 3)(x + 4)

Question 22

Factor each completely. 31) $$a^2 - 3a$$ Write the completely factored expression.

Accepted Answer

a(a - 3)

Answer

$$(a - 3)^2$$

Answer

$$a^2 - 3$$

Answer

a(a + 3)

Question 23

Factor each completely. 32) $$2x^2 - 16x + 24$$ Write the completely factored expression.

Accepted Answer

2(x - 6)(x - 2)

Answer

2(x - 2)(x - 6)

Answer

2(x + 6)(x + 2)

Answer

2(x - 4)(x - 3)

Question 24

Evaluate each function for the given value. 33) f(x) = |x + 1| - 1; Find f(-5)

Accepted Answer

f(-5) = 3

Answer

f(-5) = 4

Answer

f(-5) = -5

Answer

f(-5) = 5

Question 25

Evaluate each function for the given value. 35) f(x) = -x + 2; Find f(9)

Accepted Answer

f(9) = -7

Answer

f(9) = 11

Answer

f(9) = 7

Answer

f(9) = -11

Question 26

Evaluate each function for the given value. 36) f(x) = -2x - 5; Find f(2)

Accepted Answer

f(2) = -9

Answer

f(2) = -7

Answer

f(2) = 1

Answer

f(2) = 9

Question 27

Which of the following is the correct graph of the line: y = -2/3x - 5?

Accepted Answer

A line with a slope of -2/3 and y-intercept at -5

Answer

A line with a slope of 2/3 and y-intercept at -5

Answer

A line with a slope of -2/3 and y-intercept at 5

Answer

A line with a slope of 2/3 and y-intercept at 5

Question 28

Which of the following is the correct graph of the line: y = 4x - 4?

Accepted Answer

A straight line passing through (0, -4) with a steep positive slope

Answer

A straight line passing through (0, 4) with a steep negative slope

Answer

A horizontal line passing through y = 4

Answer

A vertical line passing through x = -4

Question 29

Which of the following is the correct graph of the line: y = -1/4x - 2?

Accepted Answer

A line with a slope of -1/4 and y-intercept at -2

Answer

A line with a slope of 1/4 and y-intercept at -2

Answer

A line with a slope of -1/4 and y-intercept at 2

Answer

A line with a slope of 1/4 and y-intercept at 2

Question 30

The equation of the line to be sketched is:

Accepted Answer

y = x + 4

Answer

y = x - 4

Answer

y = 4x + 1

Answer

y = x/4

Question 31

Evaluate the expression: (-6) + 3 = ___

Accepted Answer

-3

Answer

-9

Answer

3

Answer

6

Question 32

Evaluate the expression: (-3) - (-2) = ___.

Accepted Answer

-1

Answer

-5

Answer

1

Answer

-2

Question 33

8 - (-6) = ______

Accepted Answer

14

Answer

2

Answer

-14

Answer

-2

Question 34

44) 2 - (-5) = ______

Accepted Answer

7

Answer

-3

Answer

5

Answer

-7

Question 35

2 + 1 - 1 = ______

Accepted Answer

2

Answer

1

Answer

3

Answer

0

Question 36

$$1 + 2^3 = ______$$

Accepted Answer

9

Answer

7

Answer

10

Answer

8

Question 37

Find the slope of each line.

Accepted Answer

0

Answer

1

Answer

-1

Answer

undefined

Question 38

Find the slope of the line through each pair of points.

Accepted Answer

-11/6

Answer

2/3

Answer

5/2

Answer

7/3

Question 39

Find the slope of each line. 58) x = 3

Accepted Answer

undefined

Answer

0

Answer

1

Answer

3

Question 40

Find the slope of each line. 59) x = -3

Accepted Answer

undefined

Answer

0

Answer

1

Answer

3

Question 41

Find each product. 63) (6x - 8)(6x + 8)

Accepted Answer

$$36x^2 - 64$$

Answer

$$36x^2 + 64$$

Answer

$$36x^2 - 16x + 64$$

Answer

$$36x^2 - 48x + 64$$

Question 42

Find the value of x or y so that the line through the points has the given slope. 65) (-4, y) and (-3, -2); slope: -5

Accepted Answer

y = 3

Answer

y = -7

Answer

y = 5

Answer

y = 0

Question 43

Find the value of x or y so that the line through the points has the given slope. 66) (-6, y) and (0, 8); slope: 17/6

Accepted Answer

y = -9

Answer

y = 2

Answer

y = 5

Answer

y = 0

Question 44

Find the value of x or y so that the line through the points has the given slope. 67) (x, -2) and (-4, 0); slope: -1/3

Accepted Answer

x = -2

Answer

x = 2

Answer

x = 4

Answer

x = -6

Question 45

Each graph represents a relation. Determine if the relation is a function. 69) [Graph of a vertical line at x = -2] True or False: The relation is a function.

Accepted Answer

False

Answer

True

Question 46

Each graph represents a relation. Determine if the relation is a function.

Accepted Answer

False

Answer

True

Question 47

Each graph represents a relation. Determine if the relation is a function. 71) [Graph of a piecewise linear function, passes vertical line test]

Accepted Answer

True

Answer

False

Question 48

Each graph represents a relation. Determine if the relation is a function. 72) [Graph of a piecewise linear function, passes vertical line test]

Accepted Answer

True

Answer

False

Question 49

Simplify each expression. 1) 1 - 2p - 7 - 4p = _______

Accepted Answer

-6 - 6p

Answer

6 - 2p

Answer

-8 + 2p

Answer

-6 + 6p

Question 50

Simplify each expression. 2) 5v - 6v = _______

Accepted Answer

-v

Answer

v

Answer

11v

Answer

-30v

Question 51

Simplify each expression. 3) 3x - 5 - 3 = _______

Accepted Answer

3x - 8

Answer

3x - 2

Answer

3x - 15

Answer

3x - 5

Question 52

Simplify each expression. 4) 8n - 7n = _______

Accepted Answer

n

Answer

15n

Answer

-n

Answer

0

Question 53

Simplify each expression. 5) 4 + 7(2 + 2m) = _______

Accepted Answer

53 + 14m

Answer

18 + 9m

Answer

4 + 14m

Answer

24 + 9m

Question 54

Simplify each expression. 6) 8n - 8(n - 3) = _______

Accepted Answer

24

Answer

8n - 8n + 3

Answer

8n - 8n - 24

Answer

8n + 8n - 3

Question 55

Simplify each expression. 7) -5(10 - 10k) + 6k = _______

Accepted Answer

-50 + 56k

Answer

-50 - 44k

Answer

-50 + 4k

Answer

-50 - 56k

Question 56

Simplify each expression. 8) -2n - 5(3 + 8n) = _______

Accepted Answer

-42n - 15

Answer

-42n + 15

Answer

38n - 15

Answer

-10n - 15

Question 57

Solve each equation. 14) 10 + k = 8

Accepted Answer

-2

Answer

2

Answer

0

Answer

-8

Question 58

Solve each equation. 15) -11n = -77

Accepted Answer

7

Answer

-7

Answer

11

Answer

-11

Question 59

Solve each equation. 16) x - 17 = -21

Accepted Answer

-4

Answer

4

Answer

-38

Answer

-21

Question 60

Solve each equation. 17) 2(7n + 7) + 4 = 130

Accepted Answer

8

Answer

6

Answer

10

Answer

12

Question 61

Solve each equation. 19) 215 = 5(1 + 6m)

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 62

Solve each equation. 20) 186 = -6(1 + 4x)

Accepted Answer

-8

Answer

2

Answer

5

Answer

-3

Question 63

Simplify. Your answer should contain only positive exponents. 21) $$3x^{-2} · 3xy^{2}$$

Accepted Answer

$$\frac{9y^2}{x}$$

Answer

$$9x^2y^2$$

Answer

$$6xy^2$$

Answer

$$\frac{3y^2}{x^2}$$

Question 64

Simplify. Your answer should contain only positive exponents. 23) $$xy^{-4} \cdot 3y^{3} \cdot xy^{-1}$$

Accepted Answer

$$3x^2/y^2$$

Answer

$$3x^2y^2$$

Answer

$$3x^2/y^8$$

Answer

$$3x^2y^8$$

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