Free Printable Algebra 1 Fall Final Review

1.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

2.

Evaluate the following expression:
-3x² - 5x + 7 when x = -2

a)

5

b)

10

c)

12

d)

7

3.

If a = 5 and b = 6, what is the value of ab - b?

a)

10

b)

12

c)

20

d)

24

4.

Simplify the following expression:
19 - ( 3 - 5b)

a)

16 + 5b

b)

21 + 5b

c)

16 - 5b

d)

21 - 5b

5.

3y + 5

What is a name for the 3 in this expression?

a)

term

b)

variable

c)

coefficient

d)

constant

6.

Match the following inequalities to the number line that best represents the solution set.

a)

1.

$1<x$

b)

2.

$x<1$

c)

3.

$x\ge1$

d)

4.

$1\ge x$

7.

Simplify the following expression.

$4\left(3x-2\right)-5x-8$

a)

$2x-6$

b)

$7x-16$

c)

$7x$

d)

$7x-1$

8.

Rewrite the following equation in slope-intercept form.

$8x-2y=42$

a)

$y=4x+21$

b)

$y=-4x+21$

c)

$y=4x-21$

d)

$y=-4x-21$

9.

Match each of the following mathematical sentences to the correct description.

a)

$7\left(6-x\right)+13x$

1.

Expression

b)

$-21x+24=-56x-46$

2.

Equation

c)

$25+6\left(x-5\right)>-3x-23$

3.

Inequality

10.

Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

11.

2 + (9²- 4)

a)

16

b)

77

c)

79

12.

(15 ÷ 3)² + 9 ÷ 3

a)

11.3

b)

28

c)

13

13.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

14.

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

a)

4

b)

3

c)

2

d)

1

15.

a)

2

b)

4

c)

6

d)

8

16.

7(1 - y) = -3(y - 2)

a)

x = 1/4

b)

x = 4

c)

x = 5

17.

Solve: 2(4x-3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

18.

12(2k + 11) = 12(2k + 12)

a)

144

b)

-12

c)

no solution

d)

all real numbers

19.

Solve the equation:

3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

20.

Solve the proportion

a)

x = 3

b)

x = -3

c)

x = 1

d)

x = -1

21.

Solve for b

a)

b = 8

b)

b = 17/12

c)

b = 4/3

d)

b = 1/8

22.

Solve the inequality.
- 3(9 + x) ≥ - 21

a)

x ≤ 2

b)

x ≥ 2

c)

x ≥ - 2

d)

x ≤ - 2

23.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

24.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

25.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

26.

Select all possible solutions for this inequality.

a)

1

b)

2

c)

3

d)

4

e)

2.5

27.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

28.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

29.

Which relation is NOT a function?

a)

{ (1,2), (3,5), (4,6), (5,6) }

b)

{ (-1,3), (4,6), (-1,6), (2,4) }

c)

{ (2,3), (4,5), (9,10), (12,13) }

d)

{ (-3,3), (-4,3), (-5,3), (-6,3) }

30.

What is a function?

a)

Any set of ordered pairs

b)

When each input has two outputs

c)

When each input has exactly one output

d)

When the input matches to two different outputs

31.

Function or Not a Function?

a)

Function

b)

Not a Function

32.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

33.

What is the range of this relation?
{ ( 3, -1), (8, 2), (1,4), (-1, -1) }

a)

3, -1, 8

b)

3, 8, 1, -1

c)

-1, 2, 4

d)

2, 1, 8, -1

34.

What is the domain of the mapping?

a)

1, 2, 5, 7, 12, 10

b)

1, 5, 12

c)

2, 7, 10

d)

5, 5, 2, 2

35.

Is the graph pictured a function?

a)

Yes

b)

No

36.

Which line has the greatest average rate of change on the graph? Why?

a)

Blue, it's average rate of change is $120 per month

b)

Red, it's average rate of change is $40 per month

c)

Blue, it's average rate of change is $160 per month

d)

Red, it's average rate of change is $80 per month

37.

Which table does NOT represent a function?

a)

b)

c)

d)

38.

What is the range of the function f(x)= x² + 2 when the domain
is {-1, 0 , 1}?

a)

{1, 2, 3}

b)

{2, 3}

c)

{0, 2, 4}

d)

{1, 3}

39.

What is the domain of the function graphed?

a)

x < 5

b)

x ≥ 1

c)

x > 0

d)

All real numbers

40.

What is the range of the function graphed?

a)

-3 < x ≤ 6

b)

-3 < y ≤ 6

c)

2 < y ≤ 6

d)

2 < x ≤ 6

41.

What is the domain of the graph?

a)

{-4, 0, 2, 4}

b)

{-5, -4, -3, -1}

c)

{-5, -4, -3, -1, 0, 2, 4}

d)

All real numbers

42.

What is the domain of this graph?

a)

All Real Numbers

b)

x ≥ -2

c)

x < 6

d)

-2 < x < 6

e)

x ≤ -2

43.

What is the RANGE of this graph?

a)

-7 < x < 5

b)

-7 ≤ y < 5

c)

-3 < x < 1

d)

-3 ≤ y < 1

44.

What is the Domain?

a)

y ≥ 6

b)

All real numbers

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

45.

Identify the domain and range of the function.

a)

Domain: -6 ≤ x ≤ 2

Range: -3 ≤ y ≤ 5

b)

Domain: All real number

Range: -3 ≤ y ≤ 5

c)

Domain: All real numbers

Range: -∞ < y ≤ 3

d)

Domain: All real numbers

Range: 3 ≤ y < ∞

46.

What is the range?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

47.

What is f(6) for the function f(x)=3x-8

a)

-8

b)

10

c)

-144

d)

answer not here

48.

If $g\left(x\right)=-2x^2+9$ , what is the value of $g\left(6\right)$ ?

a)

$-63$

b)

$81$

c)

$-15$

d)

$33$

49.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

50.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

51.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

52.

Find the slope of the line.

a)

0

b)

1

c)

undefined

d)

-1

53.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

54.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

55.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

56.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

57.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

58.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

-7x + 2y = 9

d)

3x + 2 = y

59.

what is the first step to solve for slope intercept form on

-x + 4y = 11

a)

subtract 11 from both sides

b)

add x to both sides

c)

subtract x from both sides

d)

put in th y=

60.

what is the slope for the following equation 9x + 2y = 9

a)

-2/9

b)

-9/2

c)

-9

d)

9

61.

What is the y-intercept of
2x-5y=35?

a)

(0,-7)

b)

(-7,0)

c)

(35/2, 0)

d)

(0,35/2)

62.

Which of the following is the graph of $x\ -\ 2y\ =\ -8$ ?

a)

b)

c)

d)

63.

Write the equation of the line.

a)

y=(3/5)x+1

b)

y=(3/5)x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

64.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

65.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

66.

Graph. y = -4

a)

a

b)

b

c)

c

d)

d

67.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

68.

What is the equation of the line passing through points (1,1) and (3,-5).

a)

y = -3x + 4

b)

y = 3x - 4

c)

y = -3x - 4

d)

y = 3x + 4

69.

Write the following equation in slope intercept form:
y + 2 = -3(x - 5)

a)

y = -3x + 17

b)

y = -3x + 13

c)

y = -3x - 13

d)

y = -3x - 17

70.

Write the equation of the line that goes through points (-2, -1) and (-3, 5) in slope intercept form.

a)

y = 6x + 13

b)

y = -6x - 13

c)

y = -1/6x + 1

d)

y = 1/6x - 1

71.

Which two lines are parallel?

a)

$y=-\frac{1}{4}x-25$

b)

$y=\frac{1}{4}x+2$

c)

$y=-4x-25$

d)

$y=4x+13$

e)

$y=\frac{1}{4}x+9$

72.

Which line is parallel to the line: $5x+6y=12$

a)

$y=-\frac{5}{6}x-2$

b)

$y=\frac{5}{6}x+13$

c)

$y=5x+11$

d)

$y=-5x-100$

73.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

74.

A music app charges $2 to download the app plus $1.29 per song downloaded. Write a linear equation to find the total cost to download 30 songs.

a)

y=1.29x + 2

b)

y=1.29 + 2x

c)

30 = 1.29x + 2

d)

y = 1.29(30) + 2

75.

A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day was $98. If they sold 10 pumpkins, write a linear equation to find the number of tomatoes sold.

a)

5p + 3t = 98

b)

5(10) + 3t = 98

c)

5p + 3(10) = 98

d)

5(10) + 3(10) = 98

76.

There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to rent a truck. Write an equation to find the daily fee. (Select all that apply.)

a)

48 = 0.5x + 64

b)

y - 64 = 0.5 (x - 48)

c)

64 = 0.5(48) + b

d)

48 = 0.5(64) + b

77.

The equation $y\sim1.40t\ +1.90$ represents the cost of a hamburger with t toppings. What does the slope mean in this context?

a)

Every hamburger costs $1.40

b)

Every hamburger costs $1.90

c)

Every hamburger costs $2.90

d)

Every topping adds $1.40 to the cost of the hamburger

78.

If Gold's Gym is looking to buy 30 TVs, how much will each one cost?

a)

400

b)

750

c)

1250

d)

0

79.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

80.

2h = w-3p

(solve for p)

a)

p = (2h - w) / -3

b)

p = (2h - w) / 3

c)

p = -6hw

d)

p = -6h - 3w

81.

$am+xy=c$ solve for y

a)

$y=\frac{c-am}{x}$

b)

$y=\frac{c+am}{x}$

c)

$y=c-amx$

d)

$y=\frac{c-x}{am}$

Algebra 1 Fall Final Review

Total questions: 81

Worksheet time: 6hrs 33mins

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