Free Printable Algebra Semester 1 Exam Review

1.

What would be the best first step to solving the equation?
-3=x+5

a)

add 3 to both sides

b)

subtract 5 from both sides

c)

add 5 to both sides

d)

subtract -5 from both sides

2.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

3.

What would be the best first step to solving the equation in one step?

a)

multiply both sides by 3

b)

multiply both sides by -3

c)

divide both sides by -3

d)

add 3 to each side

4.

r + 20 = 27

a)

r = 7

b)

r = 47

c)

r = 13

d)

r = 20

5.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

6.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

7.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

8.

Solve the equation for x:
2x + 3x + 4 = 44

a)

x = 8

b)

x = 9

c)

x = 10

d)

x = 11

9.

-11 + 3(b + 5) = 7

a)

b = 1

b)

b= -1

c)

b = 3

d)

b = -3

10.

5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

11.

7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

12.

3x - 6 = 4 + 2x

a)

One Unique Solution

b)

No Solution

c)

Infinitely Many Solutions

13.

3x - 8 = 3(x - 4) + 1

a)

One Unique Solution

b)

No Solution

c)

Infinitely Many Solutions

14.

3x - 7 = 3(x - 3) + 2

a)

Infinitely Many Solutions

b)

One Unique Solution

c)

No Solution

15.

Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 equal lengths of feet each. Which equation matches the situation?

a)

7 + 9x = 30

b)

30 = x - 7 - 9

c)

30/x = 9-7

d)

x - 30 = 7(9)

16.

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

a)

3(x + 5) = 17

b)

3x + 5 = 17

c)

5(x + 3) = 17

d)

5x + 3 = 17

17.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

18.

Solve the literal equation for x: $y-3x=m$

a)

$m+\frac{y}{3}$

b)

$\frac{m-y}{-3}$

c)

$\frac{m}{y-3}$

d)

$m-y+3$

19.

Solve the equation for w. ^{x = w / a}

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

20.

Solve for x:
ax - b = c+d

a)

x = a(c + d + b)

b)

x = (c + d) / (a-b)

c)

x = a / (c + b + d)

d)

x= (c + b + d)/a

21.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

22.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

23.

The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?

a)

480

b)

1960

c)

84

d)

25

24.

In a cooking class there are 9 women and 3 men. Is the ratio of women to men ...

a)

4:1

b)

1:3

c)

3:1

25.

Find the Unit Rate of rotations per minute.
405 rotations in 5 minutes

a)

81 rotations per minute

b)

73 rotations per minute

c)

18 rotations per minute

d)

810 rotations in 10 minutes

26.

At HEB 3 pounds of hamburger meat is on sale for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?

a)

$30

b)

$20

c)

$60

d)

$10

27.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

28.

A sixth-grade math teacher can grade 25 homework assignments in 20 minutes. Is he working at a faster rate or slower rate than grading 36 homework assignments in 30 minutes?

a)

Slower rate

b)

Faster rate

c)

He didn't grade them

d)

Everyone got 100

29.

When graphing an inequality, you use an OPEN dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

30.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

31.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

32.

Match:
You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

33.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

34.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

35.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

36.

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 and $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

a)

0.85x + 375 > 450

b)

0.85x + 375 < 450

c)

0.85 + 375x > 450

d)

0.85 + 375x < 450

37.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

38.

Solve the inequality.
30 + n ≥ 50

a)

x > 50

b)

x > 80

c)

x < 30

d)

x > 20

39.

Solve
-9h > (-63)

a)

h < 7

b)

h > 7

c)

h < -7

d)

h > -7

40.

-1(2x + 4) ≥ 6

a)

x ≤ -5

b)

x ≥ -5

c)

x ≤ -1

d)

x ≥ -1

41.

Solve 24 > -3r > -9

a)

-8 < r < 3

b)

-8 > r > 3

c)

r > - 8 and r > 3

d)

r > -8 or r < 3

42.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

43.

Write an inequality for Graph 2.

a)

-2 ≤ x < 5

b)

x ≤ -2 AND x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

44.

0 < x + 7 < 9

a)

-7<x and x<2

b)

-7<x or x<2

c)

-7>x and x>2

d)

-7>x or x>2

45.

When solving inequalities you must _________________ the inequality when ____________________ by a negative.

a)

flip; dividing

b)

ignore; multiplying and dividing

c)

flip; multiplying

d)

flip; multiplying and dividing

46.

When graphing "AND" inequalities, the graph always looks like...

a)

two dots with arrows going in the same direction

b)

two dots with arrows going in opposite directions, towards each other

c)

two dots with arrows going in opposite directions, away from each other

d)

two dots with no arrows

47.

When graphing the solutions to an "OR" inequality, the shaded part (or arrows)...

a)

are in between and connect the dots

b)

overlap in some places but dont overlap in other places

c)

go in opposite directions and never overlap

d)

go in different directions but always overlap

48.

Solve for x
l 5x l = 40

a)

x = 8 and x =-8

b)

x = 35 and x = -35

c)

Only x = 8

d)

No Solution

49.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

50.

Solve for x
l 3x + 2 l = 5

a)

x = -2.333... and x = 1

b)

x = 4 and x = 8

c)

x = 0

d)

No Solution

51.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

52.

Solve for x
l 2x−1 l +4 = 8

a)

x = 2.5 and x = -1.5

b)

x = 2 and x = -1

c)

x = -2 and x = 9

d)

No Solution

53.

Solve for x
l x−6 l + 4= 10

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

54.

Solve for x
3 l 4w−1 l −5 = 10

a)

x = 1.5 and x =-1

b)

x = -1.5 and x = 1

c)

x =1 and x = -1

d)

No Solution

55.

Solve for x
2 lx−4l+8=18

a)

x = 9 and x =-1

b)

x = 1 and x = -9

c)

x= 4 and x = -2

d)

No Solution

56.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

57.

a)

Function

b)

Not a Function

58.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

59.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

60.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

61.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

62.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

63.

Is this table a function or not a function?

a)

Function

b)

Not a Function

64.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

65.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

66.

Does the table represent a function?

a)

Yes, there is a repeated x-value.

b)

No, there aren't any repeated y-values.

c)

Yes, there are repeated y-values.

d)

No, there is a repeated x-value.

67.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

68.

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

a)

-8

b)

10

c)

-144

d)

answer not here

69.

What is $f\left(0\right)$ for the function $f\left(x\right)=2x+3$

a)

2x

b)

-3

c)

3

d)

10

70.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

f(1) = 2x (1) + 1

71.

$Given\ h\left(x\right)=x^2-4\ what\ is\ h\left(6\right)?$

a)

32

b)

0

c)

-4

d)

77

72.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

73.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

74.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

75.

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

76.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

77.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

78.

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

a)

y=-3

b)

y=3x

c)

y=-3x

d)

x=-3

79.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

80.

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

a)

y-8=5(x-3)

b)

y=5x+8

c)

y-3=5(x-8)

d)

y-y₁₌ m(x-x₁₎

81.

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

82.

In the equation y=mx+b, what is m?

a)

a point

b)

slope

c)

y-int

d)

x-int

83.

In the equation y=mx+b what is b?

a)

a point

b)

slope

c)

x-int

d)

y-int

84.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

85.

What type of slope?

a)

zero slope

b)

undefined

c)

negative

d)

positive

86.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

87.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

88.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

89.

What is the "b" (or y-int) of the line?

a)

-5/4

b)

5

c)

-4

d)

-1

90.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

91.

What is the equation of the line that passes through (-2, 3) and has a slope of 4?

a)

y = -2x + 3

b)

y = 4x - 2

c)

y = 4x + 3

d)

y = 4x + 11

92.

What is the equation of the line that passes through (-1, -7) and has a slope of 2?

a)

y = 2x - 5

b)

y = -2x - 5

c)

y = 2x - 1

d)

y = 2x - 7

93.

What is the equation of the line that passes through (-1, -4) and (-2, -1)

a)

y = 2x - 1

b)

y = -2x - 4

c)

y = 3x - 7

d)

y = -3x - 7

94.

What is the equation of the line that passes through (1, 4) and (2, 1)

a)

y = -3x + 1

b)

y = -3x + 4

c)

y = -3x - 7

d)

y = -3x + 7

95.

Which equation matches the graph?

a)

y= 1x + 3

b)

y= 1x

c)

y= -1x + 3

d)

y= -1x

96.

Which equation matches the graph?

a)

y= 3x - 5

b)

y= -3x - 5

c)

y= 3x + 5

d)

y= 3x + 5

97.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

98.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

99.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

100.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

101.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

102.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

103.

Name the x- and y-intercepts for the equation:
2x + y = 6

a)

(0, 3) and (6, 0)

b)

(0, -3) and (-6, 0)

c)

(3, 0) and (0, 6)

d)

(-3, 0) and (0, -6)

104.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

105.

-y=x+3

a)

x+y=3

b)

x+y=-3

c)

-x-y=3

d)

-3=x+y

106.

-6x-10y-40=0

a)

-6x-10y=40

b)

6x-10y=40

c)

6x+10y=-40

d)

6x+10y=40

107.

-2x+20=-5y

a)

2x+5y=20

b)

2x-5y=20

c)

20=2x-5y

d)

-2x+5y=-20

Algebra Semester 1 Exam Review

Total questions: 107

Worksheet time: 5hrs 56mins

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