Free Printable Semester 1 Exam Review Pre-Algebra

1.

Mrs. Hiltz and Ms. Weber decide to host a lemonade stand. The table they use has side lengths of 5 feet. What is the area of their table?

a)

25 feet

b)

25 square inches

c)

5 ft²

d)

25 square feet

2.

Mr. Jarowski is hanging a square picture frame that has an area of 169 cm². Find the side length of the frame.

a)

12 cm

b)

13 cm

c)

13 in

d)

16 cm

3.

5x²=500

a)

7, -7

b)

10

c)

25, -25

d)

10, -10

4.

y² = 144

a)

14

b)

12

c)

-12

d)

-12 and 12

5.

Leona is so excited. Her grandma is ordering a cubic hot tub that has a volume of 216 ft³. Her grandma needs to know how long each side is to order trim. What is the length of each side?

a)

4 feet

b)

6 feet

c)

8 feet

d)

108 feet

6.

What is the difference between the area of square A and square B.

Square A has side lengths of 5 cm and square B has side lengths of 7 cm.

a)

2 cm²

b)

4 cm²

c)

16 cm²

d)

24 cm

e)

24 cm²

7.

Using the graph above, determine the unit rate.

a)

0

b)

3

c)

6

d)

9

8.

The graph above shows the price of games in dollars. Is the graph proportional and how do you know?

a)

The graph is proportional because it is linear.

b)

The graph is proportional because it is linear and passes through the origin.

c)

The graph is not proportional because it does not pass through the origin.

d)

The graph is not proportional because it is not linear and it does not pass through the origin.

9.

What is the constant of proportionality for the table above?

a)

2

b)

1/2

c)

3

d)

1/3

10.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

11.

Which graph is non-proportional?

a)

A

b)

B

c)

C

d)

D

12.

a)

y = 1/5x

b)

y = 5x

c)

y = 1/2x

13.

Match the correct equation to the graph

a)

y = 30x

b)

y = 5x

c)

y = 6x

d)

y = x

14.

Match the correct equation to the graph

a)

y = x

b)

y = 12x

c)

y = 6x

d)

y = 8x

15.

Who has the greater rate of change?

a)

Smith has the greater rate of change.

b)

Harmon has the greater rate of change.

c)

Macey has the greater rate of change.

d)

They have the same rate of change

16.

Given that the slope is 2/3 and the y intercept is -3 what is the equation of the line?

a)

y = 2/3x - 3

b)

y = 2/3x + 3

c)

y = -2/3x - 3

d)

y = -2/3x + 3

17.

Given that the slope is -4 and the y intercept is -4 what is the equation of the line?

a)

y = 4x - 4

b)

y = -4x - 4

c)

y = -4

d)

y = -4x + 4

18.

What is the slope of the line shown?

a)

4/3

b)

-4/3

c)

-4

d)

-3/4

19.

What is the y-intercept of this line?

a)

(0, 5)

b)

(25, 0)

c)

(0, -5)

d)

(0, -25)

20.

Identify the slope and y intercept to write an equation of the line.

a)

y = -1/4x + 2

b)

y = 1/4x + 2

c)

y = -4x + 2

d)

y = 4x - 2

21.

What does 'b" represent in
y = mx + b

a)

y-intercept

b)

x-intercept

c)

nothing

d)

slope

22.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

23.

Which line has a slope of 0?

a)

Line A

b)

Line B

c)

Line C

d)

Line D

24.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

25.

What is the equation of this line?

a)

x=-2

b)

y=-2x

c)

x=2

d)

y=-2

26.

Solve.

a)

-1

b)

All real numbers

c)

No solution

d)

0

27.

Solve.

a)

All real numbers

b)

0

c)

No solution

d)

4

28.

Solve.

a)

No solution

b)

All real numbers

c)

3

d)

0

29.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

30.

What is the function rule of the table?

a)

y=x-10

b)

y=x-14

c)

y=x÷3

d)

y=x*3

31.

Which list of numbers completes the table?

a)

38, 42

b)

39, 42

c)

36, 40

d)

46,43

32.

For the function (0,1), (1,-3), (2,-4), & (-4,1), which choice gives the correct domain & range?

a)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

b)

D: {-4, 0, 1, 2}
R: {-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R: {1, -3, -4}

d)

D: {-4, -3, 1}
R: {-4, 0, 1, 2}

33.

Does the graph represent a function?

a)

Yes

b)

No

34.

Is the relation shown a function?

a)

No, because the x-value 11 is paired with 5 and 8.

b)

Yes, because each x-value has only one y-value paired with it.

35.

What is the domain of the relation shown in the table?

a)

{12}

b)

{6, 18}

c)

{3, 9, 15, 16}

d)

{13}

36.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

37.

What is the range of the table?

a)

{-4, 0, 1, 3}

b)

{-2, 0, 2, 3}

c)

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

d)

{ (0, 0), (2, -4), (3, 3), (-2, 1) }

38.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

39.

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

a)

$50 per hour

b)

$12 per hour

c)

$192 per hour

d)

$25 per hour

40.

Which equations form a linear function?

a)

$y=2x-5$

b)

$y=x^2+2$

c)

$y=-x$

d)

$y=\frac{4}{x}$

41.

A function is a type of relation where every _____ has exactly one ______

a)

input/output

b)

output/input

c)

inverse/output

d)

output/inverse

42.

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15

How much would 50 shirts cost?

a)

y= 40

b)

y= 400

c)

y= 415

d)

y= 65

e)

y= 390

43.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

44.

What is the slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

45.

Who has the greater rate of change?

a)

Tyler has the greater rate of change with 2/3

b)

Aubri has the greater rate of change with 3/2

c)

Tyler has the greater rate of change with 3/2

d)

They have the same rate of change.

46.

Who has the greater rate of change?

a)

Hunter has the greater rate of change.

b)

Casey has the greater rate of change

c)

They have the same rate of change

47.

Which graph shows the object standing still?

a)

A

b)

B

c)

C

d)

D

48.

Every morning, Tom walks along a straight road from his home to the bus stop. Below, is a graph representing Tom’s trip to school.
- What is the distance covered through the second segment, which is between 50 seconds, and 70 seconds?

a)

40 meters

b)

60 meters

c)

80 meters

d)

20 meters

49.

Which line represents an object moving at a faster speed?

a)

A

b)

B

50.

At 60 seconds, how far had this object traveled?

a)

0 m

b)

10 m

c)

20 m

d)

40 m

51.

During which segment is the object increasing speed?

a)

X

b)

Y

c)

Z

52.

During which segment is the object decreasing speed?

a)

X

b)

Y

c)

Z

53.

During which segment is the object moving at the fastest speed?

a)

A

b)

B

c)

C

d)

D

54.

During which segment is the object motionless?

a)

L

b)

M

c)

N

55.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

56.

Level 1

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

57.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

58.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

59.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

60.

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

a)

65 miles

b)

89 miles

c)

45.4 miles

d)

We don't have enough information.

61.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

$17^2+8^2=b^2$

b)

$8^2+b^2=17^2$

c)

$17^2+b^2=8^2$

d)

$\frac{8^2}{b^2}=\frac{17^2}{100}$

62.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

63.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

64.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

65.

Would a triangle with these side lengths be a right triangle?
4, 5, 6

a)

Yes

b)

No

66.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

67.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

68.

Find the distance between the 2 points. Round to the nearest hundredth.

a)

3

b)

2.23

c)

2.24

d)

2.2

69.

All of the following are perfect squares except for what number?

a)

81

b)

121

c)

361

d)

198

70.

A perfect square is when a whole number is multiplied by itself.

a)

FALSE

b)

TRUE

71.

Between which two whole numbers is the
√5?

a)

1 and 2

b)

2 and 3

c)

3 and 4

d)

4 and 5

72.

125

a)

Is a perfect square.

b)

Is not a perfect square.

73.

√7

a)

Rational

b)

Irrational

c)

real

d)

fake

74.

.141414141414...

a)

Rational

b)

Irrational

c)

real

d)

fake

75.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

76.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a ratio.

c)

A rational number cannot be a repeating decimal.

77.

What type of number is π ?

a)

Rational

b)

Irrational

78.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

79.

Which number is a rational number ?

a)

1/4

b)

π

c)

√3

d)

∛25

80.

Irrational Numbers....

a)

cannot be represented as a simple fraction

b)

can be represented as a fraction

c)

can be a repeating decimal

81.

A fraction is which type of number?

a)

Rational

b)

Irrational

82.

What does this symbol represent?

a)

square root

b)

divide by 2

c)

cube root

d)

greater than or less than

83.

Which representations are equal to 64?

a)

8²

b)

32²

c)

(-8)(-8)

d)

4³

e)

21³

84.

$\sqrt{\frac{64}{25}}=\frac{y}{5}$
What is y?

a)

4

b)

8

85.

$\sqrt{\frac{9}{64}}$

a)

$\pm\frac{8}{3}$

b)

$\pm\frac{81}{8}$

c)

$\pm\frac{3}{8}$

d)

$\pm\frac{3}{7}$

86.

Solve 7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

87.

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.

88.

Solve for x. $\frac{x}{7}-8=16$

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

89.

$5x+4=5x+4$

a)

one solution

b)

no solution

c)

infinite solutions

90.

$3\left(x+4\right)=3\left(x-8\right)$

a)

one solution

b)

no solution

c)

infinite solutions

91.

$4-2x=2x-4$

a)

one solution

b)

no solution

c)

infinite solutions

92.

Find the equation of the line in the graph.

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = 5 + 2x

d)

y = - x + 5

93.

Vertical or horizontal?
x = 4

a)

vertical

b)

horizontal

c)

neither

94.

Vertical or horizontal?
y = -6

a)

vertical

b)

horizontal

c)

neither

95.

Vertical or horizontal?
Slope of 0

a)

vertical

b)

horizontal

c)

neither

96.

Simplify: ∛64 - √81

a)

5

b)

-5

c)

-17

d)

17

97.

Evaluate $\sqrt[3]{8000}$

a)

2

b)

20

c)

200

d)

24

98.

What number, n, cubed is equal to -216?

n³ = -216

a)

-6

b)

6

c)

-7

d)

72

99.

Valencia, Saralyn, and Emily are solving math problems to win a race. They need to determine the approximate value of $\sqrt{47}$ . Saralyn insists the value is closer to 7, while Emily is sure it is closer to 8. Valencia thinks the value is closer to 6. Who do you agree with?