Free Printable Ultimate GED Prep

1.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

2.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

3.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

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

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

4.

Evaluate f(x) = x² for f(-8)

a)

64

b)

-64

c)

-16

d)

16

5.

Evaluate f(x)=-2t²+ 1 for f(2)

a)

9

b)

17

c)

-17

d)

-7

6.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

7.

Solve:- $x+3\ =\ 15$

a)

5

b)

18

c)

12

d)

45

8.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

9.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

10.

What is the slope of the line with the equation y = 4x - 7?

a)

4

b)

-7

c)

-3

d)

x

11.

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)

12.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

13.

What is the y-intercept of the equation?
-x + 5y = 45

a)

y = 9 or (0, 9)

b)

y = 5 or (0, 5)

c)

y = -9 or (0, -9)

d)

None of these.

14.

2n⁴ * 6n⁴

a)

8n⁴

b)

12n⁸

c)

8n¹⁶

d)

none of the above

15.

a)

Function

b)

Not a Function

16.

Is this table a function or not a function?

a)

Function

b)

Not a Function

17.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

18.

$\sqrt{3}$ × $\sqrt{15}$ =

a)

3 $\sqrt{5}$

b)

5 $\sqrt{3}$

c)

2 $\sqrt{7}$

d)

$\sqrt{17}$

19.

$10\sqrt{45}-\sqrt{20}$

a)

$32\sqrt{5}$

b)

$88\sqrt{5}$

c)

$28\sqrt{5}$

20.

Gretchen spends 1/2 an hour grooming Hobo and 1/3 of an hour riding Hobo. How much time did she spend with Hobo?

a)

⅖ hours

b)

⅚ hours

c)

⅔ hours

d)

⅜ hours

21.

(- 12) - (- 4) =

a)

-16

b)

-8

c)

- 3

d)

8

22.

-6 x (-12)

a)

-72

b)

72

c)

2

d)

-2

23.

Multiply. Write fractions in simplest form.

$2\frac{2}{3}\times\left(-4\frac{1}{4}\right)$

a)

$-11\frac{1}{3}$

b)

$\frac{34}{3}$

c)

$-8\frac{3}{12}$

d)

$-8\frac{1}{4}$

24.

$8\frac{4}{7}+\left(-5\frac{3}{7}\right)$

a)

$3\frac{1}{7}$

b)

$13\frac{1}{7}$

c)

$-3\frac{1}{7}$

d)

$-13\frac{7}{7}$

25.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

26.

Simplify.

a)

(x+6)/(x+4)

b)

(x+6)(x+4)

c)

(x+6)

d)

(x+6)/(x-5)

27.

Simplify.

a)

2p

b)

p/2

c)

2/p

d)

4p

28.

$2\frac{4}{5}+3\frac{3}{4}\div-2\frac{1}{2}$

(a)

29.

29 out of 50 is what percent ?

a)

58%

b)

75%

c)

68%

d)

96%

30.

Simplify the ratio of
35 : 14

a)

5 : 2

b)

2 : 5

c)

3 : 1

d)

35: 14

31.

In a class of 30 students, 14 rode the bus to school. What is the ratio of students who rode the bus to students who used other types of transportation to get to school?

a)

8:15

b)

8:7

c)

7:15

d)

7:8

32.

Peter paid $79.80 for renting a bike for 6 hours. What was the rate per hour for renting the bike?

a)

$79.80

b)

$6.00

c)

$13.30

d)

$13.31

33.

Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon?

a)

31 mpg

b)

17 mpg

c)

51 mpg

d)

15 mpg

34.

7 8 10 8 15 13 7 6 7 4

You collect several bags of candy that suspiciously taste like rainbows. You count and record the number of purple candies in each bag. The results are shown above. What is the mode of this data set?

35.

Find the mean of this set of numbers:
7, 6, 19, 12, 16, 19, 19, 6

a)

14

b)

19

c)

13

d)

6

36.

Find the median of this set of numbers:
7, 6, 19, 12, 16, 19, 19, 6

a)

16

b)

14

c)

15

d)

6

37.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

38.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

39.

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

40.

a)

The top of the ladder is 8.9 ft from the ground

b)

The top of the ladder is 9.2 ft from the ground

c)

The top of the ladder is 16.5 ft from the ground

d)

The top o the ladder is 14.4 ft from the ground

41.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

42.

-8x²+26x

a)

2 (-4x + 13)

b)

2 (-4x - 13)

c)

-2x (-4x +13)

d)

2x (-4x + 13)

43.

60x²y - 3xy

a)

3xy (20x - 1)

b)

3x²y (20x -1)

c)

3xy (20x +1)

d)

-3xy (20x - 1)

44.

What is the factored form of x²+16x+15

a)

(x+1)(x+15)

b)

(x+3)(x+5)

c)

(x-3)(x-5)

d)

(x-1)(x+15)

45.

x²+4x-32=0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

46.

x²=18x-81

a)

x= -9, -9

b)

x= 9, 9

c)

x= -9, 9

47.

3x²+9x-30=0

a)

x= 2, -5

b)

x= 5, -2

c)

x= -5, -2

48.

6x²-x-2=0

a)

x= -2/3, 1/2

b)

x= 2/3, -1/2

c)

x= -2/3, -1/2

49.

Solve using the Zero-Product Property.

(x + 4)(x − 3) = 0

a)

x = 4 and x = −3

b)

x = 2 and x = 1

c)

x = −4 and x = 3

d)

x = −2 and x = 1

50.

What is the value of the expression
x² + y² + x - y
when x = -1 and y = 3

a)

6

b)

8

c)

12

d)

16

51.

evaluate bc + 5a
when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

52.

a²-b²Evaluate if a=4 and b =-2

a)

4

b)

20

c)

-4

d)

12

53.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

54.

Find the slope.

a)

-2

b)

2

c)

¹/₂

d)

-¹/₂

55.

Find the slope.

a)

²/₅

b)

^-2/₅

c)

⁵/₂

d)

^-5/₂

56.

Find the rate of change.

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

57.

7 + (6 × 5² + 3)

a)

70

b)

175

c)

146

d)

160

58.

2⁴- 24 ÷ 3 + 1

a)

-12

b)

9

c)

4

d)

1

59.

12 ÷ 2 x 3 + ( 4³ - 12 ) =

(a)

60.

30% of what number is 24?

(a)

61.

15% of what number is 66?

(a)

62.

20% of what number is 15?

a)

3

b)

75

c)

30

d)

65

63.

What percent of 29 is 3?

a)

10.3%

b)

20.7%

c)

30.9%

d)

41.2%

64.

What percent of 55 is 34?

a)

10.3%

b)

61.8%

c)

30.9%

d)

41.2%

65.

Ava has a super cool coupon that gives her 25% off her entire meal, which costs $17.89. Can you figure out how much she saves with this awesome discount?

a)

$13.42

b)

$4.47

c)

$4.48

d)

$0.44

66.

Isla had a fantastic shopping spree and spent $210 on school supplies and books. Can you believe this was just 30% of her total savings? How much did Isla save up in total?

a)

$700

b)

$63

c)

$630

d)

$763

67.

What is the total number of outcomes for picking a cat or dog and choosing the colors black, brown or spotted?

a)

2

b)

4

c)

6

d)

8

68.

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

2/20

d)

1/10

69.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

5/49

c)

5/7

d)

10/49

70.

The following M & M colors are in the bowl:

4 yellow, 6 orange, 3 green, 5 blue, 2 brown

What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

1/10

71.

Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?

a)

120

b)

6

c)

18

d)

20

72.

Kimberly has seven colors of lanyards. She uses three different colors to make a key chain. How many different combinations can she choose?

a)

210

b)

5.040

c)

6

d)

35

73.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

74.

Find the Surface Area of the cylinder. Leave your answer in terms of pi.

a)

$960\pi$ cm2

b)

$368\pi$ cm2

c)

$184\pi$ cm2

d)

$248\pi$ cm2

75.

Julie uses a tent like the one shown to go camping with friends. The tent is 7 feet tall, 10 feet wide and 12 feet long. Calculate the volume.

a)

840 cubic feet

b)

84 cubic feet

c)

420 cubic feet

d)

120 cubic feet

76.

Soda is sold in aluminum cans that measure 4.83 in high and have a diameter of 2.6 cm. Find the volume of the soda can. Leave your answer in terms of pi.

a)

$8.1627\pi$ in 3

b)

$8.276\pi$ in 3

c)

$6.28\pi$ in 3

d)

$30.33\pi$ in 3

77.

Given a cone with the height of 10cm and the base radius of 9cm. Find the volume of this cone?

a)

$33\pi$

b)

$270\pi$

c)

$810\pi$

d)

$22\pi$

78.

Find the volume of the prism.

a)

585 cm²

b)

585 cm³

c)

27 cm³

d)

27 cm²

79.

Find the volume of the pyramid.

a)

480 in³

b)

160 in³

c)

1.60 in³

d)

4.8 in³

80.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

81.

What type of association does this scatter plot represent?

a)

positive linear association

b)

negative linear association

c)

no association

d)

nonlinear association

82.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 12 absences should get approximately what score on the final exam?

a)

60

b)

92

c)

70

d)

76

83.

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.

a)

12 and 24

b)

31 and 43

c)

24 and 36

d)

51 and 63

84.

There are 10 less trumpet players than saxophone players. The number of saxophone players is 3 times the number of trumpet players. How many trumpet players are there?

a)

15 trumpet players

b)

10 trumpet players

c)

5 trumpet players

d)

20 trumpet players

85.

You've borrowed $1,750 from Drulian a couple weeks ago. You were able to pay him back $500 today, but you need 5 months to pay the rest back. How much money will you need to give him each month?

Select the equation that best represents this situation.

a)

500 + 5m = 1750

b)

1750 + 5m = 500

c)

500 + m = 1750

d)

500 - 1750 = 5m

86.

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

a)

3 hours

b)

4 hours

c)

1 hour

d)

2 hours

87.

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

a)

y = 150 + 40

b)

y = 40x + 150

c)

y = 150x + 40

88.

Two lines that are parallel will have ...

a)

Slopes that are opposite reciprocals

b)

No slope

c)

Slopes that are the same

d)

Slopes that don't match

89.

Two lines that are perpendicular lines have ...

a)

Slopes that are negative reciprocals

b)

No Slope

c)

Slopes that are the same

d)

Slopes that switch the numbers

90.

What is the slope of a line parallel to the line

y=-5x-17

a)

$\frac{1}{5}$

b)

-5

c)

$-\frac{1}{5}$

d)

5

91.

What is the slope of a line perpendicular to:

y=13x-2

?

a)

$\frac{1}{13}$

b)

$-\frac{1}{13}$

c)

13

d)

-13

92.

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

93.

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

94.

Find the area of a parallelogram with a base of 30 m and a height of 25 m.

a)

750 m²

b)

375 m²

c)

705 m²

d)

110 m²

95.

What is the area of this shape?

a)

56

b)

50

c)

78

d)

I have no idea how to do this. I need to come to tutoring.

96.

Find the area of the trapezoid.

a)

36 m

b)

36 m²

c)

72 m

d)

72 m²

97.

^{What is the area?}

a)

20 ft²

b)

20 yards

c)

40 ft²

d)

40 yards

98.

What is the perimeter of this figure?

a)

20 cm

b)

34 cm

c)

30 cm

d)

19 cm

99.

What is the perimeter of the figure?

a)

34 m

b)

37 m

c)

35 m

d)

36 m

100.

Find the perimeter of the figure. $Use\ 3.14\ =\ \pi$

a)

20.56 in.

b)

17.3 in.

c)

17.8 in.

d)

31.88 in.

101.

What is the circle's circumference?

___ meters

102.

Find the Greatest Common Factor (GCF) of 14 & 22.

a)

1

b)

2

c)

7

d)

14

103.

What is the LCM of 16 and 24?

a)

24

b)

48

c)

8

104.

A prime number

a)

has one factor

b)

has more than 2 factors

c)

has 100 factors

d)

has exactly 2 factors: 1 and the number

105.

If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?

a)

2⋅3⋅5⋅7

b)

2³⋅3²⋅5⋅7

c)

2²⋅3²⋅5⋅7

d)

8⋅9⋅35

106.

What is the greatest common factor of 28y²and 49y²?

a)

7y

b)

21y²

c)

196y²

d)

7y²

107.

4x+8y=20
-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

108.

-6x+5y=1
6x+4y=-10

a)

(1,1)

b)

(-1,-1)

Ultimate GED Prep

Total questions: 108

Worksheet time: 9hrs 12mins

Similar Resources on Wayground