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GED REVIEW FINAL2

Total questions: 100

Worksheet time: 7hrs 45mins

Name
Class
Date
1.

Anika is designing a square garden and wants the area to be 64 square meters. She needs to find the length of one side of the garden. Solve the following equation for s, where s represents the side length of the garden.

4s2−64=04s^2-64=0

(a)   ​ ​

Choose from the below words

8 meters

16 meters

4 meters

10 meters

2.

Zoe is planning a rectangular garden. The length of the garden is 6 meters more than its width. The area of the garden is 8 square meters. What are the possible dimensions of the garden?

a)

Width = 2 meters, Length = 4 meters

b)

Width = -2 meters, Length = -4 meters

c)

Width = -2 meters, Length = 4 meters

d)

Width = 2 meters, Length = -4 meters

3.


Hannah is planning a rectangular swimming pool. The length of the pool is twice the width, and the area of the pool is 16 square meters more than four times the width. Find the dimensions of the pool using the quadratic formula.

2p2−4p−16=02p^2-4p-16=0  

a)

p = 2 or p = -1

b)

p = 1 or p = -2

c)

p = 4 or p = -2

d)

No solution

4.

Ava is planning a rectangular garden and wants the length to be 9 meters more than the width. The area of the garden is 20 square meters. What should be the dimensions of the garden? Solve by factoring: x2 - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

5.

Liam is organizing a charity event and needs to set up tables. Each table can seat 4 people, but he needs to remove 10 chairs to make space for a stage. If he ends up with 42 chairs, how many tables did he originally set up?

a)

x = 0

b)

x = 1

c)

x = -1

d)

no solution

6.

Mason has 65 marbles and he finds some more marbles. Now he has a total of 182 marbles. How many marbles did Mason find?

a)

Mason found 107 marbles

b)

Mason found 117 marbles

c)

Mason found 247 marbles

d)

Mason found 123 marbles

7.

William is organizing a book club and assigns each member a specific book to read. However, some members are assigned more than one book. Is this assignment a function or not a function? 

a)

Function

b)

Not a Function

8.

Maya is tracking the number of books she reads each month. She recorded the following data for the past three months:  (3, 5) (4, 9) (2, 5) . Which ordered pair could she add to this list to ensure each month has a unique number of books read?

a)

(3, 7)

b)

(4, 1) 

c)

(1, 9)

d)

(2, 6)

9.



(a)  

10.



(a)  

11.

Nora is saving money. She starts with $1 and saves $2 every day.

How much more money does she have after 3 days compared to after 1 day?

(a)  

12.

Michael is saving money. If he has saved a total of $7, how many weeks has he been saving if he saves $3 per week plus an additional $1 from his allowance each week?

(a)  

13.

Oliver is saving money and has a formula to calculate his savings: 5x−1=f(x)5x-1=f\left(x\right)  

If his savings, f(x), amount to $19, what is the value of x?

(a)  

14.

Jackson is filling a swimming pool with water. Every minute, the water level rises by a constant amount. What is the rate of change in the water level per minute?

a)

1/2

b)

2

c)

7

d)

3

15.

David is tracking his savings over several months. He records the amount saved at the end of each month in a table. What is the slope of the savings over time?

a)

2

b)

1/2

c)

1

d)

1.5

16.

Liam is building a ramp for his skateboard. The ramp starts at a height of 1 meter and reaches the ground 3 meters away horizontally. Find the slope of the ramp.

a)

-1/3

b)

-1/2

c)

-2

d)

-1

17.

Kai is riding his bike up a hill. The hill has a straight path that forms a line on a graph. Find the slope of the hill.

a)

1/4

b)

4

c)

-1/4

d)

-4

18.

Emma is walking from her home to the park. She starts at a point (-3, -4) and reaches the park at point (7, 6). Find the rate of change of her path.

a)

0

b)

Undefined

c)

-1

d)

1

19.

Anika is driving from her home to a nearby town. She notes that she is 7 miles away from her home after 6 minutes and 2 miles away after 4 minutes. Find the rate of change of her distance from home over time.

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

20.

Evelyn is drawing different paths on a map for a treasure hunt. She wants to ensure each path is unique and can be followed without confusion. Which path does NOT pass the vertical line test? A vertical line should only touch one point at a time, if it is a function.

a)

Path 1

b)

Path 2

c)

Path 3

d)

Path 4

21.
a)
This is a Function
b)
This is Not a Function
22.

Olivia is plotting points on a graph to represent a function. Does her graph pass the vertical line test?

a)

Yes, because the vertical line test shows there are no repeating input values

b)

No, because the vertical line test shows there are repeating input values that have different outputs.

c)

No, because there are not enough dots to tell

d)

Yes because the dots are all red

23.

Abigail is organizing a movie club and has a list of members and the number of movies they have watched: (4, 13), (1, 12), (6, 9)


Is this relation a function?

a)

Yes

b)

No

24.
a)
Function
b)
Not a Function
25.

Abigail is tracking the height of a ball thrown into the air over time. Is the graph of the ball's height a function or not a function? 

a)

Function

b)

Not a Function

26.

Abigail is looking at a graph that shows the relationship between the number of hours she practices piano and her performance scores. Is this graph a function or not a function? 

a)

Function

b)

Not a Function

27.

Priya is tracking the path of a robot on a grid. She plots the robot's path on a graph. Is the path a function or not a function? 

a)

Function 

b)

Not a Function 

28.

Isabela collected

1  231\ \ \frac{2}{3}   pounds of candy during a community event. Her sister collected  2 452\ \frac{4}{5}   pounds. How much more did her sister collect? 



(a)  

29.

Elijah had 3 and 1/4 cups of milk. He used 1 and 3/4 cups of the milk to bake a cake. How many cups of milk does Elijah have left?
What operation do you use to solve this problem?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

30.
Solve this problem:
A recipe for muffins calls for 3/4 cup of flour. Carlito is making 6 batches of muffins. How much flour does he need?
a)
6 and 3/4
b)
5 and 1/4
c)
4 and 1/2
d)
8
31.

Two-thirds of the students in Henry's class are wearing blue jeans. Two-sixths of the students who are wearing blue jeans are also wearing red shirts. What fraction of the students in Henry's class are wearing blue jeans and red shirts?
What operation do you use to solve this problem?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

32.

Ava is organizing a game at a school fair. She has a bag with 6 red marbles, 5 green marbles, and 4 yellow marbles. If a participant picks 2 marbles one after the other without replacement, then what is the probability that both are red in color? (a)  

Choose from the below words

1/15

2/15

1/5

1/10

33.

Elijah has a bag of M & M's with the following colors. What is the probability that he picks a blue one?
5 green
6 yellow
8 blue
7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

34.

Liam is at a carnival and is playing a game that requires him to roll a die to win a prize. Find the probability of Liam not rolling a 2 on a single die.

a)

1/6

b)

2/6

c)

5/6

d)

2

35.

A fruit basket contains 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears?

a)

9/49

b)

4/125

c)

1/10

d)

1/30

36.

Evelyn has a jar containing 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. She picks a marble at random from the jar and replaces it. Then she picks a second marble at random. Find the probability of the first marble being green and the second marble being yellow. 

a)

4/121

b)

8/121

c)

3/121

d)

6/121

37.

In the student council election, how many more votes did Mark and Thomas receive than James?

a)

15

b)

2

c)

65

d)

22

38.

Scarlett made the dot plot above to chart the amount of time, in minutes, that it took students to eat breakfast in the morning. How many students took 5 or more minutes to eat their breakfast?

a)

11

b)

12

c)

14

d)

16

39.

Abigail recorded the number of books she read each month for six months:
5, 11, 2, 12, 4, 2. Find the mean number of books she read per month.

a)

4.1

b)

6

c)

4.5

d)

4

40.

In a class, Olivia, Mia, and William conducted a survey to measure the heights of their classmates. What percent of the students have a height between 58 inches and 60 inches?

a)

25%

b)

50%

c)

75%

d)

100%

41.

Jackson, Ethan, and Benjamin measured their heights. What is the maximum height in inches?

a)

58

b)

66

c)

64

d)

60

42.

Rohan, Nora, and Grace are analyzing their weekly exercise durations in minutes. They recorded the following data for the week: 
17, 36, 45, 98, 25, 34, 19, 45, 36. Find the measures of center for their exercise durations.

a)

mean: 41,  median: 36,  modes: 45 and 36,  outlier: none

b)

mean: 41,  median: 36,  modes: 45 and 36,  outlier: 98 and 19

c)

mean: 39.4,  median: 36,  modes: 45 and 36,  outlier: 98

d)

mean: 39.4,  median: 36,  mode: 45,  outlier: 98

43.

Noah is tracking his savings over time. He notices that the amount of money he has saved can be represented by the equation:  y=-4x-5, where y is the total savings and x is the number of weeks. What is the y-intercept in this equation?

a)

-4

b)

-4x

c)

5

d)

-5

44.
If m = 3 and b = 6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
45.

Aria is walking along a path that goes straight up a hill. What direction is the path if it has an undefined slope?

a)

horizontal

b)

vertical

46.

Lily is planning to paint a wall and she knows that the cost of paint is determined by the equation y=mx+b, where y is the total cost, m is the cost per square foot, x is the number of square feet, and b is the base cost for supplies. What does "m" represent in this equation?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

47.

Aria and Jackson are planning a garden and want to create a path that follows a straight line. The path is represented by the equation of a line. Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

48.

Emma is planning a garden and wants to create a path that follows a straight line. The path's slope is -3/2, and it starts at a point 4 meters above the ground level. Write the equation of the line that represents the path.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

49.

Mason is planning a road trip and is calculating his expenses. In the equation y = mx + b, which represents his total cost, what does 'b' represent?

a)

y-intercept

b)

beans

c)

x-intercept

d)

slope

50.

Jackson is designing a new slide for a playground. The equation of the slide's incline is given by y = mx + b. What does "m" represent in this equation?

a)

y-intercept

b)

slope

c)

macaroni

d)

x-intercept

51.

Nora and Isla are planning a trip. They need to find the intersection point of two paths on a map. What is the solution? 

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

52.

Scarlett and Henry are planning a road trip and need to find the intersection point of two highways represented by lines on a map. How many solutions does the map have?

a)

One solution

b)

No solution

c)

Infinite solutions

53.

Aria and Anika are comparing their savings. Aria's savings can be represented by the equation y = 4x - 10, where x is the number of weeks she saves a fixed amount. Anika's savings follow the equation y = 3x - 5. What is the first step to find out after how many weeks their savings will be equal?

a)

y = 4(3y - 5) - 10

b)

y = 3(4x - 10) - 5

c)

4x - 10 = 3x - 5

d)

y = y

54.

Aria is planning a small garden and wants to create a linear path that follows the equation:
y = -1x - 5
She also wants to ensure that the path aligns with the boundary given by the equation 4x - 8y = 4. Which of the following points represents the intersection of the path and the boundary?

a)

(-3, -2)

b)

(5, -7)

c)

(3, 9)

d)

(-5, 4)

55.
A perimeter of a rectangle if 36 meters.  The width is 4 meters.  What would the length be?
a)
18 m
b)
 14m
c)
9 m
d)
28m
56.

Find the perimeter

a)

25cm

b)

35cm

c)

50cm

d)

100cm

57.
Find the area
a)
126m
b)
120m2
c)
126m2
d)
200m2
58.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
59.
what is the volume?
a)
72
b)
27
c)
1.5
d)
272
60.
Mrs. Davis wanted to cover the classroom with new carpet. If the length of the classroom was 12 feet and the width was 8 feet. How much carpet would she need to buy?
a)
20 feet
b)
40 ft
c)
96 square feet
d)
40 square feet
61.

Julia wants to see how many gallons of water will fill her pool. The pool is 15 feet long, 8 feet wide, and 6 feet deep. How many gallons of water will she need to fill the pool?

a)

720 feet3

b)

63 feet3

c)

29 feet3

d)

48 feet3

62.
What is the volume of the rectangular prism when it is fully packed if there are no gaps or overlaps in the unit cubes?
a)
15 cubic inches
b)
60 cubic inches
c)
30 cubic inches
d)
10 cubic inches
63.
Ms. Mendoza placed border around a square bulletin board in her classroom. The length one side of the board is 12 feet. How many feet of border did Ms. Mendoza put around the board? 
a)
144 feet
b)
48 feet
c)
24 feet
d)
164 feet
64.

Emily needs to make party hats in the shape of a cone. She wants the hat to have a radius of 6 inches and a height of 15 inches. What is the volume of the party hat?

a)

565.2

b)

94.2

c)

2260.8

d)

188.4

65.

Determine the volume of the cone.

a)

125.6

b)

3768

c)

942

d)

251.2

66.

Find the volume of the cylinder.

a)

678.24

b)

1526.04

c)

339.12

d)

2034.72

67.

Determine the volume of the sphere.

a)

310181.76

b)

38772.72

c)

1846.32

d)

7385.28

68.

Determine the volume of the hemisphere.

a)

3052.08

b)

339.12

c)

1526.04

d)

127.17

69.

A jar of jam has a diameter of 6 cm and a height of 8 cm. If the jar is half full, then what is the volume of the jam in the jar?

a)

452.16

b)

904.32

c)

226.08

d)

113.04

70.

What is the measurement of the missing side length?

a)

13

b)

15

c)

16

d)

12

71.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
72.

Maura drew a square. Each side measures 6 cm. What is the area of the square?

a)

24 cm2

b)

36 cm2

c)

42 cm2

d)

48 scm2

73.
To calculate the amount of carpeting needed for your bedroom, which of the following should you find: 
a)
Area
b)
Perimeter
c)
Surface Area
d)
Volume
74.
Find the volume of the cylinder.
a)
4239
b)
1696
c)
1130
d)
565
75.

Find the volume of the sphere.

a)

267.95 m3

b)

682.67 m3

c)

2143.57 m3

d)

714.52 m3

76.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
77.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
78.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
79.

(4x3-5x2+3x)+(-2x3-x2+6x)

a)

2x3-6x2-9x

b)

2x3+6x2+9x

c)

-2x3-6x2+9x

d)

2x3-6x2+9x

e)

None of these

80.

Add the polynomial (-3x + 4) + (8x - 5)

a)

5x - 9

b)

5x - 1

c)

11x - 1

d)

11x - 9

e)

None of these

81.

(4x3-5x2+3x)+(-2x3-x2+6x)

a)

2x3-6x2-9x

b)

2x3+6x2+9x

c)

-2x3-6x2+9x

d)

2x3-6x2+9x

e)

None of these

82.

Which expression is equivalent to (32x−4)(14x+6)\left(\frac{3}{2}x-4\right)\left(\frac{1}{4}x+6\right) ?

a)

38x2+10x−24\frac{3}{8}x^2+10x-24

b)

38x2+8x−24\frac{3}{8}x^2+8x-24

c)

38x2+8x−2\frac{3}{8}x^2+8x-2

d)

3x2+8x−103x^2+8x-10

83.

Which expression is equivalent to 6x2−13x−56x^2-13x-5 ?

a)

(2x−1)(3x+5)\left(2x-1\right)\left(3x+5\right)

b)

(2x+1)(3x−5)\left(2x+1\right)\left(3x-5\right)

c)

(2x+5)(3x−1)\left(2x+5\right)\left(3x-1\right)

d)

(2x−5)(3x+1)\left(2x-5\right)\left(3x+1\right)

84.
Factor the polynomial. 
x2-4x-32
a)
(x-8)(x+4)
b)
(x-4)(x-32)
c)
(x+3)(x-4)
d)
x+2)(x+5)
85.
Factor
x2 - 13x + 36
a)
A
(x + 9)(x + 4)
b)
B
(x - 9)(x - 4)
c)
C
(x + 9)(x - 4)
d)
D
(x - 9)(x + 4)
86.

Which polynomial is equivalent to this expression if n≠−1n\ne-1 ?

3+n−2n21+n\frac{3+n-2n^2}{1+n}

a)

2n−32n-3

b)

3−2n3-2n

c)

3−2n23-2n^2

d)

4−2n24-2n^2

87.

Which of the following is equivalent to a12b2a3b6\frac{a^{12}b^2}{a^3b^6} ?

a)

a9b4\frac{a^9}{b^4}

b)

b4a9\frac{b^4}{a^9}

c)

a4b3\frac{a^4}{b^3}

d)

a9b4a^9b^4

88.
The base of a triangle is 6x+4 and the height is 3x+2. What is the area of the triangle?
*Hint: Area = (base x height)/2
a)
9x2  + 12x + 4
b)
9x2  + 4
c)
18x2  + 8
d)
18x2  + 24x + 8
89.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
90.

Simplify.

(2x3y)6

a)

2x18y6

b)

64x18y6

c)

64x3y6

d)

2x3y6

91.

Best to use Long Division...

a)

4x - 2

b)

4x + 2

c)

4x - 2 + (1/3x - 1)

d)

4x + 2 + (1/3x - 1)

92.

20x25x\frac{20x^2}{5x}  

a)

15x15x  

b)

4x4x  

c)

15x215x^2  

d)

25x25x  

93.
| -5 | =
a)
-5
b)
5
94.
Order from least to greatest:
18, -45, -32, 9, -6
a)
6, 9, 18, 32, 45
b)
-6, 9, 18, -32, -45
c)
-45, -32, -6, 9, 18
d)
18, 9, -6, -32, -45
95.
Order the following absolute values from least to greatest:
|18|, |6|, |-45|, |-32|, |18|
a)
6, 9, 18, 32, 45
b)
-6, 9, 18, -32, -45
c)
-45, -32, -6, 9, 18
d)
18, 9, -6, -32, -45
96.

Find the absolute value of  ∣−32∣\left|-\frac{3}{2}\right|  

a)

−32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

∣32∣\left|\frac{3}{2}\right|  

97.

Solve the absolute value.

|37|

a)

-37

b)

37

98.
What type of relationship does this graph have?
a)
Positive 
b)
Negative
c)
No Relationship
d)
Constant
99.
What is the type of association?
a)
Negative 
b)
no association
c)
positive 
100.

The scatterplot shows the results of study comparing the length of a person's foot to the width.


How can you describe the correlation of the within the context of the situation?

a)

There is no correlation.

b)

As the length of a person's foot increases, the width increases.

c)

As the length of the person's foot increases, the width decreases.

d)

The tall a person is, the bigger their shoe size will be.

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