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GED_ MATHEMATICAL REASONING MOOC TEST

Total questions: 23

Worksheet time: 1hrs 9mins

Name
Class
Date
1.

Q1. Multiply.

0.311

X 4.2

a)

0.1866

b)

186.6

c)

13.062

d)

1.3062

2.

Q2. A number line is shown

What is the distance, in units, from 0 to point P on the number line?

a)

-5 1/2

b)

-4 1/2

c)

4 1/2

d)

5 1/2

3.

Q3. Simplify.

52 - 22

a)

3

b)

6

c)

9

d)

21

4.

Q4. The circle graph shows the Steckels’ household budget as percents of the family’s

monthly income.

The Steckel’s decide to spend less on food and on entertainment in order to put more money

into savings. Which graph could represent the Steckel’s new budget?

a)
b)
c)
d)
5.

Q5. Solve the inequality for b.

𝟏𝟎 ≤ −𝟐/𝟑(𝟗 + 𝟏𝟐𝒃)

a)

𝑏 ≤ −2

b)

c. 𝑏 ≤ 4/3

c)

𝑏 ≥ −2

d)

d. 𝑏 ≥ 4/3

6.

Q6. A phrase is shown.

Seven times the sum of a number, n, and four

Which expression represents the phrase?

a)

4 (n+7)

b)

n(4+7)

c)

7n+4

d)

7(n+4)

7.

Q7. A cereal company is Designing contains for a new type of cereal. Each container will be shaped like a rectangular prism or a cylinder and needs to have a volume of 𝟐𝟓𝟖 𝟑/𝟒 cubic inches. In one design being considered for the containers shaped like a rectangular prism, each container will have a height of 11 1/2 inches and length of 𝟕 𝟏/𝟐 inches, What will be the width, in, inches, of the container?

a)

3

b)

14

c)

15

d)

4

8.

Q8. A cereal company is Designing contains for a new type of cereal. Each container will be shaped like a rectangular prism or a cylinder and needs to have a volume of 𝟐𝟓𝟖 𝟑/𝟒 cubic inches.

In one design being considered for the containers shaped like a rectangular prism, each container will have a height of 12 inches . What will be the radius o of the container to the

nearest tenth of an inch?

a)

2.6 in

b)

3.7 in

c)

7.5 in

d)

5.9 in

9.

Q9. Multiply.

(2x + 4) (x - 4)

a)

2 x2 - 4 x – 16

b)

2x2 – 16

c)

2x2

d)

2 x2 +12 x – 16

10.

Q10. Which table of values represents a function?

Which table of values represents a function?

a)
b)
c)
d)
11.

Q11. A house has a large window made of 15 equal-sized pieces of glass, each the same size and shape. There are 3 pieces of glass that are cracked. If a rock thrown by a lawn mower hits the window, what is the probability that the rock hits a piece of glass that is cracked?

a)

1/12

b)

1/4

c)

1/3

d)

1/5

12.

Q12. Factor completely.

3x2 + 7x - 6

a)

(x - 6) (3x +1)

b)

(x + 6) (3x - 1)

c)

(x + 3) (3x -2)

d)

(x - 3) (3x +2)

13.

Q13. The following graph shows the location of a bookstore in a city. Which ordered pair represents the location of bookstore?

a)

(-5, 2)

b)

(2 , 5 )

c)

(-2, 5)

d)

(5 , 2 )

14.

Q 14. The equation Y= 45x, represents the number of miles, y, Mr. Miller’s car can travel using x gallons of gas. Which data display represents a car that gets more miles per gallon than Mr. Miller’s car?

a)
b)
c)
d)
15.

Q 15. Jeremy has a weekend job as a soccer referee. One weekend, he earns $140 by working 4 games. Another weekend, he earns $210 by working 6 games. If Jeremy graphed an equation that would represent his total earnings based on the number of games worked, what would be the slope of the graph?

a)

7

b)

70

c)

35

d)

10

16.

Q16. A pharmacist is filling small empty bottles with cough syrup from a larger bottle. He can solve the inequality

1000-25x>250

to find the number of small bottles, x, that can be filled from the larger bottle and still have 250 milliliters left in the larger bottle. Which statement describes the number of small bottles the pharmacist can fill?

a)

The pharmacist can fill 30 bottles or fewer

b)

The pharmacist can fill 50 bottles or more

c)

The pharmacist can fill 50 bottles or fewer

d)

The pharmacist can fill 30 bottles or more

17.

Q 17. A graph is shown.

Which ordered pair describes a point that should be removed from the graph so that the graph represents a function?

a)

(1, 1)

b)

(7, 4)

c)

(5, 2)

d)

(3, 2)

18.

Q18. Anne owns an art supply store. Anne is analyzing the store’s expenses and income because she wants to increase the store’s profits. The expenses include renting 1,250square

feet of space for $13,750 per month. The store has only one employee, who is paid $8.00 per hour plus 8% commission. Much of the store’s income comes from the sales of blank painting canvases and frames. The table shows the prices of the canvases and frames sold at the store.The store employee works 35 hours per week. Which inequality can be used to find the dollar value , x, of weekly sales that the employee must make to are more than $400 per week?

a)

35 (8) +0.08x < 400

b)

35 (0.08) + 8x >400

c)

35 (0.08) + 8x < 400

d)

35 (8) +0.08x > 400

19.

Q 19. Anne owns an art supply store. Anne is analyzing the store’s expenses and income because she wants to increase the store’s profits. The expenses include renting 1,250square

feet of space for $13,750 per month. The store has only one employee, who is paid $8.00 per hour plus 8% commission. Much of the store’s income comes from the sales of blank painting canvases and frames. The table shows the prices of the canvases and frames sold at the store. Anne buys her store's art supplies from a wholesaler. She purchases 8 canvases that are 16 by 20 inches for $ 7.16 each. How much profit does Anne make on the sale of these 8 canvases?

a)

$35.92

b)

$86.04

c)

$57.28

d)

$45.63

20.

Q 20. Alvin is comparing the costs of music downloads from three websites. Arrange the websites from least expensive price per song to most expensive per song.

a)

Music Mania____Song Central_____Song Factory

b)

Music Mania______Song Factory______Song Central

c)

Song Central______Music Mania_________Song Factory

21.

Q 21 Richard goes to the electronics store. He buys 2 memory cards that cost $8.99 each and 3 packages of batteries that are on sale for $7.47 each. He also buys a case for his cell phone for $2.99 and a wireless headset for $29.99. What is the total cost of Richard’s items, before sales

tax?

a)

73.37

b)

85.65

c)

39.52

d)

68.21

22.

Q 22. The diagram shows a polygon composed of rectangles. What is the perimeter, in feet, of the polygon?.

a)

105

b)

210

c)

192

d)

185

23.

Q 23. Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $10 and each roll of dimes has a value of $5. He exchanges $90 and receives 11 rolls of coins. How many of each type of roll of coins did he receive?

a)

4 rolls of quarters , 7 rolls of dimers

b)

6 rolls of quarters , 5 rolls of dimers

c)

5 rolls of quarters , 6 rolls of dimers

d)

7 rolls of quarters , 4 rolls of dimers