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GED ® Prep Live: Math Test Pre-Assessment

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Page 1: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

GED®

Prep Live:

Math Test Pre-Assessment

Page 2: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A.

B.

C.

D.

Session 1, Question 1

1. Simplify the expression completely. Leave your answer in radical form.

15 12

15 12 15 12

3 5 3 2 2

2 23 5 2

2 23 5 2

3 2 5

6 5

6 5

3 5

2 5

5

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A.

B.

C. 16

D. 32

Session 1, Question 2

2. Which number, when placed in the box, will make the equation true?

2

64

8

32

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A. 5

B. 8

C. 10

D. 13

Session 1, Question 3

3. Alice, Kathy, and Sheila work as medical assistants at Valley Clinic. Alice has worked 8 years longer

than Kathy. Kathy has worked half as long as Sheila. If Sheila has worked at the company for 10

years, how many years has Alice worked there?

Page 5: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. $572.18 + c = $434.68

B. $572.18 − c = $434.68

C. $572.18c = $434.68

D.

Session 1, Question 4

4. Mike had $572.18 in his checking account. After writing a check, he had $434.68. Which of the

following equations could be used to find the amount of the check, c?

$572.18

$434.68c

Page 6: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

Session 1, Question 55. Angela likes to use two walking sticks when she goes hiking, but the two walking sticks she has

been given recently are different lengths. One is feet long, and the other is feet long. Angela

wants to cut the longer stick to match the shorter one. How much should she cut from the longer stick

so that the two walking sticks will be the same length?

13

2

43

5

A. feet

B. feet

C. feet

D. feet

3

4

3

5

3

10

1

4

Page 7: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. $4,500

B. $5,500

C. $9,500

D. $12,000

Session 1, Question 6

6. Jim is a salesperson, and his employers expect him to sell at least $12,000 in merchandise per

month. In April, Jim sold $2,500 in the first week of the month and twice that much in the second week.

How much must he sell in the rest of April combined in order to sell the minimum expected of him?

Page 8: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. 4.54 × 107

B. 4.54 × 109

C. 4.54 × 1010

D. 2 (127 × 107)

Session 1, Question 7

7. Scientists estimate that Earth is 4,540,000,000 years old. What is that number expressed in

scientific notation?

Page 9: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. p = $5.00 – (n – 1) $0.50

B. p = $5.00 – n ($0.50)

C. p = (n – 1) $5.00

D. p = $0.50 (10n)

Session 1, Question 8

8. The XYZ Company sells hats and will monogram them if customers choose. The price for each

monogram varies depending on how many hats a customer would like to have monogrammed. The

monogram prices for several order sizes are shown below. Which of the following best expresses the

relationship of price per monogram (for all nonnegative values of p) to number of hats monogrammed

shown in the table below?

price per monogram: one hat = $5 each

two hats = $4.50 each

three hats = $4.00 each

save (subtract) $0.50 per hat for each hat after the first one

$0.50 (n – 1)

price per monogram = $5.00 – $0.50 (n – 1)

Page 10: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. 27 < 6s

B. 6 (s – 27)

C. 6s – 27

D. 6s < 27

Session 1, Question 9

9. There are s steps from the pedestal to the head of the Statue of Liberty. The number of steps in the

Washington Monument is 27 less than 6 times the number of steps in the Statue of Liberty. Which

expression represents the number of steps in the Washington Monument in terms of s?

Start by translating from English to math:

s = steps from pedestal to head

27 less than = – 27

6 times the number of steps in the Statue of Liberty = 6s

Washington Monument = 6s – 27

Page 11: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. 6.75

B. 9.25

C. 10.00

D. 11.75

Session 1, Question 10

10. A jar holds 16 ounces of honey. A cook is going to make two recipes. One of the recipes calls for

2.5 ounces of honey, and the other calls for 4.25 ounces of honey. After the cook has made those two

recipes, how many ounces of honey will be left in the jar?

Page 12: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. 8.0 × 10–6

B. 1.25 × 10–3

C. 8.0 × 102

D. 1.25 × 105

Session 1, Question 11

11. Cilia are very thin, hair-like projections from cells. They are 2.0 × 10–4 millimeters wide. What is the

maximum number of cilia that would fit side by side—without overlapping—across a microscope slide

that is 25 millimeters wide? Write the answer in scientific notation.

Determine the correct operation to use: division

Use your calculator or divide manually:

1

4 4

25 2.5 10

2.0 10 2.0 10

1 ( 4 )2.5( ) 102.0

51.25 10

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Session 2, Question 1

1. For a 10-day period, a bank kept track of the number of new accounts opened each day. The

results are shown in the table below. What is the median number of accounts opened per day

during this 10-day period?

A. 5

B. 5.3

C. 5.5

D. 6

Median is the middle number when the terms are arranged in order!

2, 4, 4, 5, 6, 6, 7, 7, 8

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A. $49.44

B. $54.44

C. $73.37

D. $189.70

Session 2, Question 2

2. 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?

8.99 (2) + 3 (7.47) + 2.99 + 2.99 = 17.98 + 22.41 + 2.99 + 29.99

= 73.37

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A. None of Marjorie’s students received an F on the

exam.

B. Most of Marjorie’s students received either an A or a B

on the exam.

C. If Marjorie gave the same exam again to another group

of students, most of those students would receive a C.

D. More students received either an A or a B than

received either a D or an F.

Session 2, Question 3

3. Marjorie has a class of 35 students, and she tracked their performance on a recent math exam.

The graph below represents how their scores were distributed along the range of possible scores,

from F to A. Based on the graph, which of the following is a true statement?

3 STUDENTS NO!

A or B: 6 + 7 C, D, F: 12 + 7 + 3

A or B: 6 + 7

C or D: 7 + 3

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A. 4

B. 36

C. 160

D. 360

Session 2, Question 4

4. Fifteen percent of the workers at Nationwide Industries earn minimum wage. If 24 workers earn

minimum wage, how many total workers are there at Nationwide Industries?

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A. 2

B. 3

C. 4

D. 6

Session 2, Question 5

5. Janelle has recently been hired for the job of library assistant. The following graph shows what

percent of her time will be spent on each of five tasks each day. The number of hours that Janelle will

spend working at the counter is about how many times the number of hours that she will spend

processing new books and repairing bindings?

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A.

B.

C.

D.

Session 2, Question 6

6. The spinner shown in the drawing is divided into eight equal sections. If you spin the spinner one

time, what is the probability of NOT getting blue?

1

8

1

4

3

4

7

8

Prob. of NOT blue = 1 – prob. of blue

Page 19: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. 0;

B. 0; 8

C. ; 0

D. ; 8

Session 2, Question 7

7. The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the

ibuprofen was taken. The level of ibuprofen in the patient’s bloodstream increased only from ____

to ____ hours.

2

3

2

3

2

3

The level increased over interval(s)

where there is a positive slope

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A. 25%

B. 33%

C. 75%

D. 80%

Session 2, Question 8

8. A computer monitor is regularly priced at $320. During a two-day sale, the price was decreased to

$240. Which of the following is the percentage decrease of the monitor’s price during the sale?

The question asks for the percentage decrease, not the

percent change, so the answer is 25%.

Page 21: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. $2.43

B. $3.61

C. $4.12

D. $5.77

Session 2, Question 9

9. A painter rented a wallpaper steamer at 9 a.m. and returned it at 4 p.m. He paid a total of $28.84.

What was the rental cost per hour?

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Session 2, Question 10

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Session 2, Question 10

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Session 2, Question 10

From 5:30 to 5:59 p.m.: 2% - eliminate answer choices

A, B, and C

Answer choice (D) is correct!

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A.

B.

C.

D.

Session 3, Question 1

1. A fountain’s pool is enclosed by a circular plastic tank. The distance from the center of the pool to

the wall of the tank is 10 feet. How long is the wall of the tank in feet?

20

20

25

100

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A. $16

B. $20

C. $28

D. $40

Session 3, Question 2

2. Susan and Jim each own a lawn-care business. The amount Susan charges for lawn care by the

hour is shown in the table. The amount Jim charges for lawn care by the hour is shown in the graph.

What is the difference between Susan’s and Jim’s lawn-care businesses in the amounts they charge

for 10 hours of work?

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A. 48π

B. 96π

C. 192π

D. 768π

Session 3, Question 3

3. Beansey’s Baked Beans, Inc., has developed a new can for its baked beans, shown below. What is

the volume of the new can, in cubic centimeters?

Page 28: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. 290

B. 2,100

C. 2,800

D. 4,100

Session 3, Question 4

4. Tina is considering renting a commercial space for her business. The space is shown below. What

is the area of the commercial space, in square feet?

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Session 3, Question 5

C.

D.

(–5, 1) is an (x, y) coordinate

The x-coordinate indicates horizontal position

–5 means 5 units to the left

Eliminate answer choices B, C, and D

The y-coordinate indicates vertical position

+1 means 1 unit up

This matches answer choice (A)

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A.

B.

C.

D.

Session 3, Question 6

6. Line H is the graph of which of the following equations?

1

23

y x

2

23

y x

2

23

y x

3( 2) 2y x

The y-intercept is + 2

Pick two points to calculate slope

(0, 2) and (–3, 0)

y = mx + b

y = x + 2

2 0 2

0 ( 3) 3m

2

3

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A. –2

B.

C.

D. 2

Session 3, Question 7

7. Line W passes through the following points on the coordinate grid: (0, –9) and (4, –1). What is the

slope of line W?

1

2

1

2

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A. (2, –5)

B. (0, 3)

C. (0, 9)

D. (2, 5)

Session 3, Question 8

8. What is the solution to the system of equations 3x − 3y = −9 and 2x + y = 9?

Page 33: GED Prep Live: Math Test Pre-Assessment - Amazon S3Math... · 2017-04-19 · A. p = $5.00 –(n –1) $0.50 B. p = $5.00 –n ($0.50) C. p = (n –1) $5.00 D. p = $0.50 (10n) Session

A. 195

B. 185

C. 192

D. 210

Session 3, Question 9

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

polygon?

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A. {–5, 2}

B. {–2, –1}

C. {2, 7}

D. {5, 10}

Session 3, Question 10

10. What is the solution set of the equation x2 + 3x – 4 = 6?

To factor a quadratic, set it equal to 0 and identity the two factors of c that

sum to b when the equation is in ax2 + bx + c form

x2 + 3x – 10 = 0

(x + 5) (x – 2) = 0

x = –5 or 2

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A.

B.

C.

D.

Session 3, Question 11

11. Solve the equation for x.

5x2 –4x = 6

2 26

5x

2 26

5x

2 34

5x

2 34

5x