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Quiz Session - Attempts With Random Questions

GACE Exam Questions

Page 6 of 27

101.

Read the passage then answer the question that follows. 

Which of the following methods of organization is used in the passage?

  • Explain a process

  • Analogy

  • Classification

  • Order of importance

Correct answer: Explain a process

The passage is organized to explain the process of how to make no-bake cookies. 

The passage does not use order of importance, as there is no singular important event that occurs in making cookies. The passage does not use analogy, as the passage does not compare making the cookies to another process. The passage does not use classification, as the passage does not break the process of making cookies down into categories and subcategories.

102.

Betty and Kris spent a total of $360 shopping today. If Betty spent $80 more than Kris did, how many dollars did Kris spend?

  • $140.00

  • $220.00

  • $80.00

  • $100.00

Correct answer: $140.00

Backsolving is the easiest way to solve this problem. To backsolve, choose the answer choice that is the middle option to start with, and work toward the correct answer.

$120 is the middle option in the answer bank. If Betty and Kris spent a total of $360 and Kris spent $120, that would leave Betty spending $240 dollars. Betty's $240 less Kris's $120 equals $120. This answer choice proves to be too low, as you want Betty to spend only $80 more than Kris, so you will need to choose the answer choice that is higher than $120.

The answer choice that is higher than $120 is $140. If Betty and Kris spent a total of $360 and Kris spent $140, that would leave Betty spending $220 dollars. Betty's $220 less Kris's $140 equals $80. Thus, you can determine Betty spent $80 more than Kris did.

You can also solve this problem setting up the algebraic equation:

(x + $80) + x = $360

$80 + 2x = $360

2x = $280

x = $140

103.

What is the solution to the equation?

x - |-42| = 108

  • 150

  • 66

  • -150

  • -66

  • 0

Correct answer: 150

1. Any number in absolute value is positive.

|-42| = 42

2. Solve for x.

x - |-42| = 108

x - 42 = 108

x = 108 + 42

x = 150

104.

If Shelly eats 3/8 of a pie and Charlie eats half as much as Shelly eats, what fraction of the pie is left?

  • 7/16

  • 9/16

  • 5/8

  • 7/8

  • 1/2

Correct answer: 7/16

1. Find the fraction of the pie that Charlie eats.

3/8 × 1/2 = 3/16

2. Change 3/8 to have the same denominator as 3/16.

(3 × 2)/(8 × 2) = 6/16 

3. Add the amount that Shelly eats to the amount that Charlie eats. 

6/16 + 3/16 = 9/16

4. Subtract the portion eaten from the total amount of pie.

1 - 9/16 = 

16/16 - 9/16 = 7/16

105.

What is the sum of 3x2y3 and -5x2y3?

  • -2x2y3

  • -15x2y3

  • 8x2y3

  • -5xy

  • -15xy2

Correct answer: -2x2y3

When adding variables with the same exponents, such as 3x2y3 and -5x2y3, add the coefficients as normal. The exponents of the variables remain the same.

106.

Read the passage then answer the question that follows. 

Which of the following, if true, would weaken the employees’ claim that the organization is no longer a great place to work?

  • Some employees still believe it is a great place to work, despite the cuts in benefits

  • The organization does not recognize the recent changes as a problem

  • Many companies in the industry have taken away their employees' sick days

  • Many companies in the industry do not give raises every year

Correct answer: Some employees still believe it is a great place to work, despite the cuts in benefits

The employees’ claim that the reason the organization is no longer a great place to work is due to the loss of benefits. In order to weaken that claim, another reason needs to be provided to explain that not all employees are upset that they lost the benefits.

107.

Each of the 25 children in a group get to pick one and only one bumper car. There are 8 pink bumper cars, 9 blue bumper cars, and 8 yellow bumper cars. At this very instant, 19 of the total bumper cars have been selected.

Which of the following facts can be determined from the information given above?

  • The number of children in the group that have not yet chosen a bumper car

  • The number of children that chose a pink bumper car

  • The number of boys who selected a blue bumper car

  • The total number of children at the theme park

Correct answer: The number of children in the group that have not yet chosen a bumper car

You will want to eliminate the answer choices you know are wrong and focus on the information you are given. 

You know that 19 of the bumper cars have been chosen, and that there are a total of 25 children who are picking a bumper car. Therefore, you can determine how many children have not yet chosen a bumper car.

108.

Read the passage then answer the question that follows. 

Which of the following sentences contains nonstandard pronoun use?

  • Sentence 4

  • Sentence 2

  • Sentence 6

  • Sentence 7

Correct answer: Sentence 4

Sentence 4 contains nonstandard pronoun use. The pronoun “them” is used in the personal class of pronouns. This sentence requires the use of a demonstrative pronoun: “those.”

Sentences 2, 6, and 7 all contain standard pronoun use.

109.

Read the passage then answer the question that follows. 

Which of the following changes needs to be made in the passage?

  • Sentence 1: Change “its” to “it’s”

  • Sentence 2: Change “there” to “their”

  • Sentence 6: Change “most notable” to “notablest”

  • Sentence 11: Change “to” to “for”

Correct answer: Sentence 1: Change “its” to “it’s”

In Sentence 1, the possessive form of “its” should not be used. The contraction for “it is” should be used to make Sentence 1 correct. 

The word “there” in Sentence 2 is used correctly. The change in Sentence 6 would cause the sentence to contain a misspelled word, and the change in Sentence 11 would cause the sentence to not read correctly.

110.

Read the passage then answer the question that follows. 

Which of the following sentences displays a nonstandard use of a comparative form?

  • Sentence 9

  • Sentence 3

  • Sentence 5

  • Sentence 7

Correct answer: Sentence 9

The writer is comparing the wine’s alcohol content after the wine flows down the sides of the glass. That’s only one thing; therefore, the comparative form is not correct. The positive form of “better” should be used: good. 

Sentences 3, 5, and 7 do not contain words used in the comparative form.

111.

John adopted his dog exactly 5 years and 12 days ago. At this instant, how many minutes has John had his dog?

  • 2,645,280 minutes

  • 1,837 minutes

  • 44,088 minutes

  • 1,825 minutes

Correct answer: 2,645,280 minutes

Start by finding the number of days in 5 years.
5 years x (365 days / 1 year) = 1,825 days

Add the 12 days.
1,825 days + 12 days = 1,837 days

Convert the number of days to hours.
1,837 days x (24 hours / 1 day) = 44,088 hours

Convert the number of hours to minutes
44,088 hours x (60 minutes / 1 hour) = 2,645,280 minutes

John had his dog for 2,645,280 minutes when he had him for exactly 5 years and 12 days.

112.

Analyze the index below. Then answer the following question:

Working With Web Pages
Attaching CSS styles to web 165-166
Changing orientation 141-143
Designing responsive 153-157
Exporting HTML pages 163-164
Inserting mobile-sized HTML page 163-169
Previewing on mobile device 155, 157-159

Which of the following best describes the organizational pattern used in the section of the book dealing with working with web pages?

  • By category

  • Alphabetical

  • From easiest to hardest

  • By importance

Correct answer: By category

The different ways to work with web pages are broken down into different categories. 

You have no way of evaluating if the index is organized by importance, or from easiest to hardest.

113.

Solve:

24m6n2p3 ÷ 2m4np3

  • 12m2n

  • 22m2p

  • 12m10n3p6

  • 12mnp

  • 6m10n3p6

Correct answer: 12m2n

When dividing exponents, subtract the exponents of like terms.

1. Divide 24 ÷ 2.

24 ÷ 2 = 12

2. Subtract m6 - m4.

m6 - m4 = m6-4 = m2

3. Subtract n2 - n.

n2 - n = n2-1 = n

4. Subtract p3 - p3. If 

p3 - p3 = p3 - 3 = p0, so p cancels out.

5. Combine the terms.

12m2n

114.

How many hectograms are in 8,500 milligrams?

  • 0.085 hg

  • 8.5 hg

  • 850 hg

  • 0.0085 hg

  • 850,000,000 hg

Correct answer: 0.085 hg

1. Convert milligrams to grams.

8,500 mg × 1/1,000 = 8.5 g

2. Convert grams to hectograms.

8.5 g  × 1/100 = 0.085 hg

115.

Read the passage then answer the question that follows. 

Which of the following sentences contains nonstandard comma use?

  • Sentence 4

  • Sentence 2

  • Sentence 6

  • Sentence 9

Correct answer: Sentence 4

Sentence 4 contains nonstandard comma use. The sentence should use commas to separate numerals to distinguish thousands: “3,700” and “8,400.” 

Sentences 2, 6, and 9 all contain standard comma use.

116.

Simplify:

-5(x + 3)

  • -5x - 15 

  • -x + 15 

  • 3x - 15 

  • -3x - 5 

  • -5x - 2

Correct answer: -5x - 15 

Use the distributive property to simplify.

-5(x + 3) =

-5(x) + -5(3) =

-5x - 15

117.

If 2y - 8 = 8, what is half of the value of y?

  • 4

  • 16

  • 8

  • 2

Correct answer: 4

First, add 8 to each side of the equation: 2y = 16

Now, divide each side of the equation by 2: y = 8

The question asks for half of the value of y: 8 / 2 = 4

118.

What is the perimeter of quadrilateral RSTV, to the nearest hundredth?

  • 33.12

  • 30.01

  • 24.98

  • 18.56

  • 24.51

Correct answer: 33.12

The distance between two points (x1, y1) and (x2, y2) is given by the distance formula:

d = √[(x2 - x1)2 + (y2 - y1)2]

To find the perimeter, find the side lengths and add them together.

1. Find the length of RS.

d = √[(2 - -5)2 + (6 - 7)2]

d = √[72 + -12]

d = √(49 + 1)

d = √50 = 7.07

2. Find the length of ST.

d = √[(5 - 2)2 + (-3 - 6)2]

d = √[32 + -92]

d = √(9 + 81)

d = √90 = 9.49

3. Find the length of TV.

d = √[(-4 - 5)2 + (0 - -3)2]

d = √[(-9)2 + (3)2]

d = √(81 + 9)

d = √90 = 9.49

4. Find the length of RV.

d = √[(-5 - -4)2 + (7 - 0)2]

d = √[(-1)2 + (7)2]

d = √(1 + 49)

d = √50 = 7.07

5. Add the lengths to find the perimeter.

7.07 + 9.49 + 9.49 + 7.07 = 33.12

119.

Read the passage then answer the question that follows.

This passage would most likely appear in:

  • A sports magazine

  • An editorial

  • The Journal for Sports Medicine

  • A business textbook

Correct answer: A sports magazine

The information is not too complex; therefore, The Journal for Sports Medicine and the business textbook options should be eliminated. Very little opinion, if any, is stated in the passage, so eliminate an editorial. 

Since the information is described as recent, it would most likely appear in a sports magazine.

120.

View the supporting details to answer the following question.

What was the percent increase of popcorn sales from the first half of 2009 to the first half of 2010?

  • 1.75%

  • 0.75%

  • 1.50%

  • 15.00%

Correct answer: 1.75%

First, you need to add the popcorn sales shown for the first half of 2009. Then, you need to add the popcorn sales shown for the first half of 2010. Now, calculate the percent increase using the percent change formula (difference / original). 

The total for 2009 was $5,420.00 and the total for 2010 was $5,515.00. The percent change fraction is $95.00 / $5,420.00, which equals a 1.75% increase in popcorn sales.

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