AnswersTX-College Prep Math AUnit Test

Unit Test — Cumulative exam Answers

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1
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When converting measures, which is a true statement?

A
If you are converting to a smaller unit, you should subtract.
B
If you are converting to a smaller unit, you should multiply.
C
If you are converting to a larger unit, you should add.
D
If you are converting to a larger unit, you should multiply.
2
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Rico represents the inequality with the sentence “The product of –3 and the quotient of 8 and the difference of a number and 5 is at least –16.” Which describes Rico’s error?

Question illustration
A
The expression is translated incorrectly. The order of the terms in the subtraction expression should be reversed.
B
The inequality symbol is translated incorrectly. The words “at least” should be represented as greater than or equal to instead of greater than.
C
The inequality symbol is translated incorrectly. The words “at least” should be represented as less than or equal to instead of greater than.
D
The expression is translated incorrectly. The numerator and the denominator of the division expression should be reversed.
3

How many liters of water should be evaporated from 60 liters of a 28% salt solution so that the remaining solution contains 32% salt?

A
7.5 liters
B
8.4 liters
C
43.2 liters
D
52.5 liters
4

Hakim needs to simplify the expression below.Which operation should he perform first?

Question illustration
A
addition
B
subtraction
C
multiplication
D
division
5

Which inequalities are equivalent to ? Select three options.

Question illustration
A
n + 15 minus 15 less-than 22 minus 15
Option A
B
n + 15 less-than 22 minus 15
Option B
C
n + 15 minus 22 less-than 22 minus 22
Option C
D
n + 15 + 6 less-than 22 + 6
Option D
E
n + 15 minus 22 less-than 22
Option E
6

There are 28.35 grams in an ounce and 2.21 pounds in a kilogram. Miriam converted 7 kilograms to ounces, but her answer is not correct. What is the best explanation of her error?

Question illustration
A
Miriam set up the problem correctly but made a multiplication error.
B
Miriam multiplied correctly, but her second fraction should be .
Option B
C
Miriam multiplied correctly, but her third fraction should be .
Option C
D
Miriam is missing a fraction that is needed to convert the 7 kilograms to pounds.
7

Ivan finished of his math homework problems and all 3 problems for his science homework before dinner. If he finished a total of 43 problems before dinner, what is the total number of math homework problems he was assigned?

Question illustration
A
50
B
52
C
54
D
55
8

What percent is equivalent to ?

Question illustration
A
0.4%
B
2.5%
C
25%
D
40%
9

Allen is running a marathon. He would like to finish the race in under 5.5 hours. He has already run 3 hours. The inequality represents the situation. Which number line shows how much longer Allen can run and still meet his goal?

Question illustration
A
A number line going from 0 to 3. An open circle is at 2.5. Everything to the left of the circle is shaded.
Option A
B
A number line going from 0 to 3. A closed circle is at 2.5. Everything to the left of the circle is shaded.
Option B
C
A number line going from 0 to 3. An open circle is at 2.5. Everything to the right of the circle is shaded.
Option C
D
A number line going from 0 to 3. A closed circle is at 2.5. Everything to the right of the circle is shaded.
Option D
10

Which choices are correctly written in scientific notation? Select the four correct answers.

A
17.1 times 10 Superscript 3
Option A
B
8.05 times 10 Superscript 3
Option B
C
6.25 times 4 Superscript 3
Option C
D
4 times 10 Superscript negative 16
Option D
E
22.09 times 10 Superscript negative 9
Option E
F
3.03 times 10 Superscript negative 1
Option F
G
5 times 10 Superscript 10
Option G
H
3.44 times 1 Superscript 10
Option H
11

What is the value of i 20+1?

A
1
B
–1
C
–i
D
i
12

Mercedes receives a $25 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $1.29. Write and solve an inequality to determine m, the number of songs Mercedes can purchase. What is the approximate solution to the inequality? Round to the nearest whole number.

A
m less-than-or-equal-to 19
Option A
B
m greater-than-or-equal-to 19
Option B
C
m less-than-or-equal-to 32
Option C
D
m greater-than-or-equal-to 32
Option D
13

What is the value of i 97 – i?

A
–i
B
0
C
–2i
D
i Superscript 96
Option D
14

Lian was asked to write an equation and solve this problem. Shonda has some small spoons and 40 large spoons. If she has 68 spoons total, how many small spoons does Shonda have? Lian’s work is shown below. StepsLian’s WorkStep 1Step 2Step 3 In which step, if any, did Lian first make a mistake in her work?

Question illustration
A
step 1
B
step 2
C
step 3
D
no mistake
15

Troy has a price chart below for various ingredients he needs to order for his sandwich bar.Sandwich IngredientsItemCost (per pound)Onions$0.79Tomatoes$0.93Cheese$1.85Ham$3.15Turkey$3.40Troy has to order 8 pounds of ham, 15 pounds of cheese, and 12 pounds of turkey. What is the total cost of Troy’s order?

A
$93.75
B
$110.25
C
$204.23
D
$293.66
16

A mathematical phrase represented by numbers, variables, and operations is a(n)

A
expression.
B
equation.
C
substitution.
D
exponent.
17

What is the solution to the equation?

Question illustration
Answer not available
18

Which set of algebra tiles represents the sentence below?Ada drove 2 fewer miles today than she drove yesterday.

A
2 boxes contain negative x and 1 box contains a plus sign.
Option A
B
1 box contains x and 2 boxes contain a minus sign.
Option B
C
1 box contains negative x and 2 boxes contain plus signs.
Option C
D
2 boxes contain x and 1 box contains a minus sign.
Option D
19

Which situations can represent the expression ? Check all that apply.

Question illustration
A
Ramya’s grade increased by two points
B
the difference between Escher’s highest score and two
C
the number of chapters Wally read plus two more
D
two fewer than the maximum number of absences Ellie is allowed
E
two added to Allison’s age.
F
the sum of Mikel’s height and two
20

Dionna rode her skateboard at a speed of 10 miles per hour. Which statement is correct?

A
If she covered 2.5 miles, she rode for 0.25 hours.
B
If she covered 2.5 miles, she rode for 4 hours.
C
If she covered 4 miles, she rode for 0.25 hours.
D
If she covered 4 miles, she rode for 4 hours.

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