AnswersNC-Foundations of Math 1 Fall 1st 9 WeeksUnit Test

Unit Test — Unit test Answers

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The first step to solve the equation is shown below.Which property was applied in this step?

Question illustration
A
Addition Property of Equality
B
Subtraction Property of Equality
C
Multiplication Property of Equality
D
Division Property of Equality
2
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What is the value of x in the equation ?

Question illustration
A
–22
B
–1.1
C
1.1
D
22
3

Which equation, when solved, results in a different value of x than the other three?

A
8.3 = negative 0.6 x + 11.3
Option A
B
11.3 = 8.3 + 0.6 x
Option B
C
11.3 minus 0.6 x = 8.3
Option C
D
8.3 minus 0.6 x = 11.3
Option D
4

What is another way to write the equation ?

Question illustration
A
7 (StartFraction x over 8 EndFraction) + three-fourths = negative 6
Option A
B
StartFraction 7 + 3 over 8 + 4 EndFraction x = negative 6
Option B
C
StartFraction 7 over 8 EndFraction + three-fourths x = negative 6
Option C
D
StartFraction 7 over 8 EndFraction x minus three-fourths = 6
Option D
5

The difference in the height of the two rectangles is 7 feet.What is the value of y?

Question illustration
Answer not available
6

What is the value of x?

Question illustration
A
One-fourth
Option A
B
StartFraction 8 Over 25 EndFraction
Option B
C
Two-fifths
Option C
D
One-half
Option D
7

What is the value of x in the equation ?

Question illustration
A
–56
B
–52
C
52
D
56
8

What is the least common denominator of the equation ?

Question illustration
A
2
B
9
C
12
D
36
9

Nisha did the work below to solve an equation.Step 1Step 2Step 3Step 4In which step did Nisha make her first error?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
10

Soo-Jung used the subtraction property of equality to solve an equation for y. Which equation could be the one that Soo-Jung solved?

A
4 y = 12
Option A
B
StartFraction y Over 4 EndFraction = 12
Option B
C
2 (4 y) = 12
Option C
D
y + 4 = 12
Option D
11

Which equation can be used to solve for the unknown number?Seven less than a number is thirteen.

A
n minus 7 = 13
Option A
B
7 minus n = 13
Option B
C
n + 7 = 13
Option C
D
n + 13 = 7
Option D
12

Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below.Where, if anywhere, did Carina make an error?

Question illustration
A
Carina did not make any errors.
B
The initial equation that Carina wrote was incorrect.
C
Carina should have subtracted 3.40 from 5.27.
D
Carina should have divided 8.67 by 0.85.
13

Marta’s math textbook weighs of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is pounds, which shows the correct equation and value of x, the weight of Marta’s book for language arts?

Question illustration
A
; of a pound
Option A
B
; of a pound
Option B
C
; of a pound
Option C
D
; of a pound
Option D
14

Solve the equation using the distributive property and properties of equality.What is the value of a?

Question illustration
A
Negative 14
Option A
B
Negative 8
Option B
C
8
D
14
15

Henry showed all the steps he took to solve the equation. StepSimplified Expression1-234Sammy tried to verify the solution by substituting back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?

Question illustration
A
Step 1 is wrong because the distributive property of equality was used incorrectly.
B
Step 2 is wrong because the addition property of equality was used incorrectly.
C
Step 3 is wrong because the subtraction property of equality was used incorrectly.
D
Step 4 is wrong because the division property was used incorrectly.
16

Which expression is equivalent to ?

Question illustration
A
8p
B
14p
C
6 p + 2
Option C
D
9 p minus 1
Option D
17

Which property can be used to solve the equation?

Question illustration
A
addition property of equality
B
subtraction property of equality
C
multiplication property of equality
D
division property of equality
18

What is the value of x in the equation below?

Question illustration
A
2
B
6
C
8
D
10
19

Mrs. McAlister wrote the equation on the board and asked students to write an equivalent equation. The table below shows the responses from four students.Student ResponsesNameEquationMichelePiotrRonnieTanishaWhich student wrote an equation that is equivalent to Mrs. McAlister’s?

Question illustration
A
Michele
B
Piotr
C
Ronnie
D
Tanisha
20

What is the solution to the equation?

Question illustration
A
2.3
B
5.568
C
15.1
D
55.68

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