AnswersNC-Foundations of Math 1 Fall 1st 9 WeeksSolving Equations with Rational Numbers

Solving Equations with Rational Numbers — Unit test Answers

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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?

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A
50
B
52
C
54
D
55
2
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The graphic models one of the properties used to solve a one variable equation.Which property is being modeled?

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A
addition property of equality
B
commutative property of multiplication
C
distributive property of multiplication
D
associative property of addition
3

Translate the sentence into an equation.The product of 6 and a number is 108.What is the solution to the equation?

A
18
B
22
C
102
D
648
4

Ronin draws a square with a measure of inches on each side. The perimeter of his square is 96 inches. The equation below represents the perimeter of the square.What is the value of x?

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A
16
B
22
C
24
D
26
5

Three investors own a company. One partner owns of the company, while the second partner owns of the company. How much does the third partner own?

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A
Two-thirds
Option A
B
StartFraction 7 Over 20 EndFraction
Option B
C
StartFraction 13 Over 20 EndFraction
Option C
D
StartFraction 17 Over 20 EndFraction
Option D
6

Which should be the first step in solving the equation ?

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A
Add 3.8 to both sides of the equation.
B
Subtract 1.2 from both sides of the equation.
C
Multiply both sides of the equation by 1.2.
D
Divide both sides of the equation by 3.8.
7

Leo spent the same amount of time working on each of 5 different weight machines and then spent of an hour on the treadmill. If he spent a total of hours at the gym, which shows the correct equation and solution for x, the number of hours Leo spent at each of the weight machines?

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A
; Leo spent 13 minutes at each machine.
Option A
B
; Leo spent 29 minutes at each machine.
Option B
C
; Leo spent 5 minutes at each machine.
Option C
D
; Leo spent 10 minutes at each machine.
Option D
8

Write and solve the equation and then check your answer. Which statements are true about the equation and its solution? Check all that apply.A number decreased by thirty-one is fifty-two.

A
The correct equation is .
Option A
B
The correct equation is .
Option B
C
To check the solution, substitute 83 for the variable in the equation.
D
To check the solution, substitute 21 for the variable in the equation.
E
This is an addition problem.
F
This is a subtraction problem.
G
To solve the equation, subtract 31 from both sides.
H
To solve the equation, add 31 to both sides.
9

Maggie bought a pound of bananas and 4 boxes of cereal for $10.11. If each box of cereal cost $2.40, what was the price of a pound of bananas?

A
$0.51
B
$0.61
C
$1.51
D
$2.91
10

Kendra bought a gallon of milk and of a pound of oranges. If the gallon of milk cost $3.60 and she spent a total of $4.35, which equation can be used to determine x, the cost of a pound of oranges?

Question illustration
A
3.60 + StartFraction 5 over 6 EndFraction x = 4.35
Option A
B
4.35 + StartFraction 5 over 6 EndFraction x = 3.60
Option B
C
3.60 x + StartFraction 5 over 6 EndFraction = 4.35
Option C
D
4.35 x + StartFraction 5 over 6 EndFraction = 3.60
Option D
11

Kari picked 23 bunches of flowers from her garden. Each bunch had the same number of flowers. After she gave 46 flowers away, she had 138 left. How many flowers were in each bunch?

A
3
B
4
C
6
D
8
12

What is the value of x in the equation below? Round to the nearest hundredths place.

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A
3.01
Option A
B
3.17
Option B
C
36.44
Option C
D
38.4
Option D
13

Identify the method that will be used in solving for x.

Question illustration
A
distributive property
B
multiplication property of equality
C
division property of equality
D
subtraction property of equality
14

Which property should Remus use to solve the equation below?

Question illustration
A
division property of equality
B
addition property of equality
C
subtraction property of equality
D
identity property of equality
15

What is the solution to the equation?

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Answer not available

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