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Equations in One Variable Answers

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For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?

A
One-half c plus 1 equals 6
Option A
B
One-half c minus 1 equals 6
Option B
C
One-half c plus 6 equals 1
Option C
D
One-half c minus 6 equals 1
Option D
2
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The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x represents the cost of a ticket. How much is one ticket?

A
$3.00
B
$4.00
C
$9.00
D
$15.00
3

For which equations below is x = –3 a possible solution? Select three options.

A
|x| = 3
B
|x| = –3
C
|–x| = 3
D
|–x| = –3
E
–|x| = –3
4

In order to isolate the variable term in the equation 6 – 2x = –3 using the subtraction property of equality, which number should be subtracted from both sides of the equation?

A
–3
B
–2
C
3
D
6
5

The Blakely family has driven 50 miles of a 200-mile trip. Their car travels 30 miles per gallon of gas. How many gallons of gasoline, g, will the car use on the remainder of the trip?

A
gallons
Option A
B
gallons
Option B
C
gallons
Option C
D
gallons
Option D
6

For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If the total number of calories in Sameer’s snack was 56, how many strawberries did he eat?

A
6 strawberries
B
8 strawberries
C
14 strawberries
D
22 strawberries
7

A cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t, the number of hours it would take to fill the container.18 + ?t = 24What number should be the coefficient of t?

A
2
B
3
C
18
D
24
8

Zoe is solving the equation 3x – 4 = –10 for x.She used the addition property of equality to isolate the variable term as shown.3x – 4 = –103x – 4 + 4 = –10 + 43x = – 6

A
either the addition or subtraction property of equality
B
either the multiplication or division property of equality
C
either the addition or multiplication property of equality
D
either the subtraction or division property of equality
9

Jamal uses the steps below to solve the equation 6x – 4 = 8.Step 1: 6x – 4 + 4 = 8 + 4Step 2: 6x + 0 = 12Step 3: 6x = 12Step 4: = Step 5: 1x = 2Step 6: x = 2

Question illustration
A
the addition property of equality
B
the identity property of addition
C
the multiplication property of equality
D
the identity property of multiplication
10

The cooking time for a mini-loaf of bread is 5 minutes longer than half the time it takes to bake a regular-sized loaf of bread. If it takes 25 minutes to bake a mini-loaf, how long does it take to bake a regular-sized loaf?

A
10 minutes
B
20 minutes
C
30 minutes
D
40 minutes

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