AnswersAZ-Intermediate Algebra A MA311Solving Linear Equations: Distributive Property

Solving Linear Equations: Distributive Property — Unit test Answers

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Water leaves a spigot at a rate of 462 cubic inches per minute. How many cubic feet of water is this per hour? (Round your answer to the nearest whole number.) cubic feet

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The graph represents a mechanic’s labor costs for a given number of hours of car repair.

Question illustration
A
All repairs requiring 1 hour or less have the same labor cost.
B
Labor costs the same no matter how many hours are used for a repair.
C
Labor costs for a repair are less expensive as the number of hours increases.
D
There is no cost of labor for a repair requiring less than 1 hour.
3

A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27).

Question illustration
A
Each strawberry contains 4 calories.
B
Each strawberry contains 3 calories.
C
Twenty-four strawberries contain 6 calories.
D
Four strawberries contain 15 calories.
4

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

Question illustration
A
(10h + 60) = (10h)
Option A
B
(10h + 60h) = (10h)
Option B
C
h(10 + 60) = h(10)
Option C
D
(10 + 60h) = (10h)
Option D
5

The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

A
0.8 = 0.8
B
–0.8 = –0.8
C
3 = 3
D
–3 = –3
6

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

A
6 + 2(x + 4) = (3 – x)
Option A
B
6 + 2(x + 4) = (x – 3)
Option B
C
(6 + 2)(x + 4) = (3 – x)
Option C
D
(6 + 2)(x + 4) = (x – 3)
Option D
7

A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.

Question illustration
A
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
B
A rewards customer pays $5 per ounce because the total amount paid is always increasing.
C
A rewards customer pays $20 for 10 or 12 ounces of yogurt because the total amount paid is increasing.
D
A rewards customer earns 5 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
8

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.

Question illustration
A
$1.50
B
$2.00
C
$2.50
D
$3.00
9

How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)

A
zero
B
one
C
two
D
infinitely many
10

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

A
2.3p – 10.1 = 6.4p – 4
B
2.3p – 10.1 = 6.49p – 4
C
230p – 1010 = 650p – 400 – p
D
23p – 101 = 65p – 40 – p
E
2.3p – 14.1 = 6.4p – 4
11

Solve the equation.–x + 8 + 3x = x – 6

A
x = –18
B
x = –14
C
x = 2
D
x = 4
12

A graph titled Cost of Erasers. The x-axis shows the number of erasers, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 0.5 to 4.5. Blue diamonds appear at points (1, 0.5), (2, 1), (3, 1.5), (4, 2), (5, 2.5), (6, 3), (7, 3.5), (8, 4), (9, 4.5).

Question illustration
A
Each eraser costs $1.00.
B
Each eraser costs $1.50.
C
Three erasers cost $6.
D
Seven erasers cost $3.50.
13

Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework?

A
(x + 30 + 60) = x
Option A
B
(x) = x(30 + 60)
Option B
C
x(30 + 60) = x
Option C
D
(x) = (30 + 60)
Option D
14

What is the value of p in the linear equation ?

Question illustration
A
−4
B
−2
C
2
D
4
15

Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

A
2 feet
B
12 feet
C
720 feet
D
7,200 feet

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