Answers7th Grade Math CR Summer SchoolSolving Two-Step Inequalities

Solving Two-Step Inequalities — Test Answers

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Simon is trying to figure out how much it will cost to buy 30 cases of water for a school picnic. How much will Simon pay for 30 cases of water? Water Prices by the CaseNumber of casesPrice in dollars1566.002088.0035154.00

A
$99.00
B
$119.00
C
$121.00
D
$132.00
2
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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
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

The unchanging value of the ratio between two proportional quantities is

A
the constant of proportionality.
B
the constant rate.
C
the x-value of an ordered pair.
D
the y-value of an ordered pair.
5

What is the value of ?

Question illustration
A
–6
B
–2
C
14
D
22
6

Arnob, Bella, Colin, Dante, and Erin are going to a baseball game. They have a total budget of $100.00 to spend. Each game ticket costs $17.50 and each drink costs $2.00. The inequality below relates x, the number of drinks the 5 friends could buy in all, with their ticket costs and budget.Which best describes the restrictions on the number of drinks they can buy?

Question illustration
A
They can buy only from 0 to 3 drinks, but no more.
B
They can buy only from 0 to 6 drinks, but no more.
C
They can buy only from 0 to 7 drinks, but no more.
D
They can buy only from 0 to 12 drinks, but no more.
7

What is the value of ?

Question illustration
A
Negative 20
Option A
B
Negative 4
Option B
C
4
Option C
D
20
Option D
8

Which graph shows the solution set for ?

Question illustration
A
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
Option A
B
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
Option B
C
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
Option C
D
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Option D
9

What is the value of x in the equation ?

Question illustration
A
–22
B
–1.1
C
1.1
D
22
10

What is the product?

Question illustration
A
–82
B
–72
C
72
D
82
11

Which expression has a negative value?

A
2 + 12
Option A
B
(negative 3) (negative 8)
Option B
C
10 minus (negative 18)
Option C
D
Negative 35 divided by 5
Option D
12

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
13

Based on the table, what is the unit rate for one gallon of gasoline?GasolineNumber of gallonsPrice2$6.603$9.904$13.20

A
$3.30
B
$4.60
C
$5.60
D
$6.50
14

The constant of proportionality for the amount of electricity in kilowatt hours and the cost per kilowatt hour is $0.11. Which graph models this situation?

A
A line graph titled Electricity Cost has Kilowatt hours on the x-axis and Cost in dollars on the y-axis. 100 Kilowatt hours is 11 dollars; 250, 27 dollars and 50 cents.
Option A
B
A line graph titled Electricity Cost has Kilowatt hours on the x-axis and Cost in dollars on the y-axis. 100 Kilowatt hours is 9 dollars; 250, 22 dollars and 50 cents.
Option B
C
A line graph titled Electricity Cost has Kilowatt hours on the x-axis and Cost in dollars on the y-axis. 100 Kilowatt hours is 12 dollars; 250, 30 dollars.
Option C
D
A line graph titled Electricity Cost has Kilowatt hours on the x-axis and Cost in dollars on the y-axis. 100 Kilowatt hours is 13 dollars; 250, 32 dollars and 50 cents.
Option D
15

What is the solution to ?

Question illustration
A
x less-than-or-equal-to 3
Option A
B
x less-than-or-equal-to 6
Option B
C
x less-than-or-equal-to 48
Option C
D
x less-than-or-equal-to 96
Option D
16

What is the solution to ?

Question illustration
A
x less-than 2
Option A
B
x less-than 8
Option B
C
x less-than 10
Option C
D
x less-than 40
Option D
17

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes. CubesBoxesNumber of cubes1n562581,000What is the unknown value representing the unit rate?

A
8
B
125
C
140
D
156
18

Using the order of operations, what should be done first to evaluate ?

Question illustration
A
Divide 12 by 5.
B
Multiply –6 and 3.
C
Divide 12 by –6.
D
Add 3 and –2.
19

Which table of values corresponds to the graph below?

Question illustration
A
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 3, 0, 3, 6.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 1, 0, 1, 6.
Option D
20

The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window?

A
2.5 x + 0.6 = 4.9
Option A
B
2.5 x minus 0.6 = 4.9
Option B
C
0.6 x + 2.5 = 4.9
Option C
D
0.6 x minus 2.5 = 4.9
Option D

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