Answers7th Grade Math CR Summer SchoolSolving Two-Step Inequalities

Solving Two-Step Inequalities — Test Answers

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This graph shows a proportional relationship between the number of tulips and the number of daffodils in gardens planned by the Lindy Landscaping Company.Lindy Landscaping GardensWhat is the constant of proportionality?

Question illustration
A
0.2
B
0.5
C
2
D
5
2
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What is the best first step in solving ?

Question illustration
A
Add to both sides.
Option A
B
Subtract from both sides.
Option B
C
Multiply both sides by and reverse the inequality symbol.
Option C
D
Divide both sides by 10 and reverse the inequality symbol.
3

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

Question illustration
A
Subtract 5 from 2.
B
Divide 6 by –3.
C
Add –3 and 4.
D
Multiply 4 and 2.
4

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?

Question illustration
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
5

Fernando evaluated the expression below. What was Fernando’s error?

Question illustration
A
Fernando evaluated the numerator of the fraction incorrectly.
B
Fernando simplified incorrectly.
Option B
C
Fernando incorrectly found the product of –2 and –5.
D
Fernando evaluated incorrectly.
Option D
6

What is the solution to ?

Question illustration
A
x greater-than-or-equal-to negative 12
Option A
B
x greater-than-or-equal-to 12
Option B
C
x less-than-or-equal-to 12
Option C
D
x less-than-or-equal-to negative 12
Option D
7

Nancy created a graph to predict the pay she will take home after taxes are taken from her income. Using the information on the graph, what is the constant of proportionality?

Question illustration
A
0.48
B
0.6
C
0.8
D
1.25
8

The table below shows the amount of money Sarah spends for a craft demonstration. Number of People AttendingCost5$158$1810$2015$25Sarah spends a total of $60. Based on the information in the table, how many people attended the craft demonstration?

A
20
B
30
C
50
D
70
9

For each babysitting job, Tamar charges $6 for bus fare plus $8 per hour. She only accepts babysitting jobs if the total charge is at least $30. What is the minimum number of hours for a babysitting job she would accept?

A
hours
Option A
B
3 hours
C
4 hours
D
hours
Option D
10

Javier and his study group designed a word problem, equation, table, and graph that were all supposed to represent the same information, as shown below.Word ProblemA movie theater charges $8.00 for each ticket. What is the total cost, y, for x tickets?Equationy = 8xGraphMovie Theater CostsTableWhich piece of information does not represent the same information as the other three parts?

Question illustration
A
word problem
B
equation
C
graph
D
table
11

What is the quotient?

Question illustration
A
–30
B
–6
C
6
D
30
12

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

Question illustration
A
Subtract 7 from –5.
B
Multiply 8 and 3.
C
Divide 7 by 2.
D
Add 6 and –5.
13

Jillian is trying to determine what helium tank pressure she needs to fill balloons for the student council dance. Find the unknown numbers in the table until you find the best answer to the question. Which cylinder pressure will Jillian need if she plans to fill 90 balloons?Tank Pressure and Balloon QuantityPressure in the helium cylinder (psi)Number of 9-inch balloons10030150?200?250?300?

A
150
B
200
C
250
D
300
14

David had a coupon for the grocery store. He started graphing on the x-axis what his total bill would be if he didn’t use the coupon and graphing on the y-axis what his total bill would be if he used the coupon.Grocery BillBased on the information in the graph, develop an equation and use it to determine if David’s bill came to $66 after the coupon was applied, how much would his bill have been if he hadn’t used the coupon?

Question illustration
A
$64
B
$65
C
$67
D
$68
15

The table below shows the total cost of admittance to a basketball game, y, for x students.xy5$2510$5015$7520$100Which explains how the table can be used to predict the cost of any number of students attending the game?

A
The table is a partial representation of a larger data set. It can be used to generate a graph that is a complete representation of the data set.
B
The table is a partial representation of a larger data set. It can be used to generate an equation that is a complete representation of the data set.
C
The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the x-column.
D
The table is a complete representation of the data set. To determine the cost of any number of students, find the number of students in the y-column.

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