AnswersSS-Math 7Writing Inequalities

Addition and Subtraction Inequalities Answers

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1
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Which shows the correct solution to the inequality ?

Question illustration
A
StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction.
Option A
B
StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction.
Option B
C
StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative StartFraction 37 over 40 EndFraction.
Option C
D
StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative StartFraction 37 over 40 EndFraction.
Option D
2
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A clothing store offers a free T-shirt when a customer spends $75 or more. Lyndon has already spent $36.95. Which statement best represents all of the amounts he can spend to get a free T-shirt?

A
$34.05 or more
B
$34.05 or less
C
$38.05 or more
D
$38.05 or less
3

Which is the solution to the inequality?

Question illustration
A
y less-than negative 12
Option A
B
y greater-than negative 12
Option B
C
y less-than 18
Option C
D
y greater-than 18
Option D
4

Which is the solution to the inequality?

Question illustration
A
x less-than StartFraction 7 over 12 EndFraction
Option A
B
x greater-than StartFraction 7 over 12 EndFraction
Option B
C
x less-than 1 and StartFraction 1 over 12 EndFraction
Option C
D
x greater-than 1 and StartFraction 1 over 12 EndFraction
Option D
5

A mobile phone carrier charges an extra fee if a customer uses more than 500 minutes each month. Tom has already used 230 minutes this month. Which inequality can be used to determine how many more minutes Tom can use this month without going over the 500-minute limit?

A
230 + m greater-than 500
Option A
B
230 + m greater-than-or-equal-to 500
Option B
C
230 + m less-than 500
Option C
D
230 + m less-than-or-equal-to 500
Option D
6

Ben wants to buy a new car stereo and he has already saved some money. He used this inequality to represent the amount he still has to save to be able to buy the stereo, where a represents the amount still left to save. If Ben saves $15 a week for the next 10 weeks, will he be able to buy the stereo and why?

Question illustration
A
No, because he needs to save at least $153, and he will only save $150 over the next ten weeks.
B
No, because he needs to save $577, and he will only save $150 more.
C
Yes, because he has already saved $365, and the stereo cost $212.
D
Yes, because he has already saved $212, and he will save another $150.
7

Which inequality has –12 in its solution set?ABCD

Question illustration
A
A
B
B
C
C
D
D
8

Which number line shows the solution to the inequality?

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. A closed circle is at negative 3. Everything to the left of the circle is shaded.
Option B
C
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 C
D
A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.
Option D
9

An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit.How much weight can Lorrie add to the carry-on without going over the 30-pound limit?

Question illustration
A
less than 8.8 pounds
B
more than 8.8 pounds
C
no less than 8.8 pounds
D
no more than 8.8 pounds
10

Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)

A
70 greater-than 7 minus 55
Option A
B
70 less-than t minus 55
Option B
C
70 less-than-or-equal-to t + 55
Option C
D
70 greater-than t + 55
Option D
11

Marquis used the steps below to find the solution to the inequality .Step 1Subtract 3.6 from both sides of the inequality.Step 2Interpret the results.x is greater than or equal to –9.2.Step 3Draw a number line. Which describes the first step in which Marquis made an error?

Question illustration
A
In Step 1, Marquis should have added 3.6 to each side of the inequality.
B
In Step 2, Marquis should have interpreted the results as , which means that x is less than or equal to –9.2 .
Option B
C
Marquis should have used an open circle at –9.2 in Step 3.
D
Marquis should have shaded the number line to the right of –9.2 in Step 3.
12

Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality represent?

Question illustration
A
After next year, Aisha still needs to grow 43 more inches to ride.
B
Aisha is less than 43 inches tall right now.
C
Aisha needs to grow 43 more inches to ride.
D
Aisha is at least 43 inches tall now.
13

Geraldo has a coupon for $12 off the total bill at a local restaurant. Geraldo does not want to spend more than $65. The inequality represents the situation. What will be included in the solution set in the context of the problem?

Question illustration
A
all positive and negative values less than 77
B
all positive and negative values less than or equal to 77
C
all positive values less than 77
D
all positive values less than or equal to 77

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