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Quiz 1.2 - Inequalities and Words

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Last updated about 4 years ago
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Question 1
1.

Question 2
2.

Solve the inequality.

3x - 5 > 2x - 15

Enter your answer in "x>#" format, no spaces. The answer is not necessarily the ">" symbol. Note that typing "<=" creates a < sign.

Question 3
3.

Solve the inequality.

2x - 5 > 5x - 17

Enter your answer in "x>#" format, no spaces. The answer is not necessarily the ">" symbol. Note that typing "<=" creates a < sign.

Question 4
4.

Solve the inequality.

6 - 2(x+1) < 2

Enter your answer in "x>#" format, no spaces. The answer is not necessarily the ">" symbol. Note that typing "<=" creates a < sign.

Question 5
5.

Solve the compound inequality.

|3x-6|<21

Enter your answer in "#<x<#" format, no spaces. Note that typing "<=" creates a < sign.

Question 6
6.

Solve the compound inequality.

1-|2x-7|>0

Enter your answer in "#<x<#" format, no spaces. Note that typing "<=" creates a < sign.

Question 7
7.

Solve the compound inequality.

|x+3|>4

Use "x># or x<#" format, with exactly one space before and after the "or".

Question 8
8.

Solve the compound inequality.

5-|x+3|<4

Use "x># or x<#" format, with exactly one space before and after the "or".

Question 9
9.

Question 10
10.

Question 11
11.

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Question 12
12.

Question 13
13.

Question 14
14.

Question 15
15.

Match the representations with the appropriate vocabulary
>
<
open circle shaded on the right
<
closed circle, shaded on the right
closed circle, shaded on the left
>
open circle, shaded on the left
Greater than
Greater than or equal to
Less than
Less than or equal to
Which of the following values of x satisfy the following inequality?

3(5 - x) < 30

Check all that apply.
-10
5
-5
-15
10
Which of the following values of x satisfy the following inequality?

\frac{1}{2}|x+1|>3

Check all that apply.
-7
5
-8
8
6
-6
Match the phrases with the corresponding mathematical expressions.
two more than a number
2x
the sum of half a number and two
x/2
twice a number
x-2
half the sum of a number and two
x+2
half a number
\frac{x+2}{2}
two less than a number
\frac{x}{2}+2
A bowling alley has a group entry fee of $20. Each person who bowls must rent a pair of bowling shoes for $2.

A club sponsor paid $56 total for her club to go bowling.

Which equation, when solved for x, gives the number of people that bowled?
20+56=2x
2x+20=56
2(x+20)=56
2x+56=20
2x-20=56
If Pedro had made three more shots at yesterday's practice, he would've doubled Hector's shots. Pedro made 41 shots yesterday.

Which equation, when solved for x, gives the number of shots Hector made?
2x+3=41
2(x+3)=41
2x-3=41
3-2x=41
2(x-3)=41
Mike is planning a party with his friends. It costs $150 to rent the trampoline park overnight. His parents have agreed to chip in $50. Mike doesn't want people to have to pay more than $5 each to come.

Which inequality, when solved for x, gives the number of people that must participate so that no person pays more than $5?
5x+50 > 150
5x+50 < 150
5x - 50 < 150
50 - 5x >150
Melody has 100 feet of fencing. She wants to enclose a rectangular garden. For it to look good, the length should be five feet more than the width. She wants to keep some fence in reserve for later repairs.

Which inequality, when solved for x gives the possible widths for the garden?
2(x+5) < 100
2(x+5) > 100
2(2x+5) > 100
2(2x+5) < 100