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Quiz 1.2 - Inequalities and Words

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Last updated almost 4 years ago
15 questions
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Question 1
1.

Match the representations with the appropriate vocabulary

  • closed circle, shaded on the left
  • <
  • <
  • open circle shaded on the right
  • open circle, shaded on the left
  • >
  • closed circle, shaded on the right
  • >
  • Greater than
  • Greater than or equal to
  • Less than
  • Less than or equal to
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.

Which of the following values of x satisfy the following inequality?

3(5 - x) < 30

Check all that apply.

Question 10
10.

Which of the following values of x satisfy the following inequality?

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

Check all that apply.

Question 11
11.

Match the phrases with the corresponding mathematical expressions.

Draggable itemarrow_right_altCorresponding Item
half a number
arrow_right_alt
2x
two more than a number
arrow_right_alt
x/2
two less than a number
arrow_right_alt
x-2
the sum of half a number and two
arrow_right_alt
x+2
twice a number
arrow_right_alt
\frac{x+2}{2}
half the sum of a number and two
arrow_right_alt
\frac{x}{2}+2
Question 12
12.

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?

Question 13
13.

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?

Question 14
14.

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?

Question 15
15.

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?