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P1.2: Inequalities and Words (1.5-day)

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

Match the descriptions with the appropriate symbol.

  • less than or equal to a number
  • a open circle at a number, shaded on the left
  • a closed circle at a number, shaded on the right
  • greater than a number
  • greater than or equal to a number
  • no more than a number
  • a open circle at a number, shaded on the right
  • a closed circle at a number, shaded on the left
  • at least a number
  • less than a number
  • > x
  • < x
  • > x
  • < x
Question 2
2.

Solve the inequality.

2x - 6 > 3x - 12

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.

4x - 5 > x - 11

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) < 2x

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|<15

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

Question 6
6.

Solve the compound inequality.

8-|5x-7|>0

Enter your answer in "#<x<#" format, no spaces. Note that typing "<=" creates a < sign. Use fractions, not decimals.

Question 7
7.

Solve the compound inequality.

|x+6|>5

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

Question 8
8.

Solve the compound inequality.

-\frac{1}{2}|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?

2(5 - x) < 20

Check all that apply.

Question 10
10.

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

|x+5| > 3

Check all that apply.

Question 11
11.

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

|x+5| < 2

Check all that apply.

Question 12
12.

Match the phrases with the corresponding mathematical expressions.

Draggable itemarrow_right_altCorresponding Item
half a number
arrow_right_alt
2x
twice a number
arrow_right_alt
x/2
twice the sum of a number and two
arrow_right_alt
x-2
a number less than 2
arrow_right_alt
x<2
two more than a number
arrow_right_alt
x+2
two less than a number
arrow_right_alt
2(x+2)
the sum of twice a number and two
arrow_right_alt
2x+2
Question 13
13.

A phone plan has a $50 signup fee. For each gig of mobile data, the user must pay $5.

A user paid $85 total for her phone plan.

Write an equation which, when solved for x, gives the number of gigs she signed up for. Use the numbers given in the problem, no spaces or "$". Put the x on the left side of the equation.

Question 14
14.

Al weighs three pounds less than half his dad. Al weighs 60 lbs.

Write an equation that, when solved for x, gives Al's Dad's weight. Use the numbers given in the problem, no spaces. Put the x on the left side of the equation.

Question 15
15.

A rocket can carry up to 300 ounces of food-related load. Protein packs weigh 32 oz each. The packaging requires a 4 oz pair of scissors to open.

Write an inequality that, when solved for x, gives the amount of protein packs that can be loaded on the rocket. Use the numbers given in the problem, no spaces or "oz". Put the x on the left side of the equation. Note: to type "<" or ">", simply type "<" or ">", followed by "=".

Question 16
16.

Tony wants to paint 1000 sq ft. He already has enough paint to cover 200 sq ft. Each can he buys will cover 500 sq ft.

Write an inequality that, when solved for x, gives the number of cans he can buy to have enough paint for his goal. Use the numbers given in the problem, no spaces or "oz". Put the x on the left side of the equation. Note: to type "<" or ">", simply type "<" or ">", followed by "=".

Question 17
17.

Match the situations with their descriptions

Draggable itemarrow_right_altCorresponding Item
linear inequality
arrow_right_alt
split into two, max two solutions
absolute value inequality
arrow_right_alt
split into two, be careful to flip the symbol
absolute value equation
arrow_right_alt
stays one, max one solution
linear equation
arrow_right_alt
stays one, be careful to flip the symbol