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

1

Match the descriptions with the appropriate symbol.

1

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.

1

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.

1

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.

1

Solve the compound inequality.
|3x-6|<15
Enter your answer in "#<x<#" format, no spaces. Note that typing "<=" creates a < sign.

1

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.

1

Solve the compound inequality.
|x+6|>5
Use "x># or x<#" format, with exactly one space before and after the "or".

1

Solve the compound inequality.
-\frac{1}{2}|x+3|<-4
Use "x># or x<#" format, with exactly one space before and after the "or".

1

Which of the following values of x satisfy the following inequality?
2(5 - x) < 20
Check all that apply.

1

Which of the following values of x satisfy the following inequality?
|x+5| > 3
Check all that apply.

1

Which of the following values of x satisfy the following inequality?
|x+5| < 2
Check all that apply.

1

Match the phrases with the corresponding mathematical expressions.

1

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.

1

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.

1

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 "=".

1

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 "=".

1

Match the situations with their descriptions

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

Match the descriptions with the appropriate symbol.

Solve the inequality.2x - 6 > 3x - 12Enter your answer in "x>#" format, no spaces. The answer is not necessarily the ">" symbol. Note that typing "<=" creates a < sign.

Solve the inequality.4x - 5 > x - 11Enter your answer in "x>#" format, no spaces. The answer is not necessarily the ">" symbol. Note that typing "<=" creates a < sign.

Solve the inequality.6 - 2(x+1) < 2xEnter your answer in "x>#" format, no spaces. The answer is not necessarily the ">" symbol. Note that typing "<=" creates a < sign.

Solve the compound inequality.|3x-6|<15Enter your answer in "#<x<#" format, no spaces. Note that typing "<=" creates a < sign.

Solve the compound inequality.8-|5x-7|>0Enter your answer in "#<x<#" format, no spaces. Note that typing "<=" creates a < sign. Use fractions, not decimals.

Solve the compound inequality.|x+6|>5Use "x># or x<#" format, with exactly one space before and after the "or".

Solve the compound inequality.-\frac{1}{2}|x+3|<-4Use "x># or x<#" format, with exactly one space before and after the "or".

Which of the following values of x satisfy the following inequality?2(5 - x) < 20Check all that apply.

Which of the following values of x satisfy the following inequality?|x+5| > 3Check all that apply.

Which of the following values of x satisfy the following inequality?|x+5| < 2Check all that apply.

Match the phrases with the corresponding mathematical expressions.

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.

Match the situations with their descriptions

Match the descriptions with the appropriate symbol.

Solve the inequality.2x - 6 > 3x - 12Enter your answer in "x>#" format, no spaces. The answer is not necessarily the ">" symbol. Note that typing "<=" creates a < sign.

Solve the inequality.4x - 5 > x - 11Enter your answer in "x>#" format, no spaces. The answer is not necessarily the ">" symbol. Note that typing "<=" creates a < sign.

Solve the inequality.6 - 2(x+1) < 2xEnter your answer in "x>#" format, no spaces. The answer is not necessarily the ">" symbol. Note that typing "<=" creates a < sign.

Solve the compound inequality.|3x-6|<15Enter your answer in "#<x<#" format, no spaces. Note that typing "<=" creates a < sign.

Solve the compound inequality.8-|5x-7|>0Enter your answer in "#<x<#" format, no spaces. Note that typing "<=" creates a < sign. Use fractions, not decimals.

Solve the compound inequality.|x+6|>5Use "x># or x<#" format, with exactly one space before and after the "or".

Solve the compound inequality.-\frac{1}{2}|x+3|<-4Use "x># or x<#" format, with exactly one space before and after the "or".

Which of the following values of x satisfy the following inequality?2(5 - x) < 20Check all that apply.

Which of the following values of x satisfy the following inequality?|x+5| > 3Check all that apply.

Which of the following values of x satisfy the following inequality?|x+5| < 2Check all that apply.

Match the phrases with the corresponding mathematical expressions.

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.

Match the situations with their descriptions

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.

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.

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.

Solve the compound inequality.
|3x-6|<15
Enter your answer in "#<x<#" format, no spaces. Note that typing "<=" creates a < sign.

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.

Solve the compound inequality.
|x+6|>5
Use "x># or x<#" format, with exactly one space before and after the "or".

Solve the compound inequality.
-\frac{1}{2}|x+3|<-4
Use "x># or x<#" format, with exactly one space before and after the "or".

Which of the following values of x satisfy the following inequality?
2(5 - x) < 20
Check all that apply.

Which of the following values of x satisfy the following inequality?
|x+5| > 3
Check all that apply.

Which of the following values of x satisfy the following inequality?
|x+5| < 2
Check all that apply.

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.

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.

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.

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.

Solve the compound inequality.
|3x-6|<15
Enter your answer in "#<x<#" format, no spaces. Note that typing "<=" creates a < sign.

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.

Solve the compound inequality.
|x+6|>5
Use "x># or x<#" format, with exactly one space before and after the "or".

Solve the compound inequality.
-\frac{1}{2}|x+3|<-4
Use "x># or x<#" format, with exactly one space before and after the "or".

Which of the following values of x satisfy the following inequality?
2(5 - x) < 20
Check all that apply.

Which of the following values of x satisfy the following inequality?
|x+5| > 3
Check all that apply.

Which of the following values of x satisfy the following inequality?
|x+5| < 2
Check all that apply.

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.