P1.2: Inequalities and Words (1.5-day)
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Last updated almost 4 years ago
17 questions
1
Match the descriptions with the appropriate symbol.
Match the descriptions with the appropriate symbol.
- no more than a number
- less than or equal to a number
- less than a number
- a closed circle at a number, shaded on the left
- a open circle at a number, shaded on the right
- a open circle at a number, shaded on the left
- greater than a number
- at least a number
- a closed circle at a number, shaded on the right
- greater than or equal to a number
- > x
- < x
- > x
- < x
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.
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.
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.
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.
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.
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".
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".
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.
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.
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.
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.
Match the phrases with the corresponding mathematical expressions.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
the sum of twice a number and two | arrow_right_alt | 2x |
a number less than 2 | arrow_right_alt | x/2 |
twice a number | arrow_right_alt | x-2 |
two less than a number | arrow_right_alt | x<2 |
two more than a number | arrow_right_alt | x+2 |
twice the sum of a number and two | arrow_right_alt | 2(x+2) |
half a number | arrow_right_alt | 2x+2 |
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.
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.
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 "=".
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 "=".
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
Match the situations with their descriptions
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
absolute value equation | arrow_right_alt | split into two, max two solutions |
linear equation | arrow_right_alt | split into two, be careful to flip the symbol |
linear inequality | arrow_right_alt | stays one, max one solution |
absolute value inequality | arrow_right_alt | stays one, be careful to flip the symbol |