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

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

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.

Draggable itemarrow_right_altCorresponding Item
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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
absolute value equation
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split into two, max two solutions
linear equation
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split into two, be careful to flip the symbol
linear inequality
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Match the descriptions with the appropriate symbol.
at least a number
a closed circle at a number, shaded on the right
less than or equal to a number
a closed circle at a number, shaded on the left
a open circle at a number, shaded on the left
less than a number
greater than a number
no more than a number
a open circle at a number, shaded on the right
greater than or equal to a number
> x
< x
> x
< x
-15
10
-5
5
-10
-8
0
-2
2
8
-7
3
7
-3
0
Match the phrases with the corresponding mathematical expressions.
twice a number
2x
the sum of twice a number and two
x/2
twice the sum of a number and two
x-2
a number less than 2
x<2
two more than a number
x+2
two less than a number
2(x+2)
half a number
2x+2
stays one, max one solution
absolute value inequality
stays one, be careful to flip the symbol