Setting Up Inequalities

Practice Questions

Algebra II › Setting Up Inequalities

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1

Twice a number, , is less than twice the quantity of subtracted from 4. Which of the following inequalities represents this statement?

2

Write the following statements as a set of inequalities:

  • The total number of shirts and pants I bought did not exceed 20.
  • The cost of the total number of pants and shirts I bought was more than 50 dollars.

Where, s is the number of shirts, p is the number of pants and c, is the total cost.

3

Set up the inequality expressed in the word problem below:

Elise went to the grocery store, and bought a bunch of sweet potatoes and onions. She knows she has less than 12 altogether. What is the inequality that expresses how many sweet potatoes (x) and onions (y) she could have bought?

4

Set up the inequality: Four times the quantity of two less than three times a number is at most ten.

5

Set up the inequality: Twice the quantity of three less than twice a number must be more than ten.

6

Set up the inequality: Six less than twice a number squared must exceed eleven.

7

Set up the inequality: Five less than four times a number squared is at most seven.

8

Set up the inequality: Four less than twice a number is less than six times another number.

9

Set up the following inequality: Four less than three times a number squared is at least six.

10

Set up the inequality:

Four times the quantity of seven less than three times a number cannot exceed eight.

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