Solving Word Problems with Linear Inequalities

Which symbol would you use for the phrase 'at least'?

• Less than

• Less than or equal to

• Greater than or equal to

• Greater than

If someone says 'bring fewer than 20 dollars', which inequality symbol should you use?

• Less than or equal to

• Less than

• Greater than or equal to

• Greater than

Andrea has $53.50 and wants to buy shirts costing $14.95 each. How many shirts can she buy?

• 3

• 2

• 4

• 5

What is the inequality for the total cost of shirts if Andrea has $53.50?

• 14.95x > 53.50

• 14.95x < 53.50

• 14.95x ≥ 53.50

• 14.95x ≤ 53.50

In Example 2, what is the greatest possible value of the number if 3 times the number increased by 8 is at most 40?

• 10

• 12

• 14

• 16

What inequality represents '3 times a number increased by 8 is at most 40'?

• 3x + 8 ≤ 40

• 3x + 8 > 40

• 3x + 8 < 40

• 3x + 8 ≥ 40

If the perimeter of a rectangle is at most 104 meters, and the length is 5x - 8 and the width is x, what is the greatest possible width?

• 10 meters

• 8 meters

• 11 meters

• 9 meters

What inequality represents the perimeter of a rectangle being at most 104 meters?

• 2(5x - 8 + x) ≤ 104

• 2(5x - 8 + x) > 104

• 2(5x - 8 + x) < 104

• 2(5x - 8 + x) ≥ 104

What are the smallest possible consecutive even numbers if their sum is greater than 98 decreased by twice the larger number?

• 24 and 26

• 20 and 22

• 22 and 24

• 26 and 28

What inequality represents 'the sum of two consecutive even numbers is greater than 98 decreased by twice the larger number'?

• x + (x + 2) ≤ 98 - 2(x + 2)

• x + (x + 2) < 98 - 2(x + 2)

• x + (x + 2) > 98 - 2(x + 2)

• x + (x + 2) ≥ 98 - 2(x + 2)