Inequalities Big Ideas

Which is a solution to the inequality below?

x > 6

• -6

• 6

• 7

• -7

Tito opened a savings account with $100. He saves $25 per month. Which of the inequalities below can be used to find the least number of months it will take Tito to have $700 saved?

• 100 + 25x ≥ 700

• 25 + 100x ≥ 700

• 700 + 25x ≥ 100

• answer is not given

What is a value of y that satisfies the inequality below?

(Y/2) > 9

• 9

• 18

• 19

• 8

Ed earns a $100 commission on each computer he sells plus a base salary of $50,000. His total income last year was $75,000. Which equation can be used to find how many computers Ed sold last year?

• 50,000 + 100x = 75,000

• answer is NOT given

• 50,000 − 100x = 75,000

• 75,000 + 100x = 50,000

Demarcus has at least $8 more than his older sister. His older sister has $4. Which of the following inequalities could be used to find how much money, m, Demarcus has?

• m > 8 + 4

• 8 − m < 4

• answer is NOT given

• 8m > 4

There are 60 members in the school glee club. The glee club needs to raise at least $5,000 for a trip to a national competition. The school agreed to contribute $1,000 toward the trip. Which of the inequalities below shows the amount of money that each glee club member needs to raise to help pay for the trip?

• 60x + 1,000 ≥ 5,000

• answer is NOT given

• 60x + 5,000 ≥ 1,000

• 1,000x + 60 ≥ 5,000

Which of the following is the solution to the inequality below?

2x - 4 < 12

• x < 8

• x < 16

• x < 12

• x < 9

What is the value of x that satisfies the inequality below?

7x + 28 > −14

• x > -6

• x < -6

• x < -2

• x > -2

Which of the following values does NOT satisfy the inequality x − 2 ≤ 3?

• 3

• 5

• 7

• 0

For which of the following inequalities is x ≥ 4 a solution?

• x + 3 ≥ 1

• 3x ≥ 1

• x − 3 ≥ 1

• x − 8 ≥ 1