Inequalities Quiz

For each problem, define a variable and set up an inequality, then solve. "The difference between a number and 7 is greater than -23."

• x - 7 > -23

• x + 7 > -23

• x - 7 < -23

• x + 7 < -23

For each problem, define a variable and set up an inequality, then solve. "Eight more than the quotient of a number and -5 is less than or equal to 6."

• x/(-5) + 8 ≤ 6

• x/5 + 8 ≤ 6

• x/(-5) + 8 ≥ 6

• x/5 + 8 ≥ 6

For each problem, define a variable and set up an inequality, then solve. "Two-thirds of a number plus 17 is at least 29."

For each problem, define a variable and set up an inequality, then solve. "25 subtracted from the product of a number and 7 is less than -39."

• 7x - 25 < -39

• 7x + 25 < -39

• 25 - 7x < -39

• 7x - 25 > -39

For each problem, define a variable and set up an inequality, then solve. "Ten minus three times a number is no more than 61."

• 3x - 10 ≤ 61

• 10 - 3x ≤ 61

• 3x + 10 ≤ 61

• 10 + 3x ≤ 61

For each problem, define a variable and set up an inequality, then solve. "The sum of a number and 9, divided by 4, is greater than or equal to -2."

• x + 9 ≥ -8

• x + 9 ≤ -8

• x + 9 ≥ -2

• x + 9 ≤ -2

For each problem, define a variable and set up an inequality, then solve. "-5 increased by one-half of a number is a maximum of 3."

• x/2 - 5 ≤ 3

• x/2 + 5 ≤ 3

• -5 + x/2 ≤ 3

• -5 + x/2 ≥ 3

For each problem, define a variable and set up an inequality, then solve. "14 less than twice a number is at most 50."

• 2x - 14 ≤ 50

• 2x + 14 ≤ 50

• 2x - 14 ≥ 50

• 2x + 14 ≥ 50

Sally is going furniture shopping using her credit card. If her credit card has a limit of $2,000 and she is currently holding a balance of $763, how much can she afford to spend on furniture?

Connor is taking a multiple-choice test in which each question is worth 4 points. How many questions must he get correct to score at least 90 points?

• at least 20

• at least 22

• at least 23

• at least 25