Solving and Writing Equations and Inequalities Review

Which choice describes the step needed to isolate the variable?

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

• t - 9 = 25

• t + 9 = 25

• 9t = 25

• t/9 = 25

Do you flip the sign?
-3x + 2  ≤  22

• YES

• NO

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

• 3h − 2 ≤ 14

• 3h + 2 ≤ 14

• 3h − 2 ≥ 14

• 3h + 2 ≥ 14

-5k + 10 = -2k - 14

• 8

• -8

• 2

• -2

Camie and Jorge each begin saving money for a new computer. Camie saves $5 per week plus $50 she receives for her birthday. Jorge saves $7 per week. Which of the following can be used to find w, the number of weeks until Jorge has saved at least the same amount as Camie?

• 7w = 5w+50

• 50+5w < 7w

• 5w+50 ≥ 7w

• 7w ≥ 5w+50

At one point during the summer, Marsha has read 500 pages of her summer reading assignment, and Jan has read 460 pages. Marsha reads 20 pages per week for the remainder of the summer, and Jan reads 30 pages per week for the remainder of the summer. How many weeks, w, will it take before the girls have read the same number of pages?

• 500+30w = 460+2w

• 30+500w = 20+460w

• 20+500w = 30+460w

• 500+20w = 460+30w

Solve for x.

3x+4 =2x-7

• x = 11

• x = -11

• x = 11/5

• x = 5/11

Solve the equation that is displayed in the model.

• -4

• -2

• 4

• 2

Write an inequality that matches the following word problem: Tess has 42 words of an essay typed and is typing about 1.3 words per second. Margo has 122 words of an essay typed and is erasing about 1.2 words per second. In how many seconds will the number of words in Tess’s essay exceed the number of words in Margo’s essay?

• 42 - 1.3x > 122 - 1.2x

• 42 + 1.3x > 122 - 1.2x

• 42 +1.2x < 122 - 1.3x

• 42 - 1.3x < 122 - 1.2x