Writing Equations and Inequalities

Carmen drives 4 kilometers every day. She drives 44 kilometers total. Which of the following equations can be used to solve for x, the number of days she drove?

• 4 + x = 44

• 4x = 44

• 4 – x = 44

• x/4 = 44

Louis watches 3 television shows each week. Which number line best represents the number of weeks it will take him to watch at most 42 television shows?

• A

• B

• C

• D

Kevin had 18 pieces of candy. After he gave some to his friend Chad, Kevin had 10 pieces left. Which equation below can be used to show p, the number of pieces of candy Kevin gave to Chad?

• p + 10 = 18

• 10 - p = 18

• 10p = 18

• p/10 = 18

Which number line represents the solution 18 < 3x?

• F

• G

• H

• J

Rose has $500 in her bank account. She wants to spend part of this money on a skateboard. She wants to have more than $100 left in her account after buying the skateboard. The inequality shown can be used to find m, the amount of money in dollars that Rose can spend on the skateboard. 500 > m + 100 Which inequality represents all the possible values of m?

• m < 400

• m > 400

• m > 600

• m < 600

Kayla bought 16 bagels. She paid a total of $20. Which equation can be used to determine the cost, c, of each bagel?

• 16 + c = 20

• 16 - c = 20

• 16c = 20

• c/16 = 20

An inequality is shown below.

14 ≤ -3x

Which number line best represents the solution to the inequality?

• A

• B

• C

• D

Which situation matches the equation: $25x = $200?

• Tyler bought x video games for $25 each. Find the number of video games Tyler bought if he spent $200.

• Lulu had 25 magazines. She bought x more. How many did she buy if she now has 200 total?

The vet said Ray’s puppy will gain 2 pounds each week. Which inequality represents the number of weeks, w, it will take Ray’s puppy to gain at least 11 pounds?

• w ≥ 5.5

• w ≤ 5.5

• w ≤ 22

• w ≥ 22

Davon went to six flags with $32. Which number line best represents the amount of change he will take home if he spends $27 on snacks?

• A

• B

• C

• D