Solving Equations and Word Problems

Match each equation to one of the tape diagrams.

• 4 + x = 12, 4x = 12

• 12 /4 = x, x - 12 = 4

• 12/x = 4, 12/x = 4

• 4/x = 12, 4x = 12

1. Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left. Select all the equations that represent this situation.

• 24/10 = x

• 24 + 10 = x

• 24-10 = x

• x + 10 = 24

• 10x = 24

Each crayon pack contains 60 crayons. Andre has 5 packs. How many crayons does Andre have? Select all the equations that describe the situation and then solve the problem.

• y = 60/5

• y = 5x60

• y/5 = 60

• 5y = 60

Find the product of: (20.2) (0.02)

• .00404

• .404

• 404

• 40.4

Which expressions are solutions to the equation 4/5 x = 15. Select all that apply.

• 15/ 4/5

• 15/ 5/4

• 15 ( 5/4)

• 15 (4/5)

Triangle B has a base of 11 inches and a corresponding height of 7 inches. Triangle N has a base of 16 inches and a corresponding height of 4 inches. Which triangle has a greater area? Show your reasoning.

• B

• N

You had $50. You spent 30% of the money on clothes, 20% on food, and the rest on a gift for your mother. How much money was spent on a gift for your mother? Show your work and how you figured it out.

• clothes = .3 x 50 = 15

  food = .2 x 50 = 10

  50 - 15 - 10 = 15

  $25

• clothes = .3 x 50 = 15

  food = .2 x 50 = 10

  50 - 15 + 10 = 25

  $25

• clothes = .2 x 50 = 10

  food = .3 x 50 = 15

  50 + 10 + 15 = 75

  $75

For the equation 2n-3 = 7, solve this algebraically.

• 2n - 3 = 7

  2n = 10

  n = 5

• 2n - 3 = 7

  2n = 4

  n = 2

• 2n - 3 = 7

  2n = 12

  n = 6

• 2n - 3 = 7

  2n = 10

  n = 20

Which of these is the solution to the equation 1/8 = 2/5 x?

• 2/40

• 5/16

• 11/40

• 17/40

80% of x is equal to 100. Write an equation that shows the relationship between 80%, x, and 100. Then find x.

• 80/100x = 100

  x = 10000/80 = 12.5

• .8x = 100

  x = 100x80= 8000

• 80/100x = 100

  x = 100/80 = 125

• 80x = 100

  x = 100/80 = 1.25