5.4B - Solving Multi-Step Equations

5.4B - Solving Multi-Step Equations

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Multiple Choice

Angela, Trent, and Myesha rode their bikes last month. They each kept a log on the total number of miles they rode.

*Angela rode her bike 31 miles.

*Trent rode his bike 5 more miles than Angela.

*Myesha rode her bike 2 times as far as Trent.

Which equation represents a, the distance in miles Myesha rode her bike?

• A. (31 + 5) ÷ 2 = a

• B. (31 - 5) × 2 = a

• C. (31 + 5) × 2 = a

• D. (31 - 5) ÷ 2 = a

LESSON OBJECTIVE

(5.4B)  I will solve multi-step problems involving the four operations with whole numbers using equations with a variable (letter standing for the unknown quantity).

Fill in the Blanks

Lara made a recipe for soup that usually makes 84 ounces, but she decided to split the recipe in half. Lara added an extra 3 ounces of milk to the soup before she ate it. The equation shown can be used to determine s, the amount of soup, in ounces, that Lara made.

s = (84 ÷ 2) + 3

How much soup, in ounces, is represented by s?

Fill in the Blanks

Ms. Torres has $200 to buy school uniforms for her two daughters.

School shirts cost $10 each. Uniform pants cost twice as much as shirts. The girls need 10 new shirts and 4 new pairs of pants in all.

The equation shown can be used to find m, the amount of money Ms. Torres will have after purchasing the clothing.

m = 200 - [(10 x 10) + (4 x 20)]

How much money will Ms. Torres have after purchasing the clothing?

Fill in the Blanks

A florist is creating centerpieces for a party. Each centerpiece contains 10 roses and 8 lilies. The florist needs to make 24 centerpieces in all. The florist used the equation shown to find f, the number of flowers needed for all the centerpieces.

f = 24(10 + 8)

How many total flowers will the florist need?