Question

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1. 0.8x + 5.4 for x = −2
2. 5/6 x − 20 for x = 24
3. 0.2(2b − 15c)
4. 6x − 4(x − 6) − x
5. 8.7 + 3.7y − 0.5(16y − 9)
6. Reese is selling lemonade at the parade. He gets to keep 30% of the money he collects. A large lemonade is $7.00 and a small lemonade is $2.00. The expression represents 30% of the money he collects.

0.30(7l + 2s)

Use the Distributive Property to expand the expression. The simplified expression is ...?

Answer 1

1. 0.8x + 5.4

→ 0.8(-2) + 5.4 {x = -2}

→ -1.6 + 5.4 = 3.8

2. 5/6 x − 20

→ {(5/6) × (24)} - 20 {x = 24}

→ (5 × 4) - 20

→ 20 - 20 = 0

3. 0.2(2b − 15c)

→ 0.4b - 3c

4. 6x − 4(x − 6) − x

→ 6x - 4x + 24 - x

→ 6x - 5x + 24

→ x + 24

5. 8.7 + 3.7y − 0.5(16y − 9)

→ 8.7 + 3.7y - 8y + 4.5

→ 13.2 - 4.3y

6. 0.30(7l + 2s)

→ (0.30 × 7l) + (0.30 × 2s)