Question

1. rich earns $35 per week mowing lawns in his neighborhood. which expression can be used to show how much money he earns in 8 weeks?

a ((8 + 30) + (8 + 5))
b ((8×30)×(8×5))
c ((8 + 30)×(8 + 5))
d ((8×30)+(8×5))

1. evaluate the numerical expression.

((57 + 4)×4 - 16 =)

1. valerie earns $24 per hour. which expression can be used to show how much money she earns in 7 hours?

a ((7 + 20)+(7 + 4))
b ((7×20)+(7×4))
c ((7 + 20)×(7 + 4))
d ((7×20)×(7×4))

1. kara followed these steps to evaluate the expression (22 + (30 - 4) ÷ 2).

(30 - 4 = 26)
(26 + 22 = 48)
(48 ÷ 2 = 24)
george looks at kara’s work and says she made a mistake. he says she should have divided by 2 before she added.
part a
which student is correct?
part b
evaluate the expression.

Explanation:

Problem 3:

Step1: Identify total earnings formula
Total = Rate × Time
Step2: Match with distributive property
$8×35 = 8×(30+5) = (8×30)+(8×5)$

Problem 4:

Step1: Calculate inside parentheses
$57+4=61$
Step2: Multiply then subtract
$61×4=244$; $244-16=228$

Problem 5:

Step1: Earnings formula
Earnings = $24×7$
Step2: Apply distributive property
$24×7=(20+4)×7=(7×20)+(7×4)$

Problem 6 Part A:

Step1: Recall order of operations
Parentheses → Division → Addition
Step2: Identify Kara’s mistake
She added before dividing

Problem 6 Part B:

Step1: Calculate inside parentheses
$30-4=26$
Step2: Divide then add
$26÷2=13$; $22+13=35$

Answer:

D. (8 × 30) + (8 × 5)
228
B. (7 × 20) + (7 × 4)
George
35