Question

name
practice
for exercises 1-4, find the product.

1. $-8(7)$
2. $5(-13)$
3. $-3.4(3)$
4. $4.8(-6)$

for exercises 5-8, answer the question.

1. every month, karima pays $55 that she owes on a loan. write an expression that represents the change in the amount she owes after 4 months. what is the change in the amount she owes?
2. by joining a club at a movie theater, the cost of each movie ticket purchased is decreased by $1.50. write an expression that represents the amount the ticket price is decreased when purchasing 7 movie tickets. how much is the ticket price decreased when purchasing 7 tickets?
3. a company implements new policies to reduce waste by 52 pounds each month. write an expression that represents the change in the amount of waste after 12 months. what is the change in the amount of waste after 12 months?
4. brad saves $0.29 on each bottle of juice he buys by switching to a different brand of juice. write an expression that represents the amount brad saves after buying 9 bottles of juice. how much did brad save when he bought 9 bottles of juice?

Explanation:

Step1: Multiply negative and positive

$-8 \times 7 = -56$

Step2: Multiply positive and negative

$5 \times (-13) = -65$

Step3: Multiply negative and positive

$-3.4 \times 3 = -10.2$

Step4: Multiply positive and negative

$4.8 \times (-6) = -28.8$

Step5: Define monthly change, scale to 4 months

Expression: $-55 \times 4$
$-55 \times 4 = -220$

Step6: Define per-ticket decrease, scale to 7 tickets

Expression: $-1.50 \times 7$
$-1.50 \times 7 = -10.50$

Step7: Define monthly waste change, scale to 12 months

Expression: $-52 \times 12$
$-52 \times 12 = -624$

Step8: Define per-bottle savings, scale to 9 bottles

Expression: $0.29 \times 9$
$0.29 \times 9 = 2.61$

Answer:

1. $-56$
2. $-65$
3. $-10.2$
4. $-28.8$
5. Expression: $-55 \times 4$; Change: $\$-220$
6. Expression: $-1.50 \times 7$; Decrease: $\$-10.50$
7. Expression: $-52 \times 12$; Change: $-624$ pounds
8. Expression: $0.29 \times 9$; Savings: $\$2.61$