Question

1. marion is 3 years more than 5 times as old as paula. if p represents paula’s age, which expression represents marion’s age?

a. 3p + 5
b. 3p − 5
c. 5p + 3
d. 5p − 3

1. which expression represents “add 7 and a number n, then multiply by 8 cubed”?

a. $8^3 \times (7 + n)$
b. $8^3 + 7n$
c. $8^3 + 7 + n$
d. $8^3 \times 7n$

1. oscar bought n ride tickets at the carnival. esther bought 4 times as many ride tickets as oscar. which expression represents the total number of ride tickets that oscar and esther bought?

a. 4n + 4n
b. n + 4n
c. n + 4
d. 4n

Explanation:

Question 4

Step1: Analyze "5 times Paula's age"

Paula's age is \( p \), so 5 times Paula's age is \( 5p \).

Step2: Analyze "3 years more than that"

Adding 3 to \( 5p \) gives \( 5p + 3 \).

Step1: Analyze "add 7 and a number \( n \)"

This gives \( 7 + n \).

Step2: Analyze "multiply by 8 cubed"

8 cubed is \( 8^3 \), so multiplying \( 8^3 \) by \( (7 + n) \) gives \( 8^3\times(7 + n) \).

Step1: Find Esther's tickets

Oscar has \( n \) tickets, Esther has 4 times as many, so Esther has \( 4n \) tickets.

Step2: Find total tickets

Total tickets is Oscar's tickets plus Esther's tickets, so \( n + 4n \).

Answer:

C. \( 5p + 3 \)

Question 5