AnswersAdv. Algebra II S2 OriginalOperations on Rational and Irrational Numbers

Writing and Evaluating Expressions Answers

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A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is , where represents the number of parking spots in the first row. How many spots are in the parking lot if there are 32 parking spots in the first row?

Question illustration
A
79
B
88
C
111
D
129
2
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Kari bought 3 boxes of cookies to share with a book club. Each box contains 12 cookies. The expression represents the number of cookies that each person, p, can have if the cookies are divided equally. Which evaluations of the expression are correct? Select three options.

Question illustration
A
If , then each person would get 6 cookies, with 4 cookies left over.
Option A
B
If , then each person would get 5 cookies, with 1 cookie left over.
Option B
C
If , then each person would get 4 cookies, with 3 cookies left over.
Option C
D
If , then each person would get 3 cookies, with 6 cookies left over.
Option D
E
If , then each person would get 3 cookies, with 3 cookies left over.
Option E
3

An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for movie rentals?

Question illustration
A
2.95 x + 39.95
Option A
B
39.95 x + 2.95
Option B
C
2.95 x minus 39.95 (12)
Option C
D
2.95 x + 39.95 (12)
Option D
4

Suppose that partners equally share the profits from a sale of $3,600. Which algebraic expression represents this situation?

Question illustration
A
3600 + p
Option A
B
3600 minus p
Option B
C
3600 p
Option C
D
StartFraction 3600 over p EndFraction
Option D
6

This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber plants did he plant this year if last year he planted 12 plants?

A
6
B
9
C
10
D
12
7

Barry has 17 more than two-thirds of the number of cards in his brother’s baseball card collection. If x represents the number of baseball cards his brother has, which expression represents the number of baseball cards Barry has?

A
Two-thirds x minus 17
Option A
B
Two-thirds x + 17
Option B
C
17 x minus two-thirds
Option C
D
17 x + two-thirds
Option D
8

Manuel has 18 yards of fabric to make table runners. It takes of a yard to make each runner. The expression that represents the amount of fabric left after making t table runners is . Which are possible numbers of table runners that Manuel could make? Select three options.

Question illustration
A
20
B
22
C
24
D
26
E
28
9

A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcorn cost the team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15 players? Round to the nearest cent.

A
$34.05
B
$42.72
C
$7,661.25
D
$9,611.25
10

Sierra’s ice cream shop made $45 before she had to close early when the power went out. She realized she lost of a dollar each hour when the shop was closed. The expression that models this situation is . What was Sierra’s profit if the shop was closed for 6 hours?

Question illustration
A
$24
B
$36
C
$41
D
$49

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