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Unit 2 Homework 10 - Application of Inequalities

Total questions: 5

Worksheet time: 3mins

Name
Class
Date
1.

How many miles should Marcus bike on each of the 5 remaining days this week?

a)

Variable: x (miles per day) Inequality: 25 + 5x ≥ 80 Solution: x ≥ 11

b)

Variable: x (miles per day) Inequality: 25 + 5x ≤ 80 Solution: x ≤ 11

c)

Variable: x (miles per day) Inequality: 25 + 5x ≥ 80 Solution: x ≥ 8

d)

Variable: x (miles per day) Inequality: 25 + 5x ≥ 80 Solution: x ≥ 5

2.

Jamal has 15.00tospendattheconcessionstand.Hebuysnachosfor15.00 to spend at the concession stand. He buys nachos for 7.50, and he wants to purchase some candy for $1.50 each. How many boxes of candy can Jamal purchase?

a)

Variable: x (number of boxes of candy) Inequality: 7.50 + 1.50x ≤ 15 Solution: x ≤ 5

b)

Variable: x (number of boxes of candy) Inequality: 7.50 + 1.50x ≤ 15 Solution: x ≤ 4

c)

Variable: x (number of boxes of candy) Inequality: 7.50 + 1.50x ≤ 15 Solution: x ≤ 6

d)

Variable: x (number of boxes of candy) Inequality: 7.50 + 1.50x ≤ 15 Solution: x ≤ 3

3.

Taylor has a 30.00giftcardthatshecanspendatthestore.Shehasalreadyboughta30.00 gift card that she can spend at the store. She has already bought a 9.00 picture frame, and she wants to buy $3.00 journals with the leftover money on the card. How many journals can she buy with her gift card?

a)

Variable: x (number of journals) Inequality: 9 + 3x ≤ 30 Solution: x ≤ 7

b)

Variable: y (number of journals) Inequality: 9 + 3y ≥ 30 Solution: y ≥ 7

c)

Variable: x (number of journals) Inequality: 9 + 3x = 30 Solution: x = 7

d)

Variable: x (number of journals) Inequality: 9 + 3x < 30 Solution: x < 7

4.

The length of a rectangle is eight more than twice its width. If the length is less than 34, then what is the width?

a)

Variable: x (width) Inequality: 2x + 8 < 34 Solution: x < 13

b)

Variable: y (width) Inequality: 2y + 8 < 34 Solution: y < 10

c)

Variable: w (width) Inequality: 2w + 8 < 34 Solution: w < 8

d)

Variable: z (width) Inequality: 2z + 8 < 34 Solution: z < 15

5.

How many more bars does he need to sell in order to win a prize?

a)

Variable: x (number of additional bars) Inequality: 40 + 2.5x > 175 Solution: x > 54

b)

Variable: x (number of additional bars) Inequality: 40 + 2.5x > 175 Solution: x > 40

c)

Variable: x (number of additional bars) Inequality: 40 + 2.5x > 175 Solution: x > 60

d)

Variable: x (number of additional bars) Inequality: 40 + 2.5x > 175 Solution: x > 35