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Framing/Writing Linear Inequalities in Two Variables

Authored by Anthony Clark

Mathematics

9th Grade

Used 2+ times

Framing/Writing Linear Inequalities in Two Variables
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11 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Directions - For the scenario, identify the key components, then create an inequality to represent the situation. 

​To grow his ranch, a rancher is purchasing some bulls, which cost $3,200 apiece, and some cows, which cost $640 apiece. He doesn't want to spend more than $28,000 at this time.

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

​x = the number of bulls

​y = the number of cows

Which inequality written in standard form represents this scenario?

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Justin charges $11 to mow a small lawn and $26 to mow a large lawn. He would like to make at least $130. Write an inequality that describes the situation. Let x = # of small lawns mowed and Let y = # of large lawns mowed

11x + 26y ≥ 130

11x + 26y > 130

11x + 26y ≤ 130

11x + 26y < 130

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Harrison's crew team needs to raise at least $3,000 for their trip to the state championships. A sponsor generously donated hot dogs and cans of soda for the team to sell at each school sporting event. The crew team members will sell hot dogs for $2 each and soda for $1 each. What inequality can be used to calculate how many hot dogs, x, and sodas, y, Harrison's team needs to sell to have enough money for the trip?

x + y ≥ 3000

2x + y ≤ 3000

2x - y ≥ 3000

2x + y ≥ 3000

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In order to make some extra money, Justin is mowing lawns. He charges $11 to mow a small lawn and $26 to mow a large lawn. He would like to make at least $130. Write an inequality that describes the situation. Let x = # of small lawns mowed Let y = # of large lawns mowed

11x + 26y ≥ 130

11x + 26y ≤ 130

11x + 26y > 130

11x + 26y < 130

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week. It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents the amount of time available?

2x + 3y ≤ 18

x + y ≤ 6

x + y ≤ 9

3x + 2y > 18

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following mathematical sentences illustrates a linear inequality in two variables?

The value of twice a number x added by nine is less than 26.

Thrice a number m is twice another number n.

A number n multiplied by 8 results to twice a number p.

Four times a number s subtracted from a number t is at most 33.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than RM81. An order of breadsticks costs RM7 and a pizza costs RM13.

7x + 13y < 81

7x + 13y ≤ 81

7x + 13y ≥ 81

7x + 13y > 81

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