Solving & Graphing Multi-Step Inequalities Challenge

Solving & Graphing Multi-Step Inequalities Challenge

8th Grade

10 Qs

quiz-placeholder

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Solving & Graphing Multi-Step Inequalities Challenge

Solving & Graphing Multi-Step Inequalities Challenge

Assessment

Quiz

English, Mathematics

8th Grade

Hard

Created by

Anthony Clark

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A store sells notebooks for $2 each and pens for $1 each. If you want to spend no more than $20 on notebooks and pens combined, write and solve the inequality for the number of notebooks (n) and pens (p) you can buy. Graph the solution on a number line.

The maximum number of pens is 20, regardless of notebooks.

You can only buy 5 notebooks and no pens.

The number of notebooks (n) can be from 0 to 10, and for each n, the number of pens (p) can be from 0 to (20 - 2n).

You can buy up to 15 notebooks and 5 pens.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Maria has $50 to spend on books and magazines. If each book costs $8 and each magazine costs $5, write an inequality to represent the maximum number of books and magazines she can buy. Solve the inequality and graph the solution on a number line.

8x + 5y = 50

The maximum number of books and magazines Maria can buy is represented by the inequality 8x + 5y ≤ 50, with integer solutions for (x, y) being (0,10), (1,9), (2,8), (3,7), (4,6), (5,5), (6,2).

x + y ≤ 10

8x + 5y < 50

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A gym charges a $30 membership fee plus $5 per class. If you want to spend no more than $100 in a month, write and solve the inequality for the number of classes (c) you can attend. Graph the solution on a number line.

c ≤ 12

c ≤ 14

c ≤ 10

c ≤ 20

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer has a budget of $200 to buy seeds and fertilizer. If each bag of seeds costs $15 and each bag of fertilizer costs $10, write an inequality to represent the maximum number of bags of seeds (s) and fertilizer (f) he can buy. Solve the inequality and graph the solution on a number line.

15s + 10f ≤ 200; s ≤ 13, f ≤ 20.

20s + 5f ≤ 200; s ≤ 10, f ≤ 40.

5s + 20f ≤ 200; s ≤ 30, f ≤ 5.

10s + 15f ≤ 200; s ≤ 20, f ≤ 10.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A concert ticket costs $50, and you want to buy tickets for your friends without spending more than $300. Write and solve the inequality for the number of tickets (t) you can buy. Graph the solution on a number line.

t = 5

t < 6

t >= 7

t <= 6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is planning a field trip and has a budget of $400. If each bus costs $100 and each ticket costs $20, write an inequality to represent the maximum number of buses (b) and tickets (t) they can purchase. Solve the inequality and graph the solution on a number line.

100b + 20t ≤ 400, where 0 ≤ b ≤ 4 and t ≤ 20 - 5b.

100b + 30t ≤ 400

50b + 10t ≤ 400

200b + 20t ≤ 400

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

You are saving money for a new video game that costs $60. If you save $5 a week, write an inequality to determine how many weeks (w) it will take to save enough money. Solve the inequality and graph the solution on a number line.

w < 12

w > 15

w <= 10

w >= 12

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