Algebra 1 Linear Inequalities Quiz – Free PDF

Contents

This algebra 1 linear inequalities quiz asks 10 multiple-choice questions on linear and compound inequalities, and each answer comes with a short explanation.

Answer these 10 multiple-choice questions on linear and compound inequalities. Each question has exactly one correct answer. Work the problem on paper first, then choose, and read the explanation for any miss.

Algebra 1Common Core: A-REI.B.3 · A-CED.A.1 · A-CED.A.3

🎯 Linear and Compound Inequalities – Algebra 1 math quiz

Score: 0 / 10

Answered: 0 / 10

Question 1

What is the solution of $-2x+5>13$?

A $x>-4$

B $x< 4$

C $x>4$

D $x<-4$

Question 2

Which inequality matches the graph?

Graph of $x\ge3$.

A $x>3$

B $x\ge3$

C $x\le3$

D $x< 3$

Question 3

What is the solution of $3(x-2)\le2x+1$?

A $x\le7$

B $x\ge7$

C $x\le-5$

D $x\le1.4$

Question 4

Which is the interval notation for $x\ge-4$?

A [-4, ∞)

B (-4, ∞)

C (-∞, -4]

D (-∞, -4)

Question 5

Which inequality matches the graph?

Graph of $-1< x\le 4$.

A $-1\le x< 4$

B $-1< x\le4$

C $-1< x< 4$

D $x<-1\text{ or }x\ge4$

Question 6

What is the solution of $2\le3x-4< 11$?

A $2< x\le5$

B $6\le x< 15$

C $2\le x< 5$

D $\frac{2}{3}\le x<\frac{11}{3}$

Question 7

What is the solution of $x-3<-2\text{ or }2x\ge10$?

A $x<-5\text{ or }x\ge5$

B $x\le1\text{ or }x>5$

C $1< x< 5$

D $x< 1\text{ or }x\ge5$

Question 8

Maya has $\$30$. A sandwich costs $\$6$ and each drink costs $\$1.75$. What is the greatest whole number of drinks she can buy with the sandwich?

The budget covers the sandwich and the drinks.

A 13 drinks

B 14 drinks

C 17 drinks

D 24 drinks

Question 9

Which value is a solution of $-3x+1>10$?

A $x=-3$

B $x=0$

C $x=-4$

D $x=4$

Question 10

What is the solution of $2(x+4)>2x+3$?

A No solution

B $x>2.5$

C All real numbers

D $x< 2.5$

🎉 Quiz complete!

0 / 10

How does this quiz work?

Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

What should you review before the quiz?

Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

Remember:

Standards A-REI.B.3, A-CED.A.1 and A-CED.A.3 cover solving, writing and modeling with linear inequalities.
Reverse the inequality sign when multiplying or dividing both sides by a negative number.
Open circle or parenthesis excludes an endpoint; closed circle or bracket includes it.
And means the overlap of the two solution sets; or means their union.
In context, check whether the solution must be a whole number.