Linear and Compound Inequalities: Algebra 1 Math Quiz – PDF Download

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

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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!

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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.

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Linear and Compound Inequalities: Algebra 1 Math Quiz – PDF Download

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