Two-Step Inequalities: Grade 7 Math Quiz – PDF Download

Try these ten multiple-choice questions on two-step inequalities. Each one has exactly one correct answer. Some ask you to read a graph or a thermometer. Solve on scratch paper first, then check the explanation.

Grade 7Common Core: 7.EE.B.4b

🎯 Two-Step Inequalities – Grade 7 math quiz

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Question 1

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

A $x< 4$

B $x>4$

C $x>9$

D $x>6$

Question 2

Which is the solution of $-3x+2\le 14$?

A $x\le -4$

B $x\ge 4$

C $x\ge -4$

D $x\le 4$

Question 3

The graph shows the solution set of which inequality?

Closed circle at 2 with a ray to the left.

A $3x-1\ge 5$

B $3x+1\le 5$

C $3x-1\le 5$

D $3x-1< 5$

Question 4

Which step reverses the inequality sign when solving $-4x>16$?

A Dividing both sides by $-4$

B Subtracting 4 from both sides

C Adding 4 to both sides

D Dividing both sides by 4

Question 5

Which value is a solution of $4x+3<-3$?

A $x=-1$

B $x=-2$

C $x=0$

D $x=3$

Question 6

A park ticket costs $\$18$ and each ride costs $\$6$. Maya has $\$60$. What is the greatest number of rides $r$ she can afford, from $18+6r\le 60$?

Budget bar: an 18 dollar ticket and rides at 6 dollars each, 60 dollars total

A 7 rides

B 6 rides

C 8 rides

D 10 rides

Question 7

The graph shows the solution set of which inequality?

Open circle at -3 with a ray to the right.

A $-2x-1>5$

B $2x-1< 5$

C $2x+1< 5$

D $-2x-1< 5$

Question 8

Which is the solution of $\frac{x}{3}-4\ge 1$?

A $x\ge 5$

B $x\ge -9$

C $x\ge 15$

D $x\le 15$

Question 9

A freezer is at $5^{\circ}\text{F}$ and drops $2^{\circ}\text{F}$ each minute. For which values of $m$ minutes is it below $-9^{\circ}\text{F}$?

The freezer starts at $5^{\circ}\text{F}$.

A $m< 7$

B $m>2$

C $m< 2$

D $m>7$

Question 10

Sofia has 54 points and earns 4 points for each extra-credit problem. She needs at least 90 points. What is the fewest problems she must solve?

A 8 problems

B 23 problems

C 36 problems

D 9 problems

🎉 Quiz complete!

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Remember:

Standard 7.EE.B.4b: solve $px+q>r$ and $px+q< r$ and graph the solution set.
Undo addition or subtraction first, then multiplication or division.
Multiplying or dividing by a negative number reverses the inequality sign.
Use an open circle for $<$ and $>$, and a closed circle for $\le$ and $\ge$.
In a word problem, read the solution set in context, for example whole items only.

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See every chapter on the Grade 7 math page.

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Two-Step Inequalities: Grade 7 Math Quiz – PDF Download

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