Unit 6 · Test

Unit 6 test: Inequalities

15 questions. Answer them all, then submit to see your score. Solutions unlock after you submit.

This test covers reading and graphing inequalities, solving one-step inequalities, and solving two-step inequalities, including word problems.

Question 1

Which number is a solution of $x < -1$ ?

Question 2

Write the inequality shown by the graph.

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 3

Which inequality means the same thing as $9 > x$ ?

Question 4

A party room holds at most 30 guests. Let $g$ be the number of guests. Write an inequality.

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 5

What is the greatest integer that is a solution of $x \le -4.5$ ?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 6

Solve $x - 9 > -4$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 7

Solve $-7x \ge 28$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 8

Solve $\dfrac{x}{3} < -2$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 9

For which inequality do you need to flip the symbol while solving?

Question 10

Solve $4x - 9 \le 11$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 11

Solve $7 - 2x > 15$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 12

Solve $\dfrac{x}{-4} + 3 \ge 5$ .

Enter an inequality, e.g. x >= 4, -2 < x <= 3, or x < 1 or x > 5

Question 13

Which graph shows the solutions of $5x + 2 > -8$ ?

Question 14

A taxi charges $3.50 to start the ride plus $2 per mile. Dev has at most $25 to spend. What is the greatest whole number of miles he can ride?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 15

The student council has $120. It sells raffle tickets for $4 each and needs at least $500 in total for a class trip. What is the fewest number of tickets it must sell?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.