Math Core

Unit 5 · Test

Unit 5 test: Equations

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

This test covers one-step equations, two-step equations, multi-step equations (including variables on both sides) and writing equations from word problems.

Question 1

Solve x−13=−4x - 13 = -4.

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

Question 2

Solve −7y=56-7y = 56.

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

Question 3

Solve 23w=14\dfrac{2}{3}w = 14.

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

Question 4

Solve 6x+7=−176x + 7 = -17.

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

Question 5

What is the best first step to solve 5x−9=315x - 9 = 31?

Question 6

Solve 20−3m=220 - 3m = 2.

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

Question 7

Solve p+34=−2\dfrac{p + 3}{4} = -2.

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

Question 8

Solve 2(4x−3)+x=302(4x - 3) + x = 30.

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

Question 9

Solve 9a+4=5a−169a + 4 = 5a - 16.

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

Question 10

Solve 3(n+4)=5(n−2)3(n + 4) = 5(n - 2).

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

Question 11

How many solutions does 2(x−3)=2x−62(x - 3) = 2x - 6 have?

Question 12

A bike rental costs $6 plus $4 per hour. Priya paid $34. For how many hours did she rent the bike?

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

Question 13

Ana has 33 times as many stickers as Ben. Together they have 9696 stickers. How many stickers does Ana have?

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

Question 14

Gym A charges a $50 sign-up fee plus $15 per month. Gym B charges a $20 sign-up fee plus $25 per month. After how many months will the total cost be the same at both gyms?

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