Math Core

This test covers all of Unit 2: one-step, two-step and multi-step equations, variables on both sides, literal equations, ratios and proportions, and absolute value equations.

Question 1

Solve $-7x = 56$ .

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

Question 2

Solve $\dfrac{3}{7}n = 9$ .

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

Question 3

Solve $15 - 4y = 39$ .

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

Question 4

Solve $\dfrac{x + 7}{3} = 6$ .

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

Question 5

Solve $2(3a - 4) - a = 27$ .

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

Question 6

Solve $\dfrac{x}{3} + \dfrac{x}{6} = 9$ .

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

Question 7

Solve $8m + 5 = 3m - 15$ .

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

Question 8

How many solutions does $4(x - 3) + 2 = 4x - 10$ have?

Question 9

How many solutions does $6x - 1 = 2(3x + 4)$ have?

Question 10

Solve $2x + 3y = 12$ for $y$ .

Enter an expression, e.g. 3x^2 - 2x + 1

Question 11

The formula for simple interest is $I = Prt$ . Which formula gives $t$ ?

Question 12

Solve $\dfrac{x - 1}{4} = \dfrac{x + 2}{6}$ .

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

Question 13

A printer prints $48$ pages in $3$ minutes. At that rate, how many pages does it print in $7$ minutes?

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

Question 14

Solve $|x + 3| + 2 = 9$ . Enter both solutions, separated by a comma.

Separate answers with commas, e.g. 2, -5

Question 15

Which equation has no solution?