Math Core

This test covers solving two-step equations, writing and solving equations for word problems, and solving and graphing two-step inequalities.

Question 1

Solve $5x - 8 = 27$ for $x$ .

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

Question 2

What is a good first step to solve $\dfrac{m}{6} + 4 = 10$ ?

Question 3

Solve $-3n + 10 = 1$ for $n$ .

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

Question 4

Solve $2(y + 7) = 30$ for $y$ .

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

Question 5

Solve $\dfrac{3}{5}k - 2 = 7$ for $k$ .

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

Question 6

Three times Lucas's age, minus $5$ , equals $34$ . Which equation can you use to find his age, $a$ ?

Question 7

A bowling alley charges $4 to rent shoes plus $5.50 per game. Kira spends $26 in all. How many games does she bowl?

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

Question 8

A rectangular playground has a perimeter of $64$ meters. Its length is $20$ meters. What is its width, in meters?

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

Question 9

A diver is at $-60$ feet. She rises $8$ feet each minute. After how many minutes will she be at $-12$ feet?

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

Question 10

Solve $4x - 1 < 15$ .

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

Question 11

Solve $-2x + 9 \ge 3$ .

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

Question 12

Which inequality has the solutions shown on the number line?

Question 13

Solve $7 - \dfrac{x}{3} > 5$ .

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

Question 14

A phone plan costs $20 per month plus $0.15 for each text message. Sam wants his bill to be at most $35. What is the greatest number of texts he can send in a month?

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