Math Core

This test covers combining like terms, expanding and factoring with the distributive property, and rewriting expressions in equivalent forms.

Question 1

Which pair are like terms?

Question 2

Simplify $9x - 4 - 3x + 10$ .

Question 3

After simplifying $5 - 6k + 3k + k$ , what is the coefficient of $k$ ?

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

Question 4

Simplify $\dfrac{3}{4}a - 2 + \dfrac{1}{2}a + 5$ .

Question 5

Simplify $(4m + 7) - (m - 2)$ .

Question 6

When $-5(3y + 7)$ is expanded, what is the constant term?

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

Question 7

Which expression is equal to $\dfrac{2}{5}(10x - 15)$ ?

Question 8

Factor $18n + 27$ completely. What number is in front of the parentheses?

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

Question 9

Which expression is equal to $-6x + 42$ ?

Question 10

Simplify $3(2p - 5) - 4(p - 1)$ .

Question 11

A book costs $b$ dollars and is on sale for 10% off. The sale price can be written as $kb$ . What is $k$ ?

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

Question 12

The price of a concert ticket went from $t$ dollars to $1.35t$ dollars. By what percent did the price increase?

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

Question 13

Which expression is not equivalent to $4(x + 3)$ ?

Question 14

A square garden with side length $s$ feet is surrounded by a border of $1$ -foot square tiles that fills the corners. The number of tiles is $4(s + 1)$ . How many tiles are needed when $s = 23$ ?

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