Math Core

This test covers exponents, the order of operations, writing expressions, evaluating expressions and equivalent expressions.

Question 1

Evaluate $3^4$ .

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

Question 2

Which expression is equal to $\left(\dfrac{1}{2}\right)^3$ ?

Question 3

Evaluate $(1.2)^2$ .

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

Question 4

Evaluate $5 + 36 \div 3$ .

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

Question 5

Evaluate $6 + 2 \times (8 - 3)^2 - 10$ .

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

Question 6

Evaluate $\dfrac{3 \times 6 + 2}{2^2}$ .

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

Question 7

Which expression means "9 less than the product of 4 and a number $n$ "?

Question 8

Write an expression for "5 times the sum of a number $x$ and 2."

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

Question 9

What is the coefficient of $b$ in the expression $3a + 7b + 12$ ?

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

Question 10

Evaluate $4x^2 - 3x$ when $x = 4$ .

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

Question 11

A rectangular poster has perimeter $P = 2\ell + 2w$ . Find the perimeter, in inches, when $\ell = 30$ inches and $w = 18$ inches.

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

Question 12

A bike rental costs $4 per hour plus a $6 helmet fee. The cost of renting for $h$ hours is $4h + 6$ dollars. How much does it cost, in dollars, to rent a bike for $1\tfrac{1}{2}$ hours?

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

Question 13

Which expression is equivalent to $6(2y + 3)$ ?

Question 14

Write $3(3k + 2) + 2k + 1$ with as few terms as possible, in the form $ak + b$ . What is $a$ ?

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

Question 15

Which expression shows $18m + 24$ factored using the greatest common factor?