Math Core

Unit 4 · Test

Unit 4 test: Expressions

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

This test covers writing and evaluating expressions, the properties of operations, combining like terms, and the distributive property.

Question 1

What is the coefficient of pp in the expression 8−3p+p28 - 3p + p^2?

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

Question 2

Which expression means "six more than the product of 33 and nn"?

Question 3

Evaluate 2x2−5y2x^2 - 5y when x=−3x = -3 and y=4y = 4.

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

Question 4

A kayak rental costs $12 plus $3 per hour. Write an expression for the cost of hh hours, then find the cost in dollars of a 55-hour rental.

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

Question 5

Which property does 7⋅17=17 \cdot \dfrac{1}{7} = 1 show?

Question 6

Which property does (a+4)+6=a+(4+6)(a + 4) + 6 = a + (4 + 6) show?

Question 7

Use the properties of multiplication to find 5⋅(−13)⋅205 \cdot (-13) \cdot 20.

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

Question 8

Simplify 7w−3−10w+87w - 3 - 10w + 8.

Question 9

Simplify 2x2−4x+6x2+x2x^2 - 4x + 6x^2 + x. What is the coefficient of x2x^2 in the result?

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

Question 10

Simplify (3a+2b)−(a−5b)(3a + 2b) - (a - 5b).

Question 11

Expand −3(4−2t)-3(4 - 2t).

Question 12

Simplify 5(y+3)−2(y−4)5(y + 3) - 2(y - 4). What is the constant term of the result?

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

Question 13

Factor 12x−2012x - 20 completely.

Question 14

A rectangle has length 2n+32n + 3 and width n−1n - 1. Write and simplify an expression for its perimeter, then find the perimeter when n=5n = 5.

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