Math Core

Unit 1 · Test

Unit 1 test: Foundations of Algebra

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

This test covers all of Unit 1: expressions, the order of operations, the real number system, properties of real numbers, the distributive property, and combining like terms.

Question 1

Evaluate 3x+2y3x + 2y when x=5x = 5 and y=4y = 4.

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

Question 2

Evaluate 2+3⋅42 + 3 \cdot 4.

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

Question 3

Evaluate −42-4^2.

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

Question 4

Which number is irrational?

Question 5

Which property is shown by 5+(x+2)=(5+x)+25 + (x + 2) = (5 + x) + 2?

Question 6

Use the distributive property to rewrite 3(2x−5)3(2x - 5) without parentheses.

Question 7

Simplify 7x+4−2x−17x + 4 - 2x - 1.

Question 8

Simplify 4(a+2)−2(a−1)+14(a + 2) - 2(a - 1) + 1.

Question 9

Evaluate 5−2(3−7)25 - 2(3 - 7)^2.

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

Question 10

Which property is shown by 7⋅17=17 \cdot \dfrac{1}{7} = 1?