Algebraic Operations and Properties Quiz

Test your knowledge of algebraic properties with this quiz. Solve equations and simplify expressions to ace the test!

#1

Which property states that the sum of any real number and zero is the number itself?

Commutative Property
Identity Property
Associative Property
Distributive Property
#2

What is the simplified form of (3x + 5) + (2x - 4)?

5x + 1
5x + 9
6x - 1
5x + 10
#3

Which property states that the product of any real number and zero is always zero?

Commutative Property
Identity Property
Associative Property
Zero Property
#4

If a = 3 and b = -2, what is the value of 4a - 2b?

10
8
12
6
#5

Which property states that the sum of any real number and its additive inverse is zero?

Commutative Property
Identity Property
Inverse Property
Associative Property
#6

Which property states that the order of numbers does not affect the result of addition or multiplication?

Commutative Property
Identity Property
Associative Property
Distributive Property
#7

What is the solution to the equation 2(x - 3) = 10?

x = 7
x = 8
x = 9
x = 10
#8

What is the result of (4x^2 - 9) / (2x + 3) when simplified?

2x - 3
2x - 1
2x + 3
2x - 9
#9

What is the simplified form of (2x + 3)(x - 4)?

2x^2 - 5x - 12
2x^2 - 5x + 12
2x^2 + 5x - 12
2x^2 + 5x + 12
#10

Which property states that changing the grouping of numbers in addition or multiplication does not affect the result?

Commutative Property
Identity Property
Associative Property
Distributive Property
#11

What is the result of (x + 4)(x - 4) when simplified?

x^2 - 16
x^2 + 16
x^2 - 8
x^2 + 8
#12

Which property states that the product of any real number and one is the number itself?

Commutative Property
Identity Property
Associative Property
Distributive Property
#13

Which property states that the product of any real number and its reciprocal is one?

Commutative Property
Identity Property
Reciprocal Property
Associative Property
#14

Which property states that the product of any real number and its opposite is negative?

Commutative Property
Identity Property
Inverse Property
Associative Property
#15

What is the result of (2x^2 + 3x - 5)(x + 2) when simplified?

2x^3 + 7x^2 + 11x - 10
2x^3 + 7x^2 - x - 10
2x^3 + 7x^2 - 11x - 10
2x^3 + 7x^2 + x - 10
#16

What is the result of (x^3 + 2x^2 - 3x + 4) + (3x^3 - x^2 + 2x - 5) when simplified?

4x^3 + x^2 - x - 1
4x^3 + x^2 - x - 9
4x^3 + x^2 - x + 9
4x^3 + x^2 - x + 1
#17

Which property states that the product of any real number and a sum is equal to the sum of the products of the number and each term?

Commutative Property
Identity Property
Distributive Property
Associative Property

Sign In to view more questions.

Sign InSign Up

Quiz Questions with Answers

Forget wasting time on incorrect answers. We deliver the straight-up correct options, along with clear explanations that solidify your understanding.

Test Your Knowledge

Craft your ideal quiz experience by specifying the number of questions and the difficulty level you desire. Dive in and test your knowledge - we have the perfect quiz waiting for you!

Other Quizzes to Explore