9A Practice Test: Algebraic Properties

Which property is illustrated by the equation 5(a+4)=5a+20?

• Identity Property

• Distributive Property

• Associative Property

• Commutative Property

What is the algebraic expression for 'three times the difference of a number and four'?

• 3(x - 4)

• x - 3 - 4

• 3x - 4

• x - 3 * 4

Using the distributive property, which expression is equivalent to 5(y + 2)?

• 5y + 10

• 5y + 2

• 5y + 7

• 5y + 12

Which of the following best describes the commutative property?

• The order of addition or multiplication can be changed without affecting the result

• Changing the grouping of numbers does not change their sum or product

• Multiplying any number by one leaves it unchanged

• None of the above

What is the expression for 'the sum of five times a number and seven'?

• 5 + x + 7

• 7(5x)

• 5(x + 7)

• 5x + 7

Using the associative property only, which is equivalent to (4 × 5) × z?

• 4 × (5 × z)

• 5 × (4 × z)

• 4 × 5 + z

• 4 + (5 × z)

Which property is demonstrated by the equation x * 1 = x?

• Identity Property

• Associative Property

• Distributive Property

• Commutative Property

Which property is demonstrated by the equation 5x + 4y + z = 5x + z + 4y?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

What is the algebraic expression for 'five more than three times a number'?

• 3x - 5

• 5 + 3x

• 3(x + 5)

• 5x + 3

Which property is illustrated by the equation (a × b) × c = a × (b × c)?

• Commutative Property

• Associative Property

• Distributive Property

• Identity Property