Topic 4 Quiz Practice

A ________ is an unknown term. We don't know the value so we use a letter in its place.

Each month, a phone company charges $20 for 500 minutes of talk time plus $0.45 for each additional minute. Unlimited texting costs $30 more. Choose an expression to show the cost of a talk-and-texting plan for one month, given x minutes over 500.

• 0.45 + 50x

• 50 + 0.45x

• 30 + 20x

• 500 + 50 + 0.45x

Write an expression equivalent to (6x + 4y) – 2y by combining like terms.

Which expression is equivalent to this expression?

4a + (–6b) – 3a + 2b

• a + 4b

• a – 4b

• 7a – 8b

• 7a – 4b

A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used to determine the amount of sales tax due on the entire purchase. Expand the expression and round to the nearest hundredth.

• 1.65 + 0.09s

• 1.65 + 1.25s

• 22.07 + 1.33s

Use the GCF to factor this expression.

40x + 24y – 56

• 1(40x + 24y – 56)

• 2(20x + 12y – 28)

• 4(10x + 6y – 14)

• 8(5x + 3y – 7)

Which mathematical property can we use to check if we have factored an expression correctly?

• Associative Property

• Distributive Property

• Commutative Property