Topic 4 Mid-Topic Review

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.

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)

Choose the expanded form of this expression.

 $4\left(\frac{1}{4}a+b-6\right)$  

• a + b – 24

• 4a – 6b

• 4a + b – 6

• a + 4b – 24

Use the Distributive Property to expand this expression.

z(–6.4 – 3.5x)

• –6.4z – 3.5x

• z – 6.4 – 3.5x

• –6.4z – 3.5xz

• –6.4xz – 3.5xz

Simplify this expression.

–6w + (–8) + 1 + (–7w)

• –w – 7

• –13w – 7

• w + 9

• 13w + 9

Which expression is equivalent to the expression below?

2.1 + (–3.7h) + 1.9h – 1.4

• 3.5 – 5.6h

• 4.9h

• 0.7 + 1.8h

• 0.7 – 1.8h

Which pairs are like terms in the expression below? Select all that apply.

 $\frac{2}{5}y+\frac{1}{5}x-0.2y-6+\left(-2\right)$  

•  $\frac{2}{5}y\ and\ \frac{1}{5}x$  

•  $\frac{2}{5}y\ and\ -0.2y$  

•  $\frac{1}{5}x\ and\ -0.2y$  

•  $-0.2y\ and\ 2$  

•  $-6\ and\ -2$