Lesson 18: Practice Problems

Problem 1

The value of $x$ is $\frac{- 1}{4}$ . Order these expressions from least to greatest:

$x$
$1 - x$
$x - 1$
$- 1 \div x$

Problem 2

Here are four expressions that have the value $\frac{- 1}{2}$ :

$\frac{- 1}{4} + (\frac{- 1}{4})$

$\frac{1}{2} - 1$

$- 2 \cdot \frac{1}{4}$

$- 1 \div 2$

Write five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value $\frac{- 3}{4}$ .

Problem 3

Find the value of each expression.

$- 22 + 5$
$- 22 - (- 5)$
$(- 22) (- 5)$
$(- 22) \div 5$

Problem 4 From Unit 6 Lesson 7

The price of an ice cream cone is $3.25, but it costs $3.51 with tax. What is the sales tax rate?

Problem 5

Here are 4 points on a coordinate plane.

Label each point with its coordinates.
Plot a point that is 3 units from point $K$ . Label it $P$ .
Plot a point that is 2 units from point $M$ . Label it $W$ .

Problem 6

A furniture store pays a wholesale price for a mattress. Then, the store marks up the retail price to 150% of the wholesale price. Later, they put the mattress on sale for 50% off of the retail price. A customer just bought the mattress on sale and paid $1,200.

What was the retail price of the mattress, before the discount?
What was the wholesale price, before the markup?