Lesson 18

Expressions with Rational Numbers

Problem 1

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

x

1-x

x-1

\text-1\div x

 

Solution

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Problem 2

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

\frac {\text{-}1}{4} + \left(\frac {\text{-}1}{4}\right)

\frac12 - 1

\text-2 \boldcdot \frac14

\text-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 {\text{-}3}{4}.

Solution

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Problem 3

Find the value of each expression.

  1. \text-22 + 5
  2. \text-22 -(\text-5)
  3. (\text-22) (\text-5)
  4. \text-22 \div 5

Solution

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Problem 4

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

Solution

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(From Unit 6, Lesson 7.)

Problem 5

Here are 4 points on a coordinate plane.

Coordinate plane, origin O, x and y axes marked by ones. Point K is three left, 3 up. Point X is 3 right, 2 up. Point M is 5 left, 4 down. Point Y is 2 right, 3 down.
  1. Label each point with its coordinates.
  2. Plot a point that is 3 units from point K. Label it P.
  3. Plot a point that is 2 units from point M. Label it W.

Solution

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(From Unit 7, Lesson 13.)

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.

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

Solution

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(From Unit 6, Lesson 8.)