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.
- \(\text-22 + 5\)
- \(\text-22 -(\text-5)\)
- \((\text-22) (\text-5)\)
- \(\text-22 \div 5\)
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.
- 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 \(W\).
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.
- What was the retail price of the mattress, before the discount?
- What was the wholesale price, before the markup?
Solution
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(From Unit 6, Lesson 8.)