Unit 7, Lesson 18
Expressions with Rational Numbers
Accelerated 6
Practice
Problem 1
The value of \(x\) is \(\frac {\text{-}1}{4}\). Order these expressions from least to greatest:
\(x\)
\(1-x\)
\(x-1\)
\(\text-1\div x\)
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 \(\frac {\text{-}3}{4}\).
Problem 3
Find the value of each expression.
-
\(\text-22 + 5\)
-
\(\text-22 -(\text-5)\)
-
\((\text-22) (\text-5)\)
-
\(\text-22 \div 5\)
Find the quotients.
- \(\frac{1}{7} \div \frac{1}{8}\)
- \(\frac{12}{5} \div \frac{6}{5}\)
- \(\frac{1}{10} \div 10\)
- \(\frac{9}{10} \div \frac{10}{9}\)
Problem 5
Here are the diameters of four coins:
| coin | penny | nickel | dime | quarter |
|---|---|---|---|---|
| diameter | 1.9 cm | 2.1 cm | 1.8 cm | 2.4 cm |
- A coin rolls a distance of 33 cm in 5 rotations. Which coin is it?
- A quarter makes 8 rotations. How far did it roll?
- A dime rolls 41.8 cm. How many rotations did it make?
Problem 6
A runner is running a 10 km race. It takes her 17.5 minutes to reach the 2.5 km mark. At this rate, how long will it take her to run the whole race?