Lesson 19
Solving Equations with Rational Numbers
Problem 1
Solve.

\(\frac25t=6\)

\(\text4.5 = a8\)

\(\frac12+p= \text3\)

\(12=x \boldcdot 3\)

\(\text12 = \text3y\)
Solution
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Problem 2
Match each equation to a step that will help solve the equation.
Solution
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Problem 3
 Write an equation where a number is added to a variable, and a solution is 8.
 Write an equation where a number is multiplied by a variable, and a solution is \(\frac {\text{}4}{5}\).
Solution
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Problem 4
Evaluate each expression if \(x\) is \(\frac{2}{5}\), \(y\) is \(\text4\), and \(z\) is 0.2.

\(x+y\)

\(2xz\)

\(x+y+z\)

\(y \boldcdot x\)
Solution
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(From Unit 7, Lesson 18.)Problem 5
The markings on the number line are evenly spaced. Label the other markings on the number line.
Solution
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(From Unit 7, Lesson 14.)Problem 6
One night, it is \(24^\circ\text{C}\) warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?
\(\text24^\circ\text{C}\)
\(\text12^\circ\text{C}\)
\(12^\circ\text{C}\)
\(24^\circ\text{C}\)
Solution
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(From Unit 7, Lesson 2.)