Lesson 19
Solving Equations with Rational Numbers
Problem 1
Solve.
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\frac25t=6
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\text-4.5 = a-8
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\frac12+p= \text-3
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12=x \boldcdot 3
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\text-12 = \text-3y
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 \text-4, and z is -0.2.
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x+y
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2x-z
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x+y+z
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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?
\text-24^\circ\text{C}
\text-12^\circ\text{C}
12^\circ\text{C}
24^\circ\text{C}
Solution
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(From Unit 7, Lesson 2.)