Lesson 19

Solve.

1. \(\frac25t=6\)

2. \(\text-4.5 = a-8\)

3. \(\frac12+p= \text-3\)

4. \(12=x \boldcdot 3\)

5. \(\text-12 = \text-3y\)

Match each equation to a step that will help solve the equation.

1. Write an equation where a number is added to a variable, and a solution is -8.
2. Write an equation where a number is multiplied by a variable, and a solution is \(\frac {\text{-}4}{5}\).

Evaluate each expression if \(x\) is \(\frac{2}{5}\), \(y\) is \(\text-4\), and \(z\) is -0.2.

1. \(x+y\)

2. \(2x-z\)

3. \(x+y+z\)

4. \(y \boldcdot x\)

The markings on the number line are evenly spaced. Label the other markings on the number line.

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?

\(\text-24^\circ\text{C}\)

\(\text-12^\circ\text{C}\)

\(12^\circ\text{C}\)

\(24^\circ\text{C}\)