Lesson 19
Solving Equations with Rational Numbers
Problem 1
Solve.
-
\(\frac25t=6\)
-
\(\text-4.5 = a-8\)
-
\(\frac12+p= \text-3\)
-
\(12=x \boldcdot 3\)
-
\(\text-12 = \text-3y\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
Match each equation to a step that will help solve the equation.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
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
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 4
Evaluate each expression if \(x\) is \(\frac{2}{5}\), \(y\) is \(\text-4\), and \(z\) is -0.2.
-
\(x+y\)
-
\(2x-z\)
-
\(x+y+z\)
-
\(y \boldcdot x\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 7, Lesson 18.)Problem 5
The markings on the number line are evenly spaced. Label the other markings on the number line.
![A blank number line with 9 evenly spaced tick marks. Starting on the left, the fourth tick mark is labeled negative 30, the fifth tick mark is labeled 0, and the ninth tick mark is labeled 45.](https://staging-cms-im.s3.amazonaws.com/d5eTRYDxUkWiALFiPnrC7tCN?response-content-disposition=inline%3B%20filename%3D%227-7.5.C4.Image.03.png%22%3B%20filename%2A%3DUTF-8%27%277-7.5.C4.Image.03.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T151112Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=325be460f37fe8693e0b8325c339af0d5be5a016e299199265cbe758388e5f89)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(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
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 7, Lesson 2.)