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One-Step Linear Equations
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One-Step Linear Equations
Classify expressions and equations, identify operations, and solve each equation using an inverse operation. Show your steps and check solutions by substitution.
Expressions, Equations, and Vocabulary
1.Classify 4 + p = 13 as an expression or equation. Then name the operation applied to p.
2.Classify 6r − 5 as an expression or equation. Then name the operations in the expression, in order.
3.Classify t ÷ 3 = 8 as an expression or equation. Then name the operation applied to t.
4.Match each algebra term with its meaning.
- Equation
- Expression
- Inverse operation
- Isolate a variable
- Numbers, variables, and operations without an equals sign
- Get the variable alone on one side of an equation
- An operation that undoes another operation
- A statement that two expressions have equal values
Solve One-Step Equations
Use an inverse operation to find the value of the variable. Show your work.
5.Solve a + 11 = 26.
6.Solve b − 14 = 9.
7.Solve 5c = 35.
8.Solve d ÷ 4 = 6.
9.Solve 3e = 27.
10.Solve f ÷ 8 = 5.
Apply and Check
11.Hannah had some dollars in a wallet. After paying $8 for a book, $19 remained. Write an equation for the starting amount w and solve it.
12.Check the solution w = 27 in the equation w − 8 = 19 by substituting 27 for w. Show whether both sides are equal.
13.Create a one-step equation with solution x = 12, solve it, and write a real-world situation that could represent it.
3 printable pages
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