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Linear Equations Answer Key
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Linear Equations Answer Key
Solve each equation and find its solution. Show your steps for written questions, and check a solution by substituting it into the original equation.
Solve the equations
Solve the equations to find their solutions.
1.The scale is balanced: 2x + 3 = 11. What is x? Choose the solution.
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- 4
- 7
- 8
2.A robot follows the rule 5y − 7 = 8. Solve for y, then check your answer in the equation.
3.Solve the two-step equation 3f + 5 = 35. What value of f opens the lock?
4.Solve 4x + 6 = 4. Show how you undo the addition and multiplication, then check your answer.
5.A temperature sensor displays the solution to 6y − 4 = 5. Solve for y. Give your answer as a decimal or fraction.
6.The number line runs from −5 to 1 in steps of 1. Solve 2.5f + 1 = −8, then mark the solution on the number line.
7.A student solves −3a + 5 = 35 and gets a = −10. Is the answer correct? Decide, and use substitution to justify your choice.
TrueFalse
8.Solve 7b + 12 = −2. Write the value of b and show the two inverse operations.
9.Match each equation to its solution. Solve each equation before matching.
- 4p − 3 = 13
- −2q + 6 = −2
- 3r + 1 = −8
- q = 4
- p = 4
- r = −3
10.Make your own linear equation with one solution, and choose a solution between −5 and 5. Write the equation and verify that your chosen value works.
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