MathematicsFreePrintable

Linear Equations Answer Key

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Linear Equations Answer Key

Linear equations with variables and solutions

📚 Part 1: Multiple Choice Answers

1. Solve for x: 2x + 3 = 11

x = 2

x = 4

x = 7

x = 8

2. Solve for y: 5y - 7 = 8

y = 1

y = 3

y = 5

y = 15

3. Solve for f: 3f + 5 = 35

f = 8

f = 10

f = 12

f = 30

✏️ Part 2: Open-Ended Solutions

4. Solve for x: 4x + 6 = 4

Answer: x = -0.5

Solution:

4x + 6 = 4

4x + 6 - 6 = 4 - 6

4x = -2

4x ÷ 4 = -2 ÷ 4

x = -0.5

5. Solve for y: 6y - 4 = 5

Answer: y = 1.5

Solution:

6y - 4 = 5

6y - 4 + 4 = 5 + 4

6y = 9

6y ÷ 6 = 9 ÷ 6

y = 1.5

6. Solve for f: 2.5f + 1 = -8

Answer: f = -3.6

Solution:

2.5f + 1 = -8

2.5f + 1 - 1 = -8 - 1

2.5f = -9

2.5f ÷ 2.5 = -9 ÷ 2.5

f = -3.6

7. Solve for a: -3a + 5 = 35

Answer: a = -10

Solution:

-3a + 5 = 35

-3a + 5 - 5 = 35 - 5

-3a = 30

-3a ÷ (-3) = 30 ÷ (-3)

a = -10

8. Solve for b: 7b + 12 = -2

Answer: b = -2

Solution:

7b + 12 = -2

7b + 12 - 12 = -2 - 12

7b = -14

7b ÷ 7 = -14 ÷ 7

b = -2

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