Evaluating Algebraic Expressions Worksheets - Math Monks - Free Printable

Let’s solve each part step by step.

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Part A: Evaluate for x = 2

1) 2x
→ 2 × 2 = 4

2) x/16
→ 2 ÷ 16 = 0.125 (or 1/8 if you prefer fractions)

3) 18 - x
→ 18 - 2 = 16

4) 36/x
→ 36 ÷ 2 = 18

5) 5x - 2
→ 5 × 2 = 10; then 10 - 2 = 8

6) x + 28
→ 2 + 28 = 30

7) 2x - 3
→ 2 × 2 = 4; then 4 - 3 = 1

8) 2 - 2x
→ 2 × 2 = 4; then 2 - 4 = -2

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Part B: Evaluate for x = 3, y = 5

1) x - 2x + y
→ First, x - 2x = -x → -3 + 5 = 2

*(Alternatively: 3 - 2×3 + 5 = 3 - 6 + 5 = (-3) + 5 = 2)*

2) 22 + 2x + 2y
→ 2×3 = 6; 2×5 = 10 → 22 + 6 + 10 = 38

3) 12x - y
→ 12×3 = 36; 36 - 5 = 31

4) -3 - x - y
→ -3 - 3 - 5 = -6 - 5 = -11

5) -4 - 2x - y
→ 2×3 = 6 → -4 - 6 - 5 = -10 - 5 = -15

6) 9x - y + 1
→ 9×3 = 27; 27 - 5 = 22; 22 + 1 = 23

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Part C: Evaluate for a = 1, b = 4

7) 6a / b
→ 6×1 = 6; 6 ÷ 4 = 1.5 (or 3/2 as fraction)

8) 4/a + b
→ 4÷1 = 4; 4 + 4 = 8

9) a/b + 1
→ 1÷4 = 0.25; 0.25 + 1 = 1.25 (or 5/4 as fraction)

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Final Answer:

Part A:
1) 4
2) 0.125
3) 16
4) 18
5) 8
6) 30
7) 1
8) -2

Part B:
1) 2
2) 38
3) 31
4) -11
5) -15
6) 23

Part C:
7) 1.5
8) 8
9) 1.25