Evaluating Algebraic Expressions (A) - Free Printable

Let’s solve each algebraic expression one by one. We’ll plug in the given numbers for the letters and then do the math step by step.

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1. m + 5q ; where m = 1, and q = 5

Plug in:
1 + 5 × 5
= 1 + 25
= 26

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2. (y – x)³ ; where x = 1, and y = 3

Plug in:
(3 – 1)³
= (2)³
= 2 × 2 × 2
= 8

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3. q(p + 2) ; where p = 4, and q = 3

Plug in:
3 × (4 + 2)
= 3 × 6
= 18

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4. y + y – x ; where x = 6, and y = 5

Plug in:
5 + 5 – 6
= 10 – 6
= 4

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5. (z + y) ÷ 6 ; where y = 6, and z = 6

Plug in:
(6 + 6) ÷ 6
= 12 ÷ 6
= 2

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6. h(j – h) ; where h = 3, and j = 6

Plug in:
3 × (6 – 3)
= 3 × 3
= 9

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7. x + y + y ; where x = 5, and y = 2

Plug in:
5 + 2 + 2
= 9
= 9

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8. z² – y ; where y = 4, and z = 3

Plug in:
3² – 4
= 9 – 4
= 5

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9. b(4 + a) ; where a = 6, and b = 2

Plug in:
2 × (4 + 6)
= 2 × 10
= 20

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10. m – n + m ; where m = 5, and n = 1

Plug in:
5 – 1 + 5
= 4 + 5
= 9

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11. (h + j) ÷ 6 ; where h = 2, and j = 4

Plug in:
(2 + 4) ÷ 6
= 6 ÷ 6
= 1

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Final Answer:
26, 8, 18, 4, 2, 9, 9, 5, 20, 9, 1