Let’s solve each problem one by one. We’ll plug in the given values and simplify step by step.
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1) p² + m; where m = 2, p = 1
Plug in:
(1)² + 2 = 1 + 2 =
3
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2) x - x² + 1 + y; where x = 1, y = -1
Plug in:
1 - (1)² + 1 + (-1) = 1 - 1 + 1 - 1 =
0
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3) p(r + q); where p = 3, q = 6, r = 4
First do inside parentheses:
r + q = 4 + 6 = 10
Then multiply:
p × 10 = 3 × 10 =
30
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4) y - (x - x); where x = 6, y = 2
Inside parentheses:
x - x = 6 - 6 = 0
Then:
y - 0 = 2 - 0 =
2
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5) p(p + m); where m = 1, p = 6
Inside parentheses:
p + m = 6 + 1 = 7
Then multiply:
p × 7 = 6 × 7 =
42
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6) j²h; where h = 2, j = 4
j² = 4² = 16
Then multiply by h:
16 × 2 =
32
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7) xy ÷ 6; where x = 5, y = 6
Multiply first:
5 × 6 = 30
Then divide:
30 ÷ 6 =
5
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8) 2p - q; where p = 4, q = -2
2p = 2 × 4 = 8
Then subtract q:
8 - (-2) = 8 + 2 =
10
*(Remember: subtracting a negative is like adding)*
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9) y² - x; where x = 1, y = 5
y² = 5² = 25
Then subtract x:
25 - 1 =
24
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10) 6 - (p - m); where m = 1, p = -5
Inside parentheses:
p - m = -5 - 1 = -6
Then:
6 - (-6) = 6 + 6 =
12
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11) (x - y) ÷ 2; where x = 3, y = 1
Inside parentheses:
3 - 1 = 2
Then divide:
2 ÷ 2 =
1
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12) (x + y)²; where x = 1, y = 1
Inside parentheses:
1 + 1 = 2
Then square it:
2² =
4
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Final Answer:
1) 3
2) 0
3) 30
4) 2
5) 42
6) 32
7) 5
8) 10
9) 24
10) 12
11) 1
12) 4
Parent Tip: Review the logic above to help your child master the concept of algebra worksheet for 6th grade.
