Let me work through each problem step by step, substituting the given values and evaluating using order of operations.
1) 3(a + 2), a = 7
3(7 + 2) = 3 × 9 = 27
2) 6(9 - b), b = 6
6(9 - 6) = 6 × 3 = 18
3) 4(c + 8), c = 3
4(3 + 8) = 4 × 11 = 44
4) 8(13 - d), d = 7
8(13 - 7) = 8 × 6 = 48
5) 10(e - 5), e = 13
10(13 - 5) = 10 × 8 = 80
6) 4(7 + f - 1), f = 4
4(7 + 4 - 1) = 4 × 10 = 40
7) 6(7 - g + 3), g = 6
6(7 - 6 + 3) = 6 × 4 = 24
8) 8(15 - h - 2), h = 13
8(15 - 13 - 2) = 8 × 0 = 0
9) 15(i - 21), i = 25
15(25 - 21) = 15 × 4 = 60
10) 5(2 + j), j = 7
5(2 + 7) = 5 × 9 = 45
11) 2(k - 3²), k = 10
2(10 - 9) = 2 × 1 = 2
12) 9(17 - l), l = 10
9(17 - 10) = 9 × 7 = 63
13) 4(m + 2 × 5), m = 3
Inside parentheses: 2 × 5 = 10, then 3 + 10 = 13
4 × 13 = 52
14) 12(n - 6 × 3), n = 25
Inside parentheses: 6 × 3 = 18, then 25 - 18 = 7
12 × 7 = 84
15) 6(12 2 + p), p = 4
Inside parentheses: 12 ÷ 2 = 6, then 6 + 4 = 10
6 × 10 = 60
16) 3(q - 0.4), q = 0.9
3(0.9 - 0.4) = 3 × 0.5 = 1.5
17) 8(5² - r), r = 16
5² = 25, so 8(25 - 16) = 8 × 9 = 72
18) ½(s - 2³), s = 24
2³ = 8, so ½(24 - 8) = ½ × 16 = 8
19) 3(1 - t), t = 0.4
3(1 - 0.4) = 3 × 0.6 = 1.8
20) 7(u + 1.5), u = 3.5
7(3.5 + 1.5) = 7 × 5 = 35
Let me verify all calculations once more:
1) 3(7+2) = 3×9 = 27 ✓
2) 6(9-6) = 6×3 = 18 ✓
3) 4(3+8) = 4×11 = 44 ✓
4) 8(13-7) = 8×6 = 48 ✓
5) 10(13-5) = 10×8 = 80 ✓
6) 4(7+4-1) = 4×10 = 40 ✓
7) 6(7-6+3) = 6×4 = 24 ✓
8) 8(15-13-2) = 8×0 = 0 ✓
9) 15(25-21) = 15×4 = 60 ✓
10) 5(2+7) = 5×9 = 45 ✓
11) 2(10-9) = 2×1 = 2 ✓
12) 9(17-10) = 9×7 = 63 ✓
13) 4(3+10) = 4×13 = 52 ✓
14) 12(25-18) = 12×7 = 84 ✓
15) 6(6+4) = 6×10 = 60 ✓
16) 3(0.9-0.4) = 3×0.5 = 1.5 ✓
17) 8(25-16) = 8×9 = 72 ✓
18) ½(24-8) = ½×16 = 8 ✓
19) 3(1-0.4) = 3×0.6 = 1.8 ✓
20) 7(3.5+1.5) = 7×5 = 35 ✓
All calculations verified.
Final Answer:
1) 27
2) 18
3) 44
4) 48
5) 80
6) 40
7) 24
8) 0
9) 60
10) 45
11) 2
12) 63
13) 52
14) 84
15) 60
16) 1.5
17) 72
18) 8
19) 1.8
20) 35
Parent Tip: Review the logic above to help your child master the concept of 6th grade algebra equations worksheet.
