Let’s solve each expression step by step. We’ll plug in the given value for each variable and calculate carefully.
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1) 2a - 3 when a = 5
→ 2 × 5 = 10 → 10 - 3 =
7 ✔ (already done)
2) 3b + 4 when b = 5
→ 3 × 5 = 15 → 15 + 4 =
19
3) c - 10 when c = 7
→ 7 - 10 =
-3
4) 5d - 3 when d = 20
→ 5 × 20 = 100 → 100 - 3 =
97
5) 3(e + 4) when e = -1
→ First: -1 + 4 = 3 → Then: 3 × 3 =
9
6) 7(f - 2) when f = 10
→ First: 10 - 2 = 8 → Then: 7 × 8 =
56
7) ½(g + 2) when g = 4
→ First: 4 + 2 = 6 → Then: ½ × 6 =
3
8) (h - 2)/3 when h = 11
→ First: 11 - 2 = 9 → Then: 9 ÷ 3 =
3
9) i² when i = 5
→ 5 × 5 =
25
10) j² - 5 when j = 3
→ 3 × 3 = 9 → 9 - 5 =
4
11) 3(5 - k) when k = 2
→ First: 5 - 2 = 3 → Then: 3 × 3 =
9
12) ¼l - 7 when l = 16
→ ¼ × 16 = 4 → 4 - 7 =
-3
13) (m - 4)/3 when m = 10
→ 10 - 4 = 6 → 6 ÷ 3 =
2
14) 12/(n + 4) when n = 2
→ 2 + 4 = 6 → 12 ÷ 6 =
2
15) o³ when o = 3
→ 3 × 3 × 3 =
27
16) (p - 1)² when p = 8
→ 8 - 1 = 7 → 7 × 7 =
49
17) (q + 4)² when q = 2
→ 2 + 4 = 6 → 6 × 6 =
36
18) 6(r + 5) when r = -3
→ -3 + 5 = 2 → 6 × 2 =
12
19) s/7 - 6 when s = 21
→ 21 ÷ 7 = 3 → 3 - 6 =
-3
20) t/(7 - 6) when t = 5
→ 7 - 6 = 1 → 5 ÷ 1 =
5
21) u(4 + 3) when u = 2
→ 4 + 3 = 7 → 2 × 7 =
14
22) (v - 5) ÷ 6 when v = 23
→ 23 - 5 = 18 → 18 ÷ 6 =
3
23) (2w - 3) ÷ 4 when w = 2
→ 2 × 2 = 4 → 4 - 3 = 1 → 1 ÷ 4 =
0.25 or
¼
24) (x + 2)² when x = 10
→ 10 + 2 = 12 → 12 × 12 =
144
25) √y when y = 36
→ Square root of 36 is
6 (since 6 × 6 = 36)
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Final Answer:
1) 7
2) 19
3) -3
4) 97
5) 9
6) 56
7) 3
8) 3
9) 25
10) 4
11) 9
12) -3
13) 2
14) 2
15) 27
16) 49
17) 36
18) 12
19) -3
20) 5
21) 14
22) 3
23) 0.25 (or ¼)
24) 144
25) 6
Parent Tip: Review the logic above to help your child master the concept of math problems for 7th graders worksheet.
