Let’s solve each expression one by one using the table:
Given values:
- a = 2
- b = 3
- c = 5
- m = 10
- n = 12
- t = 20
- u = 25
- x = -3
- y = -5
- z = 0.1
---
Row 1:
1.
2(4 + 8x)
→ x = -3
→ 8x = 8 × (-3) = -24
→ 4 + (-24) = -20
→ 2 × (-20) =
-40
2.
-2(4n + 2)
→ n = 12
→ 4n = 4 × 12 = 48
→ 48 + 2 = 50
→ -2 × 50 =
-100
3.
-3(4 + 2t)
→ t = 20
→ 2t = 2 × 20 = 40
→ 4 + 40 = 44
→ -3 × 44 =
-132
---
Row 2:
4.
-3(-4m - 4)
→ m = 10
→ -4m = -4 × 10 = -40
→ -40 - 4 = -44
→ -3 × (-44) =
132
5.
4(y + 2)
→ y = -5
→ -5 + 2 = -3
→ 4 × (-3) =
-12
6.
-3(-2 - 5c)
→ c = 5
→ 5c = 5 × 5 = 25
→ -2 - 25 = -27
→ -3 × (-27) =
81
---
Row 3:
7.
4(2t - 6)
→ t = 20
→ 2t = 40
→ 40 - 6 = 34
→ 4 × 34 =
136
8.
-3(a - 5)
→ a = 2
→ 2 - 5 = -3
→ -3 × (-3) =
9
9.
-2(b - 2)
→ b = 3
→ 3 - 2 = 1
→ -2 × 1 =
-2
---
Row 4:
10.
2(-1 - 3n)
→ n = 12
→ 3n = 36
→ -1 - 36 = -37
→ 2 × (-37) =
-74
11.
-2(6u + 5)
→ u = 25
→ 6u = 150
→ 150 + 5 = 155
→ -2 × 155 =
-310
12.
4(z + 3)
→ z = 0.1
→ 0.1 + 3 = 3.1
→ 4 × 3.1 =
12.4
---
Row 5:
13.
2(-5 - 4t)
→ t = 20
→ 4t = 80
→ -5 - 80 = -85
→ 2 × (-85) =
-170
14.
-4(2 + 5x)
→ x = -3
→ 5x = -15
→ 2 + (-15) = -13
→ -4 × (-13) =
52
15.
(-5 + u)3
→ u = 25
→ -5 + 25 = 20
→ 20 × 3 =
60
---
Row 6:
16.
-(5 - c)
→ c = 5
→ 5 - 5 = 0
→ -(0) =
0
17.
(-2z + 3)2
→ z = 0.1
→ -2z = -0.2
→ -0.2 + 3 = 2.8
→ 2.8 × 2 =
5.6
18.
2(4 + 2y)
→ y = -5
→ 2y = -10
→ 4 + (-10) = -6
→ 2 × (-6) =
-12
---
Row 7:
19.
2(5 + 3y)
→ y = -5
→ 3y = -15
→ 5 + (-15) = -10
→ 2 × (-10) =
-20
20.
4(x + 0)
→ x = -3
→ -3 + 0 = -3
→ 4 × (-3) =
-12
21.
5(-2t - 4)
→ t = 20
→ -2t = -40
→ -40 - 4 = -44
→ 5 × (-44) =
-220
---
Final Answer:
-40, -100, -132, 132, -12, 81, 136, 9, -2, -74, -310, 12.4, -170, 52, 60, 0, 5.6, -12, -20, -12, -220
Parent Tip: Review the logic above to help your child master the concept of evaluate algebraic expressions worksheet.
