Complete the table using the given information. | Algebraic Expression | Value of the Variable | Value of the Expression | |---|---|---| | (a) 7d - 23 | d = 15 | | | (b) 9g + 20 | g = 10 | | | (c) u - 7 | u = 10 | | | (d) 2k + 6 | k = 0 | | | (e) 27y | y = 3 | | | (f) 12 ÷ 2z | z = 2 | | | (g) 50w - 25 | w = 15 | |

To complete the table, we'll evaluate each algebraic expression by substituting the given value for the variable into the expression and then performing the arithmetic.
(a) Expression: 7 d − 23

Variable Value: d = 15
Substitute and Calculate: 7 × 15 − 23 = 105 − 23 = 82
Value of the Expression: 82

(b) Expression: 9 g + 20

Variable Value: g = 10
Substitute and Calculate: 9 × 10 + 20 = 90 + 20 = 110
Value of the Expression: 110

(c) Expression: u − 7

Variable Value: u = 10
Substitute and Calculate: 10 − 7 = 3
Value of the Expression: 3

(d) Expression: 2 k + 6

Variable Value: k = 0
Substitute and Calculate: 2 × 0 + 6 = 0 + 6 = 6
Value of the Expression: 6

(e) Expression: 27 y

Variable Value: y = 3
Substitute and Calculate: 27 × 3 = 81
Value of the Expression: 81

(f) Expression: 2 z 12 ​

Variable Value: z = 2
Substitute and Calculate: 2 × 2 12 ​ = 4 12 ​ = 3
Value of the Expression: 3

(g) Expression: 50 w − 25

Variable Value: w = 15
Substitute and Calculate: 50 × 15 − 25 = 750 − 25 = 725
Value of the Expression: 725

Each calculation involves substituting the given value of the variable into the expression, following the order of operations (multiplication before addition or subtraction), and arriving at the final value of the expression. By understanding how to substitute and evaluate these expressions, students practice critical algebraic skills.

Answered by BenjaminOwenLewis | 2025-07-21