Questions and Answers
Evaluate the expression: 6t - 6, for t = 6.
30
Evaluate the expression: 7d - 12, for d = 12.
72
Evaluate the expression: 10q - 11, for q = 9.
79
Evaluate the expression: a ÷ 4, for a = 32.
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Evaluate the expression: z ÷ 9, for z = 81.
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Evaluate the expression: 4d - 11, for d = 6.
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Evaluate the expression: k ÷ 3, for a = 21.
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Evaluate the expression: 12 + b, for b = 7.
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Evaluate the expression: 3 + c, for c = 7.
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Evaluate the expression: 8 - m, for m = 5.
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Evaluate the expression: 6(g + h), for g = 8 and h = 7.
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Evaluate the expression: 2xy - z, for x = 4, y = 3, and z = 1.
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Evaluate the expression: 14n + 6, for n = 4.
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Evaluate the expression: 5y + 7, for y = 20.
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Evaluate the expression: p - 5, for p = 19.
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Evaluate the expression: 3w + 3, for w = 7.
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Evaluate the expression: 55K, for K = 8.
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Evaluate the expression: 3r + 4, for r = 5.
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Evaluate the expression: 15 + 10 ÷ n, for n = 5.
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Evaluate the expression: (f - 6)², for f = 16.
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Evaluate the expression: 4(4 + m), for m = 6.
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Evaluate the expression: 15t + 10, for t = 3.
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Evaluate the expression: z + [15 - (z - 1)], for z = 4.
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Evaluate the expression: 3a + 5, for a = -5.
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Evaluate the expression: 5m + 9 + 7n, for m = 8 and n = 1.
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Evaluate the expression: 20 - 2(a - b), for a = 3 and b = 2.
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Evaluate the expression: (3b - 2a) ÷ 4, for a = 3 and b = 2.
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Evaluate the expression: 3(b + 2) - 4, for b = 2.
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Evaluate the expression: (h + 3) ÷ 5, for h = 2.
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Evaluate the expression: 3(10 - g), for g = 5.
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Evaluate the expression: 8y, for y = 9.
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Evaluate the expression: k(2n + 3), for k = 2 and n = 4.
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Evaluate the expression: 3(10p + 3z + 12), for p = 3 and z = 6.
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Evaluate the expression: 5c - 10, for c = 7.
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Evaluate the expression: 6 + d, for d = 10.
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Evaluate the expression: v + 14, for v = 7.
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Evaluate the expression: 7z - 6, for z = 8.
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Evaluate the expression: 9p + 6, for p = 9.
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Evaluate the expression: 11a + 10, for a = 6.
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Evaluate the expression: d²p for d = 7 and p = 1.
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Study Notes
Evaluating Algebraic Expressions
- Expressions consist of variables, constants, and operations, and can be evaluated by substituting given values for the variables.
- Evaluating an expression involves performing calculations according to the order of operations.
Key Evaluations and Results
- For 6t - 6 with t = 6, the result is 30.
- For 7d - 12 with d = 12, the result is 72.
- For 10q - 11 with q = 9, the result is 79.
- For a ÷ 4 with a = 32, the result is 8.
- For z ÷ 9 with z = 81, the result is 9.
Further Evaluations
- For 4d - 11 with d = 6, the result is 13.
- For k ÷ 3 with a = 21, the result is 7.
- For 12 + b with b = 7, the result is 19.
- For 3 + c with c = 7, the result is 10.
- For 8 - m with m = 5, the result is 3.
Complex Expressions
- For 6(g + h) with g = 8 and h = 7, the result is 90.
- For 2xy - z with x = 4, y = 3, and z = 1, the result is 23.
- For 14n + 6 with n = 4, the result is 62.
- For 5y + 7 with y = 20, the result is 107.
- For p - 5 with p = 19, the result is 14.
More Examples
- For 3w + 3 with w = 7, the result is 24.
- For 55K with K = 8, the result is 440.
- For 3r + 4 with r = 5, the result is 19.
- For 15 + 10 ÷ n with n = 5, the result is 17.
- For (f - 6)² with f = 16, the result is 100.
Final Evaluations
- For 4(4 + m) with m = 6, the result is 40.
- For 15t = 10 with t = 3, the result is 450.
- For z + [15 - (z - 1)] with z = 4, the result is 16.
- For 3a + 5 with a = -5, the result is -10.
- For 5m + 9 + 7n with m = 8 and n = 1, the result is 56.
Advanced Calculations
- For 20 - 2(a - b) with a = 3 and b = 2, the result is 18.
- For (3b - 2a) ÷ 4 with a = 3 and b = 2, the result is 0.
- For 3(b + 2) - 4 with b = 2, the result is 8.
- For (h + 3) ÷ 5 with h = 2, the result is 1.
- For 3(10 - g) with g = 5, the result is 15.
Final Results
- For 8y with y = 9, the result is 72.
- For k(2n + 3) with k = 2 and n = 4, the result is 22.
- For 3(10p + 3z + 12) with p = 3 and z = 6, the result is 180.
- For 5c - 10 with c = 7, the result is 25.
- For 6 + d with d = 10, the result is 16.
Summary of Variables
- Overall, the variables are substituted into algebraic expressions to find specific numerical results, demonstrating foundational algebraic skills essential for higher mathematics.
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Test your skills in evaluating algebraic expressions with these flashcards. Each card presents a different expression alongside a specific variable value for you to solve. Perfect for reinforcing your understanding of algebraic fundamentals.
