Question

Evaluate the following algebraic expressions.
Let a = 3, b = 4, and c = -2
1.7a
2.a + 3b
3.a2 + b2 + c2
4.a – b2 + c3
5.a2 + b2 – 4c2
6. 3a2 + b2 - 2c
7. 4a2b – 3b2c
8. 3a – 4b + 5c
9.3a – 5(b – c)
10 2a2 +3(b - c2)


show your solution

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Answer 1

Let a = 3, b = 4, and c = -2

$1. \: 7a \\ = 7 \times 3 \\ = 21$

$2. \: a + 3b \\ 3 + 3 \times 4 \\ = 3 + 12 \\ = 15$

$a {}^{2} + b {}^{2} + c {}^{2} \\ = 3 {}^{2} + 4 {}^{2} + ( - 2) {}^{2} \\ = 9 + 16 + 4 \\ = 29$