Algebra Examples

Evaluate $8 a + 3 b - 10 + c^{2}$ when $a = 2$ , $b = 5$ ; and $c = 4$

Step 1

Replace the variable $a$ with $2$ in the expression.

$8 (2) + 3 b - 10 + c^{2}$

Step 2

Replace the variable $b$ with $5$ in the expression.

$8 (2) + 3 (5) - 10 + c^{2}$

Step 3

Replace the variable $c$ with $4$ in the expression.

$8 (2) + 3 (5) - 10 + {(4)}^{2}$

Step 4

Simplify each term.

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Step 4.1

Multiply $8$ by $2$ .

$16 + 3 (5) - 10 + {(4)}^{2}$

Step 4.2

Multiply $3$ by $5$ .

$16 + 15 - 10 + {(4)}^{2}$

Step 4.3

Raise $4$ to the power of $2$ .

$16 + 15 - 10 + 16$

Step 5

Simplify by adding and subtracting.

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Step 5.1

Add $16$ and $15$ .

$31 - 10 + 16$

Step 5.2

Subtract $10$ from $31$ .

$21 + 16$

Step 5.3

Add $21$ and $16$ .

$37$