Evaluate Using the Given Value 8a-1+0.5b when a=1/4 and b=10

$8 a - 1 + 0.5 b$ when $a = \frac{1}{4}$ and $b = 10$

Replace the variable $a$ with $\frac{1}{4}$ in the expression.

$8 (\frac{1}{4}) - 1 + 0.5 b$

Replace the variable $b$ with $10$ in the expression.

$8 (\frac{1}{4}) - 1 + 0.5 (10)$

Simplify each term.

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$4 (2) \frac{1}{4} - 1 + 0.5 (10)$

Cancel the common factor.

$4 \cdot 2 \frac{1}{4} - 1 + 0.5 (10)$

Rewrite the expression.

$2 - 1 + 0.5 (10)$

Multiply $0.5$ by $10$ .

$2 - 1 + 5$

Simplify by adding and subtracting.

Subtract $1$ from $2$ .

$1 + 5$

Add $1$ and $5$ .

$6$