Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 29, 2024

Evaluate the expression $8x^2 - 7x$ given that $x = -1$ .

STEP 1

Assumptions
1. The given value of $x$ is $-1$ .
2. We need to evaluate the expression $8x^2 - 7x$ using the given value of $x$ .

STEP 2

First, we will substitute the value of $x$ into the expression.
$8x^2 - 7x$

STEP 3

Now, plug in $x = -1$ into the expression.
$8(-1)^2 - 7(-1)$

STEP 4

Evaluate the exponent in the first term.
$(-1)^2 = 1$

STEP 5

Substitute the result of the exponent back into the expression.
$8 \cdot 1 - 7(-1)$

STEP 6

Multiply the coefficients by their respective terms.
$8 \cdot 1 = 8$ $-7 \cdot (-1) = 7$

STEP 7

Now, add the results of the multiplications.
$8 + 7$

STEP 8

Calculate the sum.
$8 + 7 = 15$
The evaluated expression $8x^2 - 7x$ when $x = -1$ is $15$ .

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