Question

simplifying expressions
directions: simplify each algebraic expression. type your answer in
the answer space provided. click the yellow \home\ icon to return to the
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1 distribute to get rid of
the parentheses
2 combine like terms
you should not have an
equal sign in your answer!

1. $3x^2 + 2x + (-4x^2)$
2. $-\frac{1}{2}(4x - 6)$
3. $-(3x - 4) - 2(0.5x + 1)$

Explanation:

Step1: Combine like $x^2$ terms

$3x^2 + (-4x^2) + 2x = (3-4)x^2 + 2x$

Step2: Simplify the coefficient

$-1x^2 + 2x = -x^2 + 2x$

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Step1: Distribute the $-\frac{1}{2}$

$-\frac{1}{2}(4x) - \frac{1}{2}(-6)$

Step2: Calculate each term

$-2x + 3$

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Step1: Distribute negative and coefficient

$-3x + 4 - 2(0.5x) - 2(1)$

Step2: Simplify distributed terms

$-3x + 4 - x - 2$

Step3: Combine like $x$ terms

$(-3x - x) + (4 - 2)$

Step4: Simplify coefficients and constants

$-4x + 2$

Answer:

1. $-x^2 + 2x$
2. $-2x + 3$
3. $-4x + 2$