Adding/Subtracting Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.

Front

How do you add linear expressions?

Back

To add linear expressions, combine like terms by adding their coefficients.

Front

What does it mean to subtract linear expressions?

Back

Subtracting linear expressions involves changing the sign of the expression being subtracted and then combining like terms.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Simplify the expression: 2(x + 3) + (3x + 1)

Back

5x + 7

Front

Find the difference: (8 - u) - (5u + 1)

Back

-6u + 7

Front

Simplify the expression: (6x + 3y + 4) – (8x + 9y)

Back

-2x - 6y + 4

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around the rectangle, calculated as P = 2(length + width).

Front

If the perimeter is (8x + 4) inches and the width is (3x - 4) inches, how do you find the length?

Back

To find the length, rearrange the perimeter formula: Length = (Perimeter/2) - Width.

Front

Evaluate the expression for x = 2: (8x + 4)

Back

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