Adding, Subtracting and Factoring Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one. It can be written in the form ax + b, where a and b are constants.

Front

How do you factor the expression 16 + 24x?

Back

Factor out the greatest common factor (GCF), which is 8: 16 + 24x = 8(2 + 3x).

Front

What is the result of (-8x + 1) – (8x – 1)?

Back

Combine like terms: -8x + 1 - 8x + 1 = -16x + 2.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by P = 2(length + width).

Front

Back

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, which are simpler expressions that multiply together to give the original expression.

Front

Can the expression 7x + 48y be factored?

Back

No, 7x + 48y cannot be factored further because there is no common factor between the terms.

Front

What is the GCF of the terms 16 and 24?

Back

The greatest common factor (GCF) of 16 and 24 is 8.

Front

What is a coefficient in a linear expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression. For example, in 4x, 4 is the coefficient.

Front

What is the difference between adding and subtracting linear expressions?

Back

Adding linear expressions combines their coefficients, while subtracting involves changing the sign of the coefficients of the expression being subtracted.