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

What does GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest factor that two or more numbers have in common.

Front

How do you find the GCF of 10rs and 35rst?

Back

The GCF of 10rs and 35rst is 5rs.

Front

What is the result of (4y - 8) - (3y - 9)?

Back

The result is y + 1.

Front

How do you factor the expression 4x + 30y?

Back

You can factor it as 2(2x + 15y).

Front

What is the result of (-11a + 7) – (11a – 7)?

Back

The result is -22a + 14.

Front

What is the result of (7a + 4) - (9a + 2)?

Back

The result is -2a + 2.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is a coefficient in an algebraic expression?

Back

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