Chapter 3 - Expressions Review NO FACTORING

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

How do you find the difference between two expressions?

Back

To find the difference, subtract one expression from the other.

Front

What is the perimeter of a shape?

Back

The perimeter is the total distance around the outside of a shape, calculated by adding the lengths of all sides.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its three sides.

Front

How do you distribute in algebra?

Back

To distribute means to multiply each term inside parentheses by the term outside. For example, in 5(2x - 3), you would calculate 5*2x and 5*(-3).

Front

What is the result of combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

What is the value of x in the expression 2x + 3 = 11?

Back

To find x, subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.