Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Use the distributive property to simplify: 5(2f + 4)

Back

10f + 20

Front

How do you write an expression for a quantity that is more than another quantity?

Back

You can write it as the sum of the two quantities. For example, if 300 canned goods were brought in and x more were brought in, the expression is 300 + x.

Front

If c represents the number of cookies baked on Saturday, how do you express the number baked on Sunday if it is twice as many?

Back

The expression is 2c.

Front

Evaluate the expression 3(2x + z) when x=8 and z=2.

Back

54

Front

What is the value of the expression 3x + 8 when x = 2?

Back

14

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents a number that can change or vary. For example, in the expression 2x, x is the variable.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a number that is multiplied by a variable. In the expression 4x, 4 is the coefficient.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers.