Solving Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

What does it mean to evaluate an algebraic expression?

Back

To evaluate an algebraic expression means to substitute the values of the variables into the expression and perform the operations to find a numerical result.

Front

How do you substitute a value into an algebraic expression?

Back

To substitute a value, replace the variable in the expression with the given value and then simplify the expression.

Front

What is the distributive property in algebra?

Back

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

Front

Evaluate the expression 2(a + 3) when a = 4.

Back

14

Front

Evaluate the expression 3f + 5 when f = 8.

Back

29

Front

What is the coefficient in the expression 3x + 4?

Back

The coefficient is the number in front of the variable, which is 3 in this case.

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

Evaluate the expression z + 6z when z = 4.

Back

28

Front

What is the constant in the expression 3k + 8 + 5 - 5k?

Back

The constants are the numbers that do not change, which are 8 and 5.