7 Lesson 4: Writing and Evaluating Expressions (Combining Like Terms and Substitution

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 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. For example, in 2x + 3x, you can combine to get 5x.

Front

What is the purpose of substitution in algebra?

Back

Substitution is used to replace a variable with a specific value to evaluate an expression. For example, if x = 2 in the expression 3x + 4, substituting gives 3(2) + 4 = 10.

Front

Write an expression for the total cost of downloading 'g' games if each game costs $1 and there is a $13 membership fee.

Back

The expression is 1g + 13.

Front

Simplify the expression: 2x + 1 + 7x.

Back

The simplified expression is 9x + 1.

Front

What is the simplified form of 3 + 5x + 8 - 2x?

Back

The simplified form is 11 + 3x.

Front

How do you write an expression for '8 more than f'?

Back

The expression is f + 8.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation. For example, in the expression 2x + 3, 'x' is the variable.

Front

What does it mean to evaluate an expression?

Back

Evaluating an expression means to calculate its value by substituting the variables with specific numbers. For example, evaluating 3x + 2 when x = 4 gives 3(4) + 2 = 14.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. In the expression 5x, 5 is the coefficient of x.