Equivalent Expressions Review

Front

What are like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, in the expression 9x + 4 + 4x, 9x and 4x are like terms.

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 involved.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 9x + 4x = 13x.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

Front

What is an expression?

Back

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

Front

What is the difference between an expression and an equation?

Back

An expression does not have an equal sign and represents a value, while an equation states that two expressions are equal.

Front

How do you simplify the expression 15x + 10 - 6x - 1?

Back

Combine like terms: 15x - 6x + 10 - 1 = 9x + 9.

Front

What is the value of the expression 3(x + 8) when x = 5?

Back

Substituting x = 5 gives 3(5 + 8) = 3(13) = 39.

Front

What is the phrase for the expression (7x - 3) + 4?

Back

The phrase is '4 more than the difference of 7x and 3'.

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.