Using substitution to evaluate expressions

Front

What is substitution in algebra?

Back

Substitution in algebra is the process of replacing a variable with a specific value or another expression to evaluate or simplify an expression.

Front

How do you distribute in an expression like 4(2x + 10y)?

Back

To distribute, multiply each term inside the parentheses by the factor outside. For example, 4(2x + 10y) becomes 4*2x + 4*10y, which simplifies to 8x + 40y.

Front

What is the equivalent expression for 4(2x + 10y)?

Back

The equivalent expression is 8(x + 5y).

Front

How do you evaluate an expression like 7y - 3y for y=2?

Back

Substitute 2 for y in the expression: 7(2) - 3(2) = 14 - 6 = 8.

Front

What is the value of the expression 6h + 30 when h = 6?

Back

Substituting h = 6 gives 6(6) + 30 = 36 + 30 = 66.

Front

How do you evaluate the expression 4g + 2h + 4 if g = 3 and h = 9?

Back

Substituting g = 3 and h = 9 gives 4(3) + 2(9) + 4 = 12 + 18 + 4 = 34.

Front

What is the result of evaluating 4y when y = 3?

Back

Substituting y = 3 gives 4(3) = 12.

Front

What is the purpose of evaluating expressions in algebra?

Back

The purpose of evaluating expressions is to find a numerical value for the expression based on given variable values.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing operations.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.