Front

What is the distributive property in algebra?

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

Simplify the expression: 3(2x + 4) - 5.

Back

6x + 12 - 5 = 6x + 7.

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 variable(s) involved.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable: 2x = 8.

Front

What is the purpose of using parentheses in algebraic expressions?

Back

Parentheses indicate which operations should be performed first in an expression, following the order of operations.

Front

What is the result of simplifying the expression: 4x + 2y - 3x + 5y?

Back

x + 7y.

Front

What is the formula for calculating a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 20% of x, use 0.20 * x.

Front

What is the total cost of an item after a 20% discount and 5% sales tax on an original price of x?

Back

Total cost = x(0.80)(1.05).

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.