Foundations Review

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 two or more terms inside a set of parentheses.

Front

Simplify the expression: e(f + g)

Back

The expression e(f + g) simplifies to ef + eg.

Front

What is the quotient rule in algebra?

Back

The quotient rule states that when dividing two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

Evaluate the expression using the quotient rule: x^13 / x^8

Back

Using the quotient rule, x^13 / x^8 = x^(13-8) = x^5.

Front

Solve for x: -2x - 2(-7x - 16) = 152

Back

x = 10.

Front

What is the result of distributing 3 in the expression 3(2c - 5)?

Back

The result is 6c - 15.

Front

Back

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary parentheses.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.