Basic Algebra Review

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: 8(x + 5) - 4(x + 4)

Back

4x + 24

Front

Simplify the expression: 6(x + 1) - 5(x + 2)

Back

x - 4

Front

What is the first step in solving the equation: 5x + 7 = 12?

Back

Subtract 7 from both sides.

Front

Solve for x: 8x - 10 = -34

Back

x = -3

Front

What is the solution to the equation: 5b - 6 = 24?

Back

b = 6.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the purpose of combining like terms in algebra?

Back

Combining like terms simplifies an expression by reducing the number of terms and making it easier to solve.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is the solution set of an equation?

Back

The solution set is the set of all values that satisfy the equation.