Solving equations

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 does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What is the first step in solving the equation (w + 6) 2 = 20?

Back

The first step is to divide both sides of the equation by 2 to isolate the expression (w + 6).

Front

Solve the equation (w + 6) 2 = 20. What is w?

Back

w = 4.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you apply the distributive property to -9(w - 4)?

Back

You multiply -9 by both w and -4, resulting in -9w + 36.

Front

Solve the equation -9(w - 4) = 54. What is w?

Back

w = -2.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify the expression 4 + 7a + 6 - 2a. What is the simplified form?

Back

The simplified form is 10 + 5a.