02/11 Solving Equations (Variable on One Side)

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing 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 are like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

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 parenthesis.

Front

How do you combine like terms in the equation 3y + 4y + 6 = 20?

Back

Combine 3y and 4y to get 7y, resulting in the equation 7y + 6 = 20.

Front

What is the first step to solve the equation 4 = 2(x + 3)?

Back

The first step is to apply the distributive property: 4 = 2x + 6.

Front

What does it mean to isolate the variable?

Back

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

Front

Back

k = 8.

Front

Solve the equation: 3y + 4y + 6 = 20

Back

y = 2.

Front

What will the equation look like after you combine like terms in -5x + 5 = 35?

Back

The equation remains -5x + 5 = 35.