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 the first step in solving the equation 2 + 14a = -8 + 9a?

Back

The first step is to isolate the variable 'a' by moving all terms involving 'a' to one side and constant terms to the other side.

Front

Solve for a: 2 + 14a = -8 + 9a

Back

a = -2

Front

What is the solution to the equation 6k = 30?

Back

k = 5

Front

How do you isolate 'y' in the equation 2y + 7 = 11?

Back

Subtract 7 from both sides to get 2y = 4, then divide by 2 to find y = 2.

Front

Solve for y: 2y + 7 = 11

Back

y = 2

Front

What is the process to solve h/4 + 9 = 11?

Back

Subtract 9 from both sides to get h/4 = 2, then multiply both sides by 4 to find h = 8.

Front

Solve for h: h/4 + 9 = 11

Back

h = 8

Front

What does the distributive property state?

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.