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 -3x + 9 = -18?

Back

The first step is to isolate the term with the variable by subtracting 9 from both sides.

Front

What is the solution to the equation x + 5 = 12?

Back

x = 7.

Front

How do you simplify the expression 5q + 17 + 8q - 12?

Back

Combine like terms: 5q + 8q + 17 - 12 = 13q + 5.

Front

What is the simplified form of 15 - 3m - 4m - 12?

Back

Combine like terms: 15 - 12 - 3m - 4m = 3 - 7m = -7m + 3.

Front

If Mr. Cowan spends $46 on tickets, with adult tickets at $10 and child tickets at $6, how do you write the equation?

Back

Let c be the number of child tickets. The equation is: 10 + 6c = 46.

Front

What is the value of c in the equation 10 + 6c = 46?

Back

c = 6.

Front

What is a variable in an equation?

Back

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

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself.