Solving Equations

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

How do you combine like terms in an equation?

Back

You add or subtract the coefficients of the same variable.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to get the variable alone on one side of the equation.

Front

What is the solution to the equation 4a - 5 + 2a + 9 = 28?

Back

The solution is a = 4.

Front

How do you solve the equation x - 9 = -10?

Back

Add 9 to both sides to get x = -1.

Front

What is the value of 'a' in the equation 4(a - 1) + 3 = 7?

Back

The value of 'a' is 2.

Front

How do you simplify the equation 8x - 4x = 80?

Back

Combine like terms to get 4x = 80, then divide by 4 to find x = 20.

Front

What is the solution to the equation -5 + x = 13?

Back

The solution is x = 18.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form ax + b = c.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation.