Flashcard 4.1 Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the solution of 2(x+2)=20?

Back

x=8

Front

What is the equation representing the weight of triangles, circles, and squares?

Back

2x + 2.5 = 3, where x is the weight of each square.

Front

What is the solution of 5x - 7 = 3x + 9?

Back

x=8

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution of 5x = 60?

Back

x=12

Front

What is the solution of x + 8 = 18?

Back

x=10

Front

What is the first step in solving the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to get 3x = 15.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.