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 the equation 7x – 4 + x = -1 + 13x + 7?

Back

One solution.

Front

How do you simplify the expression -6a + 9a + 4 - 2?

Back

The simplified value is 3a - 2.

Front

What is the first step to solve the equation 6x + 40 = 88?

Back

Subtract 40 from both sides.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width.

Front

What is the importance of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What error did Austin make in his work?

Back

Austin did not combine -3 and -9 correctly.

Front

What is the correct first step to solve the equation 2.5x + 15 = 40?

Back

Subtract 15 from both sides.

Front

What does it mean if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.