Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = c, where a, b, and c are constants.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean to solve a linear equation?

Back

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

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 5 + 3x = 8x - 15?

Back

The first step is to isolate the variable terms on one side of the equation. You can do this by subtracting 3x from both sides.

Front

Solve for x: 5 + 3x = 8x - 15

Back

x = 4

Front

What is the process to solve the equation 7x - 3x - 8 = 24?

Back

Combine like terms on the left side to simplify the equation, then isolate x.

Tags

CCSS.8.EE.C.7B

Front

Solve for x: 7x - 3x - 8 = 24

Back

x = 8

Tags

CCSS.8.EE.C.7B

Front

What is the importance of combining like terms in linear equations?

Back

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

Tags

CCSS.7.EE.B.4A

Front

Solve for x: 7x + 19 = -2x + 55

Back

x = 4

Front

What is the next step after combining like terms in the equation 8x + 2 + 3x + 5 = x + 12?

Back

After combining like terms, isolate the variable x by moving all x terms to one side and constant terms to the other.

Front

Solve for x: 8x + 2 + 3x + 5 = x + 12

Back

x = 1/2