Linear equations (one variable)

Front

What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.

Front

How do you isolate a variable in a linear 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

Solve for t: -5t + 9 = 24

Back

t = -3

Front

Solve for m: m/9 - 1 = -2

Back

m = -9

Front

What is the first step to solve 2x - 3 = 4?

Back

Add 3 to both sides to eliminate the -3.

Front

Solve for x: -4x - 4 = 16

Back

x = -5

Front

What does it mean to 'solve for y' in an equation?

Back

To 'solve for y' means to find the value of y that makes the equation true.

Front

Solve for y: 3y + 5 = 35

Back

y = 10

Front

What is the solution to a linear equation?

Back

The solution to a linear equation is the value of the variable that makes the equation true.

Front

What is the importance of checking your solution in a linear equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.