Solving Linear Equations in One Variable

Front

What is a linear equation in one variable?

Back

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

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What is the first step to solve the equation g - 3 = -12?

Back

Add 3 on both sides of the equal sign.

Front

Solve for z: 144 = 12z.

Back

z = 12.

Front

Solve for m: 18 + m = 8.

Back

m = -10.

Front

Solve for x: x - 10 = -6x + 4.

Back

x = -2.

Front

What does it mean to isolate the variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the purpose of balancing an equation?

Back

To ensure that both sides of the equation remain equal after performing operations.

Front

What operation would you perform to both sides of the equation 2x + 5 = 15 to isolate x?

Back

Subtract 5 from both sides.

Front

If you have the equation 3x = 9, what is the value of x?

Back

x = 3.