Basic Linear Equations

The first term to move to the other side in this equation, -5 + -6x = 19, is:

• 6

• -5

• -6

• 6

How is the constant in this equation, -5 + -6x = 19, connected to the variable? So which inverse should I use to move it to the other side?

• It is connected with a thin thread, so the sewing inverse should be used

• it is connected with multiplication, so the multiplicative inverse should be used

• It is connected with numbers, so the property of inverse should be used

• it is connected with addition, so the additive inverse should be used

What is the additive inverse of -5 and what do I do with it in thise equation? -5 + -6x = 19

• the additive inverse is five and you add it to the negative five

• the additive inverse is negative five and you add it to both sides of the equation

• the additive inverse is negative five and you add it to the negative five

• the additive inverse is positive five and you add it to both sides of the equation

How is the coefficient connected to the variable in this equation, -6x = 24, so which inverse should I use to move it to the other side?

• the coefficient is connected to the variable with multiplication so I would use the multiplicative inverse

• the coefficient is connected to the variable with addition so I would use the additive inverse

• the coefficient is connected to the variable with subtraction so I would use the subtraction inverse

• the coefficient is connected to the variable with division so I would use the dividend inververe

What is the purpose of a linear equation?

• take all the terms to one side

• solve the addition problem

• solve the multiplication problem

• for for the variable

x + 40 = 56

• x = 16

• x = 96

• x = 15

• x = 10

x - 32 = 49

• x = 17

• x = 71

• x = 81

• x = 49

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.

4x = 44

• x = 4

• x = 11

• x = 12

• x = 176

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3