Multi-Step Equations Quiz

The objective when solving an equation is to....

• isolate the variable.
• check the solution.
• guess and check.
• Combine Like Terms.

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides
• Add the 2a and a 
• Distribute 4 to a and -5
• Distribute -4 to a and -5

What is the first step to solving this equation:

-11 - 3x = 44 - 2x

• Add 11 to both sides

• Get the variable on one side

• Add 3 to both sides

• Add 2 on both sides.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

What is the first step to solve for b:

2b = -16

• add 2 to both sides

• subtract 2 to both sides

• multiply 2 to both sides

• divide 2 to both sides

Which property of real numbers justifies the work shown from Step 1 to Step 2?

• Distributive Property
• Commutative Property
• Identity Property
• Associative Property

 If 3x + 4x - 5 = 10, then 7x - 5 = 10

• Addition Property of Equality
• Combine Like Terms

• Subtraction Property of Equality
• Transitive Property of Equality

Which property justifies the work in solving this equation?

• Addition Property of Equality
• Additive Inverse Property
• Identity Property of Addition
• Subtraction Property of Equality

What is step 6

• Subtraction property of equality
• Addition property of equality
• Division property of equality