Error Analysis in Solving Two Step Equations

For this item, select the answers from the drop-down menus that make the sentence true. A student solves the equation 34 = 3 (4x - 2), as shown. The student incorrectly applied the ​​ (a)   ​ between ​ (b)   .

• Steps 1 and Step 2

• Distributive Property

• Addition Property

• Commutative Property

• Division Property

• Steps 2 and 3

• Steps 3 and 4

Consider the following:

Given: 2(x + 3) + 20 = 12

Step 1: ?

Which two answers could be used as step 1 in solving this equation?

• 2x + 6 + 20 = 12

• x + 3 + 10 = 6

• 2x + 3 + 40 = 24

• x + 3 + 20 = 12

• The distributive property was incorrectly applied between the given and step 1

• The addition property of equality was incorrectly applied between steps 2 and 3.

• The multiplication property of equality was incorrectly applied between the given and step 1

• The subtraction property of equality was incorrectly applied between steps 1 and 2.

Match the correct reason for each statement.

a

b

c

f

Division Property of Equality

Subtraction Property of Equality

Symmetric Property of Equality

Addition Property of Equality

Simplify

Distributive Property

Which step contains an error?

• Step 1

• Step 2

• Step 3

• No Error

Which step contains an error?

• Step 1

• Step 2

• Step 3

• No Error

Which step contains an error?

• Step 1

• Step 2

• Step 3

• Step 4

• No Error

Which step contains an error?

• Step 1

• Step 2

• Step 3

• Step 4

• No Error

Which step contains an error?

• Step 1

• Step 2

• Step 3

• Step 4

• No Error

Which step contains an error?

• Step 1

• Step 2

• Step 3

• Step 4

• No Error