Using properties to solve equations and Error Analysis

Is there a mistake on the equation solved? If so where was the mistake made?

• This equation is solved correctly.

• The mistake was made on the first step of combining like terms on the left side.

• The mistake was made on the second step of moving the variable to the left side.

• The mistake was made on the third step of moving the constant to the right side.

• The mistake was made on the last step when isolating the variable by removing the coefficient

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

An equation and its steps to solve are shown.

Between which two steps did Sandra use the Distributive Property of Equality?

• Between the Given and Step 1

• Between Steps 2 and 3

• Between steps 3 and 4

• Between steps 4 and 5

• Addition property of equaility

• Division property of equality

• community property of multiplication

• Subtraction property of equality

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

• 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

Distributive Property

Addition Property of Equality

Division Property of Equality

Simplify

Symmetric Property of Equality

Subtraction Property of Equality

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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