4) Part A: Based on the information provided, which statement explains why his solution is incorrect?

Question

lebron attempted to solve the following equation

1/2(4x-1)=5/2+x

his work is shown below

step 1 4x-1=5+x
step 2 3x-1=5
step 3 3x=6
step 4 x=2

He forgot to multiply x by 2 in Step 1.
He added x to both sides of the equation in Step 2 instead of subtracting x
He added 1 on both sides of the equation in Step 3 instead of subtracting 1.
He multiplied by the reciprocal of 3 to get x = 2 in Step 4.

Answer 1

The correct explanation is: He forgot to multiply x by 2 in Step 1.

Answer 2

Part B: The correct answer to the equation that LeBron tried to solve below is.

lebron attempted to solve the following equation

1/2(4x-1)=5/2+x

his work is shown below

step 1 4x-1=5+x
step 2 3x-1=5
step 3 3x=6
step 4 x=2

x = 1
x = 2
x = 3
x = 4

Answer 3

The correct answer is x = 1.

Answer 4

6) Trinity solved the equation 2(x - 3) + 7 - 3x = 11. Her work is shown below. Match each justification to the correct step.

step 1 2x-6+7-3x=11
step 2 2x-3x-6+7=11
step 3 -x+1=11
step 4-x=10
step 5 x=-10

Addition Property of Equality
Multiplication Property of Equality
Wrote equivalent expression
Distributive Property
Commutative Property of Addition

Step 1 Step 2 Step 3 Step 4 Step 5

Answer 5

Step 1: Distributive Property
Step 2: Commutative Property of Addition
Step 3: Wrote equivalent expression
Step 4: Addition Property of Equality
Step 5: Multiplication Property of Equality