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Part II: Analysis of Exam Areas

3. If 3x

+ 1= 16, what is the value of x-

4?

A. 19

B. 16

C. 5

D. 1

E. –1

The key here is “find the value of x- 4.” Therefore circle “x - 4.” Note that

solving the original equation gives you only the value of x.

3x

+ 1=

16

3x

= 15

x=

5

Here again notice that 5 is one of the choices, C. But the question asks for the

value of x- 4, not just x. To continue, replace x with 5 and solve:

x- 4=

5- 4=

1

The correct answer choice is D.

4. Together a bat and ball cost $1.25. The bat costs $.25 more than the ball.

What is the cost of the bat?

A. $ .25

B. $ .50

C. $ .75

D. $ 1.00

E. $ 1.25

The key words here are “cost of the bat,” so circle those words. If you solve this

alegebraically:

x = ball

x + $. 25 = bat (costs $.25 more than the ball)

Together they cost $1.25.

42

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