The Daily Item, Sunbury, PA


December 1, 2012

Keystone algebra: Are you smarter than an 11th-grader?

Pass the test and graduate from high school!

 Are you smarter than an 11th-grader?

Could you pass the newest state test needed in order to graduate from high school? Take a sample test in algebra of the new Keystone Exams, which have replaced the Pennsylvania System of School Assessment tests. Students will need to pass the tests before they can graduate from high school. Answers at bottom:

Pennsylvania Keystone Algebra I Item Sampler 2011

1. An expression is shown below.


Which value of x makes the expression equivalent to 10√51

51 ?

A. 5

B. 25

C. 50

D. 100

2. Simplify: 2(2√4 ) −²

A. ⅛

B. ¼

C. 16

D. 32

3.  A polynomial expression is shown below.

(mx³ + 3) (2x³+ 5x + 2) – (8x^5 + 20x^4). The expression is simplified to 8x³ + 6x²+ 15x + 6. What is the value of m?

A. –8

B. –4

C.  4

D.  8

4. Which is a factor of the trinomial x²– 2x – 15?

A. (x – 13)

B. (x – 5)

C. (x + 5)

D. (x + 13)

5. Simplify:

x² – 3 x – 10⁄x² + 6 x + 8

; x ≠ –4, –2

A. – 1⁄ 2x – 5⁄4

B. x² – 1 ⁄2x – 5⁄4

C. x – 5⁄x + 4

D. x + 5⁄ x – 4

6. Anna burned 15 calories per minute running for x minutes and 10 calories per minute hiking for y minutes. She spent a total of 60 minutes running and hiking and burned 700 calories. The system of equations shown below can be used to determine how much time Anna spent on each exercise.

15x + 10y = 700

x + y = 60

What is the value of x, the minutes Anna spent running?

A. 10

B. 20

C. 30

D. 40

7. Samantha and Maria purchased flowers. Samantha purchased 5 roses for x dollars each and 4 daisies for y dollars each and spent $32 on the flowers. Maria purchased 1 rose for x dollars and 6 daisies for y dollars each and spent $22. The system of equations shown below represents this situation.

5x + 4y = 32

x + 6y = 22

Which statement is true?

A. A rose costs $1 more than a daisy.

B. Samantha spent $4 on each daisy.

C. Samantha spent more on daisies than she did on roses.

D. Maria spent 6 times as much on daisies as she did on roses.

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