Name______ANSWER KEY

Keystone Algebra 1 Review

Section I: Multiple Choice

1. ___B____ / Which number is irrational?

A. B.

C. 0.3333D.

Irrational # - any real # that can not be expressed as a ratio

Can not be a repeating # like .6666666

Can not be a terminating # like .21

Pie = 3.141592…. = keeps going on, never ending so it is irrational

2. __C_____ David bought a CD that cost $18.99 and paid $20.51, including sales tax. What was the rate of the sales tax?

A. 5%B. 3%

C. 2%D. 8%

Total Cost= $18.99 ( tax)

$20.51=1.08 = tax $18.99(1.08)= $20.51

$18.99

3. ___C____ / Which expression is equivalent to ?

A. B.

C.D.

· = =

5. __A_____ / On February 18, from 9 a.m. until 2 p.m., the temperature rose from -14°F to 36°F. What was the
total increase in temperature during this time period?

A.50°B. 36°

C.32°D. 22°

-14 to 0 =14

0 to 36 = 36

14 +36 = 50 degrees

4. __C_____ / Y=3x-2
An equation of the line that has a slope of 3 and a y-intercept of -2 is
A. B.
C. D.

A. B.

C.D.

6. __D_____ / What is the value of , if and ?

A. -2B. 2

C.10D. 14

4² -4(-3) = 16 + 12= 28=14

2 2 2

7. ___C____ / What is a common factor of and ?

A. B.

C.D.

(x+3) (x-3) (x-3)( X+2) (-3)(-2)=6 and-3 + -2 = -5

8. __D_____ / If , then equals

A. B.

C.D.

Step One: Look at the INDEX

Step Two: Separate into Perfect squares and non-perfect squares

3a +4a= 7a

9. __D_____ / What is the sum of and

A. 1B.

C.D.

Step #1: To add fractions together, you must have the same denominator. Create like denominators

2· 2= 4 x· x = x² = 4 + x²

X·2 2x 2· x = 2x 2x

10. __B_____ / If is subtracted from , the result is

A. B.

C.D.

x² 3x -2

2x² -x 6

-x² + 2x + 4

11. _B______/ The expression is equivalent to

A. B.

C.D.

(a² + b²) (a² + b²)= +2a²b²+

12. ___A____ / In the coordinate plane, the points (2, 2) and (2, 12) are the endpoints of a diameter of a circle.
What is the length of the radius of the circle?

A. 5B. 7

C. 6D. 10

(x,y) 12-2=10 radius = ½ diameter r= ½ d

½(10) = 5

13. __B_____ / What is the least common denominator of , , and ?

A. 9xB. 14x

C. 2xD.

14x…

2(7x)= 14x 7x(2)= 14x x (14)= 14x

14. __B_____ / If 3x is one factor of , what is the other factor?

A. 3xB.

C.D.

3x (x-3)

Re-Foil to check your answer!

15. _A______/ If the temperature in Buffalo is 23° Fahrenheit, what is the temperature in degrees Celsius? Use the formula .

A. -5B. -45

C. 5D. 45

C= 5/9 ( 23 – 32) = -5

20. _A_____ / The expression is equivalent to

A.2abB.

C.D. 4

Step one: Separate perfect and non perfect

= = 2ab

21. ___D____ / If , what is the value of ?

A. -12B. 0

C. 1D. 4

4 (+ (4·4

4(1) +1 = 4 =

16 16

22. ______/ In the accompanying graph, if point has coordinates , which point has coordinates ?
p (2,3) opposite (2, -3)

A. AB. B(-3, 2) = B -b,a

C. CD. D

23. _A______/ Tara buys two items that cost d dollars each. She gives the cashier $20. Which expression
represents the change she should receive?

A. B.

C.D.

$20-2d= change

24. ___D____ / The graphs of the equations and intersect in Quadrant 1 for which values of a?

A. B.

C.D.

Section II: Free Response

25. Brett was given the problem: “Evaluate when .” Brett wrote the answer was 41. Was Brett correct? Explain your answer.

Order of Operations

2(3)² +5

2(9) + 5

18 + 5 = 23 Brett was WRONG

28. Express both the perimeter and the area of the rectangle shown in the accompanying diagram as polynomials in simplest form.

(x-4)² +(x+6)² = Area

26. Kim’s mathematics teacher gave her the accompanying cards and asked her to arrange the cards in order from least to greatest. In what order should Kim arrange the cards?

3.24 2.828 3.111 3.464 1.6

1.6, 2.8, 3.1, 3.2, 3.4= 24/5, , 3.1, pie, 2