Download Test #5b

NAME________________________DATE____________________PERIOD_____
TEST #5: FACTORING
FORM B
PART 1. SHORT ANSWER
Factor completely and write the answer in the blank provided. If the polynomial won’t
factor at all, then write PRIME.
5 POINTS EACH
1. 2a² -7a - 15
2. 81x² - 121
3. 3c² + 24c + 45
4. m² - 6m – 27
5. 6x² + 5x - 6
Answer:___________________
Answer:__________________
Answer:__________________
Answer:__________________
Answer:__________________
6. 5x³y – 55x²y² + 30x
Answer:__________________
7. 7n² - 29n + 4
Answer:___________________
8. 8a³ + 24a
Answer:__________________
9. 2r² - 3r + 12
Answer:__________________
10. 12a² - 48
Answer:___________________
11. 5a² - 3ab – 8b²
Answer:___________________
12. The area of a rectangular piece of cardboard is represented by 3r² - 5r - 12. Find
the dimensions of the piece of cardboard.
Answer:___________________
PART 2. MULTIPLE CHOICE
Choose the best answer for the each of the following, then write its correct letter on the
blank provided.
3 POINTS EACH
__________13. What are the factors of the following?
A. ( x + 1 ) ( 2x + 3 )
B. ( x + 3 ) ( x + 4 )
C. ( 2x + 3 ) ( 2x + 1 )
D. ( x + 3 ) ( 2x + 1 )
__________14. Solve: 7x – 9 > 3x + 19
A.
B.
C.
D.
E.
x>7
x>7
x=7
x<7
x<7
__________15. If the length of a rectangle is 3x – 2y and the width is 3x – y, which
expression would represent the area of a rectangle?
A. 9x2 – 9x + 2
B. 9x2 – 3xy + 2y2
C. 9x2 – 9xy + 2y2
D. 9x2 – 12xy + 4y2
8r 5 s  40rs5  28r 2 s 4
__________16. Divide:
 4r
A. –2r5s + 10s5 + 7r2s4
B. 2r4s – 10s5 – 7rs4
C. -2r4s – 10s5 – 7rs4
D. –2r4s + 10s5 + 7rs4
__________17. What is the value of y if x is 2?
y
x3
x6
1
8
1
B.
6
1
C.
4
1
D.
2
E. Not Here
A.
__________18. Which equation below describes
the graph shown?
A.
B.
C.
D.
E.
x - 3y = 3
3x + y = 3
3x – y = 3
3x + y = -3
x + 3y = -3
__________19. Renee earns a salary or $220 per week. She also receives a
1.5% bonus on her total sales, x. Which equation can be used
to find Renee’s total earnings, e, for 1 week?
A. e = 220 + 0.015x
B. e = ( 220 + 0.015)x
C. e = 220 + 1.5x
D. e = 220 – 0.015x
E. e = ( x – 220 )  1.5
__________20. Shannon purchased 2 blank cassette tapes and 3 blank
videotapes for a total of $18.15, not including tax. If each
videotape cost 3 times the price of a cassette tape, what did
Shannon pay for 1 videotape?
A. $10.89
B. $6.05
C. $4.95
D. $3.63
E. $1.65
__________21. The length of a side of a square is described by the expression
3x + 4. What is the area, A, of this square in terms of x?
A. 12x + 16
B. 9x² - 16
C. 9x² + 16
D. 9x² + 24x + 16
E. 6x + 8
__________22. The graph below shows the amount a babysitter earns working at a
rate of $2 per hour. The equation is a = 2h, where a is the amount in
dollars and h is the number of hours worked. How would the graph
change if the person began charging $3 per hour?
10
A. The new graph would be a vertical line.
C. The new graph would be steeper than the
first graph.
D. The new graph would be a horizontal line.
Amount in Dollars
B. The new graph would be less steep than the
first graph.
9
8
7
6
5
4
3
2
1
0
1 2
0
E. The new graph would have the same slope
But a greater y-intercept than he first graph.
3 4 5 6 7 8 9 10
Number of hours
__________23. The sides of a rose garden in the shape of a right triangle are in the
ratio of 8:15:17. If the perimeter is 60 feet, what is the length of the
shortest side?
A. 20 ft
1
B. 25 ft
2
C. 20 ft 5
D. 22
1
ft
3
1
ft
2
E. 12 ft
24. In an electrical transformer, voltage varies directly as the number of turns on the
coil. If 110 volts come from 55 turns, what would be the number of volts produced
by 66 turns? Record and bubble in your answer.
.
+
-
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
__________25. What relationship is shown between the values in the table below?
x
y
A.
B.
C.
D.
E.
2
5
y = 2x + 2
y=3(x–1)
y = 3x + 1
y = 3x – 1
y=x+3
3
8
5
14
6
17
8
23
9
26