WorksheetsMultiplying and factoring polynomials
Total questions: 41
Worksheet time: 2hrs 14mins
Name
Class
Date
1.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
2.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
y = 2x - 3
b)
x + y = 33
x = 2y - 3
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
x = 33 - 2y
3.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
a)
x+y=134
x+y=120
x+y=120
b)
3x+3y=134
4x+3y=120
4x+3y=120
c)
4x+3y=134
3x+3y=120
3x+3y=120
d)
7xy=134
6xy=120
6xy=120
4.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
5.
Write the inequalities represented in the picture.
a)
y > -2 + x
y ≤ 2x + 2
y ≤ 2x + 2
b)
y > 2 + x
y ≤ 2x + 2
y ≤ 2x + 2
c)
y ≥ -2 + x
y ≤ 2x + 2
y ≤ 2x + 2
d)
none of these are the system
6.
a)
A
b)
B
c)
C
d)
D
7.
a)
A
b)
B
c)
C
d)
D
8.
What is the equation that represents the exponential function in the image below?
a)
y=3(½)x
b)
y=3(2)x
c)
y=(2)x
d)
y=2(3)x
9.
Is this exponential growth or decay?
a)
Growth
b)
Decay
10.
Simplify:
(3x - 5) ( 4x2 - 2x - 3)
(3x - 5) ( 4x2 - 2x - 3)
a)
12x3 - 26x2 - 25x + 15
b)
12x3 - 20x2 - 5x + 15
c)
12x3 - 20x2 - 6x + 15
d)
12x3 - 26x2 + x + 15
11.
Simplify the expression.
x3(2x2+3x)
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
12.
Find f(2) if f(x) = 2x2- 5x
a)
6
b)
-6
c)
-2
d)
2
13.
Multiply
(x+4)(x-2)
(x+4)(x-2)
a)
x2-2x-8
b)
2x+2
c)
x2+2x-8
d)
x2+6x-8
14.
Multiply
(2x-1)(x+3)
(2x-1)(x+3)
a)
2x2+5x-3
b)
2x-3
c)
2x2+6x-3
d)
2x2-5x-3
15.
Multiply
(x+5)2
(x+5)2
a)
x2+25
b)
x2-25
c)
x2+10x+25
d)
x2-10x+25
16.
Multiply
(x2-2x+1)(x+1)
(x2-2x+1)(x+1)
a)
x3-x2-x+1
b)
x3-2x+2
c)
x3+x2+x+1
d)
x3-3x2-3x+1
17.
Simplify the expression
(x - 3)2
(x - 3)2
a)
x2 - 6x + 9
b)
x2 + 9
c)
x2 + 6x - 9
d)
x2 + 6x + 9
18.
Factor
12x3+2x2−30x−5
12x3+2x2−30x−5
a)
(2x2 + 5)(6x - 1)
b)
(6x + 1) (2x2 + 5)
c)
(2x2 − 5)(6x + 1)
d)
(6x - 1) (2x2 - 5)
19.
Factor
28v3+16v2−21v−12
28v3+16v2−21v−12
a)
(4v2 − 3)(7v - 4)
b)
(4v2 + 3)(7v + 4)
c)
(4v2 + 3)(7v - 4)
d)
(4v2 − 3)(7v + 4)
20.
Factor the polynomial.
p2 - 14p
p2 - 14p
a)
14(p2 - p)
b)
2p(p - 7)
c)
p2(1 - 14)
d)
p(p - 14)
21.
Factor the polynomial.
9m4 + 27m2
9m4 + 27m2
a)
9m2(m2 + 3)
b)
9(m4 + 3m2)
c)
m2(9m2 + 27)
d)
3m(3m2 + 9)
22.
Which function represents the table of values?
a)
f(x) = 4x
b)
f(x) = x3
c)
f(x) = 4x
d)
f(x) = 4x-1
23.
Which of the equations below represent this table?
a)
y=3⋅(36)x
b)
y=36⋅(3)x
c)
y=3⋅(⅓)x
d)
y=36⋅(⅓)x
24.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
25.
a)
A
b)
B
c)
C
d)
D
26.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
27.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
28.
Is this exponential growth or decay?
a)
Growth
b)
Decay
29.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
30.
Is the value of "B" MORE or LESS than one?
a)
More
b)
Less
31.
What is the value of "A" ?
a)
1
b)
2
c)
3
d)
0
32.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
33.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
34.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
4x3 - 5x2 + 2x - 1
a)
1
b)
2
c)
3
d)
4
35.
Simplify:
2x ( -2x -3)
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
36.
-5x6(3x2 - 12x + 30)
a)
-15x8 + 60x7 - 150x6
b)
15x8 - 60x7 - 150x6
c)
8x6 - 17x + 35
d)
-8x6 + 17x - 35x2
37.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
38.
Factor by grouping:
3x3-x2+6x-2
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
(x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the aboe
39.
If the value B is greater than 1, what type of exponential function is represented?
a)
decay
b)
growth
40.
Given the parent function, y=2x, what is the transformation?
a)
Horizontal Translation left 2
b)
Vertical Translation down 2
c)
None
d)
Reflection across the HA
41.
What kind of shift happens with this function?
a)
4 points up
b)
4 points to the left
c)
4 points to the right
d)
4 points down
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