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WorksheetsAlgebra EOC Review
Total questions: 30
Worksheet time: 2hrs 31mins
Name
Class
Date
1.
a)
-4, 2
b)
-2, 4
c)
-16
d)
-4
2.
a)
±1.5
b)
1.5
c)
±1
d)
No real solution
3.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
4.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
5.
Suzie solves the equation below:
x2 + 4x - 12 = 2
(x - 2)(x + 6) = 2,
by setting x -2 = 0 and x + 6 = 0.
Her solutions are x = 2 and x = -6.
Is Suzie correct? Why or why not?
x2 + 4x - 12 = 2
(x - 2)(x + 6) = 2,
by setting x -2 = 0 and x + 6 = 0.
Her solutions are x = 2 and x = -6.
Is Suzie correct? Why or why not?
a)
Yes, she factored correctly and then used the zero product property
b)
Yes, she factored correctly and then square rooted.
c)
No, she did factor correctly, but she can't use the zero product property as shown.
d)
No, she didn't factor correctly so the rest of her work is wrong.
6.
Solve by factoring.
-4y2 + 24y - 36 = 0
-4y2 + 24y - 36 = 0
a)
-3
b)
7/2
c)
4
d)
3
7.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
8.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
9.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
10.
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
11.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
12.
Factor
5x2-28x+32
5x2-28x+32
a)
(3x-10)(x+6)
b)
(x-8)(5x-4)
c)
(5x-8)(x-4)
d)
(5x-8)(x+7)
13.
Factor
9x2-6x-8
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
14.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, 20)
c)
(3, 5)
d)
(0, -2)
15.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
16.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
17.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
18.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
19.
Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8
-x + y = -13
-8x - 4y = -8
a)
(5, 8)
b)
(5, -8)
c)
(-5, -18)
d)
(-5, 8)
20.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
a)
y = 9.65 + x
y = 8.40 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
y = 8.40x - 58
21.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450
3x + 2y = 315
2x + 4y = 450
a)
45 minutes
b)
90 minutes
2x + 4y = 315
2x + 4y = 315
c)
60 minutes
3x + 4y = 450
3x + 4y = 450
d)
30 minutes
22.
4x+8y=20
-4x+2y=-30
-4x+2y=-30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
23.
This system has _____ solutions
a)
no
b)
1
c)
2
d)
Infinitely many
24.
How did we transform from f(x) =x2
to
g(x) = -3x2
to
g(x) = -3x2
a)
reflection in x-axis and vertical shift down
b)
reflection x-axis and vertical stretch
c)
horizontal stretch
d)
reflection x-axis and vertical compression
25.
How did we transform from the parent function?
g(x) = -1/5(x - 1)2 + 7
g(x) = -1/5(x - 1)2 + 7
a)
reflection, vertical compression, horizontal right, vertical up
b)
vertical compression, horizontal shift left, vertical shift up
c)
reflection, horizontal shift right, vertical shift down
d)
no changes were made to y = x2
26.
What is the vertical shift of this equation?
f(x) = -(x + 3)2 - 5
f(x) = -(x + 3)2 - 5
a)
left 5
b)
right 5
c)
up 5
d)
down 5
27.
What is the horizontal shift of this equation?
f(x) = 3/4 (x - 5)2 + 12
f(x) = 3/4 (x - 5)2 + 12
a)
up 5
b)
down 5
c)
left 5
d)
right 5
28.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
29.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
30.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3
(-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
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