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WorksheetsEnd of Semester Assignment Pre Cal
Total questions: 61
Worksheet time: 2hrs 24mins
Name
Class
Date
1.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
2.
Which equation below is a quadratic function translated left 4 units?
a)
y = x2 + 4
b)
y = (x + 4)2
c)
y = (x - 4)2
d)
y = 4x2
3.
Which equation is a quadratic function reflected over the x-axis and shifted up 2.
a)
y = x2 + 2
b)
y = -x2 + 2
c)
y = x2 - 2
d)
y = -(x + 2)2
4.
Which of the following functions has a vertex at (5, -2)?
a)
y=(x+5)2+2
b)
y=(x-5)2+2
c)
y=(x+5)2-2
d)
y=(x-5)2-2
5.
Which of the following is an x-intercept of the graph provided?
a)
(0, 1)
b)
(1, 0)
c)
(6, 0)
d)
(0, 6)
6.
Find the y-intercept of the function y = (x + 3)2 - 2
a)
(0, -2)
b)
(0, 7)
c)
(7, 0)
d)
(3, 0)
7.
Solve by factoring.
2x2-x -3=0
2x2-x -3=0
a)
x=-3/2 x=1
b)
x= 3/2 x= -1
c)
x= -3/2 x= -1
d)
x= 3/2 x= 1
8.
Solve.
3x2 - 192 = 0
3x2 - 192 = 0
a)
-32 or 32
b)
No Solution
c)
-8 or 8
d)
-64 or 64
9.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
10.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
11.
Solve by factoring.
c2 - 4c = 0
c2 - 4c = 0
a)
c = 0 or c = -4
b)
c = 0 or c = 2
c)
c = 0 or c = 4
d)
c = 1 or c = -2
12.
What does the discriminant tell us?
a)
The maximum or minimum
b)
The y-intercept
c)
The number and type of solutions
d)
The axis of symmetry
13.
How many roots and of what type for this equation?
x2+3x+6=0
x2+3x+6=0
a)
1 real
b)
2 irrational
c)
2 complex
14.
Solve by completing the square. Round.
x2 -4x = 5
x2 -4x = 5
a)
11 and -7
b)
1 and 3
c)
1.73 and -1.73
d)
5 and -1
15.
Simplify the following expression:
19 - ( 3 - 5b)
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
16.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?
a)
y = 8.5 + 25.5
b)
y = 25.5 + 8.5x
c)
y = 8.5 + 25.5x
17.
Which of the following lines is parallel to the line given by y=5x+3?
a)
y=-5x-3
b)
y=5x
c)
y=0.2x+5
d)
y=-0.2x-7
18.
Identify the slope and y-intercept of:
y = 3/2x + 3
y = 3/2x + 3
a)
slope: 5 y-intercept: 3
b)
slope: 3/2 y-intercept: 3
c)
slope: 4 y-intercept: 3/2
d)
slope: 1/5 y-intercept: 5
19.
Solve for x.
5x+4= -6
5x+4= -6
a)
2
b)
-2
c)
10
d)
15
20.
Write the equation for the line in slope-intercept form.
a)
y=-1x+3
b)
y=4x+3
c)
y=¼x+3
d)
y=-4x+3
21.
Solve the system given:
3x - y = 7
2x + y = 3
3x - y = 7
2x + y = 3
a)
(-1,2)
b)
(5,4)
c)
(4,5)
d)
(2,-1)
22.
The price of a candy cane and peppermint bark cost 7 dollars. Peppermint bark cost twice the amount of a candy cane. Which system of equation models this?
a)
c+p=7
p=2c
p=2c
b)
c+p=7
c=2p
c=2p
c)
c-p=7
2p+c=7
2p+c=7
d)
c+p=7
p+2c=7
p+2c=7
23.
Solve for x:
5x - 14 = 8x + 4
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
24.
Sarah made two types of cookies. She used 2/3 cup of sugar for one recipe and 1/4 cup of sugar for the other. How much sugar did she use in all?
a)
2/3
b)
11/12
c)
3/8
d)
4/5
25.
What must you have to add and subtract fractions?
a)
Common numerators
b)
Different numerators
c)
Different denominators
d)
Common denominators
26.
Whatever I do to the denominator, I must also do to the numerator when making equivalent fractions.
a)
true
b)
false
27.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
28.
Solve the equation:
2(x-5) + 3 = 7
2(x-5) + 3 = 7
a)
x = 10
b)
x = -7
c)
x = 7
d)
x = -10
29.
Solve:
3(2x - 5) ≤ 2x + 5
3(2x - 5) ≤ 2x + 5
a)
x ≤ 10/4
b)
x ≥ 5
c)
x ≤ 5
d)
x ≤20/8
30.
Evaluate: (xy)2 when x = 2 and y = -3
a)
36
b)
-36
c)
-6
d)
6
31.
Mr. Emig is at least 16 years older than all of his students. Which inequality could represent Mr. Emig's age?
a)
E ≥ s + 16
b)
E ≤ 16s
c)
E ≥ s - 16
d)
E ≤ s/16
32.
Choose what type of function this is:
f(x) = 3x + 1
f(x) = 3x + 1
a)
Linear
b)
Exponential
c)
Quadratic
d)
Neither
33.
Choose what type of function this is:
a)
Linear
b)
Exponential
c)
Quadratic
d)
Neither
34.
Transform into factored form:
y = x2 - 2x -3
y = x2 - 2x -3
a)
y=(x-2)(x-3)
b)
y=(x-3)(x+1)
c)
y=(x-2)(x-1)
d)
y=(x+3)(x-1)
35.
Simplify: (6x5y4)(-3xy2)
a)
3x5y6
b)
-18x6y6
c)
-18x5y8
d)
18x7y8
36.
Who is this?
a)
Chuck the Elf
b)
Friend the Elf
c)
Buddy the Elf
d)
Barry the Elf
37.
Solve the following system by graphing. What is the solution?
a)
(1, 2)
b)
(-1, 2)
c)
(2, 1)
d)
(2, -1)
38.
The vehicle of Santa Claus.
a)
WAGON
b)
CHARIOT
c)
SLEIGH
d)
CART
39.
What did Frosty do when they placed the hat on his head?
a)
He melted
b)
He danced around
c)
He flew
d)
He became a human
40.
Divide 3x4+9x3-5x2-6x+2 by 3x2-2
a)
x2+3x-1
b)
9x6+2x2-1
c)
x2-3x-1
d)
x2-1
41.
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
42.
(2x3 + 5x2 + 9) ÷ (x + 3)
a)
2x2 - x + 3
b)
2x4 - x2 + 3x
c)
2x2 + 11x + 33
d)
2x2 +x +3
43.
Factor
v2 - 6v + 9
v2 - 6v + 9
a)
(v-3)2
b)
(v-6)2
c)
(v-9)(v+6)
d)
not factorable
44.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
45.
Evaluate.
Log264
Log264
a)
A
b)
B
c)
C
d)
D
46.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
47.
Solve:
log (4x − 5) = log (2x − 1)
log (4x − 5) = log (2x − 1)
a)
0
b)
1
c)
2
d)
3
48.
log2(x + 5) = 3
a)
3
b)
4
c)
5
d)
6
49.
Expand the logarithm
log2 2xy2
log2 2xy2
a)
2log2 2 + 2log2 x + 2log2 y
b)
log2 2 + log2 x + 2log2 y
c)
log2 2 - log2 x - 2log2 y
50.
Express as a single logarithm:
log5 2 - 2log5 y
log5 2 - 2log5 y
a)
log5 (2/y2)
b)
log5 (2/2y)
c)
log5 (1/y)
d)
log5 (2y2)
51.
Solve for n:
23n = 4
23n = 4
a)
2
b)
3
c)
2/3
d)
4
52.
Solve for x:
23x + 1 = 32
23x + 1 = 32
a)
0
b)
-1
c)
5/3
d)
4/3
53.
Solve for r:
3-3r = 35
3-3r = 35
a)
-4
b)
-5/3
c)
2
d)
8
54.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
55.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
56.
Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
a)
77
b)
78
c)
87
d)
79
57.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
58.
Given y=3x determine the y-intercept
a)
(0,1)
b)
(0,3)
59.
Simplify the exponential expression.
a)
6x6y12
b)
5x5y7
c)
8x6y12
d)
2x6y7
60.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
61.
Is this exponential growth or decay?
a)
Growth
b)
Decay
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