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WorksheetsFinal Review
Total questions: 61
Worksheet time: 2hrs 2mins
Name
Class
Date
1.
Solve: x2 - 8 = 41
a)
x = 49
b)
x = -7
c)
x = 7
d)
x = -49
2.
Solve: n2 + 7n = 0
a)
n=0 & n=7
b)
n=0 & n=-7
c)
n= 0
d)
n=7
3.
What type of solution would the following system have?
y = -3x
y = -3x + 7
y = -3x
y = -3x + 7
a)
One point
b)
No solution (parallel lines)
c)
Infinite Solutions
d)
Not enough information
4.
Solve using the substitution method.
y = 2x
3x + y = 20
a)
(10, 5)
b)
(4, 8)
c)
(-4, 2)
d)
(4, 2)
5.
Reduce: 12xy/4y2
a)
3xy
b)
3x/y
c)
8xy
d)
8x/y
6.
Identify the slope and the y-intercept of the equation:
y = -2 - 3/5x
y = -2 - 3/5x
a)
y-intercept = -2 & slope = -3/5
b)
y-intercept = -2 and slope = 3/5
c)
y-intercept = -3/5 & slope = -2
d)
y-intercept = 3/5 & slope = 2
7.
Find the slope between the points
(9, 5) and (4, 10).
(9, 5) and (4, 10).
a)
1
b)
-1
c)
4/6
d)
-4/6
8.
(2ab)3
a)
8a3b3
b)
2ab3
c)
6a3b3
d)
6ab
9.
Simplify this expression:
(x + 3)(2x + 1)
(x + 3)(2x + 1)
a)
2x² + 7x + 3
b)
x² + 6x + 1
c)
2x² + 6x + 3
d)
3x² + 7x + 3
10.
Simplify this expression:
2x - (10 - 3x)
2x - (10 - 3x)
a)
-x - 10
b)
5x + 10
c)
5x - 10
d)
x - 10
11.
If f(x) = 10 + √x
Find f(25)=
Find f(25)=
a)
15
b)
10
c)
20
12.
a)
x = 5 or -5
b)
x = 3 or -3
c)
x = 123
d)
None of these
13.
Factor this quadratic:
x² - 8x + 16
x² - 8x + 16
a)
(x +4)²
b)
(x - 4)²
c)
(x + 2)(x+ 8)
d)
(x - 4)(x + 4)
14.
Which of these slopes is perpendicular to the following slope?
-3/4
a)
4/3
b)
3/4
c)
-4/3
d)
-3/4
15.
Which expression represents the area of the rectangle?
a)
2x2 + 3x
b)
2x2 + 3
c)
3x + 3
d)
4x2 + 9
16.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
17.
Find the y-interecept
3x + y = 5
3x + y = 5
a)
-3
b)
(0,5)
c)
-5
d)
(0, -3)
18.
Find the x-intercept
3x + 8y = 24
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
19.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
20.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
21.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
22.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
23.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
24.
Evaluate f(-2) if f(x) = x2+ 3.
a)
-1
b)
1
c)
7
d)
-7
25.
Find the vertex y = x2 - 2x - 5
a)
V(-2, 10)
b)
V(-1, 15)
c)
V(1, -6)
d)
V(1, -12)
26.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
27.
Simplify the following expression and combine like terms: 4(4x - 3) - 3(2x + 1)
a)
22x - 15
b)
22x - 9
c)
10x - 15
d)
10x - 9
28.
Determine the inequality for the following graph:
a)
y >= -x + 3
b)
y < -x + 3
c)
y <= -x + 3
d)
y > -x + 3
29.
Determine the inequality for the following graph:
a)
y <= -2x + 2
b)
y >= -2x + 2
c)
y > -2x + 2
d)
y < -2x + 2
30.
For the exponential eq. determine the y-int and whether it will grow or decay:
a)
y: 3, Decay
b)
y: 1/2, Grow
c)
y: 1/2, Decay
d)
y: 3, Grow
31.
For the exponential eq. determine the y-int and whether it will grow or decay:
a)
y: 3/2, Grow
b)
y: 2, Decay
c)
y: 3/2, Decay
d)
y: 2, Grow
32.
What are the solutions to the following equations: 4x(3x - 2)(6x + 7) = 0?
a)
x = 0, -2/3, -7/6
b)
x = 0, 3/2, 6/7
c)
x = 0, 2/3, -7/6
d)
x = 0, 3/2, -6/7
33.
Factor the following polynomial:
a)
(x + 5)(x + 4)
b)
(x - 5)(x - 4)
c)
(x + 9)(x - 4)
d)
(x - 10)(x + 2)
34.
Factor the following polynomial:
a)
(2x + 5)(2x + 5)
b)
(4x + 5)(4x - 5)
c)
(2x - 25)(2x + 25)
d)
(2x - 5)(2x + 5)
35.
Write the equation of the quadratic in factored form:
a)
f(x) = (x + 2)(x + 6)
b)
f(x) = (x + 2)(x - 6)
c)
f(x) = (x + 2)(x - 6)
d)
f(x) = (x - 2)(x - 6)
36.
Write the equation of the qudaratic in vertex form:
a)
f(x) = (x-4)2 - 4
b)
f(x) = (x+4)2 -4
c)
f(x) = (x-4)2 +4
d)
f(x) = (x+4)2 + 4
37.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
38.
What is the vertex form for a vertex of (-3,-5) and when a=-2?
a)
y = -2(x-3)2+5
b)
y = -2(x+3)2+5
c)
y = -2(x+3)2-5
39.
What is the vertex of the function
f(x) = -x2+8x-10?
f(x) = -x2+8x-10?
a)
(4,6)
b)
(4,38)
c)
(-4, -10)
d)
(8, -10)
40.
What are the x-intercepts of the function
f(x) = 2x2+7x+3?
f(x) = 2x2+7x+3?
a)
(-0.5,0) and (-3,0)
b)
(2,0) and (-3,0)
c)
(-7,0) and (-2,0)
d)
(-0.5, 0) and (-1,0)
41.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. What equation best models this situation?
a)
y=0.05x+160,000
b)
y=160,000(0.5)x
c)
y=160,000(1.05)x
d)
None of the above
42.
Classify the given graph.
a)
exponential growth
b)
exponential decay
c)
positive linear
d)
negative linear
43.
The equation h = -16t2+25t+18 represents the height of a ball thrown into the air after t seconds. At what time does the ball reach the maximum height?
a)
.78125 seconds
b)
.75 seconds
c)
.5 seconds
d)
.687 seconds
44.
(5x4 - 4x3 - 2x2 + x - 19) - (x4 + 5x3 + 8x2 + x + 5)
a)
4x4 - 9x3 - 10x2 - 24
b)
4x4 - 9x3 - 10x2 - 2x - 24
c)
4x4 - 9x3 - 10x2 + 2x - 24
d)
-4x4 - 9x3 - 10x2 - 24
45.
(2x + 1)(x - 3)
a)
-3x - 3
b)
2x2 + 5x - 3
c)
2x2 - 5x - 3
d)
2x2 - 5x +3
46.
Find the perimeter of a rectangle with length (x-5) and width (3x+1).
a)
8x-8
b)
4x-4
c)
8x+8
d)
4x+12
47.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x2 - 3x - 11
c)
8x2 + 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
48.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
49.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
50.
a)
Non-Linear Correlation
b)
Postive, Linear Correlation
c)
Negative, Linear Correlation
d)
No Correlation
51.
Simplify: (-5x3 - 4x + 1) − (−3x3 − x − 2)
a)
-8x3 − 3x + 3
b)
−8x3 −5x − 1
c)
−2x3 − 3x + 3
d)
−2x3 − 5x + 3
52.
What is an expression for the PERIMETER of this rectangle?
a)
6x2 + 5
b)
8x2 + 14x + 6
c)
6x + 5
d)
12x + 10
53.
What is an expression for the AREA of this rectangle?
a)
6x2 + 5
b)
8x2 + 14x + 6
c)
8x2 + 6
d)
12x + 10
54.
Divide: (18x3 + 9x2 + 2x) ÷ 3x
a)
6x2 + 3x + ⅔x
b)
6x2 + 3x
c)
6x3 + 3x2 + ⅔x
d)
6x2 + 3x + ⅔
55.
Find the axis of symmetry of the graph of:
y = 2x2 + 12x − 5
y = 2x2 + 12x − 5
a)
x = 6
b)
x = −6
c)
x = 3
d)
x = −3
56.
State the y-intercept of:
y = x2 + 4x + 8
y = x2 + 4x + 8
a)
1
b)
4
c)
8
d)
−1
57.
Find the vertex of the parabola with equation:
y = x2 − 8x + 3
y = x2 − 8x + 3
a)
(8, 3)
b)
(−4, 51)
c)
(4, −13)
d)
(4, 51)
58.
Simplify completely: √32
a)
4√8
b)
2√8
c)
16√2
d)
4√2
59.
The height of a rocket, in meters, is approximated by the function:
h = −5t2 + 32t + 8
where t is the time in seconds and h is the height. What is the height of the rocket after 2 seconds?
h = −5t2 + 32t + 8
where t is the time in seconds and h is the height. What is the height of the rocket after 2 seconds?
a)
52 meters
b)
51 meters
c)
50 meters
d)
49 meters
60.
A new movie premieres on Friday and 1200 people attend. Attendance then INCREASES by 15% each day. Which of the following is the correct function to model this situation?
a)
y = 1200(1.15)x
b)
y = 1200(0.85)x
c)
y = 1200(0.15)x
d)
y = 1200(1.85)x
61.
Which of the following is not a positive causal relationship to Mr. G's happiness?
a)
red pandas
b)
Mr. Fox
c)
Teasing Air Baller
d)
fortnite
e)
vampire bonita sharkcat fish
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