Worksheets1st 9 weeks quizziz
Total questions: 77
Worksheet time: 3hrs 34mins
Name
Class
Date
1.
Add to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
(4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
2.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
3.
Simplify:
−x2 + 2−1+ 6x2 − 4x2
a)
x 2 -1
b)
x2 +1
c)
3x2 +1
d)
x 2+3
4.
57 = 2 (1 + 5n) - 5 (1 + 6n)
a)
3
b)
-3
c)
9
d)
-9
5.
-267 = -7 (7m + 1) - 3m
a)
-12
b)
5
c)
15
d)
-5
6.
Solve the Equation:
2(6b + 1) = 4(b - 5) -2
2(6b + 1) = 4(b - 5) -2
a)
b = - 2.75
b)
b = -7/8
c)
b = 3
d)
b = -3
7.
What is the value of the expression
x2 + y2 + x - y
when x = -1 and y = 3
x2 + y2 + x - y
when x = -1 and y = 3
a)
6
b)
8
c)
12
d)
16
8.
a2-b2Evaluate if a=4 and b =-2
a)
4
b)
20
c)
-4
d)
12
9.
2x + 3 + x2; for x = 4
a)
17
b)
27
c)
19
d)
25
10.
f(x)=x2-5x
f(4)=
f(4)=
a)
-4
b)
126
c)
24
d)
84
11.
Evaluate f(t)=-2t2+ 1 for f(-3)
a)
19
b)
37
c)
-17
d)
-11
12.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
13.
.
a)
Function
b)
Not a Function
14.
a)
Function
b)
Not a Function
15.
a)
Function
b)
Not a Function
16.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
17.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
18.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
19.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
20.
Solve for y:
8x + 4y= 16
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
21.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
22.
What is the range of the graph?
a)
(-∞,∞)
b)
[-2,∞)
c)
[0,∞)
d)
[3,∞)
23.
What is the range of the graph?
a)
[-2,2]
b)
[-2,1]
c)
[-4,-1]
d)
(-∞,∞)
24.
Which graphs have a range of (-∞, 3]
a)
I and II
b)
I and III
c)
II and III
d)
I , II and III
25.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
26.
In interval notation, +∞ and -∞ gets what symbol?
a)
( ) Parentheses
b)
[ ] Square Brackets
c)
{ } Curly Bracket
27.
What is m(-3) if:
a)
-3
b)
0.5
c)
3
d)
-3.5
28.
What is f(x) when x equals 4?
a)
-5
b)
0
c)
3
d)
6
29.
What is g(7) if:
a)
-17
b)
-13
c)
13
d)
17
30.
Using the pictured graph, what is f(-3)?
a)
-3
b)
-1
c)
1
d)
3
31.
Express the following in Interval Notation
-8 ≤ x < 8
-8 ≤ x < 8
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
32.
Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2) or (5,∞)
c)
[-2,5]
d)
(-∞,-2] or [5,∞)
33.
Write the following in interval notation
x ≥ 100
x ≥ 100
a)
(0, 100]
b)
(∞, 100]
c)
[100, ∞)
d)
(∞, 100)
34.
What interval notation does the number line graph represent?
a)
[∞, -5)
b)
(∞, -5)
c)
[-5, ∞)
d)
(-5, ∞)
35.
Write the following in interval notation
x < 3 or x ≥ 5
x < 3 or x ≥ 5
a)
(3, -∞) or (∞, 5]
b)
[-∞, 3) or [5, ∞]
c)
(-∞, 3) or [5, ∞)
d)
(3, -∞] or [∞, 5]
36.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
37.
Solve:
8 - 3k < 8(1 - 7k)
8 - 3k < 8(1 - 7k)
a)
k < 5
b)
k > 5
c)
k < -33
d)
k < 0
38.
3(x-2)<3(x+9)
a)
(-inf, 21) x<21
b)
(-33, inf) x>-33
c)
no solution
d)
all real numbers
39.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
40.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
41.
-8<2(x+4) or -3x+4>x-4
a)
No solutions
b)
x<-8 or x<2
c)
x>-8 or x<2
d)
x<-8 and x<2
42.
Solve: -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
43.
-6 < 2t - 5 < 3
a)
-0.5 < t < 4
b)
0.5 < t < -1
c)
-11/2 < t < 1
d)
11/2 < t < -2
44.
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
45.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
46.
−2|−2r − 4| = -12
a)
{3,1}
b)
{-3,-1}
c)
{-3}
d)
No Solution
47.
∣ 2x + 9 ∣ = 15
a)
x = 3
b)
x = 3
x = -6
x = -6
c)
x = 3
x = -12
x = -12
d)
x = 6
x = -12
x = -12
48.
y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
49.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
50.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
51.
Is this a direct variation?
y=2x
y=2x
a)
yes
b)
no
52.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
53.
Find the slope of the line that passes through (-9, -6) and (-9, -10)
a)
0
b)
Undefined
c)
-3
d)
-9
54.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
55.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
56.
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)
57.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
58.
A line is perpendicular to y = 2x - 7.
What is the slope of this line?
What is the slope of this line?
a)
-2
b)
1/2
c)
-1/2
d)
2
59.
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
60.
-4x-2y=-12
4x+8y=-24
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
61.
x-y=11
2x+y=19
2x+y=19
a)
(10,-1)
b)
(-1,10)
c)
(3,-4)
d)
(6,7)
62.
-4x - 6y = 6
4x + 6y = -4
4x + 6y = -4
a)
no solution
b)
(2,0)
c)
(-4,0)
d)
(0,0)
63.
−4x − 4y = 0
4x + 4y = 0
4x + 4y = 0
a)
(−6, −4)
b)
Infinite number of solutions
c)
(−6, 10)
d)
(6, 4)
64.
2x - y = 0
4x - y = 0
a)
(1,2)
b)
(0,0)
c)
No Solutions
d)
Infinite Solutions
65.
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)
66.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
a)
x + y = 1550
y = 4x
y = 4x
b)
x + y = 1550
y = x + 4
y = x + 4
c)
y - x = 1550
y = 4x
y = 4x
d)
y = 1550 + x
y = x + 4
y = x + 4
67.
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
a)
t + n = 54
t = 3n + 8
t = 3n + 8
b)
t + n = 54
n = 3t + 8
n = 3t + 8
c)
t + n = 54
t = 3n - 8
t = 3n - 8
d)
t + n = 8
t = 3n + 54
t = 3n + 54
68.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
69.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
70.
Describe the transformation from the Absolute Value Parent Function.
a)
Shift up 4 units
b)
Shift down 4 units
c)
Shift left 4 units
d)
Shift right 4 units
71.
What is the equation of the absolute value function?
a)
f(x)= 4|x+3|
b)
f(x)= 1/4 |x+3|
c)
f(x)= 1/4 |x - 3|
d)
f(x)= 4|x - 3|
72.
What is the equation of the graph below? You can click the picture to zoom in!
a)
y = - | x + 2| + 4
b)
y = - | x - 2| + 4
c)
y = | x - 2 | + 4
d)
y = | x - 2| - 4
73.
If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?
a)
f(x - 3)
b)
f(x + 3)
c)
f(x) + 3
d)
f(x) - 3
74.
The original graph is f(x). The new graph is up 5, left 3, and reflected across the x-axis.
a)
f(x + 3) + 5
b)
-f(x - 3) + 5
c)
-f(x + 3) + 5
d)
-f(x + 5) + 3
75.
Describe the transformation of y = f(x) for the new function
y = f(x) - 5
y = f(x) - 5
a)
The graph of y = f(x) was shifted to the right 5 units.
b)
The graph of y = f(x) was shifted to the left 5 units.
c)
The graph of y = f(x) was shifted up 5 units.
d)
The graph of y = f(x) was shifted down 5 units.
76.
Identify the transformation from the graph of f(x)=x2 to the graph g(x)= (x+5)2
a)
shifted up five units
b)
shifted down five units
c)
shifted left 5 units
d)
shifted right 5 units
77.
a)
horizontal shift to the left 2 and vertical stretch by a factor of 3
b)
horizontal shift to the right 2 and vertical stretch by a factor of 3
c)
horizontal shift to the right 2 and vertical compression by a factor of 3
d)
horizontal shift to the left 2 and vertical compression by a factor of 3
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