WorksheetsSimple Math (9th or 10th Grade)
Total questions: 37
Worksheet time: 7mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
Factor x2-20x+51
a)
(x-17)(x+3)
b)
(x+17)(x+3)
c)
(x+17)(x-3)
d)
(x-17)(x-3)
3.
Which of the following statements is true?
a)
(a) The absolute minimum of a function can occur at an endpoint.
b)
(b) The absolute minimum of a function cannot be a local minimum.
c)
(c) A local maximum can occur at an endpoint.
4.
A function f has an absolute maximum on an interval provided
a)
(a) f is continuous on the interval.
b)
(b) the interval is closed.
c)
(c) the interval is closed and f is continuous on the interval.
5.
A critical point of the function f occurs at an interior point c
a)
(a) only when f ′(c) = 0
b)
(b) only when f ′(c) fails to exist.
c)
(c) when either f ′(c) = 0 or f ′(c) fails to exist.
6.
a)
B
b)
C
c)
D
d)
E
7.
a)
A
b)
B
c)
C
d)
D
8.
y = 5/√(x-3) solves a differential equation. What is the domain of y?
a)
x > 3
b)
x < 3
c)
-3 < x < 3
d)
x ≠ 3
9.
Let dy/dx = 3(y - 4)(y - 7) and y > 0.
For what values of y is dy/dx > 0?
a)
y > 4
b)
y > 7
c)
0 < y < 4
d)
0 < y < 7
10.
∫ t⁶ dt
a)
6t⁵
b)
6t⁵ + C
c)
1/7 t⁷ + C
d)
t⁷ + C
11.
∫ - sinx dx
a)
-cos x + C
b)
cos x + C
c)
tan x + C
d)
1/√1- x²
12.
Find the magnitude of the vector <-5, 12>
a)
13
b)
10.91
c)
7
d)
17
13.
Given u = <3, 7> and v =<-5, 4>, find 2v - 3u
a)
<21, 2>
b)
<-19, -13>
c)
<-15, 3>
d)
23
14.
What is the best term to describe this image?
a)
intersecting lines
b)
perpendicular lines
c)
parallel lines
d)
arrows
15.
How many right angles does a square have?
a)
2
b)
4
c)
not sure
d)
1
16.
cos-1(0) =
a)
½π
b)
π
c)
1
d)
none of these
17.
sin-1[cos(3π)] =
a)
-1
b)
-½π,-90⁰
c)
-π, -180⁰
d)
none of these
18.
Find the derivative of the given equation
f(x) = x3 + x2 + 3
f(x) = x3 + x2 + 3
a)
3x2 + 2x
b)
3x + 2x
c)
3x + 2x + 3
d)
x3 + x2
19.
Differentiate y= 12x-2
a)
24x-1
b)
-24x-3
c)
-24x-1
d)
6x-3
20.
What is the RANGE of this graph?
a)
-7<x<5
b)
-7≤x<5
c)
-3<x<1
d)
-3≤x<1
21.
What is the DOMAIN of this function?
a)
-∞≤y≤∞
b)
-∞≤x≤∞
c)
∞<x<∞
d)
-∞<x<∞
22.
a)
[-3, 2)
b)
(-4, 2]
c)
(-5, 2]
d)
[-4, 2]
23.
When is the graph negative
a)
-4 < x ≤ 5
b)
-4 < x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
24.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
25.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
26.
In the equation (x-4)2+(y-3)2=25, the radius is
a)
4
b)
3
c)
5
d)
25
27.
What is the value of a2 for the given hyperbola?
a)
1
b)
5
c)
25
d)
16
28.
What is the equation describing the relationship between dimensions and foci of a hyperbola?
a)
c2 = a2 + b2
b)
c2 = a2 - b2
c)
4p
d)
(x-h)2 + (y-k)2 = r2
29.
See Picture
a)
A
b)
B
c)
C
d)
D
30.
What is the center of the shifted ellipse?
a)
(0,0)
b)
(-3,1)
c)
(1,-3)
d)
(3,-1)
31.
What is the equation for the focus points on an ELLIPSE?
a)
c2 = a2 + b2
b)
c2 = a2 - b2
c)
1/4d
d)
(x-h)2 + (y-k)2 = r2
32.
Simplify √-4
a)
2i
b)
-2i
c)
2
d)
4i
33.
Simplify -√-8
a)
-i√8
b)
-2i√2
c)
2i√2
d)
-8i
34.
Calculate:
i + 6i
i + 6i
a)
6i2
b)
7i
c)
5i
d)
7i2
35.
Calculate:
(4 − 7i) − (-3 + 6i)
(4 − 7i) − (-3 + 6i)
a)
7 − 13i
b)
7 − i
c)
1 − 13i
d)
1 − i
36.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
37.
Find the sum.
(5-2i) + (-7+8i)
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
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