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WorksheetsGRADE 9 REVIEW
Total questions: 20
Worksheet time: 34mins
Name
Class
Date
1.
What kind of variation does this equation show?
y = 6x
y = 6x
a)
Inverse Variation
b)
Direct Variation
c)
No Variation
d)
Joint Variation
2.
Does the equation show an inverse variation?
y=10/x
y=10/x
a)
yes
b)
no
3.
If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?
a)
18 days
b)
20 days
c)
22 days
d)
24 days
4.
The formula for Combined Variation is represented as:
a)
y = kx
b)
y = k/x
c)
y = kxz
d)
y = kx/z
5.
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
6.
Suppose y varies directly as x.
If y = 22.5 when x = 15, find y when x = 20.
If y = 22.5 when x = 15, find y when x = 20.
a)
1.5
b)
337.5
c)
30
d)
16.875
7.
Write the mathematical equation of the given statement: (no spacing, use / for fraction bar)
The time (t) needed to answer a set of problems is directly proportional to the number (N) of problems, and inversely proportional to the number of students (P) working on the solutions.
(a)
8.
1. Which of the following is the equation of variation where c varies jointly as g and f and c=24 when g=2 and f=3.
a)
A. K = cgf
b)
B. C=kgf
c)
C. G = kcf
d)
D. F=kcg
9.
Simplify 3-3
a)
-27
b)
-9
c)
-1/9
d)
1/27
10.
Simplify (-8)-2
a)
1/-82
b)
1/82
c)
1/64
d)
-64
11.
y⁻¹⁰
a)
1 ⁄ y¹⁰
b)
y¹⁰
c)
-y¹⁰
d)
-1 ⁄ y¹⁰
12.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
13.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
14.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
15.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
16.
(7uv2)-5
a)
-35uv-10
b)
-5/7uv2
c)
1/75u5v10
d)
1/7uv10
17.
4x212x5
a)
3x
b)
3x7
c)
3x3
18.
(2x4y5)3
a)
4x12y15
b)
4x7y8
c)
8x12y15
19.
Power to a Power Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
20.
Negative Exponent Law states: you must change the exponent to a positive by doing what?
a)
just change it to positive
b)
move to the bottom of fraction bar
c)
move it to the opposite side of fraction bar
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