Download OAKS Test Review PRACTICE Name ANSWER KEY Date Period

OAKS Test Review
Name
PRACTICE
ANSWER KEY
Date
Period
Score
Place your answers in the answer column. Show work clearly and neatly.
FOCUS ON WHAT IS NECESSARY FOR SUCCESS!
Answers
Solve:
1.
2n – 21 = − 35
2.
− 4(4x – 3) = 3(x + 4)
1.
n = −7
2.
x = 0
Solve: (If necessary reduce fraction)
3.
1
(x + 2) =
3
4.
3y – 5x = − 12
5.
Solve and graph:
a)
Solve:
b)
Graph:
5
1
x –
6
12
x =
3.
y =
; Solve for y
4.
3
2
3
x – 4
2
5.
− 2 ≤ 2m + 3 ≤ 11
a) − 2.5 ≤ m ≤ 4
b) (Show work)
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6.
Simplify:
a)
1
4
6.
b) − 15
144
x – 19 = 101 + 5
x
a)
b)
3
no solution
4
3
4 −1
−9
−2 m n
−3
m n
7.
Simplify:
8.
Multiply and leave the result in scientific notation.
12
( 5.7 x 10
)( 4.0 x 10
•
−6
m n
−6
m
7.
− 8m
n
8.
2.28 x 10
7
)
9.
Use the quadratic formula to solve: 2x − x = 4
9. x ≈ 1.69 or – 1.19
10.
Given the function, f( x ) = − 5x + 9, find f ( − 13 )
10.
f( − 13 ) = 74
11.
24p
35
11.
2
Solve for z;
7 =
4p
5
z
6
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12.
The cost of sending an overnight package from Speedy Air is
$7.00 for the first pound and $4.00 for each additional pound.
12.
a)
Write a variable equation for the given problem.
a) C(x) = 4(x – 1) + 7
or C(x) = 4x + 3
b)
How much will it cost to send a 15 pound package?
b)
$63.00
13.
256 ft
13.
My aunt has a rectangular vegetable garden in her backyard
that has a perimeter of 80 feet. The length of the garden is 4
times the width. What is the Area of the garden?
14.
Find the area of the shaded region.
2
14.
a)
b)
The diameter of the outer circle is 12 cm and the radius
of the inner circle is 1/3 the radius of the outer circle.
8 ft
2
a)
100.48 cm
b)
106.98 ft
2
15 ft
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15.
Find the area of the square given the radius of 3.25m.
2
15.
42.25 m
16.
r = 8 ft
17.
55.43 in
18.
5
3.25 m
16.
The height of the cylinder below if 4 feet with a volume of 256π.
Find the radius.
4 ft
17.
Find the area of the equilateral triangle.
2
16 in.
18.
2
Solve for x if the area of the rectangle is 32 cm .
x – 1
x + 3
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19.
19.
1536
Given a box with the dimensions 20cm x 10cm x 15cm,
determine the number of 1.25 cm cubes needed to fill the box.
(Not drawn to scale)
20 cm
10 cm
1.25 cm
15 cm
20.
a)
20.
Given the regular polygon,
540°
b)
360°
find the sum of the interior angles.
ANSWER:
180 (# of sides – 2)
180(4) = 540°
b)
a)
find the sum of the exterior angles.
21.
21.
Given the following trapezoids,
a)
Yes
b)
35°
determine if the trapezoids below are similar.
5cm
A
3cm
B
3cm
C
10cm
E
D
6 cm
F
6cm
2.5cm D
G
b)
a)
5 cm
H
If m F = 35°, what is the m A?
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22.
22.
−
3
2
−
3
2
Find the slope of the line that goes through the points
( − 3, 4 ) and ( 7,− 11 ).
23.
23.
What is the slope of a line:
a)
a)
parallel to the line in #20?
2
3
b)
b)
perpendicular to the line in #20?
24.
24.
intersecting
Given the following equations, determine if they are parallel,
skew, or intersecting:
y = 1 x − 2
2
and
x – 4y = 2
25.
25.
Given the following graphs, determine the domain and range:
a)
a)
Domain:
All real numbers
Range:
All real numbers
b)
b)
Domain:
x ≥ −3
Range:
y ≥ −1
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26.
26.
Given the graph below,:
a) All real numbers
a)
identify the domain
b)
identify the range
c)
find f( − 6 )
d)
27.
b)
y ≥ −4
c)
f( − 6 ) = 6
d)
f( − 3 ) = − 4
27.
8.48cm
find f( − 3 )
2
Given the Pie Chart below with a radius of 3cm, determine the
area of the sector that represents the 10th Grade enrollment.
School Enrollment
9th Grade
11th Grade
25%
25%
10th Grade
12th Grade
20%
30%
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28.
28.
11.78 ft
29.
28 min
Determine the arc length of the shaded sector below given that
the radius of the circle is 5 feet and the measure of the
intercepted arc is 135°.
5 ft
135°
29.
If a runner travelled 5 miles in 17.5 minutes, how long will it
take him to run 8 miles?
30.
30.
Suppose a math club has 15 members with the following ages:
25, 31, 25, 30, 32, 25, 32, 28, 8, 31, 19, 29, 17, 27, 16.
a)
Find the mean.
b)
Find the median.
c)
Find the mode.
d)
Which of the measures of central tendency above best
represents the given data?
31.
Determine the total number of way to arrange the letters in the
word: MATH.
32.
There are 20 students in your math class. Your teacher is
selecting 4 students to help distribute textbooks. Determine the
total number of different groups of 4 students your teacher
could choose.
a)
25
b)
27
c)
25
d)
Median
31.
24
32.
4845
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33.
33.
$29.44
You and two friends mow lawns around the neighborhood to
make a little extra money. You can mow 6 average size lawns
with one gallon of gas. Gas costs $3.50 per gallon. You charge
$5.00 per lawn. If you and your friends mow a total of 20
average size lawns over the weekend and you are dividing the
profits evenly between the three of you, how much will you get?
34. 27172 million mi
34.
35.
Assume the earth orbits the sun in a circle (It is actually
elliptical!) and the (average) distance from the earth to the sun
is 93 million miles. Determine the approximate distance the
earth travels in one year.
35.
1
6
36.
12
If you roll one red and one green balanced six-sided die, what is
the theoretical probability the sum of the dice will be seven?
36.
A fair coin is flipped 30 times and came up HEADS 18 times.
What is experimental probability of the coin coming up TAILS?
37.
Indicate why the chart below is misleading.
37.
Begins at 53
instead of zero
mis-representing
the republicans and
the independent count
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