9th grade math test
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Name _____________________ Date:_____________________
Solve the following problems
1.
A. y > x
B. x = y
C. y > z
D. x > z
Name _____________________ Date:_____________________
Solve the following problems
1.
A. y > x
B. x = y
C. y > z
D. x > z
2.
A man selling hot dogs, french fries, and a soda as a combo meal at a fairground has to pay the country 250 dollars each day plus 2 dollars per combo meal sold.The price of a combo is 7 dollars.How many combo meals must he sell each day to break even?
A. 25
B. 50
C. 35
D. 70
3.
Simplify (4
^{1/3})
^{3} × (6
^{1/6})
^{6} × (3
^{1/2})
^{4}
A. 416
B. 116
C. 316
D. 216
4.
A and B are independent events.

and P(A and B) =
1
/
4
,what is P(B)?

5.
a. Choose the correct information about the the graphs of the two lines below
5x  y  2 = 0
y  3x = 9
a.
A. Intersect at (5.5, 25.5)
B. Parallel
C. Identical
D. Perpendicular
b. What are the slopes of the graphs?
b. _____________ and _____________
6.
A rectangle has a perimeter of 18 inches. The long side is 1 inch more than three times the small side. How big is the small side
The small side is ____________
7.
The seventh term of the sequence 16, 9 , 2, 5,... is
A. 37
B. 37
C. 26
D. 26
8.
Find the degree of 2x
^{3} + 6x
^{4} + 4x
^{2}  1
a.
A. 3
B. 2
C. 4
D. 3 + 4 + 2
9.
Find the greatest common factor of the terms of 16x
^{6} + 8x
^{4} + 2x
^{12}
A. 8x
^{12} B. 2x
^{4} C. x
^{6} D. 4x
^{6}
10.
What is the maximum or minimum value of y = x
^{2} + 3x  10 ?
The value is y = ____________
11.
Table 1
Table 2
a. Which relations are functions? Put a check mark next to the table that is a function
Table 1 ___________
Table 2 ___________
b. If a table is a function, model the table with a function.
12.
Evaluate  y  x  + y
^{2} + 2z + x
^{2}y
^{3}z
^{2} for x = 3, y = 2, and z = 2
13.
There are 6 red balls and 4 blue balls in a bag.
Find each probability
P(red and red ) with replacing
P(red and blue) with replacing
P(red and red) without replacing
P(red and blue) without replacing
14.
Solve 3(2x  1) = 4x + 5
15.
Simplify (4x
^{3}  5x
^{3} + x + 8 )  (3x
^{3}  4x + 9 + 6x
^{2} )
16.
What is the standard form of the product (3x  1) (5x + 3)
A. 15x
^{2} + 2x + 3
B. 15x
^{2} + 4x  3
C. 15x
^{2} + 4x + 3
D. 15x
^{2} + 2x  3
17.
Triangle ABC is a right triangle with a right angle at A. Which of the following is false?
18.
Find the median and mode of this set of data
5 , 1, 3, 5, 8 , 10, 8, 14
19.
Find the equations that are parallel and perpendicular to x + 5y = 50 and passing through the points (5, 10)
20.
Simplify (1.5 × 10
^{8})(6 × 10
^{8})
21.
Simplify each radical expression
a.
b.
√8x^{8} / 2x^{2}
21.
Simplify each radical expression
a.
b.
√8x^{8} / 2x^{2}
22.
Solve the inequality 2y  4x < 6 for y. Then, give 2 points that are solutions
23.
a. Factor x
^{2}  8x  20
b. Solve x
^{2}  8x  20
24.
Solve 12x
^{2} + 7x  10
25.
Solve the following proportion by setting up a proportion
The hours of operation of a park is 8:00 am  10:00 pm Wednesday through Sunday. A Ferris wheel can make a 360 degrees turn 5 times every 10 minutes. How many 360 degrees turn can the Ferris wheel make in a week?
26.
How can you find out how many solutions a quadratic equation has without solving the quadratic equation?
27.
The solution of the system ax  4y = 8 and 6x + by = 30 is (2, 3)
1. Find a and b
2. Replace a and b into the system. Then solve the system to verify that the solution is indeed (2, 3)
28.
Find the value of
_{6}P
_{4}
29.
Simplify
30x^{4}y^{8}z
/
50x^{10}y^{7}z
30.
What is the value of the f(x) =
8
/
x  2
for x = 2
a.
A. 0
B. undefined
C. 2
D. 2
31.
Solve the equation 2 +
√y  5
= 10
32.
Write a function rule for the following table
x

y

0

4

6

5

12

6

24

7

33.
Suppose x  25 = 75, what is x + 25? What is x + 50?
34.
What is the length of the diagonal of a rectangle with sides equal to 9 and 12?
35.
What are extraneous solutions and what type of equations give extraneous solutions?
36.
Solve and graph 42x  5 ≥ 20
37.
Graph the following functions using what you know about the graph of y = x
a. y = x  4
b. y = x + 2
c. y = 2x
d. y = 2x  4 + 2
38.
The product of two positive integers is 45. The second is 4 more than the first. Find the integers by setting up an equation
39.
What is the percent of decrease from 12 to 4?
40.
A company enrolls computer programmers and secretaries at a ratio of 5 to 3. There are a total of 24 secretaries and computer programmers. How many people are secretaries? How many are computer programmers?
41.
The price p of an item is sold with a discount of 20%. The expression that represents the sale price of the item is ___________
A.p  20p
B. 0.20p
C. p + 0.20p
D. p  0.20p
42.
43.
The sides of a rectangle are 5x + 10 and x  4
a. Write an expression for the perimeter.
b. Write an expression for the area.
c. For what value of x is the area the biggest?
44.
Simplify
4x  20
/
x^{2}  10x + 25
45.
Find the horizontal and vertical asymptotes of the function below
46.
Simplify
x  6
/
x^{2}  x

÷
x^{2}  4x  12
/
3x^{2}  3x

46.
Simplify
x  6
/
x^{2}  x

÷
x^{2}  4x  12
/
3x^{2}  3x

47.
Graph the following system of inequalities?
2y > x + 4
3y + 3x > 13
48.
Find the LCD of x
^{5}y and x
^{2}y
^{4}
49.
a. How many different ways can you choose 3 books from the 8 books on your shelf?
b. A 20 member club needs 2 members to lead. How many different pairs are possible?
50.
John has a 15 feet ladder. When he leaned the ladder against a building, the ladder makes an angle of 60 degrees with the ground. What is the distance from the side of the building to the base of the ladder?
Things to keep in mind about the 9th grade math test
Note: A score of 45 or more on this 9th grade math test is a good indication that most skills taught in 9th grade were mastered
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