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
Print your 9th grade math test before you start. It has 50 questions, but it is very comprehensive! A very detailed solution to this 9th grade math test is ready.
Name _____________________ Date:_____________________
Solve the following problems
1.
A. y > x
B. x = y
C. y > z
D. x > z
2.
A man selling hotdogs, 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?
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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