WorksheetsEntrance Examiniation Grade 9 mathematics
Total questions: 20
Worksheet time: 1hrs 11mins
Name
Class
Date
1.
The square root of α⁸ is
a)
α
b)
α²
c)
α⁴
d)
α⁶
2.
(α − 1)(α + 1) =
a)
α² + 2α − 1
b)
α² − 2α − 1
c)
α² + 1
d)
α² − 1
3.
Solve by factoring: x2 + 3x - 18 = 0
a)
x = -3 and x = 6
b)
x = 3 and x = -6
c)
x = -9 and x = 2
d)
x = 9 and x = -2
4.
Simplify the expression:
a)
-15 + 8√9
b)
9
c)
2 + 8√3 + 6√6
d)
9 + 14√3
5.
Which of the following is a Pythagorean Triple?
a)
1, 2, 3
b)
4, 6, 8
c)
12, 13, 26
d)
9, 40, 41
6.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
7.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
8.
a)
A
b)
B
c)
C
d)
D
9.
What is the slope?
a)
m= -2/3
b)
m=3/2
c)
m=-3
d)
m=2
10.
Write in slope intercept form given the slope: m=3 and y int: -2
a)
y=3x-2
b)
y=2/3x
c)
y=-2x+3
d)
y=3x
11.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
12.
Write the equation of the line in point slope form given the points (2,3) and (-3,1)
a)
y+1=2/5(x-3)
b)
y-3=2/5(x-2)
c)
y-3=2(x-2)
d)
y+1=5(x-3)
13.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
14.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
15.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
16.
M is the midpoint of KL. M is at (5, -2) and L is at (3,6). What are the coordinates of K?
a)
(2, -8)
b)
(4, 2)
c)
(1, 14)
d)
(7, - 10)
17.
A shape has the following 4 coordinate points: (-8,0) , (-4, -4) , (0, 8) , (4, 4). What is the area of the shape?
a)
32
b)
45
c)
64
d)
71
18.
Which of the following is the equation of the line that is parallel to 2x + y = 3 and passes through the point (1, 2)?
a)
y = 2x + 4
b)
y = -2x +4
c)
y = 2x - 4
d)
y = -2x - 4
19.
(3+8i)(-2-i)
a)
2-19i
b)
23-i
c)
34+5i
d)
23-i
20.
a)
7√3
b)
Can't Simplify
c)
6√15
d)
6√3
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