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g9 Math Final Preparation

Total questions: 85

Worksheet time: 3hrs 1mins

Name
Class
Date
1.
Expand 5(y - 10)
a)
5y - 10
b)
5y - 50
c)
5y - 15
d)
-5y
2.
Expand t(t + 3)
a)
t2 + 3
b)
t2 + 3t
c)
3t
d)
t3
3.
Expand and simplify 4(x + 2) + 3(x + 5)
a)
7x + 23
b)
7x + 7
c)

7x + 15

d)
7x
4.
Expand 3(w + 4)
a)
3w
b)
3w + 12
c)
7w
d)
3w + 7
5.
W-10+9W-3
a)
10W+7
b)
9W-5
c)

9W +13

d)
10W -13
6.
Simplify and combine like terms:  -6k +7k
a)
K
b)

-K

c)
13K
d)
-13K
7.

Fully factorise the following expression...


4x - 12

a)

4(x - 3)

b)

2(2x - 6)

c)

2(2x - 3)

d)

4(x - 12)

8.

Fully factorise the following expression...


3x - 15

a)

3(x - 3)

b)

3(x - 6)

c)

3(x - 5)

d)

3(x - 15)

9.

Fully factorise the following expression...


12x - 14

a)

2(6x - 7)

b)

2(6x - 2)

c)

4(3x - 4)

d)

4(3x - 3)

10.

Fully factorise the following expression...


12x + 20

a)

2(6x + 10)

b)

4(3x + 5)

c)

3(4x + 6)

d)

12(x + 20)

11.
Expand and Simplify 3(x+4)+1
a)
3x+13
b)
3x+7
c)
3x+11
d)
3x+15
12.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
14x + 3
d)
9 + 7x
13.

Simplify: n -10 +9n -3

a)

-3

b)

9n-3

c)

n

d)

10n -13

14.

Simplify: x + y + y + x+ y

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy

15.

Simplify: 12y - 8 + 4y + y

a)

17y - 8

b)

16y-8

c)

9y

d)

8y+y

16.

Simplify: 4p - 7 + 6p + 10

a)

13p

b)

10p+17

c)

10p+3

d)

-3+10p

17.
Factorise
x2 + 8x 
a)
(x + 2)(x + 4)
b)
(x + 8)(x + 1)
c)
x(x + 8)
d)
2x(x + 4)
18.

Expand and simplify

5(2h + 1) - 2(h + 2)

a)

8h + 1

b)

8h - 1

c)

8h + 3

d)

8h +9

19.

Factorise

6m2 + 16m

a)

2(3m2 + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

20.

Expand and simplify

2(x + 3) + 4

a)

2x + 10

b)

2x + 7

c)

2x + 14

d)

x + 10

21.

Expand and simplify

-2(3x - 4).

a)

-6x + 8

b)

-6x - 6

c)

-6x - 8

d)

6x + 8

22.

Expand and simplify

(x + 3) (x + 7)

a)

x2 + 10x + 10

b)

x + 10x + 10

c)

x2 + 10x + 21

d)

2x + 10

23.

Expand and simplify

(x - 7)(x + 7)

a)

x2 + 7x - 49

b)

x2 - 7x + 49

c)

x2 - 49

d)

x2 + 49

24.

Factorise

4x + 14

a)

2(2x+7)

b)

4(x+10)

c)

4(x+3)

d)

2(x+12)

25.

Factorise

x4 - 16

a)

( 2x - 4) ( 2x + 4)

b)

( x2 - 4) ( x2 + 4)

c)

( x2 - 8) ( x2 + 8)

d)

( x - 4) ( x + 4)

26.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
27.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
28.
A line that is parallel to this line would have what slope?
y= 2x - 7
a)
2
b)
1/2
c)
-1/2
d)
7
29.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
30.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
31.
Parallel lines have __________ slopes
a)
Equal
b)
Opposite
c)
Reciprocal 
d)
Total
32.
What is the slope of a line perpendicular to a line with slope -6/5 ?
a)

-6/5

b)

-5/6

c)

5/6

d)

-4/3

33.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

34.

What is the slope of a line perpendicular to a line with slope -1/7 ?

a)

7

b)

-7

c)

-1/7

d)

1/7

35.

What is the slope of a line that parallel to a line with slope 3 ?

a)

3

b)

1/3

c)

-3

d)

-1/3

36.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
37.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
38.
a)
2 / x2
b)
-2x2
c)
2x2
d)
2x14
39.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
40.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
41.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
42.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
43.
Simplify the expression: 
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
44.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
45.
Simplify 4-2= 
a)
1/16
b)
-16
c)
1/4
d)
-42
46.
In order to multiply powers with the same base, we add their exponents. 
a)
True 
b)
False
47.

Simplify

(2a2b4z)(6a3b2z5)

a)

8a5b6z6

b)

12a6b8z5

c)

12a5b6z6

d)

8a6b8z5

48.

Simplify

a)

x4/3

b)

3x10

c)

36x10

d)

3x4

49.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

50.

x6 / x2

a)

x4

b)

x12

c)

x3

d)

x8

51.

x-3

a)

-x3

b)

1 / x3

c)

1 / x-3

d)

-x-3

52.
a)
b)
c)
d)
53.
a)
b)
c)
d)
54.
a)
b)
c)
d)
55.

Write with positive exponents:

1/a-2

a)

a-2

b)

a2

c)

1/a1

56.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

57.

3650=365^0=  

a)

0

b)

1

c)

365

d)

1365\frac{1}{365}  

58.

y0=y^0=  

a)

y

b)

0

c)

1

d)

10

59.

If a number or variable does not have an exponent, we can assume the exponent is:

a)

0

b)

1

60.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

61.

How do you write a pair of coordinates?

a)

(X,X)

b)

(Y,X)

c)

(X,Y)

d)

(Y,Y)

62.

In the coordinate (4,9), which number is the y-coordinate?

a)

4

b)

9

c)

neither

d)

both

63.

What is the coordinate of this point?

a)

(8, 2)

b)

(2,7)

c)

(2,8)

d)

(8,3)

64.

Which quadrant does points (-1,-1) lie?

a)

QI

b)

QII

c)

QIII

d)

QIV

65.

It is the x-coordinate of a point on the coordinate plane and refers to the distance along the horizontal axis.

a)

abscissa

b)

ordinate

c)

origin

d)

quadrant

66.

Which point lies in QIV?

a)

(9, 10)

b)

(-3, -5)

c)

(-2, 10)

d)

(1, -8)

67.
What is at (1,2)?
a)
the moon
b)
the sun
c)
a blue planet
d)
a robot
68.

Mr. Torres' favorite shapes are on the grid. Which of the following ordered pairs best represents the location of the moon?

a)

(8,2)

b)

(4,7)

c)

(3,4)

d)

(7,4)

69.
What is located at (5,3)?
a)
nothing
b)
point A
c)
the park
d)
point B
70.
What is the ordered pair of point E?
a)
(2,5)
b)
(5,2)
c)
(-5,2)
d)
(5,-2)
71.

The red triangle is at coordinate

a)

(4,3)

b)

(3,4)

c)

(-3,-4)

d)

(-4,3)

72.

The yellow square is at coordinate

a)

(-3,2)

b)

(2,-3)

c)

(-2,3)

d)

(-3,-2)

73.

The blue pentagon is at coordinate

a)

(5,2)

b)

(-5,2)

c)

(-5, -2).

d)

(2,-5)

74.

Definition: The point where the two axes cross each other, (0,0)

a)

Cartesian coordinate system

b)

coordinate

c)

Origin

75.
The coordinates (1,3), (4,6) and (7,9) fall on this line. What is another point that falls on the line?
a)
(0,0)
b)
(2,4)
c)
(5,3)
d)
(4,2)
76.

What ordered pair is 5 units to the right and 3 units up from the origin?

a)

(3,5)

b)

(5,3)

c)

(-5,3)

d)

(-5,-3)

77.

If you were to plot the point (4, -12) what would be the correct method?

a)

Up 4, left 12

b)

Right 4, up 12

c)

Right 4, down 12

d)

Down 4, left 12

78.

What do you call the vertical line in cartesian plane?

a)

origin

b)

ordered pair

c)

y-axis

d)

x-axis

79.
In which quadrant is the following point found?
(-3, -12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
80.

Which of the following are true about the following point?

(0, 4)

a)

It lies in both Quadrants I & II

b)

It is located on the x-axis

c)

It doesn't lie in any quadrant

d)

It lies in both Quadrants III

81.

Which letter matches the coordinate (-4, 6)?

a)

E

b)

F

c)

G

d)

H

82.

Where is point D located?

a)

(-1,-4)

b)

(1,4)

c)

(-4,-1)

d)

(-4,1)

83.

Diagram shows four points marked on a Cartesian plane.

Which of the points A, B, C and D is on coordinate (4,2)?

a)

A

b)

B

c)

C

d)

D

84.

Diagram shows the coordinates of school and Marwan's house in a Cartesian plane.

State the horizontal distance and vertical distance from Marwan's house to the school.

a)

5 unit horizontal, 4 units vertical

b)

6 unit horizontal, 1 unit vertical

c)

4 unit horizontal, 5 units vertical

d)

1 unit horizontal, 5 units vertical

85.

Which of the following points has a distance of 4 unit horizontally and 3 unit vertically from point Q?

a)

W

b)

X

c)

Y

d)

Z

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