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EXTRA PRACTICE rev for sem 1 exam

Total questions: 19

Worksheet time: 40mins

Name
Class
Date
1.
Factor:
x2 + 10x + 24
a)
(x + 8)(x + 3)
b)
(x + 6)(x + 4)
c)
(x + 12)(x - 2)
d)
(x + 12)(x + 2)
2.
Factor:
x2 - 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
3.
Solve
(x+3)2-5 = 9
a)
±√14 -3
b)
√14 - 3
c)
±11
d)
±5
4.
Solve using the quadratic formula:
4x+ 4x + 1 = 0
a)
x = -½
b)
x = -2
c)
x = 0
5.
The discriminant is
a)
ax2  + bx  +  c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
6.
Which conic's equation has only 1 squared term?
a)
Parabola
b)
Circle
c)
Ellipse
d)
Hyperbola
7.

Classify the conic section:

-6x2 + 4y2 + 9x + y = -7

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

8.

Classify the conic section:

x2 + 8y2 - 4x + 2 = x2

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

9.
How many rows are in a 7 x 3 matrix?
a)
7
b)
3
c)
21
d)
10
10.
What are the dimensions of this matrix?
a)
3x1
b)
1x3
c)
3x3
d)
1x1
11.
Dimensions?
a)
a
b)
b
c)
c
d)
d
12.
Find B-A
a)
-3     1
7     -1
b)
1     0
1     -4
c)
4       0
-6     0
d)
not possible because rows do not match columns
13.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
14.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
15.
If a system of equations has infinitely many solutions, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
the same line (coinciding lines)
16.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
17.
Find the product of the two matrices.
a)
1   2
6   -8
b)
-3   -5
-5   -11
c)
-2     8
-6   -12
d)
2  -3
5   -2
18.
Find the product.
a)
undefined
b)
-3   16
17   12
8   -10
c)
3   12 
-15  -8
-1   -3
19.

Solve the system

-x + y - 6z = 14

-6x + 6y +6z = 0

-5x +5y +4z = 7

a)

(0, 5, 2)

b)

(-12, 12, 4)

c)

No Solution

d)

(4, 3, -6)