WorksheetsABC
Total questions: 33
Worksheet time: 46mins
Name
Class
Date
1.
What is the correct law for multiplication? am x an =
a)
am+n
b)
am + an
c)
amxn
d)
amn
2.
What is the correct law for division? am ÷ an =
a)
am-n
b)
am - an
c)
am÷n
d)
am/n
3.
What is the correct law for powers of powers? (am)n =
a)
amxn
b)
am+n
c)
am x an
d)
amen
4.
Simplify: (3x2y3)0
a)
1
b)
0
c)
3x2y3
d)
3
5.
Simplify: 42m12 ÷ 7m6
a)
6m6
b)
6m2
c)
35m6
d)
35m2
6.
Simplify: 4x2y × 9xy2
a)
36x3y3
b)
36xy3
c)
13x2y2
d)
13x3y3
7.
Simplify: (3h2)3
a)
27h6
b)
27h5
c)
9h6
d)
9h5
8.
Simplify: (4pq3)2 ÷ (2p2q)3
a)
2p-4q3
b)
8p4q3
c)
16p4q2
d)
4p-4q2
9.
Simplify fully:
√120
√120
a)
4√30
b)
2√30
c)
12√10
d)
6√10
10.
Which one would you multiply by to rationalise this denominator:
√5 /(√2 - 1)
√5 /(√2 - 1)
a)
(√2 - 1)
b)
√2
c)
√2 + 1
d)
√5
11.
Simplify fully:
√32 + 5√32
√32 + 5√32
a)
6√32
b)
24√8
c)
24√2
d)
6√8
12.
Write logb(xy) as two logs
a)
logbx+logby
b)
logbx-logby
c)
logbx*logby
d)
logbx/logby
13.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
14.
Rewrite logb(xn)
a)
nlogbx
b)
(logbx)n
c)
xnlogbx
d)
logb(xn)
15.
Write the expression as a single logarithm. Then simplify if possible.
log 6 - log 3 + 2 log 7
log 6 - log 3 + 2 log 7
a)
log 98
b)
log 78
c)
log 56
d)
log 45
16.
True or False? log(a − b) = log a − log b
a)
False
b)
True
17.
True or False? (log a)(log b) = log(a + b)
a)
True
b)
False
18.
Solve log(x) + log(x-1) = log(3x+12)
a)
x = -3, 4
b)
x = -2, 6
c)
x = -4, 3
d)
x = -6, 2
19.
Solve
log2(x + 5) = 3
a)
3
b)
4
c)
5
d)
6
20.
In the quadratic formula, the expression
b2-4ac is called
b2-4ac is called
a)
discrim
b)
determinant
c)
discriminant
d)
none of these
21.
In the quadratic formula, if b2-4ac>0, then the quadratic equation has
a)
two imaginary solutions
b)
two different real solutions
c)
two equal real solutions
d)
none of these
22.
Say 'TRUE' or 'FALSE'
A quadratic equation ax2 + bx + c = 0 has equal roots, then b2 - 4ac = 0
a)
TRUE
b)
FALSE
23.
For the function below, is the discriminant positive, negative, or zero?
y = x² + 4x + 4
a)
Positive
b)
Negative
c)
Zero
24.
A function has a discriminant of 0.
How many x-intercepts does it have?
a)
0
b)
1
c)
2
d)
5
25.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
26.
Which graph represents the inequality 6 > x
a)
A
b)
B
c)
C
d)
D
27.
Solve the following inequality:
-4x + 14 ≤ 54
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
28.
Solve:
-4(-7-5x) > 188
-4(-7-5x) > 188
a)
x < -32
b)
x > -32
c)
x < 8
d)
x > 8
29.
more than
a)
<
b)
>
c)
≤
d)
≥
30.
Less Than
a)
<
b)
>
c)
≤
d)
≥
31.
Solve:
2x2 + 5x ≥ 12
a)
[-4, 1.5]
b)
(−∞, -4) U (1.5, ∞)
c)
(−∞, -4] U [1.5, ∞)
d)
no solution
32.
Solve:
3x - x2 > 0
a)
(−∞, 0) U (3, ∞)
b)
(−∞, - 3) U (0, ∞)
c)
(-3, 0)
d)
(0, 3)
33.
Solve:
a)
(1,3]
b)
[1,3)
c)
(1,3)
d)
[1,3]
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