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Review: Numbers Part 1
By Theresa Joseph
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Last updated about 2 years ago
29 questions
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Skills on review here:
Number system notation and Forms of numbers: using forms of numbers to classify a number as a rational, irrational, integer
Exploration into the nature of Irrational Numbers
Simplification of surds, roots and radicals
Radicals addition, subtraction, multiplication and division
Rationalising the denominator
Absolute values
Absolute value equations
Question 1
1.
Which of the following is a rational number?
π
e
3/4
√5
Question 2
2.
Which type of number is -8/3?
Irrational
Integer
Rational
Whole number
Question 3
3.
Simplify √12.
2√3
6√2
3√2
√6
Question 4
4.
Simplify √72
Question 5
5.
Which expression is equivalent to √12?
6
3√2
2√3
-2√3
Question 6
6.
Which operation(s) can be performed between radicals with the same index?
Multiplication and Subtraction
Multiplication and Division
Addition and Subtraction
Addition, Subtraction and Division
Question 7
7.
What is the result of √5 - √3?
Question 8
8.
What is the result of √12 + √27?
Question 9
9.
Simplify: sqrt(50) + sqrt(2) - sqrt(8) ÷ sqrt(2)
Question 10
10.
What is the simplified value of (5+sqrt(7))/(sqrt(7)-2)?
5-2sqrt(7)
-5+2sqrt(7)
-5-2sqrt(7)
5+2sqrt(7)
Question 11
11.
What is the rationalized form of 1/(√3-2)?
2/√3-7
√3+2/7
√3/4-12
3/√3+4
Question 12
12.
Which is the best way to rationalize the denominator?
Divide numerator and denominator by greatest common factor
Subtract numerator and denominator
Add numerator and denominator
Multiply numerator and denominator by √(conjugate)
Question 13
13.
What is the absolute value of -7?
0
7
1
-7
Question 14
14.
Plot |x| = 5 on the number line.
visibility
View drawing
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19
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21
22
zoom_in
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1
0
1
0
1
0
1
Question 23
23.
Solve.
visibility
View drawing
Question 24
24.
Simplify the following expression:
Question 25
25.
Simplify the following expression:
Question 26
26.
Simplify the following expression:
Question 27
27.
Put into simplest radical form.
Question 28
28.
Put into simplest radical form.
Question 29
29.
Which of the following is an irrational number?
1/2
7.2648937....
7
6.25
Question 15
15.
|3
x
+12|=0
visibility
View drawing
Question 16
16.
|3
x
+12|=0
Question 17
17.
|
y
+2|=8
visibility
View drawing
Question 18
18.
|
y
+2|=8
Write the answer in order of size e.g. -5, 5 (space after comma)
Question 19
19.
−4|7−6
k
|
=14
visibility
View drawing
Question 20
20.
−4|7−6
k
|
=14
Question 21
21.
visibility
View drawing
Question 22
22.
Write the answer in order of size e.g. -5, 5 (space after comma)
