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Year 8 Algebra Diagnostic
By Georgina Muzaferovic
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Last updated over 5 years ago
16 questions
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Question 1
1.
What is the missing number for the equation: 4 + 3 + 5 = ? + 5
Question 2
2.
What is the missing number for the equation: 8 + 4 = ? + 6
Question 3
3.
If X equals 5, what does 5X equal?
Question 4
4.
If Y= 2, what does Y + 2 =?
Question 5
5.
If z = 1, what does: 3z + 5z =?
Question 6
6.
What value of m will make the following number sentence true?
4m + 10 = 58
Question 7
7.
What value of m will make the following number sentence true?
3m + 7 = 25
Question 8
8.
Which sum is not equivalent to 7 + 4t
10 + 4t – 3
4t + 6 + 1
6t – 1 – 2t + 8
t + 7 + t + t + t
5 + 2 + 4t
4t + 7
Question 9
9.
The simplified version of this equation is:
7ab + 5a – 6b + 5 – 5ab – 7b + 19
ab + 5a - 13b + 24
2ab + 5a -13b + 24
2ab + 5a -13b + 19
2ab -13b + 24
24
Question 10
10.
Simplify the equation:
3a + 5 – a
Question 11
11.
Simplify the equation:
3a - 4b – 3 + 2b + 5 – 8a
Question 12
12.
If 2a + 4b = 60
What might be some values of a and b?
a = 20, b = 10
a = 15, b = 12
a = 5, b = 13
a = 20, b = 5
a = 25, b = 2
Question 13
13.
Expand and simplify the following:
3(4b – 2a)
Question 14
14.
Which of the following is the expanded and simplified version of:
(a – 4)(a + 5)
a
2
+ a - 20
a
2
+ 9a - 9
a - 20
2a + 1
Question 15
15.
Factorise the following:
12b – 18
Question 16
16.
Factorise the following:
x
2
+ 10x +16