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IT'S ALL ABOUT ALGEBRA!
( Test Yourself )
#PRODUCT AND FACTORING FORMULAS:
>EXERCISES
1
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(a−b)² = a² − 2ab + b²
Answer :
3
...
(a−b)² = (a+b)² − 4ab
Answer :
5
...
a² + b² = (a−b)² + 2ab
Answer :
7
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ab = ¼ { (a+b)² − (a−b)² }
Answer :
9
...
(a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ca
Answer :
12
...
a³ + b³ = (a+b)³ − 3ab (a+b)
Answer :
14
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a³+b³ = (a+b) ( a²−ab + b² )

Answer :

#Formulas  of Set Theory
>Exercises
Give the right answer and solutions of the following:
1
...
A={red,green,blue},
B={red,yellow,orange}, then A∪B=?
Solution Answer :
3
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A={1,2,3}, B=∅, then A∪B=?
Solution Answer :
5
...
A={a,b,c}, then P(A) = ?
Solution Answer :
7
...

1
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What is the probability of rolling a 2 or a 5?
     SOLUTION  :    
2
...
On a unit test, 4 boys and 5 girls
made an A grade
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You have a cowboy hat, a top hat, and an Indonesian hat called a songkok
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If you choose one hat and one shirt at random, what is
the probability that you choose the songkok and the black shirt?
       SOLUTION  :
4
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Then what is the Probability of dangerous Fire when there
is Smoke?

       SOLUTION  :
5
...

1
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Solution :
2
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Solution :
3
...

Solution :
4
...

Solution :
5
...

Solution :
6
...

Solution :
7
...
Add : 5 + 3i and -8 + 2i
...
Add
...

Solution :
10
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(−3 + 3i) – (7 – 2i)
Solution :
11
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(5 + 3i) – (3 – i)
Solution :
12
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(6 + 8i)(4 + 2i)
Solution :
13
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(6 + 8i)(6 – 8i
Solution :

14
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(56 – 8i) ÷ (14 + 10i)
Solution :
#Quadratic Formula
> Write the correct solutions of your answer
...
Solve 9x2+12x+4=0
     Solution :
2
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      Solution :
3
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How many solutions has the quadratic equation 2x2+4x+2=0?
     Solution :
5
...

   Solution :
#THE BINOMIAL THEOREM
> Give the correct solutions
...

Expand (2x–5y)7 and find the fourth term
...

1
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y=6
B
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y=8
D
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  Which of the k-values satisfy the following inequality?
6>2k+4
A
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k=2
C
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k=8

3
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d = 12
B
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d = 16
D
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Which of the value of n satisfies the following inequality?
3n−7<26
A
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n=12
C
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n=10
5
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Solve 5x+7<3(x+1)
Solution :
7
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Solve: 6−4x≤14
Solution :

#Function
>Choose the correct answer and also give its solution
...
  If f(x)=x²−4x+3 then determine f(−1)
Solution :
2
...
Find the domain and range of the relation
S={(2,1),(2,2),(3,2),(4,5)}
Solution :
4
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Find the domain and range of R
...
If f(x) = x+1 and g(x) = x²+2
...


Solution :
6
...
Find ( gof)(2) and ( fog)(2)
...
Given g(x) = √x−3

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