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Title: Algebra Practice Questions and Solutions
Description: Factorization, solving for x, rationalization, and simplifying made practically easy.
Description: Factorization, solving for x, rationalization, and simplifying made practically easy.
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Algebra Practice Questions and Solutions
IT IS ADVICED THAT YOU START DOING/ATTEMPT THE QUESTIONS BY YOUR
SELF BEFORE REFERING TO THE PROVIDED SOLUTIONS
...
a) The following equation has no solution
2x+1=5+2x
b) The following equation has a unique solution
3x+2=2x+1
Question 2
Simplify the following exponential expressions, without using a calculator
...
2𝑛
...
8𝑛+2
...
2𝑛
...
2𝑛 +3𝑛
23𝑛+1
...
2𝑛 +3𝑛 1
2
33𝑛+1
...
1
1
1
3
9
2 =
(2𝑛−1 )𝑛+1
9𝑛−1
=
d)
4𝑛−1 +22𝑛−3
22𝑛+1 − 22𝑛−1
22𝑛−2 +22𝑛−3
22𝑛+1 −22𝑛−1
22𝑛 (2−2 +2−3 )
22𝑛 (21 −2−1 )
3
8
e)
2
1
3
4
× =
3𝑛 + 3𝑛−2
3𝑛−1
3𝑛 (1+3−2 )
3𝑛 (3−1 )
10
9
f)
3
10
1
3
× =
2𝑛
...
4−3𝑛
2−2𝑛
2𝑛
...
2−6𝑛
2−2𝑛
2𝑛+3𝑛+6−6𝑛
2−2𝑛
2−2𝑛
...
5 or x=1
h) (𝑥 − 2)2 − 40 = 0
(𝑥 − 2)2 = 40
√(𝑥 − 2)2 = √40
𝑥 − 2 = 2√10
X= 8
...
61 or x= -0
Title: Algebra Practice Questions and Solutions
Description: Factorization, solving for x, rationalization, and simplifying made practically easy.
Description: Factorization, solving for x, rationalization, and simplifying made practically easy.