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How To Solve Algebra Questions Quickly
How To Solve Quickly Algebra Questions:-
Definition:
Algebra is the study of mathematical symbols. It also covers and rules and regulations that helps users to evaluate these symbols. The study covers wide range of applications including simple equations that needs to be solved, to complex mathematical calculations.
There are 6 main types of Algebraic Expressions. These are as under:
- Monomial Expression
- Binomial Expression
- Trinomial Expression
- Linear polynomial
- Quadratic polynomial
- Cubic polynomial
Type 1: How To Solve Algebra by Evaluation or finding the value of “a” variable
Question 1:
Solve the given equation 17 x – 42 + 10= 100
Options
A. 7.76
B. 15.36
C. 36.96
D. None of the above
Correct Answer: A
Explanation:
17 x – 42 + 10= 100
17x – 32 =100
17x = 100 +32
17x = 132
X= 7.76
Question 2:
Solve 6a (2 – 3) – 3 (2a + b) = 5
Options
A. 6a + 2b+7
B. 10a+ 3b
C. 12a +3b + 5
D. None of the above
Correct Answer: A
Explanation:
6a (2 – 3) – 3 (2a + b)= 5
12a – 18a – 6a -3b = 5
-6a – 6a -3b = 5
-12a – 3b = 5
12a +3b + 5
Question 3:
Find the value of x in 3 (x- 5) – 5 (2x + 9) =10
Options
A. -5.69
B. – 9.28
C. 9.28
D. None of the above
Correct Answer: B
Explanation:
3 (x- 5) – 5 (2x + 9) =10
3x – 15 – 10 x – 45 = 10
-7x – 60 = 10
-7x = 70
X= – 70/7
X= – 10
Type 2: How to Solve Algebra Questions Quickly by- Substitution Methods
Question 1:
Determine the value of 3×2 + 4×3 where x = 2
Options
A. 44
B. 56
C. 100
D. None of the above
Correct Answer: A
Explanation:
3×2 + 4×3
Substituting the value of x, we get
3(2)2 + 4(2)3
3 x 4 + 4 x 8
12 + 32
44
Question 2:
Calculate the value of the expression 3a + 2b – 15 where the value of a = 2 and b = 5.
Options
A. 6
B. 20
C. 5
D. 1
Correct Answer: D
Explanation:
3a + 2b – 15
3 * 2 + 2 * 5 -15
6 + 10 -15
1
Question 3:
What will be the value a in the given expression 2b + 2a + 53 = 72 where b = 10.
Options
A. 2/9
B. – 1/2
C. 3/2
D. None of the above
Correct Answer: B
Explanation:
2b + 2a + 53 = 72
2 *10 + 2a +53 = 72
20 + 2a = 72 – 53
20 + 2a = 19
20 – 19 = -2a
1 = -2a
x= – 1/2
Read Also: Formula for Algebra question