Quiz on algebra
Introduction:
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures.
A quiz is a form of game or mind sport in which the players (as individuals or in teams) attempt to answer questions correctly. In this article we are going to see some solved quiz problems on algebra and some practice quiz problems on algebra.
Quiz questions:
1. Find the value of x in x -12 = 43 .
a) 45
b) 55
c) 65
d) 75
Answer: b) 55
Explanation:
Given, x - 12 = 43
Add 12 on both sides,
x – 12 + 12 = 43 + 12
x = 55
2. What are the roots of the equation x2 – 16 = 0?
a) 3
b) – 3
c) 4
d) +4 and -4
Answer: d) +4 and -4
Explanation:
Given
x2 – 16 = 0
x2 – 42 = 0
We know the formula, a2 – b2 = (a-b) (a+b)
(x+4) (x-4) = 0
x+4 = 0 and x-4 =0
x+4 =0
Subtract 4 on both sides,
x + 4 - 4 = -4
x = -4
(x-4) = 0
Add 4 on both sides,
x – 4 + 4 = 4
x = 4
X = -4, 4
3) From the following options which one is not a rational number?
a) -10.9
b) 23.5
c)0.0007
d)`sqrt(6)`
Answer: d) `sqrt ( 6)`
Explanation:
We know that the rational number that can be expressed in the form of fraction i.e. a/b. But we can’t express` sqrt(6)` as a fraction. So its not a rational number.
4) Within 30 minutes Jessie needs to travel 28 kilo meter to attend the interview. How fast does she need to go to be able to attend the interview?
a) 13 kmph
b) 45 kmph
c) 56 kmph
d) 40 kmph
Answer: c) 56 kph
Explanation:
Given, distance = 28 km
Time = 30 minute = ½ hour
We need to calculate the speed,
Speed = distance /time
= 28 / (1/2)
= 56
Speed 56 kmph.
5) 3, 9, 27, 81, 243, x .Find x value
a) 600
b) 729
c) 567
d) 875
Answer: b) 729
Explanation:
Given 3, 9, 27, 81, 243, x
Second number / First number = 9/3 = 3
Third number / Second number = 27 /9 = 3
Fourth number / Third number = 81/27 = 3
Fifth number / Fourth number = 243 /81 = 3
Sixth number / Fifth number = x /243 = 3
x = 729
Practice questions:
1. Find the x value in x -2 = 98
2. 4, 9 , 16 ,25 , x
Answer key:
1. 100
2. 36
I like to share this free online algebra solver and Math Answers for Algebra with you all through my blog.
Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures.
A quiz is a form of game or mind sport in which the players (as individuals or in teams) attempt to answer questions correctly. In this article we are going to see some solved quiz problems on algebra and some practice quiz problems on algebra.
Quiz questions:
1. Find the value of x in x -12 = 43 .
a) 45
b) 55
c) 65
d) 75
Answer: b) 55
Explanation:
Given, x - 12 = 43
Add 12 on both sides,
x – 12 + 12 = 43 + 12
x = 55
2. What are the roots of the equation x2 – 16 = 0?
a) 3
b) – 3
c) 4
d) +4 and -4
Answer: d) +4 and -4
Explanation:
Given
x2 – 16 = 0
x2 – 42 = 0
We know the formula, a2 – b2 = (a-b) (a+b)
(x+4) (x-4) = 0
x+4 = 0 and x-4 =0
x+4 =0
Subtract 4 on both sides,
x + 4 - 4 = -4
x = -4
(x-4) = 0
Add 4 on both sides,
x – 4 + 4 = 4
x = 4
X = -4, 4
3) From the following options which one is not a rational number?
a) -10.9
b) 23.5
c)0.0007
d)`sqrt(6)`
Answer: d) `sqrt ( 6)`
Explanation:
We know that the rational number that can be expressed in the form of fraction i.e. a/b. But we can’t express` sqrt(6)` as a fraction. So its not a rational number.
4) Within 30 minutes Jessie needs to travel 28 kilo meter to attend the interview. How fast does she need to go to be able to attend the interview?
a) 13 kmph
b) 45 kmph
c) 56 kmph
d) 40 kmph
Answer: c) 56 kph
Explanation:
Given, distance = 28 km
Time = 30 minute = ½ hour
We need to calculate the speed,
Speed = distance /time
= 28 / (1/2)
= 56
Speed 56 kmph.
5) 3, 9, 27, 81, 243, x .Find x value
a) 600
b) 729
c) 567
d) 875
Answer: b) 729
Explanation:
Given 3, 9, 27, 81, 243, x
Second number / First number = 9/3 = 3
Third number / Second number = 27 /9 = 3
Fourth number / Third number = 81/27 = 3
Fifth number / Fourth number = 243 /81 = 3
Sixth number / Fifth number = x /243 = 3
x = 729
Practice questions:
1. Find the x value in x -2 = 98
2. 4, 9 , 16 ,25 , x
Answer key:
1. 100
2. 36
I like to share this free online algebra solver and Math Answers for Algebra with you all through my blog.