Algebra Test

Result

Algebra Test - 5

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

What is the highest power of a variable in a quadratic equation?

A
Zero

B
One

C
Two

D
Three

Solution

The basic form of a quadratic equation is y = ax² + bx + c

The highest power of a variable in a quadratic equation is two, because the degree of an equation in one variable is the exponent of the highest power to which the variable is raised in that equation.
Question 2
1 / -0

The breadth of a rectangular brick is b cm and the length is 3 times its breadth. What is the perimeter of this brick?

A
8b cm

B
3b² cm

C
(8 + 3b) cm

D
(10 + b²) cm

Solution

We have, breadth = b cm
So, length = 3b cm

We know that the perimeter of the rectangle is 2(Length + Breadth)
So, perimeter = 2 (3b + b) = 2 × 4b = 8b cm
Question 3
1 / -0

The number of students in a school is 4 times the number of its staff. Which of the following cannot be the total number of people in the school?

(Given, total number of people = Total number of students + Total number of staff)

A
20

B
21

C
30

D
40

Solution

Let the number of staff be x.
Therefore, number of students = 4x

If x + 4x = 21
5x = 21

x = 21/5 = 4.2

As we are talking about number of people, it cannot be in decimals. So, 21 cannot be the total number of people.
Question 4
1 / -0

If y = z, then z + y =

A
2z - 2y

B
y + 2z

C
z - y

D
2z

Solution

Given: z = y ........ (1)

So, z + y = z + z = 2z
Question 5
1 / -0

Which of the following equations has y = - 8 as solution?

A
3y + 2 = 0

B
y + 3 = 2

C
y + 8 = 0

D
2y + 3 = 8

Solution

Statement (1) Putting y = -8 in 3y + 2, we get 3 × -8 + 2 = -24 + 2 = -22 ≠ 0
Statement (2) Putting y = -8 in y + 3, we get -8 + 3 = -5 ≠ 2

Statement (3) Putting y = -8 in y + 8, we get -8 + 8 =0
Statement (4) Putting y = -8 in 2y + 3, we get 2 × -8 + 3 = -16 + 3 = -13 ≠ 8

Thus, the above conditions show that y = -8 is the solution of y + 8 = 0.
Question 6
1 / -0

Which of the following equations has the same solution as the equation 3y - 6 = 0?

A
y - 2 = 0

B
3y + 6 = 0

C
y + 2 = 0

D
y + 3 = 0

Solution

The solution for the given equation 3y - 6 = 0 is y = 2.

Statement (1), y - 2 = 0, so y = 2
Statement (2), 3y + 6 = 0, so y = -2
Statement (3), y + 2 = 0, so y = -2
Statement (4), y + 3 = 0, so y = -3

So, we can say that only statement (1) has the same solution as the given equation.