MEDIUM

Earn 100

Solve the following equations and check your answers: $15 (y - 4) - 2 (y - 9) + 5 (y + 6) = 0$

Important Questions on Linear Equations in One Variable

EASY

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

If the nominal rate of growth is

17 %

and inflation is

9 %

for the five years. Let

P

be the Gross Domestic Product (GDP) amount at the present year then the projected real GDP after

6

years is______.

EASY

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

Solving equation

m + \sqrt{m} = 6 / 25

the value of '

m

' works out to

EASY

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

If in an additive model

O

refers to original data as

875

T

refers to trend

700, S

refers to seasonal variations

200, C

refers to cyclical variations

75

, then the value of

I

which refers to irregular variations is_____.

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

The number of integers satisfying the inequality

|n^{2} - 100| < 50

EASY

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

If $x$ is a natural number.

If $x^{2} + a x + 16$ is a perfect square number, then which number is $a$ ?

EASY

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

The speed of a boat in still water and the speed of the current is in ratio $5 : 1$ . If the difference between distances covered by the boat in going $2 hours$ upstream and $2 hours$ downstream is $8 km$ .

I. Quantity I - Speed of boat in still water

II. Quantity II -A cyclist goes $30 km$ in $3 hours$

Find the relation between these two quantities.

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

What number should be added to

7, 17, 22

and

47

so that the resulting numbers will be in proportion in the given order?

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

For all

n \in ℕ, n \in ℕ,

, if

1^{2} + 2^{2} + 3^{2} + \dots + n^{2} > x

, then

x =

EASY

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

x

is a natural number, what number is to be added to

x^{2} + 6 x

to get a perfect square?

EASY

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

If $x$ is a natural number.

If $x^{2} + a x + b$ is a perfect square, prove that $a^{2} = 4 b$ .

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

The maximum value of

z = 7 x + 5 y

subject to

2 x + y \leq 100, 4 x + 3 y \leq 240, x \geq 0, y \geq 0

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

The solution set of the inequation

3^{x} + 3^{1 - x} - 4 < 0,

HARD

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

The solution set of the rational inequality

\frac{x + 9}{x - 6} \leq 0

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

The least positive integer

n

for which

\sqrt{n + 1} - \sqrt{n - 1} < 0.2

EASY

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

The smallest prime number satisfying the inequality

\frac{2 n - 3}{3} \geq \frac{n - 1}{6} + 1

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

Let

x = [\frac{a + 2 b}{a + b}]

and

y = \frac{a}{b}

, where

a

and

b

are positive integers. If

y^{2} > 2

, then

MEDIUM

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

The number of non-negative integer solutions of the equations

6 x + 4 y + z = 200

and

x + y + z = 100

EASY

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

x = \sqrt{3} + \frac{1}{\sqrt{3}}

then

(x - \frac{\sqrt{126}}{\sqrt{42}}) (x - \frac{1}{x - \frac{2 \sqrt{3}}{3}}) =

HARD

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

Find the number of positive integers less than

101

that cannot be written as the difference of two squares of integers.

EASY

Mathematics>Algebra>Linear Equations in One Variable>Introduction to Linear Equations in One Variable

a + \frac{1}{a} = 8, t h e n a^{3} + \frac{1}{a^{3}} = ?

Solve the following equations and check your answers: 15(y-4)-2(y-9)+5(y+6)=0

Important Questions on Linear Equations in One Variable

Learn and Prepare for any exam you want !

Solve the following equations and check your answers: $15 (y - 4) - 2 (y - 9) + 5 (y + 6) = 0$