CBSE Questions for Class 8 Maths Linear Equations In One Variable Quiz 1 - MCQExams.com

Two numbers are in the ratio of $$6:3$$. If they differ by $$18$$, what are the numbers?
  • $$17, 26$$
  • $$42, 76$$
  • $$15, 13$$
  • $$36, 18$$
Solve the following equation: $$\cfrac{3y+4}{2-6y}=\cfrac{-2}{5}$$
  • $$2$$
  • $$-4$$
  • $$4$$
  • $$-8$$
Solve the following equation: $$\cfrac{8x-3}{3x}=2$$
  • $$x = \cfrac{5}{2}$$
  • $$x = \cfrac{5}{6}$$
  • $$x = \cfrac{9}{8}$$
  • $$x = \cfrac{3}{2}$$
Solve the following linear equation: $$m-\cfrac{m-1}{2} = 1-\cfrac{m-2}{3}$$
  • $$m = \cfrac{7}{5}$$
  • $$m = \cfrac{2}{3}$$
  • $$m = \cfrac{10}{3}$$
  • $$m = \cfrac{3}{8}$$
Solve the following equation: $$\cfrac{z}{z+15}=\cfrac{4}{9}$$
  • $$2$$
  • $$9$$
  • $$12$$
  • $$16$$
Which of the following is the solution of the equation $$\displaystyle \frac{7y+4}{y+2}=\frac{-4}{3}$$ ?
  • $$\displaystyle y = -\frac{4}{5}$$
  • $$\displaystyle y = \frac{4}{5}$$
  • $$\displaystyle y = -\frac{5}{4}$$
  • $$\displaystyle y = \frac{5}{4}$$
Solve the following equation: $$\cfrac{9x}{7-6x}=15$$
  • $$x = \cfrac{25}{72}$$
  • $$x = \cfrac{35}{33}$$
  • $$x = \cfrac{45}{39}$$
  • $$x = \cfrac{22}{45}$$
Solve the following linear equation. If $$\cfrac{3t-2}{4}-\cfrac{2t+3}{3} = \cfrac{2}{3}-t$$, then $$t  $$ is equal to
  • $$1$$
  • $$2$$
  • $$3$$
  • $$4$$
Linear equation in one variable is :
  • $$2x = y$$
  • $$y^2 = 3y + 5$$
  • $$4x - y = 5$$
  • $$3t + 5 = 9t- 7$$
Three consecutive integers add up to $$51$$. What are these integers?
  • $$15, 16, 17$$
  • $$16, 17, 18$$
  • $$10, 11, 12$$
  • $$18, 19, 20$$
A student divided a number by two when he was required to multiply it by $$2$$. The answer he got was $$2$$. The correct answer should have been
  • $$8$$
  • $$1$$2
  • $$6$$
  • $$4$$
Solve the following:
$$ 3\left ( 3x-4 \right )-2\:\left ( 4x-5 \right )=\:6 $$
  • $$4$$
  • $$8$$
  • $$12$$
  • $$6$$
If $$\displaystyle \frac{1}{3}\, =\, \frac {\sqrt{x}}{2}$$, then value of $$x$$ is
  • $$\displaystyle \frac{6}{7}$$
  • $$\displaystyle \frac{7}{2}$$
  • $$\displaystyle \frac{4}{9}$$
  • $$\displaystyle \frac{12}{7}$$
Solve for $$x$$ : $$\sqrt[3]{x}\,- 4\, =\, 0$$
  • $$64$$
  • $$36$$
  • $$81$$
  • $$49$$
Solve for $$x$$ : $$5\, -\, \sqrt{x}\, =\, 0$$
  • $$25$$
  • $$54$$
  • $$15$$
  • $$20$$
Twice a number decreased by $$15$$, equals $$25$$. Find the number.
  • $$25$$
  • $$20$$
  • $$18$$
  • $$21$$
The sum of seven consecutive odd integer is $$133$$. The least integer is
  • $$17$$
  • $$19$$
  • $$11$$
  • $$13$$
Mohan gets $$3$$ marks for each correct sum and loses $$2$$ marks for each wrong sum. He attempts $$30$$ sums and obtains $$40$$ marks. The number of sums solved correctly is
  • $$10$$
  • $$15$$
  • $$20$$
  • $$25$$
Two distinct natural numbers are such that the one number is twice the other number and their sum  is $$6$$. The two numbers are ____
  • $$8$$ and $$3$$
  • $$2$$ and $$7$$
  • $$4$$ and $$2$$
  • $$6$$ and $$3$$
You take $$5$$ less than thrice a number and add $$7$$. The result is $$14$$. The number is
  • $$5$$
  • $$4$$
  • $$6$$
  • $$2$$
The difference between $$\displaystyle \frac{3}{4}$$ of a line and $$\displaystyle \frac{2}{5}$$ of the same line is $$28$$ cm. Find the length of the line.
  • $$60$$ cm
  • $$90$$ cm
  • $$20$$ cm
  • $$80$$ cm
On a three day hiking trip you hiked the same distance (in km) on both first and second days.You hiked $$5$$ km on the third day. If you hiked a total of $$19$$ km, how many kilometer were left to hike after the first day?
  • $$11$$ km
  • $$12$$ km
  • $$9$$ km
  • $$10$$ km
Find two consecutive even whole numbers, whose sum is $$38$$.
  • $$10$$ and $$14$$
  • $$18$$ and $$20$$
  • $$16$$ and $$34$$
  • $$12$$ and $$29$$
Solve: 
$$\displaystyle \frac{7x\, -\, 1}{4}\, - \, \frac{1}{3}(2x\, -\, \frac{1\, -\,x}{2})\,

=\, {6}\frac{1}{3}$$.
  • 7
  • 5
  • -7
  • 3
You are decorating a gift pack with $$15$$ flowers. You want an equal number of flowers in each of the $$3$$ rows on the gift pack. Which equation would you use to find the number of flowers, $$r$$ in each row?
  • $$r+3=15$$
  • $$15-r=3$$
  • $$3r=15$$
  • $$\displaystyle \frac{3}{r}=15$$
If a number with $$12$$ has the same ratio as $$8$$ having with $$10$$, then the number is : 
  • $$15$$
  • $$9.6$$
  • $$7.5$$
  • $$10$$
Which of the following equation is not a linear equation?
  • $$2x + 3 = 7x - 2$$
  • $$\displaystyle \frac{2}{3}x + 5 = 3x - 4$$
  • $$\displaystyle x^2 + 3 = 5x - 3$$
  • $$\displaystyle (x - 2)^2 = x^2 + 8$$
The three even consecutive integers whose sum is 90 are
  • $$26 , 30, 34$$
  • $$24, 32, 34$$
  • $$24, 28, 38$$
  • $$28, 30, 32$$
A is 2 years older than B who is twice as old as C If the total of the ages of A, B and C be 27 years then how old is B?
  • 7 years
  • 8 years
  • 9 years
  • 10 years
The sum of the ages of 5 children born at intervals of 3 years each is 50 years What is the age of the youngest child?
  • 4 years
  • 8 years
  • 10 years
  • 6 years
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