CBSE Questions for Class 8 Maths Linear Equations In One Variable Quiz 9 - MCQExams.com

The sum of three consecutive integers is equal to $$192$$. What is the product of these numbers?
  • $$216000$$
  • $$7077888$$
  • $$576$$
  • $$110592$$
  • $$262080$$
Consider two consecutive positive integers. It is given that the result of adding the smaller integer and triple the larger integer is $$79$$. Find the $$2$$ integers.
  • 18, 19
  • 19, 20
  • 20, 21
  • 26, 27
  • 39, 40
When a number $$x$$ is subtracted from $$36$$ and then  the difference is divided by $$x$$, the result is $$2$$. Find the value of $$x$$.
  • $$2$$
  • $$4$$
  • $$6$$
  • $$12$$
If $$13$$ is added to one-half of a certain number, the result is $$37$$. The original number is equal to
  • $$24$$
  • $$40$$
  • $$48$$
  • $$61$$
If $$16+4x$$ is $$10$$ more than $$14$$, what is the value of $$8x$$?
  • $$2$$
  • $$6$$
  • $$16$$
  • $$80$$
The monthly membership fee for an online television and movie service is $ $$9.80$$. The cost of viewing television shows online is included in the membership fee, but there is an additional fee of $ $$1.50$$  to rent each movie online. For one month, Jill's membership and movie rental fees were $  $$12.80$$ . How many movies did Jill rent online that month?
  • $$1$$
  • $$2$$
  • $$3$$
  • $$4$$
Last week Raul worked $$11$$ more hours than Angelica. If they worked a combined total of $$59$$ hours, how many hours did Angelica work last week?
  • $$24$$
  • $$35$$
  • $$40$$
  • $$48$$
If $$\dfrac{5}{x+3} = \dfrac{1}{x}+\dfrac{1}{2x}$$, calculate the value of $$x$$.
  • $$\dfrac{3}{14}$$
  • $$\dfrac{1}{3}$$
  • $$\dfrac{6}{13}$$
  • $$\dfrac{3}{4}$$
  • $$\dfrac{9}{7}$$
A food truck sells salads for $ $$6.50$$ each and drinks for $ $$2.00$$ each. The food truck's revenue from selling a total of $$209$$ salads and drinks in one day was $ $$836.50$$. How many salads were sold that day?
  • $$77$$
  • $$93$$
  • $$99$$
  • $$105$$
Solve the equation: $$\dfrac{12x+3}{2} = \dfrac{x+1}{4}$$.
  • $$-10$$
  • $$15$$
  • $$\dfrac {-5}{23}$$
  • $$\dfrac {37}{12}$$
Solve the equation:
$$-(x-5)+5(x-9)=2(x+8)-(2x+5)$$.
  • $$x=5$$
  • no solutions
  • $$x=\dfrac { 51 }{ 4 } $$
  • $$x=-8$$
If $$\dfrac{19}{5x+17} = \dfrac{19}{31}$$, then find $$x $$.
  • $$0.4$$
  • $$1.4$$
  • $$2.8$$
  • $$3.4$$
If $$\cfrac{7}{m-\sqrt{3}} = \cfrac{\sqrt{3}}{m} + \cfrac{4}{2m}$$, calculate the value of $$m$$.
  • $$m=\dfrac { -4\sqrt { 2 } -6 }{ 10-2\sqrt { 3 }  }$$
  • $$m=\dfrac { -4\sqrt { 3 } -6 }{ 10-2\sqrt { 3 }  }$$
  • $$m=\dfrac { -4\sqrt { 3 } +6 }{ 10-2\sqrt { 3 }  }$$
  • $$m=\dfrac { -4\sqrt { 3 } -6 }{ 10-2\sqrt { -3 }  }$$
Find the value of $$x: \dfrac {1}{x} + \dfrac {4}{5x} = \dfrac {2}{x + 5}$$
  • $$0.71$$
  • $$3.57$$
  • $$5.8$$
  • $$45$$
Find the value of $$\dfrac {4}{y} + 4$$ given that $$\dfrac {4}{y} + 4 = \dfrac {20}{y} + 20$$
  • $$-1$$
  • $$0$$
  • $$1$$
  • $$4$$
Wayne would like to buy a school jacket priced at $$\$81$$, but the price of the jacket is $$\$59$$ more than he has. In which of the following equations does $$x$$ represent the number of dollars Wayne has? 
  • $$x + 81 = 59$$
  • $$x - 81 = 59$$
  • $$x - 59 = - 81$$
  • $$x - 81 = - 59$$
  • $$x - 59 = 81$$
If $$\dfrac{3}{9}=\dfrac{3}{x+2}$$, what is the value of $$x$$?
  • $$-\dfrac{5}{9}$$
  • $$\dfrac{7}{3}$$
  • $$3$$
  • $$7$$
  • None of the above
If $$\dfrac {2}{3x + 12} = \dfrac {2}{3}$$, then the value of $$x + 4 $$ is
  • $$\dfrac {1}{2}$$
  • $$1$$
  • $$\dfrac {3}{2}$$
  • $$2$$
If $$\dfrac{18\times 72\times x}{48\times 315} = \sqrt{81}$$, find the value of $$x$$.
  • $$115$$
  • $$150$$
  • $$15$$
  • $$105$$
If $$13$$ is added to one-half of a certain number, the result is $$37$$. What is the original number?
  • $$24$$
  • $$40$$
  • $$48$$
  • $$61$$
If $$10 + x$$ is $$5$$ more than $$10$$, what is the value of $$2x$$ ? 
  • $$-5$$
  • $$5$$
  • $$10$$
  • $$25$$
A triangle has a perimeter of $$13$$ and one side of length $$3$$. If the lengths of the other two sides are equal, what is the length of each of them?
  • $$4$$
  • $$5$$
  • $$6$$
  • $$7$$
  • $$8$$
A number is doubled and $$9$$ is added. If the result is tripled it becomes $$75$$. What is that number?
  • $$3.5$$
  • $$6$$
  • $$8$$
  • $$7$$
The acute angles of a right triangle have a ratio of $$2:3$$. What is the difference between the two angle measures?
  • $$42$$ degrees
  • $$54$$ degrees
  • $$18$$ degrees
  • $$72$$ degrees
What is the solution of $$\displaystyle \frac{x-5}{2} - \frac{x-3}{5} = \frac{1}{2}$$?
  • $$x = 5$$
  • $$x = 7$$
  • $$x = 8$$
  • $$x = 9$$
Kiran scored $$80$$ marks in his Science test which is $$\dfrac { 5 }{ 6 } $$ of the total marks. What are the total marks for the test?
  • $$96$$
  • $$100$$
  • $$104$$
  • $$108$$
The acute angles of a right triangle have a ratio of  $$12 : 3.$$ What is the difference between the two angle measures? 
  • $$42^\circ$$
  • $$54^\circ$$
  • $$64^\circ$$
  • $$72^\circ$$
The diagonal of a rectangle is thrice its smaller side. What is the ratio of its sides?
  • $$\sqrt {2} : 1$$
  • $$2\sqrt {2} : 1$$
  • $$3 : 2$$
  • $$\sqrt {3} : 1$$
Two numbers are in the ratio $$3 : 8$$. If the sum of the numbers is $$165$$, then find the numbers.
  • $$45,120$$
  • $$65,120$$
  • $$35,130$$
  • None of these
A piece of string is $$40$$ centimeters long. It is cut into three pieces. The longest piece is $$3$$ times as long as the middle-sized and the shortest piece is $$23$$ centimeters shorter than the longest piece. Find the length of the shortest piece(in cm).
  • $$27$$
  • $$5$$
  • $$4$$
  • $$9$$
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