Quiz about Linear Equation in One Variable

Question 1

Find the solution of $$\frac{3}{x}+4=2$$

Accepted Answer

$$-\frac{3}{2}$$

Answer

$$\frac{3}{4}$$

Answer

$$-\frac{5}{2}$$

Answer

$$\frac{3}{2}$$

Question 2

Which of the following are linear equations in one variable?

Accepted Answer

$$5a+4=-\frac{3}{5}$$

Answer

$$2xy+y^2=3$$

Answer

$$p-q=5$$

Answer

$$x^3+x^2-5x+4$$

Question 3

$$5\left(x-4\right)=7-3\left(x+1\right)-5$$ From the equation, write the RHS

Accepted Answer

$$-\left(3x+1\right)$$

Answer

$$5\left(x-4\right)$$

Answer

$$-3x$$

Answer

$$5x-20$$

Question 4

$$\frac{3x-1}{5}=\frac{3}{4}x+1$$ From the equation, write LHS

Accepted Answer

$$\frac{3}{5}x-\frac{1}{5}$$

Answer

$$\frac{3x}{4}$$

Answer

$$\frac{3}{5}$$

Answer

$$\frac{3}{4}x+1$$

Question 5

$$\frac{3x-1}{7}-4=0$$ From the equation, write the coefficients of x

Accepted Answer

$$\frac{3}{7}$$

Answer

$$\frac{3x-1}{7}$$

Answer

$$-4$$

Answer

$$\frac{3x}{7}$$

Question 6

$$\frac{5\left(x-3\right)}{4}+3$$ Write the constant

Accepted Answer

$$-\frac{3}{4}$$

Answer

$$\frac{5}{4}$$

Answer

$$3$$

Answer

$$-\frac{15}{4}$$

Question 7

Find the solution of $$\frac{2x+1}{3}+\frac{1}{2}=1-\frac{x-3}{5}$$

Accepted Answer

$$\frac{23}{26}$$

Answer

$$\frac{26}{23}$$

Answer

$$\frac{33}{26}$$

Answer

$$\frac{23}{66}$$

Question 8

Find the solution of $$3-4x=8x+3$$

Accepted Answer

$$x=0$$

Answer

$$x=-2$$

Answer

$$x=4$$

Answer

$$x=\infty$$

Question 9

Find the solution of $$5+3\left(x-1\right)=5x-6$$

Accepted Answer

$$x=4$$

Answer

$$x=-6$$

Answer

$$x=-4$$

Answer

$$x=6$$

Question 10

Find the solution of $$1,6=\frac{y}{1,5}$$

Accepted Answer

$$y=2,4$$

Answer

$$y=4,1$$

Answer

$$y=4,2$$

Answer

$$y=1,4$$

Question 11

Find the solution of $$\frac{x}{3}+1=\frac{7}{15}$$

Accepted Answer

$$-\frac{8}{5}$$

Answer

$$\frac{5}{8}$$

Answer

$$\frac{8}{5}$$

Answer

$$-\frac{5}{8}$$

Question 12

Find the solution of $$3m=5m-\frac{8}{5}$$

Accepted Answer

$$m=\frac{4}{5}$$

Answer

$$m=\frac{3}{5}$$

Answer

$$m=-\frac{3}{5}$$

Answer

$$m=\frac{5}{8}$$

Question 13

Find the solution of $$\frac{2x}{3}+1=\frac{7x}{15}+3$$

Accepted Answer

$$x=10$$

Answer

$$x=-10$$

Answer

$$x=15$$

Answer

$$x=-15$$

Question 14

Find the solution of $$7x+1=4\left(x-3\right)+6$$

Accepted Answer

$$x=-\frac{7}{4}$$

Answer

$$x=-7$$

Answer

$$x=\frac{4}{7}$$

Answer

$$x=-\frac{1}{7}$$

Question 15

Find the solution of $$m-\frac{m-1}{2}=1-\frac{m-2}{3}$$

Accepted Answer

$$m=1$$

Answer

$$m=0$$

Answer

$$m=\frac{1}{2}$$

Answer

$$m=\frac{3}{2}$$

Question 16

Find the solution of $$15\left(y-4\right)-2\left(y-9\right)+5\left(y+6\right)=0$$

Accepted Answer

$$y=\frac{2}{3}$$

Answer

$$y=\frac{7}{5}$$

Answer

$$y=\frac{5}{7}$$

Answer

$$y=\frac{3}{5}$$

Question 17

Find the solution of $$3\left(5z-7\right)-2\left(9z-11\right)=4\left(8z-13\right)-17$$

Accepted Answer

$$z=2$$

Answer

$$z=8$$

Answer

$$z=5$$

Answer

$$z=-1$$

Question 18

Find the solution of $$0.25\left(4f-3\right)=0.05\left(10f-9\right)$$

Accepted Answer

$$f=0.6$$

Answer

$$f=0.7$$

Answer

$$f=0.8$$

Answer

$$f=0.5$$

Question 19

Three times a number is equal to the number decreased by two. What is the
number?

Accepted Answer

$$-1$$

Answer

$$1$$

Answer

$$0$$

Answer

$$2$$

Question 20

The sum of two consecutive numbers is 93. What are the numbers?

Accepted Answer

$$46$$

Answer

$$52$$

Answer

$$48$$

Answer

$$56$$

Question 21

The sum of two consecutive even numbers is 46. Find the numbers.

Accepted Answer

$$22$$

Answer

$$33$$

Answer

$$11$$

Answer

$$44$$

Question 22

Agrandfather is ten times older than his granddaughter.
He is also 54 years older than her. Find their present ages.

Accepted Answer

6 and 60 years old

Answer

8 and 80 years old

Answer

7 and 70 years old

Answer

5 and 50 years old

Question 23

The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?

Accepted Answer

85

Answer

75

Answer

58

Answer

57

Question 24

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

Accepted Answer

$$7$$

Answer

$$14$$

Answer

$$9$$

Answer

$$5$$

Question 25

The base of an isosceles triangle is $$\frac{4}{3}$$ cm. The perimeter of the triangle is $$4\frac{2}{15}$$ cm. What is the length of either of the remaining equal sides?

Accepted Answer

$$\frac{21}{15}$$

Answer

$$\frac{23}{15}$$

Answer

$$\frac{21}{13}$$

Answer

$$\frac{23}{13}$$

Question 26

Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?

Accepted Answer

72

Answer

42

Answer

62

Answer

52

Question 27

Dohyun bought 5 notebooks at a shop, he paid Rp. 20.000,00 and got a refund of Rp. 2.500,00. If the price of 1 notebook is x rupiahs, then the correct mathematical model is...

Accepted Answer

$$20.000-5x=2.500$$

Answer

$$5x-2.500=20.000$$

Answer

$$20.000-\left(x+5\right)=2.500$$

Answer

$$x+5=20.000-2.500$$

Question 28

Jeno has y number of marbles. Mark has 10 fewer marbles than Jeno. If their total number of marbles is 30, which of the following statements is true?

Accepted Answer

$$2y=40$$

Answer

$$y+10=30$$

Answer

$$y-10=30$$

Answer

$$2y+10=30$$

Question 29

Three consecutive integers add up to 51. What are these integers?

Accepted Answer

16

Answer

21

Answer

18

Answer

14

Linear Equation in One Variable

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