Mathematics
Grade-8
Easy

Question

John says, “two times a number is subtracted from five results three”, the solution of the John equation is

  1. The number is 2
  2. The number is 1
  3. The number is 0
  4. The equation has no solution 

hintHint:

An equation has a constant, variable and an equal to sign. It has two sides LHS and RHS. A linear equation in one variable is equation with only one variable and in which the highest degree is 1. Here, we have to find the value of unknown value by operating both sides with the same number so that the equation will be balanced.

The correct answer is: The number is 1


In the given question the equation is in the form of words which is two times a number is subtracted from five results three.
We can solve the equation using the following steps:
Step1: Convert the word problem into numerical equation.
Let the number be x. So, the equation will be
5-2x= 3
Bring all the terms containing variables in one side by operating same numbers on both sides to balance the equation.
Step 2: Add 2x on both the sides.
rightwards double arrow5-2x+2x= 3+2x
rightwards double arrow5= 3+2x
Step 3: Subtract 3 on both the sides.
rightwards double arrow5-3=3+2x-3
rightwards double arrow2=2x
Step 4: Divide both the sides by 2.
rightwards double arrow 2 over 2 equals fraction numerator 2 x over denominator 2 end fraction
rightwards double arrow x equals 1
So, the number is 1.
Therefore, the correct option is b,i e., 1.

Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.

Related Questions to study

Grade-8
MathematicsVideo

The equation among the following that have infinitely many solutions is

The linear equations with one variable is an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions have same variable and constant terms on both the sides of the equation. On solving the equation they will get cancelled and will give 0=0 as result.

The equation among the following that have infinitely many solutions is

MathematicsGrade-8

The linear equations with one variable is an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions have same variable and constant terms on both the sides of the equation. On solving the equation they will get cancelled and will give 0=0 as result.

Grade-8
MathematicsVideo

The solution of the equation 2.5x +1 =6 is

Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.

The solution of the equation 2.5x +1 =6 is

MathematicsGrade-8

Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.

Grade-8
MathematicsVideo

The solution of the equation 1.2x + 7 = 2.2x + 5 is

The solution of the equation 1.2x + 7 = 2.2x + 5 is

MathematicsGrade-8
parallel
Grade-8
MathematicsVideo

The solution of the equation 2x + 5 = 2(x + 4) is

The solution of the equation 2x + 5 = 2(x + 4) is

MathematicsGrade-8
Grade-8
MathematicsVideo

The number of solutions of the equation 2(x + 2) = 2x + 4 is

The number of solutions of the equation 2(x + 2) = 2x + 4 is

MathematicsGrade-8
Grade-8
Mathematics

For x + square root of 2y = 4,
Adam says x-intercept is 4
Sophia says y-intercept is 2square root of 2
Elena says slope is fraction numerator negative 1 over denominator square root of 2 end fraction
Among them, whose answer is correct.

For x + square root of 2y = 4,
Adam says x-intercept is 4
Sophia says y-intercept is 2square root of 2
Elena says slope is fraction numerator negative 1 over denominator square root of 2 end fraction
Among them, whose answer is correct.

MathematicsGrade-8
parallel
Grade-8
Mathematics

The sum of the intercepts of the equation 7x + 9y + 5 = 0 is

The sum of the intercepts of the equation 7x + 9y + 5 = 0 is

MathematicsGrade-8
Grade-8
Mathematics

For square root of 2 x plus square root of 3 y equals square root of 4,
Adam says x-intercept is square root of 2
Jack says y-intercept is  square root of 3
John says slope is fraction numerator negative square root of 2 over denominator square root of 3 end fraction
The correct answers were given by

For square root of 2 x plus square root of 3 y equals square root of 4,
Adam says x-intercept is square root of 2
Jack says y-intercept is  square root of 3
John says slope is fraction numerator negative square root of 2 over denominator square root of 3 end fraction
The correct answers were given by

MathematicsGrade-8
Grade-8
Mathematics

The y-intercept of the line is square root of 2 and the slope is 4. The equation of line will be

The y-intercept of the line is square root of 2 and the slope is 4. The equation of line will be

MathematicsGrade-8
parallel
Grade-8
Mathematics

text  The  end text y text -intercept of the equation  end text square root of 5 plus square root of 4 x equals square root of 3 y text  is  end text

text  The  end text y text -intercept of the equation  end text square root of 5 plus square root of 4 x equals square root of 3 y text  is  end text

MathematicsGrade-8
Grade-8
Mathematics

The equation of line with x-intercept 1 and y-intercept 0.1 is

The equation of line with x-intercept 1 and y-intercept 0.1 is

MathematicsGrade-8
Grade-8
Mathematics

The x-intercept of the equation, “Taxi company charges $5 for booking and $0.2 for every km. Represent the equation, taking x as the number of km and y as the total amount” is

An x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system. To find the x-intercept set y = 0 and solve for x.

The x-intercept of the equation, “Taxi company charges $5 for booking and $0.2 for every km. Represent the equation, taking x as the number of km and y as the total amount” is

MathematicsGrade-8

An x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system. To find the x-intercept set y = 0 and solve for x.

parallel
Grade-8
Mathematics

The x-intercept of the equation 2y + 3 = 2x is

The x-intercept of the equation 2y + 3 = 2x is

MathematicsGrade-8
Grade-8
Mathematics

The difference between x and y-intercepts is

The difference between x and y-intercepts is

MathematicsGrade-8
Grade-8
Mathematics

x-intercept is same as the y-intercept and sum of the intercepts is 2. The equation of line will be

x-intercept is same as the y-intercept and sum of the intercepts is 2. The equation of line will be

MathematicsGrade-8
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.