Category: Linear Equations

This page is about Multiple Choice Questions and Answers for the subject of Business Mathematics. MCQs about Linear Equation (and Business Mathematics) will help the students to learn fundamental concepts and will enable them to self-assessment the core concepts related to mathematics and the application of mathematics in the field of business. Let us Start with MCQs Linear Equation.

MCQs about Linear Equations and Functions for the preparation of Business Mathematics. It covers Linear related topics for the preparation of examinations for the degrees of MBA, ICMAP, CA, commerce, and other business degrees.

1. The minimum exponent of the variable in equation $3x^2-4x-6=-$ is:

 0

 1

 6

 None

2. The line joining the points ($-8,3$) and ($2,1$) and the line joining the points ($6.0$) and ($11, -1$) are

 Parallel

 Perpendicular

 Intersecting but not Perpendicular

 None

3. A line falls from left to right if a slope is _____

 Positive

 Negative

 Zero

 Undefined

4. Solve the linear equation $\frac{1}{2}-\frac{1}{3}=\frac{1}{x}$

 $ -1 $

 $ 1 $

 $ 6 $

 $ \frac{1}{6} $

5. The $x$-intercept of the equation $y=3x-\frac{1}{2}$ is

 3

 $ -\frac{1}{2} $

 +2

 $ \frac{1}{6} $

6. The slope is defined as:

 A value of an independent variable increased or decreased when a dependent variable is increased or decreased one unit

 A value of a dependent variable increased or decreased when an independent variable is increased or decreased one unit

 Both (a) and (b)

 Either (a) or (b)

7. A private taxi costs Rs. 6 for every KM. Find the fare of a 10 KM long trip, if the base rate of the taxi is Rs 100?

 Rs 150

 Rs 116

 Rs 180

 RS 160

8. If the value of the slope is positive, then:

 Both axes are inversely proportional

 One axis becomes constant

 Both axes become constant

 Both axes are directly proportional

9. A line parallel to $y$-axis has a slope which is _________

 Zero

 One

 Undefined

 four

10. Point $(-8,-2)$ would lie in quadrant _______

 I

 II

 III

 IV

11. An equation in which the maximum power of the variable is one is known as:

 Linear equation

 Quadratic equation

 Non-linear equation

 None

12. The graph of a linear equation $X+2Y=2$ cuts the $y$-axis at:

 (2, 0)

 (0, 2)

 (0, 1)

 (1, 1)

13. The graph of the equation $ax+b=0$ is:

 Parallel to $x$-axis

 Parallel to $y$=axis

 Neither parallel to any axis

 None

14. The line passes through ($1,-5$), ($5,-4$) and ($21,0$), what is slope:

 0

 4

 $ \frac{1}{4} $

 Cannot be determined

15. Which of the following is not a linear equation?

 $ 3x-4y=0 $

 $ X-2xy+y=0 $

 $ \sqrt{x^2-2xy+y^2}=25 $

 None

16. Find the value of $X$ to satisfy the equation $3X+4=16-X$

 $ -2 $

 $ 2 $

 $ 3 $

 $ 4 $

17. The graph of $X=3$ is a line:

 Parallel to the $x$-axis at a distance of 3 units from the origin

 Parallel to the $y$-axis at a distance of 3 units from the origin

 Makes an intercept 3 on the $x$-axis

 Makes an intercept 3 on the $y$-axis

18. If $X$ and $Y$ both positive solutions of equation $aX+bY+c=0$, always lie in the

 First Quadrant

 Second Quadrant

 Third Quadrant

 Fourth Quadrant

19. The equation $(x-a)(x-b)=0$ is an example of:

 One-degree equation

 Two-degree equation

 Non-Linear equation

 (b) and (c) both

20. The linear equation $3X-11Y = 10$ has

 Unique Solution

 Two Solutions

 Infinitely Many Solutions

 {No solution

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Key Points about Linear Equation

• An equation states the equality of two algebraic expressions.
• The algebraic expression may be stated in terms of two or more variables.
• The numbers or values of the variables, which make the equation true are referred to as the roots of the equation.
• Roots are the values of the variable(s) which satisfy the equations.
• An identity is an equation that is true for all values of the variables.
• The equation $5(x+y)=5x+5y$ is an example of identity.
• A conditional equation is true for only a limited number of values of the variables, for example, $x+3=5$ is true only when $x$ equals 2.
• A false statement or contradiction is an equation that is never true. That is, there are no values of the variable(s) which make the two sides of the equation equal. For example, $x=x+5$.
• Solving an equation refers to the process of finding the roots of an equation if any roots exist.
• Equivalent equations are equations, which have the same roots.

• Any straight line, with the exception of a vertical line, can be characterized by its slope.
• Slope refers to the inclination or declination of a line.
• The slope of a line may be positive, negative, zero, or undefined.
• A line with a positive slope rises from left to right or runs uphill.
• A line having a negative slope falls from left to right or runs downhill.
• A line having a zero slope is horizontal.

Basic Mathematics Quiz