Do You Know Linear Equations And Functions?

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| By Jaksiboy

Jaksiboy

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Quizzes Created: 832 | Total Attempts: 12,193,838

Questions: 10 | Attempts: 163 | Updated: Mar 20, 2023

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Do You Know Linear Equations And Functions? - Quiz

If you ever pass through high school, then you must have come across linear equation and its functions. How well do you know it? Come on join the fun.

Questions and Answers

1.

Ax +by +c=0. Which of the following defines the above equation?
- A.
  
  Linear equation
- B.
  
  Additional equation
- C.
  
  Coefficient equation
- D.
  
  None of the above
Correct Answer
A. Linear equation

Explanation
The given equation, ax + by + c = 0, represents a linear equation. A linear equation is an equation in which the variables (x and y in this case) are raised to the first power and are not multiplied or divided by each other. The equation is in the form of a straight line when graphed, hence the name "linear equation". Therefore, the correct answer is "Linear equation".

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2.

Y=mx+b, What does m represent?
- A.
  
  Intercept
- B.
  
  Slope
- C.
  
  All of the above
- D.
  
  None of the above
Correct Answer
B. Slope

Explanation
The variable "m" in the equation y=mx+b represents the slope. The slope is a measure of how steep a line is and determines the rate of change between the y and x variables. In this equation, "m" is multiplied by the x variable, indicating that it determines the change in y for a given change in x. Therefore, the correct answer is "Slope".

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3.

Which of the following is a linear equation?
- A.
  
  5x = 6 + 3y
- B.
  
  Y = 2x + 1
- C.
  
  Y/2 = 3 − x
- D.
  
  All of the above
Correct Answer
D. All of the above

Explanation
All of the given equations are linear equations. A linear equation is an equation in which the highest power of the variable is 1. In the first equation, 5x = 6 + 3y, both x and y have a power of 1. In the second equation, y = 2x + 1, both x and y have a power of 1. In the third equation, y/2 = 3 - x, both y and x have a power of 1. Therefore, all of the given equations are linear equations.

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4.

Find y in the following equation. y/2 = 3
- A.
  
  6
- B.
  
  4
- C.
  
  5
- D.
  
  12
Correct Answer
A. 6

Explanation
To find y in the equation y/2 = 3, we need to isolate y. To do this, we can multiply both sides of the equation by 2. This cancels out the division by 2 on the left side, leaving us with y = 6. Therefore, the value of y is 6.

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5.

Which of the following is a linear equation?
- A.
  
  3√x − y = 6
- B.
  
  y/2 = 3
- C.
  
  X3/2 = 16
- D.
  
  All of the above
Correct Answer
B. y/2 = 3

Explanation
A linear equation is an equation that can be written in the form y = mx + b, where m and b are constants. In the given options, only the equation y/2 = 3 can be written in this form. Therefore, y/2 = 3 is the only linear equation among the options provided.

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6.

Which of the following is not a linear equation?
- A.
  
  Y − 2 = 3(x + 1)
- B.
  
  Y = 3x − 6
- C.
  
  5x = 6
- D.
  
  None of the above
Correct Answer
D. None of the above

Explanation
All of the given equations are linear equations. The first equation is in the form of y = mx + b, where m is the slope and b is the y-intercept. The second equation is also in the form of y = mx + b, with a slope of 3 and a y-intercept of -6. The third equation is in the form of ax + b = 0, which can be rearranged to the form of y = mx + b by dividing both sides by 5. Therefore, all of the given equations are linear equations, so the correct answer is "None of the above".

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7.

Which of the following is not a linear equation?
- A.
  
  Y2 − 2 = 0
- B.
  
  Y + 2x − 2 = 0
- C.
  
  5x = 6
- D.
  
  All of the above
Correct Answer
A. Y2 − 2 = 0

Explanation
The equation y2 − 2 = 0 is not a linear equation because it contains a squared term (y2), which makes it a quadratic equation. Linear equations have variables raised to the power of 1 (y, x) and do not include squared terms.

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8.

Which of the following is defined as the equation for a straight line?
- A.
  
  Linear Equation
- B.
  
  Coefficient
- C.
  
  Algebra
- D.
  
  None of the above
Correct Answer
A. Linear Equation

Explanation
A linear equation is defined as the equation for a straight line. It is a mathematical equation that represents a straight line on a graph. The equation is in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. This equation is used to describe relationships between variables that show a constant rate of change.

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9.

Which of the following is a linear equation?
- A.
  
  Ax + By + C = 0
- B.
  
  X3/2 = 16
- C.
  
  All of the above
- D.
  
  None of the above
Correct Answer
A. Ax + By + C = 0

Explanation
The equation Ax + By + C = 0 is a linear equation because it represents a straight line when graphed. The variables x and y have a power of 1, and there are no other terms or operations that would make the equation non-linear.

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10.

Find y in 3x+5=7
- A.
  
  4
- B.
  
  2/5
- C.
  
  0.4
- D.
  
  None of the above
Correct Answer
D. None of the above