Linear Equations Quiz - CBSE Class 8 Mathematics

Free practice quiz: Linear Equations (CBSE Class 8 Mathematics). 17 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. What is the value of x in the equation 2x + 3 = 7?

   1. x = 1
   2. x = 2
   3. x = 3
   4. x = 4
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   Answer: B. x = 2

   To solve for x, first subtract 3 from both sides of the equation to get 2x = 4. Then, divide both sides by 2, yielding x = 2.

2. What is the slope of the line represented by the equation y = 2x + 1?

   1. 0
   2. 1
   3. 2
   4. Undefined
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   Answer: C. 2

   In the slope-intercept form (y = mx + b), 'm' represents the slope. Here, 'm' is 2.

3. What is the x-intercept of the line given by the equation 3x + 2y = 6?

   1. (0,2)
   2. (2,0)
   3. (3,0)
   4. (0,3)
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   Answer: B. (2,0)

   To find the x-intercept, set y = 0 in the equation: 3x + 2(0) = 6, which simplifies to 3x = 6. Solving gives x = 2. Thus, the x-intercept is (2,0).

4. If m1 and m2 are the slopes of two lines that are perpendicular, what is the relationship between them?

   1. m1 * m2 = 0
   2. m1 + m2 = 1
   3. m1 * m2 = -1
   4. m1 - m2 = 1
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   Answer: C. m1 * m2 = -1

   For two perpendicular lines, the product of their slopes is -1.

5. How do you rearrange the equation 4x - 3y = 12 to find y in terms of x?

   1. y = (4/3)x - 4
   2. y = (4/3)x + 4
   3. y = (3/4)x - 4
   4. y = (3/4)x + 4
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   Answer: A. y = (4/3)x - 4

   Rearrange to isolate y: 3y = 4x - 12, then divide by 3 to get y = (4/3)x - 4.

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