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Formative Assessment: Linear Equations in One Variable | Mathematics (Maths) Class 8 PDF Download
Ques 1: Complete the following crossword puzzle using the given directions for across (from left to right) and down (from top to bottom):
Directions:
Across:
(1) __________ means taking a term from one side of an equation to the other side with its sign changed.
(2) The value of the variable in an equation which makes LHS and RHS equal is called __________.
(3) In an algebraic term ax, ‘a’ is called __________of x.
Down:
(4) The other name of a solution of an equation.
(5) A literal symbol which takes on various numerical values is called a __________.
(6) A combination of constants and variables, connected by some or all basic operations is called an algebraic __________.
(7) A polynomial of degree 1 is called a __________ polynomial.
Ques 2: Match the following:
| Column A | Column B |
 | ( i ) x = –4 |
 | (ii) x = –39 |
 | (iii) x = 5 |
 | (iv) x = 27/10 |
Ques 3:
(i) Which of the following is not an equation:
(a) 
(b) 
(c) 
(d) 2x – 3y + 7 = –1
(ii) Which of the following is a root of 
(a) 10
(b) –10
(c) 0
(d) 
(iii) Which of the following is the value of x in 
(a) 
(b) 81/4
(c) – 3 6
(d) 36
(iv) Which of the following is the value of x in 
(a) 1/3
(b) 
(c) 
(d) 1/5
Ques 4:
(i) Is px2–qy = 1 a linear equation?
(ii)
a linear equation?
(iii) Fill in the blank:
An equation which, when reduced to a simple form, involve no power of the variable quantity higher than ___________ is called a simple equation.
(iv) Which of these is the same as 9x + 7 = 8 ?
(a) 9x = 8/7
(b) 9x + 7–7 = 8–7
(c) 9x + 7–8 = 8–8
(d) 
(v) The equation 2x–1 = 5 is identical to:
(a) 3x – 1 = 5
(b) 4x – 2 = 10
(c) x = 2
(d) 4x + 2 = 10
Answers
1.
(1) → TRANSPOSING
(2) → SOLUTION
(3) → COEFFICIENT
(4) → ROOT
(5) → VARIABLE
(6) → EXPRESSION
(7) → LINEAR
2.
(a) → (iv)
(b) → (iii)
(c) → (i)
(d) → (ii)
3.
(i) (b)
(ii) (b)
(iii) (c)
(iv) (a)
4.
(i) No.
(ii) Yes
(iii) One
(iv) (b)
(v) (b)
The document Formative Assessment: Linear Equations in One Variable | Mathematics (Maths) Class 8 is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Formative Assessment: Linear Equations in One Variable - Mathematics (Maths) Class 8
| 1. What is a linear equation in one variable? |  |
| 2. How do you solve a linear equation in one variable? | |
Ans. To solve a linear equation in one variable, you need to isolate the variable on one side of the equation. You can do this by performing various operations, such as addition, subtraction, multiplication, and division, on both sides of the equation. The goal is to simplify the equation until you find the value of the variable.
| 3. What is the importance of linear equations in one variable? | |
Ans. Linear equations in one variable are important in various fields, including mathematics, physics, economics, and engineering. They provide a simple and efficient way to represent and solve real-world problems involving relationships between variables. Linear equations also serve as a foundation for more advanced mathematical concepts.
| 4. Can a linear equation in one variable have more than one solution? | |
Ans. No, a linear equation in one variable can have at most one solution. This is because a linear equation represents a straight line, and a line can intersect the x-axis (the line represented by the equation) at most once. If the equation has no solution, it means the line does not intersect the x-axis.
| 5. How can linear equations in one variable be used in everyday life? | |
Ans. Linear equations in one variable can be used in everyday life to solve various practical problems. For example, they can help in calculating distances, determining rates of change, analyzing business profits, budgeting expenses, and predicting future trends. They provide a mathematical framework for understanding and solving real-world situations.
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