Teacher's Resources

7. Linear Equations in One Variable

Click the correct answer (True & False).

In a linear equation, the maximum power of a variable is one.

True

False

A linear equation in one variable can have many solutions.

True

False

While solving an equation, we can multiply one side and divide the other by the same constant.

True

False

From a given solution, an infinite number of equations can be constructed.

True

False

4x + 1 > 3x – 2 is a linear equation in one variable.

True

False

To balance an equation, we have to perform the same operation on both sides.

True

False

An equation changes if its LHS and RHS are interchanged.

True

False

$$\frac{9}{5}$$ is the solution of the equation 4x – 1 = 8.

True

False

If 4x – 7 = 11, then x = 4.

True

False

If x + (2x – 15) + (2x + 5) = 180, then x = –38.

True

False

Click the correct answer.

What is the solution of the equation 3x + 7 = 13?

–1

Two supplementary angles are such that one is 60° less than the other. Which is the greater of the two angles?

60°

80°

100°

120°

The length and breadth of a rectangle are in the ratio 3 : 1. If the perimeter of the rectangle is 72 m, then what is the length of the rectangle?

9 m

18 m

27 m

36 m

Which of the following equations has the solution as x = –3?

2x + 8 = 2

2x + 8 = 3

2x + 7 = 2

5x = 14

For what value of y do the expressions (y – 15) and (2y + 1) become equal?

–16

Which of the following equations can be formed starting with x = 0?

2x + 1 = – 1

x + 5 = 7

3x – 1 = – 1

6x – 1 = 1

What is the value of m if 6m + 13 = 1?

–2

–1

What is the value of $$x$$ if $$\frac{x}{7} + 2 = 11$$?

What is the value of m if 0 = 16 + 4(m – 6)?

–2

What is the value of x if –4(2 + x) = 8?

–2

–4

Click the correct answer.

If six times a number equals 72, then the number is .

x = 3 is the of the equation 5x – 12 = 3.

factor

solution

degree

If $$\frac{y}{2}$$ = 3, then the value of $$y$$ is .

A linear equation in two variables has number of solutions.

a finite

an infinite

equal

While solving an equation, an additive constant having a positive sign on transposing it to the other side.

changes to a negative

remains positive

vanishes

One-third of a number minus 1 gives 2. The number is .

is the solution of the equation 3x – 2 = 7.

x = –3

x = 5

x = 3

If x – $$\frac{7}{8}$$ = $$\frac{7}{8}$$, then x = .

$$\frac{4}{7}$$

$$0$$

$$\frac{7}{4}$$

If 2(y + 4) = 12, then y = .

–2

If $$\frac{20p}{3}$$ = 40, then $$p$$ = .

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