Class 8 Practice – Level 3 – Set 1 – Linear Equations in One variable

Total questions: 15

The sum of the ages of a father and his son is 70 years. The father is four times as old as his son. Find their present ages.

Topic: Applications of Linear Equations

Father: 40 years, Son: 30 years

Father: 60 years, Son: 10 years

Father: 50 years, Son: 20 years

Father: 48 years, Son: 22 years

None

Check if $x = 3$ is a solution for the equation $\dfrac{2x + 3}{5} - \dfrac{x - 1}{2} = 1$.

Topic: Checking the Solution

Yes, the solution is correct

No, the solution is incorrect

Yes, but the equation is not balanced

No, but the equation is valid

None

Solve for $x$: $9(x - 2) - 6 = 2(3x + 4) - 5$.

Topic: Linear Equations with Variables On One Side

$x = 3$

$x = -3$

$x = 5$

$x = -5$

None

Solve for $x$: $\dfrac{x}{3} + \dfrac{2x}{5} = 7$.

Topic: Equations with Fractions

$x = 15$

$x = 21$

$x = 25$

$x = 20$

None

Solve for $x$: $2(3x - 4) - 3(x + 2) = 5$.

Topic: Solving Linear Equations

$x = 3$

$x = 4$

$x = 5$

$x = 6$

None

Solve for $x$: $4x + 5 = 3(2x - 1) + 7$.

Topic: Solving Linear Equations

$x = 3$

$x = 2$

$x = 1$

$x = 4$

None

The sum of the present ages of a mother and her son is 50 years. Ten years ago, the mother was five times as old as her son. Find their present ages.

Topic: Applications of Linear Equations

Mother: 40 years, Son: 10 years

Mother: 35 years, Son: 15 years

Mother: 45 years, Son: 5 years

Mother: 30 years, Son: 20 years

None

Solve for $x$: $5(2x - 3) = 3(4x + 2) - 2$.

Topic: Linear Equations with Variables On One Side

$x = -1$

$x = 2$

$x = 1$

$x = -2$

None

Solve for $x$: $\dfrac{5x + 3}{4} = \dfrac{2x - 5}{2}$.

Topic: Equations with Fractions

$x = 4$

$x = -13$

$x = 5$

$x = 1$

None

10.

Solve for $x$: $7x - 5 = 3(2x - 4) + 2$.

Topic: Simplification of Equations

$x = -5$

$x = 4$

$x = 5$

$x = 3$

None

11.

Solve for $x$: $4(2x + 5) = 3(3x + 4) + 7$.

Topic: Solving Linear Equations

$x = 3$

$x = 4$

$x = 2$

$x = 1$

None

12.

The perimeter of a rectangle is 50 cm. The length of the rectangle is 5 cm more than twice its width. Find the dimensions of the rectangle.

Topic: Applications of Linear Equations

Length = 22 cm, Width = 12 cm

Length = 20 cm, Width = 12 cm

Length = 24 cm, Width = 13 cm

Length = 25 cm, Width = 15 cm

None

13.

Check if $x = -1$ is a solution for the equation $2(x - 3) = 4(x + 2)$.

Topic: Checking the Solution

Yes, the solution is correct

No, the solution is incorrect

Yes, but the equation is not balanced

No, but the equation is valid

None

14.

Solve for $x$: $3x + 7 = 2(x + 4)$.

Topic: Linear Equations with Variables On One Side

$x = -1$

$x = 2$

$x = 1$

$x = -2$

None

15.

Solve for $x$: $\dfrac{x + 1}{3} = \dfrac{2x - 4}{6}$.

Topic: Equations with Fractions

$x = 1$

$x = 2$

$x = -1$

$x = -2$

None

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Class 8 Practice – Level 3 – Set 1 – Linear Equations in One variable

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