# Simple Equations – CBSE Class 7 Mathematics/ Worksheet

**Simple Equations- Class 7 Mathematics/Worksheet is about the Model questions that you can expect for Yearly Examination. Here you can find out practice problems for Class 7 Mathematics. This worksheet is designed for CBSE Class 7 students.**

**Simple Equations – Class 7 Mathematics/WorksheetImportant Questions for CBSE Class 7 MathematicsFill in the blanks:**

**The solution of 3n + 4 = 19 is ————–****‘Sum of the numbers p and 3 is 8’ can be written as ——****‘5 is added to twice a number y’ can be written as ———–****The solution of 3a = 15 is ———–****If 3 times a number is 27, then the number is ————-**

Answer the following:**Find three consecutive numbers whose sum is 33.****Solve:**

a) 2(x – 1) = 8

b) 10 – (y – 5) = 0**Write the following statements in the form of equations:**

a) 9 is subtracted from thrice a number y gives 3.

b) 5 multiplied by a number p give 25**Convert the following equations in statement form:**

a) 3a = 9

b) 2x – 9 = 5**Solve: 3(p – 2) = (p – 4) – 5****If 5 is added to twice a number x gives 15. Find the number?****The sum of three consecutive even numbers is 36. Find the numbers?****Manu’s father’s age is 3 times Manu’s age. Find Manu’s age if father is 45 year old.****The perimeter of a rectangle is 24 cm. If the breadth of the rectangle is 5 cm, find its length?****Solve:**

a) 3x + 5 = x – 5

b) 2x = 3(x – 4) + 5

**ANSWERS:**

**n = 5****p + 3 = 8****5 + 2y****a = 5****9****Let the three consecutive numbers be y, y+ 1 and y + 2.**

Given y + y + 1 + y + 2 = 33

3y + 3 = 33

3y = 33 – 3 = 30

y = 30/3 = 10

Three consecutive numbers are 10, 11 and 12.**a) 2( x – 1) = 8**

2x – 2 = 8

2x = 8 + 2 = 10

x = 10/2 = 5

b) 10 – (y – 5) =0

10 – y + 5 = 0

15 – y = 0

y =15**a) 3y – 9 = 3**

b) 5p = 25**a) Thrice a number a gives 9**

b) 9 subtracted from twice a number x gives 5.**3(p – 2) = (p – 4) – 5**

3p – 6 = p – 4 – 5

3p – p = -9 + 6

2p = -3

p = -3/2**5 + 2x = 15**

2x = 15 – 5 = 10

x = 10/2 = 5**Let the three consecutive even numbers be x, x+2 and x+ 4.**

Given x + x + 2 + x + 4 = 36

3x + 6 = 36

3x = 36 – 6 = 30

x = 30/3 = 10

The consecutive even numbers are 10, 12 and 14.**Let Manu’s age be y.**

Given 3y = 45

y = 45/3 = 15**Perimeter = 24 cm**

Breadth = 5 cm

Let length be l.

We know that 2(l + 5) = 24

l + 5 = 24/2 = 12

l = 12 – 5 = 7 cm**a) 3x + 5 = x – 5**

3x – x = -5 – 5

2x = -10

x = -10/2 = -5

b) 2x = 3(x – 4) + 5

2x = 3x – 12 + 5

2x – 3x = -7

-x = -7

x = 7