Write the equation for the statement: 'Twice a number p, increased by 5, equals 17.'

Class 7Simple EquationsSimple Equations

A $2 p + 5 = 17$
B $2 (p + 5) = 17$
C $p + 5 = 17$
D $5 p + 2 = 17$

Step-by-Step Solution

Twice a number is

2 p

; increased by 5 gives

2 p + 5

; this equals 17. So

2 p + 5 = 17

Answer: A)

2 p + 5 = 17

Key idea: Translating word problems into equations

Three steps:
1. **Pick a variable** for the unknown ('let

x

be the number of …').
2. **Translate the words into an equation** using the operations the problem describes.
3. **Solve and answer in the original units.**

Example: 'Three times a number plus 7 equals 22. Find the number.'
Let

x

= the number. Equation:

3 x + 7 = 22

. Solve:

3 x = 15, x = 5

.
Answer: the number is 5.

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