Writing Equations Worksheet

Writing Equations Practice

Read each problem carefully and write an algebraic equation to represent the given situation. Define your variables clearly.

1. A number increased by seven is equal to twenty-three. Write an equation to represent this.

Let x be the number.

2. Three times a number, decreased by five, is eleven. Write an equation to represent this.

Let n be the number.

3. The sum of two consecutive integers is forty-five. Write an equation to represent this.

Let x be the first integer.

Fill in the blanks to complete the equations based on the phrases.

1. Eight less than twice a number is fourteen. 2x -   = 14

2. The product of a number and six is thirty. 6   = 30

3. Half of a number plus nine is fifteen.  /2 + 9 = 15

1. Which equation represents 'The perimeter of a square with side length 's' is 36 units'?

2. Sarah is 'x' years old. Her brother is 3 years older than her. Their combined age is 25. Which equation represents this?

For each scenario, define your variables and then write an equation.

1. A rectangular garden has a length that is twice its width. The perimeter of the garden is 48 meters.

Define variables:

Equation:

2. John bought 'c' candies at $0.75 each and a drink for $2.50. He spent a total of $10.00.

Define variables:

Equation: