Writing One-Variable Equations

Writing One-Variable Equations

Read each statement carefully and write a one-variable equation to represent the situation. Use 'x' for the unknown variable unless otherwise specified.

1. Eight more than a number is fifteen.  

2. The product of six and a number is forty-two.  

3. A number decreased by seven is negative two.  

4. The quotient of a number and five is ten.  

5. Three times a number, plus four, is twenty-five.  

1. Sarah bought a book for $12.50 and a magazine. If she spent a total of $18.75, write an equation to find the cost of the magazine.

2. A rectangle has a perimeter of 50 cm. If the length is 15 cm, write an equation to find the width of the rectangle.

3. Emily is saving money for a new bicycle that costs $250. She has already saved $70. Write an equation to find out how much more money she needs to save.

1. Which equation represents "Ten less than twice a number is forty"?

2. A number decreased by one-third of itself is twelve. Which equation represents this statement?

1. The phrase "five less than a number" can be written as 5 - x.

2. "The sum of a number and three, multiplied by two, is eighteen" can be written as 2(x + 3) = 18.