2.05 Quiz: Applications of Linear Equations

Mindy is 36 years old. Mindy's age is 3 years older than two times Jake's age. Let j represent Jake's age. Which equation can be used to solve for Jake's age?

36 = 2j + 3

The sum of three consecutive even integers is 72. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer. Which equation can be used to find the first integer?

3x + 6 = 72

A rectangle has a length of 3.6 in. and a perimeter of 16.8 in. Enter the width of the rectangle, in decimal form, in the box.

4.8 inches

There are $3.90 worth of nickles and quarters in a piggy bank. There are 6 more quarters than nickels. How many of each coin are in the piggy bank?

8 nickels and 14 quarters

Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 3 h. Train B reaches station B after 214 h. Station A and Station B are 420 mi apart. What is the rate of the trains?

80 mph