SOLVING TWO STEP EQUATIONS WORD PROBLEMS WORKSHEET

Solve each of the following equation.

Problem 1 :

4x + 5 = 29

Solution

Problem 2 :

7 - 5x = 22

Solution

Problem 3 :

(x/6) - 12 = 8

Solution

Problem 4 :

Which of the following equations equivalent to 2x + 13 = -5 ?

(a) 2x + 5 = -13  (b) x = 2 (-5-13) 

(c) x + 13 = -2.5  (d) 2x + 11 = -3

Solution

Problem 5 :

(2x/5) - 7 = 3

Solution

Problem 6 :

A number g is decreased by 23 and then multiplied by 1/2. The result is 8 more than twice the number g.

Solution

Problem 7 :

Nine less than twice x is three more than x. What is the value of x?

Solution

Problem 8 :

Eight less than four times the number c is twenty. What is the value of c?

Solution

Problem 9 :

The sum of four consecutive odd integers is 296. What is the greatest of the four consecutive odd integers?

Solution

Problem 10 :

The sum of four consecutive integers is -54.

Solution

Problem 11 :

Describe and correct the error in solving the equation.

Solution

Problem 12 :

You go on a hike with your uncle. Your backpack weighs 25 pounds. Your uncle is a math teacher and he tells you that your pack is 7 pounds less than twice as heavy as his pack. Use the equation 2p − 7 = 25 to find the weight of your uncle’s backpack.

Solution

Problem 13 :

You pilot a helicopter tour from Orlando to West Palm Beach along the coast. On the return trip, you fly straight back to Orlando at a steady speed in 1.3 hours. The total distance is 313 miles. Write and solve an equation to find your speed from West Palm Beach to Orlando.

Solution

Problem 1 :

The sum of three times a number x and 5 is 17. What is the number?

Solution

Problem 2 :

As a membership fee, a health club charges a one-time amount of $40 and charges $25 for each month. The total fee after m months is $240. What is the value of m?

Solution

Problem 3 :

A runner warms up for ten minutes and then takes seven minutes to run each mile. The total time after r miles is 45 minutes. How many miles are run? 

Solution

Problem 4 :

Jaimie picks out a blouse to purchase. It is on sale for 25% off plus she has got $10 off coupon. She pays $23 for the blouse. Determine the original price.

Solution

Problem 5 :

Michael is collecting sea glass from the beach. He begins with 14 pieces in his collection and adds 3 new pieces per day. Determine how many days it will take Michael to have 80 pieces of sea glasses in his collection.

Solution

Problem 6 :

Jacob joined a gym last year. His total bill for the year was $410 including a monthly membership fee and a one-time $50 enrollment fee.

Solution

Problem 7 :

The cell phone company charges $44.95 a month and $0.25 per text message. The bill for the month is $60.45. How many texts (x) were sent?

Solution

Problem 8 :

You pay $80 for a game system. The monthly rental fee for games is m dollars. Your cost for the year is $188. Using the equation 12m + 80 = 188, how much is your monthly fee?

a) $8        b) $9        c)  $12       d) $22

Solution

Problem 9 :

You and your friend rent a tandem bike. Your total cost is $42. Write and solve an equation to find the number of extra hours you rented the bike.

Solution

Problem 10 :

You and your friend rent a kayak. It costs $40 for the first 4 hours and $7.50 for each extra hour. Your total cost is $62.50. Write and solve an equation to find the number of extra hours you rented the kayak.

Solution

Problem 11 :

Why is the equation 5x − 12 = 23 called a two-step equation?

Solution

Problem 12 :

Describe and correct the error in solving the equation.

Solution