# SOLVING TWO STEP EQUATIONS WORD PROBLEMS WORKSHEET

Solve each of the following equation.

1)  4x+5 = 29               Solution

2)  7-5x = 22               Solution

3)  (x/6) - 12 = 8             Solution

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

5)  (2x/5) - 7 = 3               Solution

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

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

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

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

10)  The sum of four consecutive integers is -54.

Solution

 1)  x = 62)  x = -33)  x = 404)  a5)  x = 25 6)  g = -137)  x = 128)  x = 79)  7710)  x = -15

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

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?

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

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.

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

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

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

 1)  x = 42)  m = 83)  r = 54)  x = 44 5)  x = 226)  x = 307)  x = 62

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