SOLVING LINEAR EQUATIONS WITH FRACTIONS WORKSHEET

Solve the following :

(1)  x/2 + x/4 + x/5 + 10000 = x

Solution

(2) If (5x/3) - 4 = 2x/5, then the numerical value of 2x-7 is

Solution

(3) -4/3y = -3/4 then y =

Solution

(4) (x/5) + 30 = 18 has the solution as

Solution

(5) If (2/5) (x-2) = 5-(3/5)x then x = ?

Solution

(6) x/5 = (x - 1)/6

Solution

(7) (x/2) - (1/4) (x-1/3) = (1/6) (x+1) + (1/12)

Solution

(8) (1/2) (x + 1) + (1/3) (x - 1) = (5/12) (x - 2)

Solution

Problem 9 :

A truck driver averages 60 miles per hour while delivering freight to a customer. On the return trip, the driver averages 50 miles per hour due to construction. The total driving time is 6.6 hours. How long does each trip take?

Solution

Problem 10 :

Your starter deck for a collectible card game has 50 cards. The deck contains 17 creature cards. You add creature cards to the deck until it contains 50% creature cards. How many do you add?

Solution

Problem 11 :

A basketball player attempts 64 free throws and makes 50 of them.

a. What is her free throw percentage?

b. Suppose the player makes x additional consecutive free throws. Write an expression for her new free throw percentage.

c. The player wants to end the season with a free throw percentage of .800. How many additional consecutive free throws must she make to achieve this?

Solution

(1) (x + 1) / 4 = (x - 2) / 3                Solution

(2) (2x - 1) / 5 = (3x + 1) / 3            Solution

(3) 3x - (x - 2)/3 = 4 - (x - 1)/4         Solution

(4) (3t + 5/4) - 1 = (4t - 3) / 5           Solution

(5) (2y - 3)/4 - (3y - 5)/2 = y + 3/4        Solution

(6) (3t - 2) / 3 + (2t + 3) / 2 = t + 7/6          Solution

(7) m - (m - 1)/2 = 1 - (m - 2) / 3         Solution

Problem 1 :

A math teacher gives her class the following problem. Barry is selling magazine subscriptions for a school fundraiser.

He has already sold 15 subscriptions. He plans to sell 3 subscriptions per week until he reaches a total of 30 subscriptions sold. How many weeks will it take Barry to achieve his goal.

Solution

Problem 2 :

A trampoline park costs $12 for the first hour and $6 for each additional hour.

Flynn pays $30 at the trampoline park. Write the equation that represents the given situation and find the number of additional hours Flynn stays at the trampoline park after the first hour.

Solution

Problem 3 :

Tim's phone service charges $25.82 plus an additional $0.20 for each text message sent per month. If Tim's phone bill was $30.82, which equation could be used to find how many text messages, x, Tim sent last month?

Solution

Problem 4 :

Ryan is performing an experiment. He starts with a solution that has a temperature of 12.2°C. He lowers the temperature 5 times by the same amount each time. He stopped the experiment when the temperature of the solution was was -14.61°C.

Which equation can be used to find x, the number of degrees he lowered the temperature by each time?

Solution

Problem 5 :

Ruth has 12 rolls at her bakery. She receives an online order for 60 rolls. Ruth bakes rolls in batches of 24. Write the equation that represents the given situation and find the number of batches Ruth needs to make to complete the order.

Solution

Problem 6 :

Mary spent a total of $291.63 for a party. She spent $200.67 on food, plus an additional $30.32 for each hour of the party. How long was the party?

Solution

Problem 7 :

An oil drilling company drills the same distance each day for 5 days. They started at an elevation of 121.175 feet and ended at an elevation of -246.875 feet. Which equation can be used to find x, the distance they drilled each day?

Solution

Problem 8 :

Tim and Tom are trying to earn money to buy a new game system over a 3-month period. Tim saved $45.88 each month. If they need a total of $213.33 to buy the game system, how much does Tom need to earn each of the 3 months in order to buy the game system?

Solution