SOLVING MULTI STEP EQUATIONS WITH FRACTIONS WORKSHEET

Solve the following equations :

1)  20/3 = x + (19/6)              Solution

2)  -61/12 = x - (4/3)             Solution

3)  7/12 = (7/9) x             Solution

4)  (-22/9)x = 11/9             Solution

5)  9/4 = (-3/2) x + 4  3/4             Solution

6)  -11/2 = -2  1/3 + (3  1/6) x             Solution

7)  (5/7) (3/2 + x) = 145/84             Solution

8)  (7/4)(x - 1) = 7/8             Solution

Problem 9 :

Use the table to find the number of miles x you need to bike on Friday so that the mean number of miles biked per day is 5.

Solution

Problem 10 :

The area of the postcard is 24 square inches. What is the width b of the message (in inches)?

Solution

Problem 11 :

You order two servings of pancakes and a fruit cup. The cost of the fruit cup is $1.50. You leave a 15% tip. Your total bill is $11.50. How much does one serving of pancakes cost?

Solution

Problem 12 :

The circles are identical. What is the area of each circle?

a) 2    b)  4     c)  16π     d)  64π

Solution

Problem 13 :

A boat travels x miles per hour upstream on the Mississippi River. On the return trip, the boat travels 2 miles per hour faster. How far does the boat travel upstream?

Solution

Problem 1 :

A supermarket has 1800 kg of root vegetables. 50% are potatoes and 25% are onions. What mass are the remaining root vegetables?

Solution

Problem 2 :

A school have a sponsored spell to raise money for their chosen charity, raising £764. 50% of the money is raised through dressing up. Of the remaining money, 25% is raised by selling cakes. The rest is raised by pupils paying to play games. How much is raised by playing games?

Solution

Problem 3 :

A book is 340 pages long. 10% of the book is the introduction. Alex reads the introduction and 50% of the rest of the book in one week. How many pages are left to read?.

Solution

Problem 4 :

A plasterer buys fifteen 25 kg bags of plaster. At the end of the week, only 10% of the plaster is left. How much plaster did they use?

Solution

Problem 5 :

A football team train for 18 hours every week. 25% of the time is spent on fitness and 10% on skills. The rest of the time is spent preparing for the next month. How long is spent on preparing for the next match?

Solution

Problem 6 :

In a class of 30 children, 10% cycle to school. Another 10% come by bus. 25% of the remaining children come by car. The rest of the children walk. How many children walk to school?

Solution

Problem 7 :

The population of a town is 24 400. 25% of the people are children. 10% of the children are under the age of two. How many children under the age of two live in the town?

Solution

Problem 8 :

A school orders 80 packs of pencils. Each pack contains 12 pencils. 10% of the pencils are given out the day they arrive in school. How many pencils are given out on that first day?

Solution

Problem 9 :

A bakery uses 48 kg of flour each day to bake bread. 2 kg of flour makes three loaves of bread. 25% of the loaves are wholemeal loaves. How many wholemeal loaves are baked each day?

Solution

Problem 10 :

A sunflower is measured at the beginning of June and is 40 cm tall. The sunflower grows by 25% each month for three months. What height is the sunflower to the nearest centimetre at the beginning of September?

Solution

Solve the following equations :

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