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Solving Equations (with Fractions!)

Total questions: 12

Worksheet time: 2hrs 0mins

Name
Class
Date
1.

Solve the following:

 14⋅x=−45\frac{1}{4}\cdot x=-\frac{4}{5}  

a)

 x=−165x=-\frac{16}{5}  

b)

 x=320x=\frac{3}{20}  

c)

 x=−720x=-\frac{7}{20}  

d)

Other

2.

Solve the following:

 x−53=74x-\frac{5}{3}=\frac{7}{4}  

a)

 x=4112x=\frac{41}{12}  

b)

 x=112x=\frac{1}{12}  

c)

 x=−512x=-\frac{5}{12}  

d)

Other

3.

Solve the following:

 5x+1213=125x+\frac{12}{13}=\frac{1}{2}  



a)

 x=−14x=-\frac{1}{4}  

b)

 x=613x=\frac{6}{13}  

c)

 x=913x=\frac{9}{13}  

d)

Other

4.

Solve the following equation:

 12⋅x−34=114\frac{1}{2}\cdot x-\frac{3}{4}=\frac{11}{4}  

a)

 x=7x=7  

b)

 x=−12x=-\frac{1}{2}  

c)

 x=2x=2  

d)

Other

5.

Solve the following:

 −3⋅y−125=15-3\cdot y-\frac{12}{5}=\frac{1}{5}  

a)

 y=−1315y=-\frac{13}{15}  

b)

 y=53y=\frac{5}{3}  

c)

 y=−1915y=-\frac{19}{15}  

d)

Other

6.

Solve the following:

 35⋅x−12=134\frac{3}{5}\cdot x-\frac{1}{2}=\frac{13}{4}  

a)

 x=614x=6\frac{1}{4}  

b)

 x=325x=3\frac{2}{5}  

c)

 x=−212x=-2\frac{1}{2}  

d)

Other

7.

Solve the following:

 −52⋅m−116=38-\frac{5}{2}\cdot m-\frac{1}{16}=\frac{3}{8}  



a)

 m=−740m=-\frac{7}{40}  

b)

 m=−14m=-\frac{1}{4}  

c)

 m=716m=\frac{7}{16}  

d)

Other

8.

Solve the following:

 −13⋅n−139=−718-\frac{1}{3}\cdot n-\frac{13}{9}=-\frac{7}{18}  



a)

 n=−196n=-\frac{19}{6}  

b)

 n=263n=\frac{26}{3}  

c)

 n=−518n=-\frac{5}{18}  

d)

Other

9.

Solve the following:

 18⋅a+724=−14\frac{1}{8}\cdot a+\frac{7}{24}=-\frac{1}{4}  



a)

 a=−133a=-\frac{13}{3}  

b)

 a=−13a=-\frac{1}{3}  

c)

 a=−4a=-4  

d)

Other

10.

Solve:

 −65⋅y=−23-\frac{6}{5}\cdot y=-\frac{2}{3}  


a)

 y=59y=\frac{5}{9}  

b)

 y=−815y=-\frac{8}{15}  

c)

 y=−625y=-\frac{6}{25}  

d)

Other

11.

Maria thought of a number, multiplied it by 2/5 in order to get 5/9. What number was Maria thinking of?

a)

2518\frac{25}{18}

b)

49\frac{4}{9}

c)

52\frac{5}{2}

d)

Other

12.

Some number, plus 4/5, equals 1/4. Find the number.

a)

−1120-\frac{11}{20}

b)

−2011-\frac{20}{11}

c)

23\frac{2}{3}

d)

−23-\frac{2}{3}