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Worksheets

Solving Equations Review - Mixed!

Total questions: 15

Worksheet time: 14mins

Name
Class
Date
1.

Solve for x:

 2(2x3x)=22\left(2x-3x\right)=2  

a)

2

b)

-2

c)

0

d)

-1

2.

Solve for h:

 (2kh)=1-\left(2k-h\right)=1  

a)

h = 2k - 1

b)

h = 1 - 2k

c)

h = 1 + 2k

d)

h = (1/2)k

3.

Solve for t:

 t2=9t^2=9  

a)

t = 9

b)

t = 3

c)

t = -3 and 3

d)

t = -3

4.

Solve for m:

 m2n=pm^2-n=p  

a)

 m=p+nm=\sqrt{p+n}  

b)

 m=p+n2m=p+n^2  

c)

 m=pnm=\sqrt{p-n}  

d)

 m=(pn)2m=\left(pn\right)^2  

5.

Solve for x:

 9=(x+1)29=\left(x+1\right)^2  

a)

x = 3

b)

x = 2

c)

x = -4 and 2

d)

x = 3 and -4

6.

Solve for x:

 16=(x1)216=\left(x-1\right)^2  

a)

x = -5

b)

x = 5

c)

x = -5 and 3

d)

x = 5 and -3

7.

Solve for x:

  2x+y2=z\ 2x+y^2=z  

a)

 x=zy22x=\frac{z-y^2}{2}  

b)

 x=y12zx=\sqrt{y}-\frac{1}{2}z  

c)

 x=zy2x=\sqrt{\frac{z-y}{2}}  

d)

 x=2zy2x=2z-y^2  

8.

Solve for t:

 (t21)=24-\left(t^2-1\right)=-24  

a)

t = 3 and 4

b)

t = -5 and 5

c)

t = -4 and 4

d)

t = -3

9.

 12(x+3)=5\frac{1}{2}\left(x+3\right)=5  ; solve for x

a)

x = 7

b)

x = 3/2

c)

x = 9

d)

x = 1

10.

 13(2x2)=1\frac{1}{3}\left(2x-2\right)=1  ; solve for x

a)

x = 2/3

b)

x = 5/3

c)

x = 3/2

d)

x = 5/2

11.

Solve for p:   p+6=2\sqrt{p+6}=2  

a)

p = -2

b)

p = -3

c)

p = -1

d)

no solution

12.

Solve for p:   2p4=102\sqrt{p-4}=10  

a)

p = 29

b)

p = 25

c)

p = 34

d)

p = 30

13.

 2(x+1)(x4)=02\left(x+1\right)\left(x-4\right)=0  

Solve for x

a)

x = -1, 4

b)

x = 1, -4

c)

x = -2, 8

d)

x = 2, -8

14.

 (2x+1)(x5)=0\left(2x+1\right)\left(x-5\right)=0  

Solve for x

a)

x = 1, -5

b)

x = -1, 5

c)

x = -1/2, 5

d)

x = 1/2, -5

15.

 y=mx+by=mx+b  

Solve for m

a)

 m=ybmm=y-bm  

b)

 m=ybxm=\frac{y-b}{x}  

c)

 m=yxbm=\frac{y-x}{b}  

d)

 m=ybxm=y-\frac{b}{x}