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Worksheets

Solve equations for specific variables

Total questions: 20

Worksheet time: 23mins

Name
Class
Date
1.

6x + y = 10

a)

y = 6x + 10

b)

y = -6x + 10

c)

y = 6x -10

d)

y = -6x - 10

2.

-10 - y = 3x

a)

y = 3x - 10

b)

y = 3x + 10

c)

y = -3x + 10

d)

y = -3x - 10

3.

24 - 3y = 6x

a)

y = -2x - 8

b)

y = 2x + 8

c)

y = -2x + 8

d)

y = 2x - 8

4.

12x = 3y + 15

a)

y = 4x - 5

b)

y = -4x + 5

c)

y = -4x - 5

d)

y = 4x + 5

5.

8x - y = -8 + 6

a)

y = -8x + 2

b)

y = -8x - 2

c)

y = 8x - 2

d)

y = 8x + 2

6.

What is a Literal Equation?

a)

An equation with more than one variable, and can be solved for a specific variable.

b)

An equation with only one variable, and can't be solved.

c)

An equation with only one variable, and can be solved.

d)

An equation that has no variables, only numbers and operations.

7.

Solve the equation.

 2x + 8 = 242x\ +\ 8\ =\ 24  
Is it a literal equation or algebraic equation?

a)

 x=8x=8  Literal Equation

b)

 x=8x=8  Algebraic Equation

c)

 x=16x=16  Literal Equation

d)

 x=8x=-8  Algebraic Equation

8.

Solve the equation

 2x + w = 162x\ +\ w\ =\ 16  for x. 

a)

 x = 8  w2x\ =\ 8\ -\ \frac{w}{2}  

b)

 w = 16  x2w\ =\ 16\ -\ \frac{x}{2}  

c)

 x = 16  2wx\ =\ 16\ -\ 2w  

d)

 x = 2w +16x\ =\ 2w\ +16  

9.

Solve the equation

 cb  20= 10cb\ -\ 20=\ -10  for b. 

a)

 b = 10cb\ =\ \frac{10}{c}  

b)

 b=c10b=\frac{c}{10}  

c)

 b=30  cb=-30\ -\ c  

d)

 c = 10bc\ =\ \frac{10}{b}  

10.

Is the equation 33x+9=21w3-33x+9=21w-3  a literal equation? Explain. 

a)

Yes, it has more than one variable. 

b)

Yes, it has the same variables. 

c)

No, it has more than one variable. 

d)

No, it has the same variables. 

11.

Is the equation 6w+2=4w86w+2=4w-8  a literal equation? Explain. 

a)

Yes, it has more than one variable. 

b)

Yes, it has the same variables. 

c)

No, it has more than one variable. 

d)

No, it has the same variables. 

12.

In the equation x+6w=4x+6w=4  solve for x. 


a)

 x=46wx=4-6w  

b)

 x=64wx=6-4w  

c)

 x=24w23x=24w-\frac{2}{3}  

d)

 x=4+6wx=-4+6w  

13.

 v=lwh; for lv=lwh;\ for\ l  

a)

 l=vwhl=vwh  

b)

 l=vwhl=\frac{v}{wh}  

c)

 l=whvl=\frac{wh}{v}  

d)

 l=vwhl=\frac{vw}{h}  

14.

 ax5 = b; for aax-5\ =\ b;\ for\ a  

a)

 x(b+5)x\left(b+5\right)  

b)

 (b5)x\frac{\left(b-5\right)}{x}  

c)

 (b+5)x\frac{\left(b+5\right)}{x}  

d)

 x(b5)x\left(b-5\right)  

15.
Solve for y:
y + 2 = 3x
a)
y = 2x + 3
b)
y= 3x +2
c)
y= 3x -2
d)
y= 6x
16.
Solve for y:
3y -9 = 18x
a)
y = 6x - 3
b)
y = 2x - 3
c)
y = -6x + 3
d)
y = 6x + 3
17.
Solve for y.
-10x + 2y = 14
a)
y = 10x + 12
b)
y = 10x + 7
c)
y = 5x + 14
d)
y = 5x + 7
18.

 I=prt; for rI=prt;\ for\ r  

a)

 r=pItr=pIt  

b)

 r=Iptr=\frac{I}{pt}  

c)

 r=tpIr=\frac{t}{pI}  

d)

 r=pItr=\frac{p}{It}  

19.

 C=2πr; for πC=2\pi r;\ for\ \pi  

a)

 π=C2r\pi=\frac{C}{2r}  

b)

 π=2rC\pi=\frac{2r}{C}  

c)

 π=C2r\pi=C2r  

d)

 π=r2C\pi=\frac{r}{2C}  

20.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p