Free Printable TRANSPOSITION OF SCIENCE EQUATIONS

1.

Given $a=b+c$ , solve for $b$ .

a)

$b=c-a$

b)

$b=a+c$

c)

$b=a-c$

2.

Given $a-b=c$ , solve for $b$ .

a)

$b=c-a$

b)

$b=a-c$

c)

$b=a+c$

3.

Given $m-n=p$ , solve for $m$ .

a)

$m=\frac{p}{n}$

b)

$m=p-n$

c)

$m=p+n$

4.

Given $2m+n=r$ , solve for $m$ .

a)

$m=\frac{r-n}{2}$

b)

$m=r-n-2$

c)

$m=\frac{r}{2}-n$

5.

Given $n=2rt$ , solve for $r$ .

a)

$r=n-2t$

b)

$r=\frac{n}{2t}$

c)

$r=\frac{2n}{t}$

6.

Given $pq=rsT$ , solve for $q$ .

a)

$q=\frac{rsT}{p}$

b)

$q=rsT-p$

c)

$q=\frac{p}{rsT}$

7.

Make x the subject of the formula:

a)

x = y - a

b)

$x\ =\ \frac{y}{a}$

c)

$x\ =\ \frac{a}{y}$

d)

x = ay

8.

Make t the subject of $\frac{t}{2t-s}=3s\$ . Hint:

(a)

9.

Given $a=b+c^2d$ , solve for $c$ .

a)

$c=\pm\sqrt{a-b-d}$

b)

$c=\pm\sqrt{\frac{b-a}{d}}$

c)

$c=\pm\sqrt{\frac{a-b}{d}}$

10.

Given $a^2b=2c-d$ , solve for $a$ .

a)

$a=\pm\sqrt{2c-d-b}$

b)

$a=\pm\sqrt{\frac{2c-d}{b}}$

c)

$a=\pm\sqrt{2bc-bd}$

11.

Which operation will cancel out multiplication?

a)

A. Addition

b)

B. Subtraction

c)

C. Multiplication

d)

D. Division

12.

What is the first step (after setting up your workspace) to complete when solving this equation?
10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

13.

$Which\ variable\ is\ the\ subject\ of\ the\ formula\ \frac{a^2}{p}+q=r.$

a)

$a^2$

b)

p

c)

q

d)

r

14.

$Which\ variable\ is\ the\ subject\ of\ the\ formula\ \frac{a^2}{p}+q=r.$

a)

$a^2$

b)

p

c)

q

d)

r

15.

A literal equation can sometimes contain number values.

a)

True

b)

False

16.

Shifting one term from one side of an equation to another side with a change of sign is known as

( Your answer must

be in small letters only)

(a)

17.

What is the opposite function to addition?

a)

multiplication

b)

subtraction

c)

substitution

d)

division

18.

What is the opposite function of division?

a)

Addition

b)

subtraction

c)

multiplication

d)

dividend

19.

Given $pq=rsT$ , solve for $q$ .

a)

$q=\frac{rsT}{p}$

b)

$q=rsT-p$

c)

$q=\frac{p}{rsT}$

20.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

21.

IR = V
(solve for R)

a)

R = IV

b)

R = ^I/_V

c)

R = ^V/_I

d)

R = V - I

22.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

23.

Which expression represents the value of x in the equation:
dx + e = f

a)

x = (f + e)/d

b)

x = (f - e)/d

c)

x = d/(e - f)

d)

x = d/(e + f)

24.

a)

T = PV/K

b)

T = PK/V

c)

T=KV/P

d)

Greenland

25.

Transpose for y. $x=\frac{y}{z}$

a)

$y=\frac{x}{z}$

b)

$y=xz$

c)

$y=\frac{z}{x}$

d)

$\frac{1}{y}=\frac{z}{x}$

26.

Transpose for z. $x=\frac{y}{z}$

a)

$z=\frac{x}{y}$

b)

$z=xy$

c)

$z=\frac{y}{x}$

d)

$\frac{1}{z}=\frac{y}{x}$

27.

Transpose for x. $x+y=17$

a)

$x=-y+17$

b)

$x=17+y$

c)

$x=-y-17$

d)

$x=y+17$

28.

Transpose for x. $x-2y=7$

a)

$x=7-2y$

b)

$x=14y$

c)

$x=7+2y$

d)

$x=\frac{7-y}{-2}$

29.

Transpose for y. $x-2y=7$

a)

$y=7-2x$

b)

$y=14x$

c)

$y=7+2x$

d)

$y=\frac{-x+7}{-2}$

30.

Transpose for y. $2x+y^2=30$

a)

$y=\sqrt{-2x+30}$

b)

$y=\frac{-2x+30}{x}$

c)

$y=\sqrt{-x+\frac{30}{2}}$

d)

$y=\sqrt{\frac{-x+30}{2}}$

31.

$a\ =\ \frac{v^2}{r}$

Solve for the formula of: r

a)

$r\ =\ \frac{v^2}{a}$

b)

$r\ =\ \frac{a}{v^2}$

c)

$r\ =\ \sqrt{\frac{a}{v2}}$

d)

none of the above

32.

$d\ =\ \frac{1}{2\ }at^2$

Solve for the formula of: a

a)

$a\ =\ \frac{2d}{t^2}$

b)

$a\ =\ 2dt^2$

c)

$a\ =\ 2d\ -\ t^2$

d)

none of the above

33.

$PE\ =\ mgh$

Solve for the formula of: h

a)

$h\ =\ PE\ +\ mg$

b)

$h\ =\ \frac{PE}{mg}$

c)

$h\ =\ \frac{mg}{PE}$

d)

$h\ =\ PE\ -\ mg$

34.

$v_f=\ v_{i\ }+\ at$

Solve for the formula: a

a)

$a\ =\ \frac{t}{\left(v_{f\ }-\ v_i\right)}$

b)

$a=\frac{vf}{v_{i\ }}-t$

c)

$a=\ \frac{\left(v_{f\ }-v_i\right)}{t}$

d)

none of the above

35.

Solve for r

a\ =\ \frac{v^2}{r}

a)

$r\ =\ \frac{a}{v^2}$

b)

$r\ =\ v^2r$

c)

$r\ =\ \frac{v^2}{a}$

d)

$r\ =\ a\ -\ v^2$

36.

Solve the formula for: t

d\ =\ \frac{1}{2\ }at^2

a)

$t\ =\ \sqrt{\frac{2d}{a}}$

b)

$t=\ 2d^2\ -\ a$

c)

$t\ =\ \sqrt{\frac{a}{2d}}$

d)

$t\ =\ \sqrt{2da}$

37.

$P\ =\ I^2R$

Solve for the formula of: I

a)

$I\ =\ \frac{P}{R^2}$

b)

$I\ =\ \sqrt{\frac{R}{P}}$

c)

$I\ =\ \sqrt{\frac{P}{R}}$

d)

None of the above

38.

$PE\ =\ mgh$

Solve for the formula of: h

a)

$h\ =\ PE\ +\ mg$

b)

$h\ =\ \frac{PE}{mg}$

c)

$h\ =\ \frac{mg}{PE}$

d)

$h\ =\ PE\ -\ mg$

39.

$V\ =\ \frac{1}{2\ }\pi r^2h$

Solve for the formula of: r

a)

$r\ =\ \sqrt{\frac{\pi h}{2v^{ }}}$

b)

$r\ =\ \sqrt{2v\pi h}$

c)

$r\ =\ \sqrt{\frac{2v}{\pi h}}$

d)

None of the above

40.

$d\ =\ vt\ +\ \frac{1}{2\ }at^2$

Solve for the formula of: a

a)

$a\ =\ \frac{\left(d-\frac{1}{2\ }vt^2\right)}{t}$

b)

$a\ =\ \frac{2\left(d-vt\right)}{t^2}$

c)

$a\ =\ \frac{\left(d\ -\ vt\right)}{2\ }t^2$

d)

none of the above

41.

$d\ =\ vt\ +\ \frac{1}{2\ }at^2$

Solve for the formula of: a

a)

$a\ =\ \frac{\left(d-\frac{1}{2\ }vt^2\right)}{t}$

b)

$a\ =\ \frac{2\left(d-vt\right)}{t^2}$

c)

$a\ =\ \frac{\left(d\ -\ vt\right)}{2\ }t^2$

d)

none of the above

42.

2. Rearrange the above equation

a)

b)

c)

43.

1. Rearrange the above equation

a)

b)

c)

44.

3. Rearrange the above equation

a)

b)

c)

45.

5. Rearrange the above equation

a)

b)

c)

46.

6. Rearrange the above equation

a)

b)

c)

47.

11. Rearrange the above equation

a)

b)

c)

d)

48.

12. Rearrange the equation $\frac{Np}{Ns}=\frac{Vp}{Vs}$ for $N_s$ .

a)

b)

c)

d)

49.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

50.

Solve $C=2\pi r$ for $r$ .

a)

$r=\frac{C}{2\pi}$

b)

$r=2\pi C$

c)

$r=C+2\pi$

d)

$r=C-2\pi$

TRANSPOSITION OF SCIENCE EQUATIONS

Total questions: 50

Worksheet time: 52mins

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