Transposition in mathematics 1

1​

1. USE OPPOSITE OPERATIONS​

2. WHAT YOU DO ON ONE SIDE DO TO THE OTHER

3. THE SUBJECT WANTS TO BE ALONE​

4. REMOVE THE FARTHEST ONES FIRST​

TRANSPOSTION

Multiple Choice

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

• $$b=c-a$$  

• $$b=a+c$$  

• undefined 

Multiple Choice

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

• $$b=c-a$$  

• $$b=a+c$$  

• undefined 

Multiple Choice

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

• $$m=\frac{p}{n}$$  

• $$m=p-n$$  

• $$m=p+n$$  

Multiple Choice

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

• $$m=\frac{r-n}{2}$$  

• $$m=r-n-2$$  

• $$m=\frac{r}{2}-n$$  

Multiple Choice

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

• $$r=n-2t$$  

• $$r=\frac{n}{2t}$$  

• $$r=\frac{2n}{t}$$  

Multiple Choice

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

• $$q=\frac{rsT}{p}$$  

• $$q=rsT-p$$  

• $$q=\frac{p}{rsT}$$  

Multiple Choice

Make x the subject of the formula:

• x = y - a

• $$x\ =\ \frac{y}{a}$$

• $$x\ =\ \frac{a}{y}$$

• x = ay

Multiple Choice

Solve 3 - 7x = 5

• X = 5 - 7

• X = 7x - 5

• X= $$\frac{4}{8}$$

• X = $$-\frac{2}{7}$$

Multiple Choice

Solve 3 + x = 5

• X = 4

• X = 3

• X = 2

• X = 1

Multiple Choice

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

• $$a^2$$  

• p

• q

• r

Multiple Choice

$$ax+r\ =\ 7\ \ Solve\ for\ r.$$  

• $$r=\frac{7}{ax}$$  

• $$r=7-ax$$  

• $$r=7+ax$$  

• $$r=7ax$$  

Multiple Choice

Which operation will cancel out multiplication?

• A.  Addition
• B. Subtraction
• C. Multiplication
• D. Division

Multiple Choice

Translate: 
Four times a number plus six is 30.

• 4 + 6 = 30
• 4x + 6 = 30
• x + 4 times 6 = 30
• 30 = 4x

Multiple Choice

• w = 3(y + a)

• w = (y + a) ÷ 3

• w = y + a ÷ 3

Multiple Choice

• w = sa

• w = s/a

• w = a/s

Multiple Choice

• t = (v – u) ÷ 10

• t = (u – v) ÷ 10

• t = v – u ÷ 10

Multiple Choice

• x = (P/2) ÷ 6

• x = (P + 2) ÷ 6

• x = (P – 2) ÷ 6

Multiple Choice

• g = $$\sqrt[]{a}$$  

• g = $$a^2$$   

• g = 2a

Multiple Choice

• y = k – a

• y = k² – a²

• y = $$\sqrt[]{k\ -\ a}$$  

Multiple Choice

• b = $$a^2$$  - $$b^2$$  

• b = a - c

Multiple Choice

Make x the subject of the formula:

• $$x\ =\ \sqrt{y-a}$$
  

• $$x\ =\ \sqrt{y}-a$$
  

• $$x\ =\ \sqrt{y+a}$$
  

• $$x\ =\ \sqrt{y}+a$$
  

Multiple Choice

Make x the subject of the formula:

• $$x\ =\ \sqrt{y}-a$$

• $$x\ =\ y^2-a$$

• $$x\ =\ \left(y-a\right)^2$$

• $$x\ =\ \sqrt{y-a}$$

Multiple Choice

Make x the subject of the formula:

• $$x\ =\ y+a^2$$

• $$x\ =\ y-a^2$$

• $$x\ =\ a^2-y$$

• $$x\ =\ \sqrt{y-a}$$

Multiple Choice

Make x the subject of the formula:

• $$x\ =\ 3ay$$

• $$x\ =\ ay+3$$

• $$x\ =\ 3a\ +\ y$$

Multiple Choice

Make x the subject of the formula:

• $$x\ =\ ay-3$$

• $$x\ =\ a\left(y-3\right)$$

• $$x\ =\ 3y-a$$

Multiple Choice

Make x the subject of the formula:

• $$x\ =\ ay-3$$

• $$x\ =\ a\left(y-3\right)$$

• $$x\ =\ 3y-a$$

• $$x\ =\ 3\left(y-a\right)$$

Multiple Choice

Make m the subject of the formula.

$$36m=x^2$$  

• $$m=\frac{x^2}{36}$$  

• $$m=x^2-36$$  

• $$m=36-x^2$$  

• $$m=\frac{36}{x^2}$$  

Multiple Choice

Make R the subject of the formula $$I=\frac{PRT}{100}$$  .

• $$R=\frac{100}{IPT}$$  

• $$R=\frac{100I}{PT}$$  

• $$R=\frac{IPT}{100}$$  

• $$R=\frac{PT}{100I}$$  

Multiple Choice

Make l the subject of the formula $$t=2\pi\sqrt{\frac{l}{g}}$$  .

• $$l=\frac{Tg}{4\pi^2}$$  

• $$l=\frac{T^2g}{4^2\pi}$$  

• $$l=\frac{T^2g}{4\pi^2}$$  

• $$l=\frac{T^2g}{4\pi}$$  

Multiple Choice

Make s the subject of the formula  $$t=\frac{-u+\sqrt{u^2+2gs}}{g}$$  .

• $$s=\frac{t\left(gt+2u\right)}{-2}$$  

• $$s=\frac{t\left(g+2u\right)}{2t}$$  

• $$s=\frac{t\left(gt+2u\right)}{2}$$  

• $$s=\frac{t\left(gt+2\right)}{2u}$$  

Multiple Choice

Make b the subject of the formula $$A=\frac{1}{2}\left(a+b\right)h$$  .

• $$b=\frac{h}{2A}-a$$  

• $$b=\frac{2A}{h}+a$$  

• $$b=\frac{2A}{h}-a$$  

• $$b=\frac{h}{2A}+a$$  

Multiple Choice

Make w the subject

• $$w=5g-gw$$

• $$w=\frac{g-1}{5g}$$

• $$w=gw-5g$$

• $$w=\frac{5g}{g-1}$$

Multiple Choice

Make s the subject of the formula  $$v^2=u^2+2fs$$  .

• $$s=\frac{v^2+u^2}{2f}$$  

• $$s=\frac{v^2-u^2}{2f}$$

• $$s=\frac{v^2}{u^2-2f}$$  

• $$s=\frac{u^2}{v_{ }^2+2f}$$  

2​

1. MORE THAN ONE SUBJECTS NEED TO BECOME ONE

   ​

2. USING FACTORIZING AND THE DISTRIBUTIVE LAW

TRANSPOSTION

Multiple Choice

Make p the subject of the formula $$d=\frac{p}{1+p}$$  .

• $$p=\frac{d}{1+d}$$  

• $$p=\frac{d}{1-d}$$  

• $$p=\frac{1+d}{d}$$  

• $$p=\frac{1-d}{d}$$  

Multiple Choice

• $$w=4g+\frac{1}{3}$$

• $$w=\frac{4g+9}{6}$$

• $$w=\frac{4g+3}{9}$$

• $$w=\frac{g+3}{9}$$

Multiple Choice

Make "a" the subject of $$14a\ +16w=ac+8w$$  

• $$a=\frac{ac+2w}{14}$$

• $$a=\frac{2w}{14-c}$$

• $$a=\frac{2w}{14+c}$$

• $$a=\frac{ac+14w}{14}$$

Multiple Choice

Make x the subject

• $$x=\frac{3+8y}{y-1}$$

• $$x=\frac{y-3}{y+8}$$

• $$x=xy-8y-3$$

• $$x=\frac{8y-3}{y+1}$$

Multiple Choice

Rearrange $$y+3\ =x\left(y+2\right)$$   to make "y" the subject of the formula

• $$y=\frac{2x-3}{1-x}$$

• $$y=xy+2x-3$$

• $$y=\frac{1-x}{2x-3}$$

• $$y=\frac{2x-3}{x+1}$$

Multiple Choice

make "m" the subject of the formula $$E=mgh+\frac{1}{4}mv^2$$  

• $$m=\frac{E}{gh}+\frac{1}{4}v^2$$

• $$m=\frac{gh+\frac{1}{4}v^2}{E}$$

• $$m=E\left(gh+\frac{1}{4}v^2\right)$$

• $$m=\frac{E}{gh+\frac{1}{4}v^2}$$