Algebraic Fractions

Algebra So Far...

Changing the subject

Algebraic Fractions

Multiple Choice

 $ax+r\ =\ 7\ \ Solve\ for\ r.$  

•  $r=\frac{7}{ax}$  

•  $r=7-ax$  

•  $r=7+ax$  

•  $r=7ax$  

Multiple Choice

Make w the subject of the formula

 $y=3w-a$  

•  $w=\frac{y}{3}+a$  

•  $w=y+\frac{a}{3}$  

•  $w=\frac{y+a}{3}$  

•  $w=\frac{y-a}{3}$  

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 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

• 4/x
• x/4
• 1/4x
• 4x

Multiple Choice

2n⁴ /6n⁴

• 1/3n
• 3
• 3n
• 1/3

Multiple Choice

Simplify:

• 4(x+5)/3(x+5)
• 4/3
• 3/4
• x+5

Multiple Choice

Simplify:

• x(x-5)/(x+5)(x-5)
• x/(x-5)
• x/(x+5)
• (x+5)/x

Multiple Choice

• 6/5x

• 6/5

• (x+3)/(x+2)

• (x+3)/(x-4)

Multiple Choice

Simplify:

• 4(x-3)/(x-7)
• 4(x+3)/(x+7)
• 4(x+3)(x-7)
• 4(x-3)/(x+7)

Multiple Choice

Multiply and simplify

(the dot means 'multiply')

• y⁶/12

• 3y⁶/12

• y⁵/12

• 4y⁵/12

Multiple Choice

• 18c/15b
• c/b
• 9c/10b
• 12c/15b

Multiple Choice

 $\frac{16x^2-4}{\left(3x^2\right)\left(2yz\right)}\div\frac{4\left(2x+1\right)^2}{9xz}$  

•  $\frac{3\left(2x-1\right)}{2xy\left(2x+1\right)}$  

•  $\frac{3\left(4x-2\right)\left(4x+2\right)}{2xy\left(2x+1\right)^2}$  

•  $\frac{\left(2x-1\right)}{2xy\left(2x+1\right)}$  

• none of the above