Accuplacer Advanced Algebra

Simplify fully: 
√32 + 5√32

• 6√32
• 24√8
• 24√2
• 6√8

Rationalise the Denominator:
³/_√5

• ^3√5/₅
• ^3√5/₂₅
• ^√5/₅
• ^√5/3

Simplify fully: 
2√45 - 5√45 + 9√16

• -9√5 + 36
• -3√45 + 144
• 6√16
• 6√106

Which one would you multiply by to rationalise this denominator:
^√5 /_{(√2 - 1)}

• (√2 - 1)
• √2
• √2 + 1
• √5

Solve the simultaneous equations (there are two separate solutions):
y = x² + 7x - 2
y = 2x - 6

• x = 4, y = 2; x = 3, y = 5
• x = -4, y = 2; x = -1, y = -8
• x = -2, y = -10; x = 3, y = 0
• x = 1, y = -4; x = 0; y = -6

Simplify fully: 
√32

• 4√8
• 16√2
• 4√2
• 4√4

Simplify as far as possible

• 6/5x
• (x-4)/(x-2)
• (x+3)/(x+2)
• (x+3)/(x-4)

Simplify as far as possible

• 4/x
• x/4
• 1/4x
• 4x

Simplify as far as possible

• A.4x³/(x+2)
• B.4x³/(x+10)
• C.2x³/(5x+1)
• D. 2x³/(x+5)

• A
• B
• C
• D