MAT1033 Exam 3

Radical Expressions

100

sqrt(25x⁶y⁸z²), simplified

What is 5x³y⁴z?

300

sqrt(800)-2sqrt(128)

What is 4sqrt(2)?

500

(sqrt(x)+2)(3-sqrt(x)), simplified

What is sqrt(x)-x+6?

Radical Equations

100

The solution to sqrt(2x+3)+1=4

What is x=3?

300

The solution to 4(x-5)^1/3+2=10

What is x=13?

500

The solution to sqrt(2x-1)-4=-sqrt(x-4)

What is x=5?

Complex Numbers

100

i⁸⁷, simplified

What is -i?

300

(i-2)², simplified

What is 3-4i?

500

^-26/_2i-3, simplified

What is 6+4i?

Quadratic Equations

100

The solution(s) to (x-1)²+4=13

What are x=4, x=-2?

300

The solution(s) to x²-2x+9=0

What are x=1+-2sqrt(2)i?

500

The solutions to 4x²+12x+4=0

What are x= ^{(-3+-sqrt(5))}/₂?

Potpourri

100

The number of real solutions to x²+x+1=0

What is none?

300

The square root of the cube root of the fourth root of x is equivalent to what single root of x?

What is the 24th root?

500

The product of (-27x)^2/3 and (16x)^3/4, simplified using only rational exponents

What is 72x^17/12?