TEST #2 REVIEW

Factoring Polynomials Factoring out GCF and by Grouping

100

Factor: 15p²q⁴+20p³q⁵+5p³q³ Time:1 minute

What is 5p²q³(3q+4pq²+p)

200

Factor: 15x²+18x-25x-30 Time: 2 minutes

What is (3x-5)(5x+6)?

300

Factor: 2x²+11x-6 Time: 2 minutes

What is (2x-1)(x+6)?

400

Factor 18x²-60x+50 Time: 3 minutes

What is 2(3x-5)²?

500

Factor 2x²-23xy-39y² Time: 3 minutes

What is (2x+3y)(x-13y)?

Factoring Polynomials Squares and Cubes

100

Factor: 4x²-9 Time: 1 minute

What is (2x-3)(2x+3)?

200

Factor: 16x²+y² Time: 1 minute

What is a prime polynomial?

300

Factor: 8x³+27 Time: 2 minutes

What is (2x+3)(4x²-6x+9)?

400

Factor: 54-2x³y³ Time: 3 minutes

What is 2(3-xy)(9+3xy+x²y²)?

500

Factor: 16x⁴-1 Time: 3 minutes

What is (4x²+1)(2x+1)(2x-1)?

Solving Quadratics

100

Solve for x: (x+6)(x-2)=0 Time: 1 minute

What is x=-6 or 2?

200

Solve for x: 3x(x+1)(7x-2)=0 Time: 1 minute

What is x=0,-1 or 2/7

300

Solve for x: (y-5)(y-2)=28 Time: 1 minute

What is y=-2 or 9?

400

Solve for x: 5x³+20x²+20x=0 Time: 3 minutes

What is x=0 or -2?

500

Solve for x: 20x²-7x-6=0 Time: 3 minutes

What is x= -2/5 or 3/4?

Word Problems and Rational Expressions

100

A little girl throws a bag of KitKat and Twix bars upward and out of a hot air balloon at a height of 300 feet. The height of the bag of candies at time x (in seconds) is given by the equation y = –16x² + 20x + 300. How long will it be before you (waiting on the ground) can start to eat those delicious chocolates? Time: 5 minutes

What is 5 seconds?

200

An IPhone is dropped from the top of the 625-foot tall Gillette Stadium. The height h of the IPhone after t seconds is given by the equation h=-16t^2+625. How much time (in seconds) does the phone's owner have to run down to the ground level in order to catch the phone just before it hits the ground? Will the owner have time to buy a hot dog on the way to catch the phone? Time:5 minutes

What is 25/4 = 6.25 seconds?

300

Simplify this rational expression: (x²-25)/(x²+13+40) Time: 2 minutes

What is (x-5)/(x+8)?

400

Simplify this rational expression: x³+8/(2+x) Time: 2 minutes

What is x²-2x+4

500

Simplify this rational expression: (18-2x²)/(x²-2x-3) Time: 3 minutes

What is -2(3+x)/(x+1)?

Domains of Rational Expressions and Multiply/Divide Rational Expressions

100

Find the domains of the following rational expressions: Please use set notation for your answer. 1. (3x+5)/(x+2) 2. (5x-1)/(3x-2)(x+4) 3. (2x²+5x+2)/(x²+2x-3) Time: 2 minutes

What is 1. {x/x is a real number and x ≠-2}? 2. {x/x is a real number and x ≠ 2/3 and -4}? 3. {x/x is a real number and x ≠1 and -3} ?

200

Find the product and simplify: See problem on the board. Time: 3 minutes

What is (x-3)/(x(2x-3))?

300

List four equivalent forms for the rational expression: See problem on board. Time: 2 minutes

What is (see answer on the board)?

400

Find the quotient and simplify: See problem on the board. Time: 3 minutes

What is 9yz²/5x ?

500

THIS IS A DOUBLE POINT QUESTION!!!!! Find the quotient and simplify: See problem on the board. Time: 3 minutes

What is 1?