Math 2 Final Exam Review

What is the smallest value of x in the system of equations below?

$$y=x^2+2x+5$$  and $$y=2x+7$$  

Which expression is equivalent to $$4x\left(x+4\right)-\left(x^2-5\right)$$  ?

What is the product of  $2x$ and  $3x^2-4x-1$ ?

A store sells jars of peanut butter and gallons of orange juice. Marquez buys 3 jars of PB and 2 gallons of OJ for $11.52. Jillian buys 4 jars of PB and 1 gallon of OJ for $9.60. How much does 2 jars of PB cost?

Is (4, -2) a solution to the system below?

$$2x-3y<4$$  and $$-x-5y\ge2$$  

Which is not a solution to the system of inequalities?

$$x+5y\le3$$  and $$x+y>5$$  

What is a solution set of the equation $$3x^2+5x-2=0$$  ?

You shoot a bottle rocket off the ground using this equation $$h\left(t\right)=-16t^2+256t+81$$  . How long does it take the rocket to reach the ground?

Using the equation $$h\left(t\right)=-16t^2+256t+81$$  , how many seconds have passed when the bottle rocket is 1000 feet in the air?

Which describes the graph $$y=\frac{1}{3}\left(x+2\right)^2-4$$  ?