Algebra I ECA – Quarter Four Review
Show your work for all problems. “MC” indicates a multiple choice item.
1) Graph the function f(x) = x2 – 4x – 5 using a T-table.
x / f(x)2) (MC) For what value or values of x is y = 0?
3) Find the zeros of the function f(x) = x2 – 11x + 10.
4) Solve: 16 = - x2 + 11x.
5) Solve for x: 4x2 = 64 6) Solve by factoring: 5x2 – 9x – 2 = 0
7) Solve by factoring: x2 + 8x + 16 = 0
8) What is the discriminant of 3x2 + 7x – 9 = 0 ? 9) Simplify .
10) Simplify –
11) A rocket is launched from an 18-foot cliff with an initial velocity of 80 feet per second. The height
above the ground of the rocket t seconds after launch is given by the equation h = -16t2 + 80t + 18.
How long after the rocket is launched will it hit the ground?
( Round your answer to the nearest tenth of a second.)
12) (MC) Josh hit a baseball straight up into the air. The following equation describes the height of the ball (h), in meters, as a function of time (t) in seconds: h(t) = - 9.8t2 + 30t + 1. What is the height of the ball after 3 seconds?
a) 3.3 meters b) 62.1 meters c) 120.9 meters d) 179.7 meters
13) (MC) What are the solutions for the quadratic equation x2 + 6x = 16?
a) -2, -8 b) -2, 8 c) 2, -8 d) 2, 8
14) (MC) Leanne correctly solved the equation x2 + 4x = 6 by completing the square.
Which equation is part of her solution?
a) (x + 2)2 = 8 b) (x + 2)2 = 10 c) (x + 4)2 = 10 d) (x + 4)2 = 22
15) What are the zeros of the function graphed below? 16) Find the zero(s) of the function:
y = x2 - 2x + 1.
17) (MC) Solve for x: 18) Solve for x:
a) 3, -4 b) -4 c) 3 d) no solution
19) (MC) What is reduced to lowest terms?
a) b) c) d)
20) Simplify:
21) (MC) Solve:
a) b) c) 3 d)
22) Solve: