Algebra EOC Final Exam Review

Unit 6 - Polynomials

100

Find the difference: (4x²-3x+5) - (-x+3x²-8)

 

x² -2x+13

200

Fully simplify the following polynomial expression: 2(3x-2)(-4x+7)

-24x²+58x-28

300

Factor the following polynomial: x²-2x = 35

(x+5)(x-7)

400

Factor the following polynomial: 36x²-121

(6x+11)(6x-11)

500

Factor the following polynomial: -14x+2x³+35-5x²

(x²-7)(2x-5)

Unit 7 - Graphing Quadratics

100

3x⁴-12x+2 -- How many solutions can this polynomial have?

Up to 4 real solutions

200

Draw the end behavior for the following polynomial: -4x⁵-2x⁴+10x²-12x+20

Up, Down

300

List the transformations of the following quadratic (in order): y = -3(x+5)²-7

Reflection over the x-axis

Vertical stretch of 3

Left 5

Down 7

400

Write the vertex of the following quadratic: -3x²-6x+1=0

(-1,4)

500

Convert the following quadratic into vertex form by completing the square: x²-14x-6 = 0

(x-7)²-55 = 0

Unit 8 - Solving Quadratics

100

Simplify the following: -5√108 

-30√ 3

200

Solve the following quadratic equation by completing the square: x² - 6x + 5= 0

x = 1, x = 5

300

Solve the following quadratic by factoring: x²+12x+20=0

x = -2, x = -10

400

Solve the following quadratic using the quadratic formula: -x²+7x-10 = 0

x = 2, x = 5

500

A ball is launched at an initial velocity of 48 feet per second from a platform that is 64 feet high. (Remember that the vertical motion formula is h = -16t²+vt+s). At what time will the ball hit the ground?

4 seconds

Unit 9 - Exponentials

100

What kind of equation (linear, quadratic, exponential growth/decay) is shown below?

y=3(1/2)^x

Exponential Decay

200

Simplify the following expression: (-sd³)⁶

s⁶d¹⁸

300

Given y = 1/6 (3)^x, calculate the value of y when x = -2

y = 1/54

400

Write the equation for the nth term of the following geometric sequence: 100, 25, 12.5, 3.125, 0.78125...

y = 400(1/4)ⁿ

500

Mr. Davis is still sick of your cell phones. Once again, he allows Manny to bash 10% of the phones into an unusable pile of trash each day. If all 27 students have cell phones at the start of this revolution, how many phones will remain after after 6 days of bashing? Round to the nearest whole phone.

14 cell phones

Teacher Trivia

100

This math teacher has been at Tuscola for 38 years

Mr. Pressley

200

This teacher teaches Ag Ed

Mr. Holt

300

This teacher is our head football coach

Coach Brookshire

400

This is our Principal

Mrs Blackmon

500

This is the coolest teacher at Tuscola

Mr. Burdette