Algebra I, Part 1&2 Final Exam Review

Solving Equations and Inequalities

100

0.5g + 5 = 18

What is g = 26

200

-3w + 8 > 2

What is w < 2

300

4x+3<=3x+6

What is 

x<=3

400

0.11k + 1.5 = 2.49

What is k = 9

500

x^2+4x-30>2

What is 

x<-8 or x>4

Polynomials

100

Simplify: 

(3x^3-4x^2+x)+(2x^2-8x)

What is 

3x^3-2x^2-7x

200

(9y^2+11y-4)-(2y^2-15y+2)

What is 

7y^2+26y-6

300

Multiply: (3x-8)(4x+2)

What is 

12x^2-24x-16

400

Factor: 

x^2+2x-48

What is (x+8)(x-6)

500

3n^2-31n+36

What is (3n-4)(n-9)

Linear Functions

100

Find the slope of the line between (-6, 1) and (4, 8)

What is 7/10

200

Find the slope and y intercept of 11 + 2y = 8x

What is m = 4 and b = -5.5

300

Write the intercepts and sketch a graph of 6x - 9y = 72

What is x = 12 y = -8

400

Name the slope and y-intercept: y + 3 = 2(x - 1)

What is m = 2 b = -5

500

Write an equation of a line in slope intercept form that is perpendicular to y -2 = 1/2(x - 8) and passes through (1, -6)

What is y = -2x - 4

Systems of Equations and Inequalities

100

Is (5, 13) a solution to y - 2x = 3 3x - 2y = 5

What is no

200

Solve the system

2x + 2y = 38

y = x + 3

What is (8, 11)

300

Solve the system

6x + 5y = 39

3x + 5y = 27

What is (4, 3)

400

Solve the system:

5x - 9y = -43

3x + 8y = 68

What is (4, 7)

500

Graph

y>=x+1

y<=x^2-8x+15

https://www.desmos.com/calculator/4pimgdd9sx

Quadratic Equations

100

Solve: 

8n^2+5=221

What is 

+-3sqrt3

200

Solve for g.

g^2+4g-32=0

What is g = -8 or 4

300

Solve for n

24n^2-21n=18

What is n = 

-3/4 or 6

400

Solve for w.

3w^2+24w-21=27

What is 

w=-4+-4sqrt2

500

A batter hits a ball and the equation below models its path, where x represents the horizontal distance in feet and y is the height in feet. How far from the batter will the ball land?

y=-0.005x^2+0.7x+3.5

What is 144.8ft