ALGEBRA Regents Review - OHS

Linear Equations

100

Solve the equation:

2x + 3 = 9

x=3

200

Solve the equation: 

-4x + 5 = -3x + 7

x=-2

300

Solve the equation:

4(y - 3) = 16

y=7

400

Solve the equation: 

2(3x - 4) = 10 + 4x

x=9

500

Solve the equation:

8 - 2(3x + 2) = 10 + 2(x -4)

x=.25

Systems of Equations

100

Solve the system of equations: 

2x + y = 10

3x - y = 5

(3, 4)

200

Determine the solution to the system of equations

y = 2x + 1

y = - x + 4

(1,3)

300

Solve the system of equations: 

6x - 2y = 8

2x - y = 3

(1,-1)

400

Solve the system of equations using substitution method: 

y = 5 - 2x 

x + 3y = 20  

(-1,7)

500

Solve the system of equations using elimination method:  

3x + y = 1
2x - 3y = -25

(-2,7)

Quadratic Functions

100

What are the solutions of the quadratic equation x² - 5x + 6 = 0?

x=2 and x=3

200

Find all roots: 

 x² + 7x + 10

x= -5 x = -2

300

Find the vertex:   

y = -x² + 8x + 2

(4,18)

400

Find the vertex:  

y = x² - 4x + 3

(2,-1)

500

Find the axis of symmetry:   

y = x² - 6x + 1

x=3

Polynomials

100

Simplify the expression: 

2x + 3x - 6x

-1x

200

Find the degree of the polynomial: 

2x² - 3x⁴ - 6

4

300

Factor:  

x² + 5x + 6

(x+2)(x+3)

400

Multiply: 

(x + 2)(x - 3)

x² - x - 6

500

Factor completely:  

2x² - 18

2(x+3)(x-3)

Functions

100

Determine if the relation is a function: 

(1, 3), (2, 4), (1, 4), (3, 6)

Not a function

200

Evaluate the function   

f(x) = -2x - 1  for x = 3

-7

300

Evaluate the function 

f(x) = -3x² + 4x - 6   for  x = -2

-26

400

What is the slope of the line passing through the points (2, 4) and (6, 10)?

1.5

500

What is the slope of the line passing through the points (-2, -6) and (-6, 26)?

-8