Algebra I EOC Review #1

Quadratics

100

Find the solutions to the following quadratic equation:

(x-5)(x+9)=0

x = 5 and x = -9

200

Find the roots to the quadratic equation:

2x²=200

x = 10 and x = -10

300

b²-4ac

What is the discriminant?

400

Find the solutions to the following quadratic:

2x² − 3x − 5 = 0

x = 5/2

x = -1

500

A water balloon is catapulted into the air so that its height h, in meters, after t seconds is

 h = -4.9t² + 24.5t + 1.  What is the maximum height of the balloon?  Round to the nearest tenth.

h = 31.6 meters

Functions

100

Algebra: What type of function is this?

y-5=3(x+4) 

Linear

200

Algebra: solve for m. Y= mx +b

Algebra: m=

(y-b)/x

300

Algebra: Solve for a: abc + 2h=0

Algebra: a = -2h/bc

400

Simplify: What is f(-5)?

f(x) = 2x^2-3x+6

71

500

Algebra: What's the domain of a quadratic function? 

All Real Numbers

vocabulary

100

Equivalent

A) same as

B) Equal to

C) both are correct

C - both are correct

200

a horizontal line that shows what an exponential function is approaching but never touches

a) Maximum of parabola

B) x - intercept

C) horizontal asymptope

C

300

2(x+1) = 2x + 2 

This is 

A) Distributive property

B) Order of operations

A

400

What does it mean to have no real solutions? 

parallel lines, 3=4

500

Roots of a parabola are the same as

A) B and C

B) X intercept

C) Zeros

A

Systems of Equations and Inequalities

100

Julia traveled to Argentina and Chile for a total of 16 days.  In Argentina, she learned 125 new words per day.  In Chile, she learned 140 new words per day.  She learned a total of 2145 words.  Write a system of equations using x for Argentina and y for Chile.

x + y = 16

125x + 140y = 2145

200

Solve the following system of equations:

6x − 12y = 24 

−x − 6y = 4

(2, -1)

300

Is (7, -1) and answer for the following system?

x + 7y >= 0

2x - 8y >22

No

400

Solve the following system of equations:

−8x − 10y = 24 

6x + 5y = 2

(7, -8)

500

If two lines overlap, then the solution to the system is:

a.  One solution

b.  Infinitely Many Solutions

c. No solution

B

Exponents/Square Root

100

D

200

Simplify (x⁵)²

x¹⁰

300

 

D

400

J

500

What is the correct factor of 25x²-64?

A(5x+8)(5x-8)

B (5x-8)(5x-8)

A (5x+8)(5x-8)

Random

100

What is the slope of the two points? (4,-5)(7,2)

7/3

200

Solve for v. 

D=m/v

v = m/D

300

List 3 things you need to do to be successful tomorrow.

Differing answers.

400

Is this a quadratic, linear, or exponential function? 

2(x-3)(x+5)=0

quadratic

500

Draw an example of each of the 3 types of functions and label them. 

see answers