Algebra 1 EOC Review

Systems of Equations

100

-5y + 8x = -18

5y + 2x = 58

(4, 10)

200

3x−4y=8

18x−5y=10

(0, -2)

300

3y - 5x +10= -16

-2y - 5x +16= 0

(4, -2)

400

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Child Ticket: $14

Senior Ticket: $8

500

You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?

Taco: $1.25

Burrito: $2.50

Polynomials

100

(x² +3x + 5) + ( -x² +6x)

9x + 5

200

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

300

(x - 8)(2x + 3)

2x² - 13x - 24

400

(2y²-3y+6)(3y)

6y³-9y²+18y

500

(2x - 3)(x² -2x + 4)

2x³ - 7x² + 14x - 12

Exponential Functions

100

Is the following growth or decay: 

The population of an ant colony increases at a rate of 44% per week.

Growth

200

Is the following growth or decay:

f(x)=100(0.5)^x

Decay

300

Amara invests $1,200, which goes up at a rate of 1.2 every year. 

Write an exponential equation representing the situation.

f(x)=1,200(1.2)^x

400

Mr. Miller decides he wants to grow a beard. His starts measuring when his beard is 2 cm long. Every week, it grows by 5%.

Write an exponential equation representing the situation.

y=2(1.05)^x

500

The fish in Lake Washington were declining at an annual rate at 1.5%. Their current number is estimated at 2500.

Write an exponential equation representing the situation.

y = 2500(.985)x

Solving Quadratics

100

a² + 14a - 51 = 0

{3, -17}

200

x² − 12x + 11 = 0

{11, 1}

300

n² = 18n + 40

{20, −2}

400

7r² + 84 = -49r

-4, -3

500

9n² + 39n = -36

-4/3, -3

Linear, Exponential, or Quadratic?

100

Does this represent a Linear, Exponential, or Quadratic equation?

y = 5x² - 4x + 2

Quadratic

200

What type of function that has a constant slope?

Linear

300

Sketch the basic shapes of 3 functions: a linear function, an exponential function, and a quadratic function

/   ◟  U

400

Linear, quadratic, or exponential: 

It costs 40 dollars to join a gym and an additional $10 per month.

Linear

500

This is the model that best describes the following information. {(-1,-54), (0,-18), (1,-6), (2,-2), (3,-2/3)}

What is exponential?