Algebra 1

Linear Equations

100

Write the slope-intercept form of the equation. 

3x−2y=−16

y= 3/2x +8 

200

Sketch the graph of the line. 

2x+5y = 5 

Y intercept at -1 and slope postive 2/5. 

300

The U.S. Bureau of the Census predicted that the population of Florida would be about 17.4 million in 2010 and then would increase by about 0.22 million per year until 2015. Write a linear model that can predict the population, y, of Florida (in millions) in terms of x, the number of years since 2010.

y = 0.22x + 17.4

400

In 1995, Orlando, Florida, was about 175,000. At that time, the population was growing at a rate of about 2000 per year. Write an equation, in slope-intercept form to find Orlando’s population for any year.

y= 2000x+175,000

500

Write the standard form of the equation of the line through the given points. 

 (-3, 2) and (0,-1)

y= -x - 1

Modeling Functions

100

Evaluate each function at the given value. 

f (x) =(1/3) (6)^x when x= 2

12

200

If the exponential function is y= (2)(8) ^x, what is the rate of change?

Rate of Change: 8 

300

A computer valued at 6500 depreciates at the rate of 14.3% per year. Write a function that models the value of the computer.

y= (6500)(1-.143)^x

400

Decide whether the word problem represents a linear or exponential function. Circle either linear or exponential. Then, write the function formula.

- There are 20,000 owls in the wild. Every decade, the number of owls is halved.

Exponential 

y= (20,000)(1/2)^x

500

A new truck depreciates at a rate of 12% each year. If the original price was 12,000, how much would the car be worth after 7 years. 

$11,851.59

Solving Equations

100

Solve for x. 

−20=−4x−6x

x= 2

200

Solve for m. 

4m−4=4m

No solution.

300

Solve for n. 

5n+34 = −2(1−7n)

n=4 

400

Solve for x. 

−3(4x+3)+4(6x+1)=43

x=4 

500

Solve for x. 

−5(1−5x)+5(−8x−2)=−4x−8x

x= -5 

Polynomials

100

Factor the Polynomial. 

7k^2 +9k

k(7k+9)

200

Factor the polynomial. 

m^2 −9m+8

(m-1)(m-8)

300

Factor completely. 

x^2 −16x+63

(x − 9)(x − 7)

400

Factor Completely. 

 3+6b+3b^2

3(1 + b)^2

500

Factor:

x^7m +x^4m −15xm

xm(x^3 − 3)(x^3 + 5)

System of Equations

100

Find the solution and state as coordinate pair. 

y=−3x+4

y = 3x − 2

(1,1)

200

Find the solution and state as coordinate pair.

4x + y = 2

y=x-3

(1,-2)

300

Find solution. 

x − y = 3

7x − y = −3

(−1, −4)

400

Find Intersection Point. 

y=? x^2 +? 4x+? 1

y ?= 3x ?+ 1

 (4, 1) and (1, 4)

500

Find Intersection Point. 

y?=x^2+?11x+?36 

y =-12x ?+36

 (?9, 144) and (8, ?60)