Linear Equations
Write the slope-intercept form of the equation.
3x−2y=−16
y= 3/2x +8
Evaluate each function at the given value.
f (x) =(1/3) (6)x when x= 2
12
Solve for x.
−20 = −4x − 6x
x = 2
Factor the Polynomial.
7k2 + 9k
k(7k + 9)
Find the solution and state as coordinate pair.
y=−3x + 4
y = 3x − 2
(1,1)
Write the slope-intercept form of the equation.
2x + 5y = 5
y = -2/5x + 1
If the exponential function is y= (2)(8)x, what is the y - intercept?
Y - Intercept: 2
Solve for m.
4m −4 = 4m
0 = -4
No solution.
Factor the polynomial.
m2 − 9m + 8
(m - 1)(m - 8)
Find the solution and state as coordinate pair.
4x + y = 2
y = x - 3
(1,-2)
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
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 - 0.143)x
Solve for n.
5n + 34 = −2(1 − 7n)
n = 4
Factor completely.
x2 −16x + 63
(x − 9)(x − 7)
Find solution.
x − y = 3
7x − y = −3
(−1, −4)
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
Decide whether the word problem represents a linear or exponential function. Then, write the function formula that best represents the problem.
- There are 20,000 owls in the wild. Every decade, the number of owls is halved.
Exponential
y= (20,000)(1/2)x
Solve for x.
−3(4x + 3) + 4(6x + 1) = 43
x = 4
Factor Completely. (hint: GCF)
3b2 +6b + 3
3(b + 1)2
3(b + 1)(b + 1)
Find Intersection Point. (hint: use the calculator)
y = x2 + x - 2
y = - x + 1
(1, 0) and (-3, 4)
Write the equation of the line through the given points. (hint: find the slope)
(-3, 2) and (0,-1)
y= -x - 1
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.
y = 12000(1 - 0.12)t
$4,904.11
Solve for x.
−5(1 − 5x) + 5(−8x − 2) = −4x − 8x
x = -5
Factor:
x3m + 2x2m − 15xm
xm(x − 3)(x + 5)
Find Intersection Point.
y = x2 - 6x + 9
y + x = 5
(4, 1) and (1, 4)