BM1 Review

Factoring

100

a²-9a

a(a-9)

200

b²-3b

b(b-3)

300

x²-81

(x-9)(x+9)

400

x²-x-56

(x-8)(x+7)

500

4p²+32p-36

4(p+9)(p-1)

Sequences

100

Identify if the sequence is arithmetic or geometric. Find the explicit formula.

10, 0, -10, -20

arithmetic 

a_n=-10n+20

200

Identify if the sequence is arithmetic or geometric. Find the explicit formula.

11, 6, 1, -4, ...

arithmetic 

a_n=-5n+16

300

Identify if the sequence is arithmetic or geometric. Find the explicit formula. 

1, -4, 16, -64, ...

geometric 

a_n=1(-4)^n-1

400

Find the 8th term of the geometric sequence 

-2, -10, -50, -250, ...

a₈= -156,250

500

What type of sequence is the following: 

2, 5, 10, 17

neither 

Exponential Functions

100

The population of an endangered bird species is decreasing at a rate of 0.75% each year. There are currently 200,000 birds. How many birds will there be in 100 years?

94,207 birds

200

An investment of 750 dollars increases at a rate of 12.5% each year. Find the value of the investment in 30 years.

$25,682.48

300

Is the following function exponential growth or decay? And what is the horizontal asymptote? 

y=2(2)^x-2

growth 

y=-2

400

Is the following growth or decay? What is the y-intercept of the following function? 

y=3(1/2)^x+2

decay 

(0,5)

500

What is the domain and range of the exponential function? 

y=2(2)^x-2

Domain (-infinity, + infinity)

Range (-2, infinity)

Linear Functions

100

What is the slope intercept form of the equation: 

x+7y=-14

y=(-1/7)x-2

200

What is the slope and y-intercept of the equation: 

x+y=0

Slope: -1

Y-intercept (0,0)

300

Write an equation that goes through the point (-4,0) and it perpendicular to the line y=-4/3x+2

y=3/4x+3

400

Write an equation that goes through the point (5,-1) and is parallel to the line y=-1/9x+1

y=-1/9x-4/9

500

Jenny is making jewelry for an Arts and Crafts show. She would like to make at least $100 in sales. She estimates that she will sell at most 50 pieces of jewelry. The bracelets that she is selling cost $2 and the necklaces cost $3. Write a system of inequalities that represents the scenario. 

2x+3y >= 100

x+y <=50

Miscellaneous

100

Simplify 

(-3x³+2x²-5x) - (2x³+4x-8)

(-5x³+2x²-9x+8)

200

What is the y-intercept of the 2x-3y=9

(0,-3)

300

What is the difference between a rational and irrational number? 

A rational number is a number that can be written as a fraction. An irrational number cannot be written as a fraction and is a non repeating, non terminating decimal like pi. 

400

If the correlation coefficient is r=0.912, describe the relationship between the two variables. 

positive strong 

500

The cost of a flight is related to the distance traveled.  This can be modeled by the equation 

y = 0.0965x + 17.2 where x is distance in miles and y is cost in dollars. 

Using this model, what would be the cost of a flight that travels 800 miles? Round your answer to the nearest dollar.

94 dollars