Chapter 6 Closure

Exponential Growth

100

153a. 

What is the multiplier?

1.02

200

153 b.

If this trends continues, what will the cost be in 4 years?

31,000*1.02⁴=33,555

300

153c.

Write an equation to calculate the cost in n years.

t(n)=31,000*1.02ⁿ

400

152. a.

What is the multiplier for the sequence?

3

500

152. b. 

Write an explicit equation for the sequence.

t(n)=2*3ⁿ

1 Variable Equations

100

148a.

6x-11=4x+12

x=11.5

200

127d.

y=-2x+5 Solve for x.

x=(y-5)/-2

300

127a.

y/3-a=b Solve for y.

y=3(a+b)

or 

y=3a+3b

400

127b.

F=ma Solve for m.

m=F/a

500

127c.

F=ma Solve for a

a=F/m

1 Variable Equations #2

400

148b.

2(3x-5)=6x-4

no solution

500

148c.

\frac{2}{3}x+3=\frac{1}{4}x-7

2x/3+3=x/4-7

x=-24

Systems of Equations

100

150a

Estimate the solution from the graph.

x between 1 and 2

y between 2 and 3

200

150b.

What is the equation of each line in the system?

y=-2x+5

y=x+1

300

150c

c. Solve the system algebraically.

(1 1/3, 2 1/3)

400

151

Write a system of equations representing this problem.   *Just write the equations. Don’t solve all the way through*

9x+15y=180

x+y=18

500

146

a.Solve these systems of equations using any method.

y=3x+7

y=-4x+21

x=2

y=13

Systems of Equations #2

200

146

b. Solve this system using any method.

3x-y=17

-x+y=-y

x=5

y=-2

300

132a.

The Math Club sold roses and tulips this year for Valentine’s Day. The number of roses sold was eight more than four times the number of tulips sold. Tulips were sold for $2 each and roses for $5 each. The club made $414.00. How many roses were sold? 

a. Define your variables using a "let" statement.

r=number of roses sold

t=number of tulips sold

400

132b.

b. Write a system of equations representing this situation. 

The Math Club sold roses and tulips this year for Valentine’s Day. The number of roses sold was eight more than four times the number of tulips sold. Tulips were sold for $2 each and roses for $5 each. The club made $414.00. How many roses were sold?

r=8+4t

2t+5r=414

500

132c

c. Solve the system of equations

The Math Club sold roses and tulips this year for Valentine’s Day. The number of roses sold was eight more than four times the number of tulips sold. Tulips were sold for $2 each and roses for $5 each. The club made $414.00. How many roses were sold?

76 roses sold