solving systems algebraically - application problems · 1. katy's favorite rides at the...

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September 11, 2017 Alg 2 Section 3.2 Day 2 Solving Systems Algebraically - Application Problems Learning Target: I can solve linear systems of equations using substitution & elimination (A-REI.C.6) When solving an application problem remember to: 1. Define your variables - what are you solving for? 2. Set up 2 equations. 3. Solve - use any method 4. Answer the question using labels.

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Page 1: Solving Systems Algebraically - Application Problems · 1. Katy's favorite rides at the amusement park are the rollercoaster and water slide. The wait time for the rollercoaster is

September 11, 2017

Alg 2 Section 3.2 Day 2

Solving SystemsAlgebraically -

Application Problems

Learning Target:

I can solve linear systems of equations using substitution & elimination

(A-REI.C.6)

When solving an application problem remember to:

1. Define your variables - what are you solving for?

2. Set up 2 equations.

3. Solve - use any method

4. Answer the question using labels.

Page 2: Solving Systems Algebraically - Application Problems · 1. Katy's favorite rides at the amusement park are the rollercoaster and water slide. The wait time for the rollercoaster is

September 11, 2017

1. Katy's favorite rides at the amusement park are the rollercoaster and water slide. The wait time for the rollercoaster is 25 minutes and the wait time for the water slide is 10 minutes. If she went on 12 rides total and waited three hours in line, how many times did she go on each ride?

2. A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is $16.65. Find the number of each coin.

Page 3: Solving Systems Algebraically - Application Problems · 1. Katy's favorite rides at the amusement park are the rollercoaster and water slide. The wait time for the rollercoaster is

September 11, 2017

3. The perimeter of a rectangular wooden deck is 90 feet. The deck's length is 5 feet less than 4 times its width. What are the dimensions of the deck?

4. Some students want to order shirts with their club slogan. T.E.E. shirts charges $9.65 per shirt plus a setup fee of $43. Comfy Cotton charges $8.40 per shirt plus a $58 fee. For what number of shirts would the cost be the same?

Page 4: Solving Systems Algebraically - Application Problems · 1. Katy's favorite rides at the amusement park are the rollercoaster and water slide. The wait time for the rollercoaster is

September 11, 2017

5. At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. Determine the cost of the taco and the cost of a small glass of milk.

Assignment: 3.2 Day 2 Worksheet

Page 5: Solving Systems Algebraically - Application Problems · 1. Katy's favorite rides at the amusement park are the rollercoaster and water slide. The wait time for the rollercoaster is

September 11, 2017

Alg 2 3.2 Day 2 Application Problems Wksht Answers1. Squash costs $0.18 and zucchini costs $0.21.

2. 16 dimes and 24 quarters

3. width = 18cm, length = 22cm

4. carpet costs $2.49 per ft2 , laminate costs $1.88 per ft2

5. 60 of the 25¢ stamps, 28 of the 2¢ stamps

6. Ann has $37 and Betty has $23

7. $10.50 per hour of babysitting, $7.75 per hour at the waterpark

8. Math textbook costs $42.50.