bell work2/25/2015 solve the system by linear combination

Bell Work 2/25/2015

141.

3 5 48

x y

x y

Solve the system by linear combination.

3 4 32.

5 7 6

x y

x y

Yesterday’s Homework

1. Any questions?2. Please pass your homework to the front.

• Make sure the correct heading is on your paper.• Is your NAME on your paper?

• Make sure the homework is 100% complete.• Incomplete work will NOT be accepted.

Solving Systems by Elimination (word prob.)

04/19/23

Heading

TSWBAT: solve a linear system word problem.

Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

6.3D

Notes• Steps for Solving Linear System Word Problems

1. Mark the text.- Underline what you think is important. (numbers)

2. Label the variables.

3. Create your equation(s).

4. Solve.

5. Check your answer. Does it make sense?

- Circle any key terms or vocabulary.

- Double-underline the question.

- For this section you will have two of the form:

#

__ __ #

x y

x y

NotesA math test has a total of 25 problems. Some problems are worth 2 points and some are worth 3 points. The whole test is worth 63 points. How many 2-point problems were there?

Ex.

x =

y =

# of 2-point problems

# of 3-point problems

25x y 2 3 63x y

2 2 2

13y

2x 2y 502 3 63x y

25x y 25x 1313 13

12x 12 2-point problems

1. Mark the text.2. Label variables.

3. Create equations.

4. Solve.

5. Check.

NotesMrs. Smith took her family and friends to the movies. There were a total of 15 people. Children tickets cost $5 and adult tickets cost $10. She spent a total of $110. How many adults went to the movies?

Ex.

x =

y =

# of children

# of adults

15x y 5 10 110x y

5 5 5

5 35y

5x 5y 755 10 110x y

15x y 15x 77 7

8x

7 adults

1. Mark the text.2. Label variables.

3. Create equations.

4. Solve.

5. Check.7y 5 5

NotesJimmy has a pocket full of quarters and dimes. There are a total of 40 coins. When he added it up he counted $5.50. How many quarters does he have in his pocket?

Ex.

x =

y =

# of quarters

# of dimes

40x y .25 .10 5.50x y 100 100 100

25x 10y 55010x

40x y 40y 1010 10

30y

10 quarters

1. Mark the text.2. Label variables.

3. Create equations.

4. Solve.

5. Check.

10 10 10

10y 400

15 150x

10x 15 15

NotesFor Valentines Day Mark bought his mom 15 flowers, a mixture of roses and daisies. The roses cost $1.10 each and the daisies cost $1.45 each. If he spent $19.65, how many daisies did he buy?

Ex.

x =

y =

# of roses

# of daisies

15x y 1.10 1.45 19.65x y 100 100 100

110x 145y 1965110x

15x y 15x 9

9 9 6x

9 daisies

1. Mark the text.2. Label variables.

3. Create equations.

4. Solve.

5. Check.

110 110 110

110y 1650

35 359y

35 315y

Summary

When solving a word problem first _____ the text. Second label your ________. After creating your two equations then just _____ the system. Be sure to _____ your answer and make sure it makes _____.

markvariablessolve

check sense

Today’s Homework

1. Pencil ONLY.2. Must show all of your work.

• NO WORK = NO CREDIT3. Must attempt EVERY problem.4. Always check your answers.

Rules for Homework

Homework 6.3D

1. A math test has a total of 30 problems. Some problems are worth 2 points and some are worth 4 points. The whole test is worth 72 points. How many 4-point problems were there?

2. Mrs. Smith took her family and friends to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets cost $9. She spent a total of $129. How many children went to the movies?

3. Jimmy has a pocket full of quarters and dimes. There are a total of 32 coins. When he added it up he counted $5.60. How many dimes does he have in his pocket?

Solve the word problem.

Complete the Ticket Out the Door without talking!!!!!

Talking = time after the bell!

Ticket Out the Door

Put your NAME on the paper.

When finished, turn your paper face DOWN.

For Valentines Day Mark bought his mom 12 flowers, a mixture of roses and daisies. The roses cost $1.20 each and the daisies cost $1.50 each. If he spent $15.00, how many roses did he buy?

Solve the word problem.