Omar PostQuiz Review

TEST TOMORROW!
This review is broken into sections to help you find and practice the types of problems you missed on the quiz.

1) Checking Ordered Pairs, #1-3  (#3 on Quiz)
2) Solve by Graphing, #4, 5  (#4 on Quiz)
3) Solve by Elimination, #6-12  (#1, 5 on Quiz)
4) Many or No Solutions, #13-15  (#2, 5 on Quiz)
5) Word Problems, #16-18  (#6 on Quiz) 

Each section has a video link to help you review the topic for that specific section. It is your responsibility to make sure you ask questions, that you practice, and that you are prepared for tomorrow's test.

1) CHECKING IF ORDERED PAIR IS A SOLUTION: #1-3
Review this video and practice these problems if you missed Problem 3 on the quiz.

Video Review
Checking If Point is a Solution to System
https://youtu.be/QfWJDQrj4kU

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A student is checking if (2,3) is a solution to the system below:

y = 2x - 1
2x + 2y = 10

What VALUES does the student get when checking the first equation (green)? TYPE THE FINAL RESULT. I'm not asking YET if the ordered pair is a solution or not. I'm only asking you to write the values you get.
Ex. If your work gives 10 on the right and 27 on the left, then type ONLY 27 = 10. Don't type any work!

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THIS IS A CONTINUATION OF PROBLEM 1.

A student is checking if (2,3) is a solution to the system below:

y = 2x - 1
2x + 2y = 10

What VALUES does the student get when checking the second equation (red)? TYPE THE FINAL RESULT. I'm not asking YET if the ordered pair is a solution or not. I'm only asking you to write the values you get.
Ex. If your work gives 10 on the right and 27 on the left, then type ONLY 27 = 10. Don't type any work!

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THIS IS A CONTINUATION OF PROBLEMS 1 AND 2.

A student is checking if (2,3) is a solution to the system below:

y = 2x - 1
2x + 2y = 10

Is the ordered pair a solution for the equation? Type YES or NO only, nothing else.

2) SOLVING SYSTEMS BY GRAPHING: #4, 5

Review this video and practice these problems if you missed Problem 4 on the quiz.

Video Review
Solving Systems by Graphing
https://youtu.be/Pd4hwS8qHms

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What is the solution to the system graphed below?

0

Graph the system carefully in your notebook. Then, type the solution to the system.

WRITE THE ORDERED PAIR CORRECTLY: if x = 2 and y = -7, the ordered pair is (2,-7), WITH PARANTHESES.

3) SOLVING SYSTEMS BY ELIMINATION: #6-12

Review this video and practice these problems if you missed Problems 1 and 5 on the quiz.

Video Review
Solving by Elimination with Subtraction
https://youtu.be/R-pbwgrH5Lg

Solving by Elimination with Addition
https://youtu.be/V4elAQiaKq0

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For the system shown below,

5x + 3y = 5
5x - 2y = 7

Which variable can be eliminated (gives 0), IF POSSIBLE, and must you add or subtract to make it cancel?

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For the system shown below,

3x + 9y = 5
x - 9y = 2

Which variable can be eliminated (gives 0), IF POSSIBLE, and must you add or subtract to make it cancel?

0

You can eliminate one variable and solve for the first answer in the system below right from the start.

What is the FIRST ANSWER (ONLY!) that you can get from the system?

Work it out in your notebook!!

4x + 3y = 24
4x + y = 16

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THIS IS A CONTINUATION OF PROBLEM 8.

Use your answer from Problem 8 and find the answer for the OTHER variable.
Type your answer in the space belolw. Ex. x = 9; OR y = -5, etc.
Work it out in your notebook!!

4x + 3y = 24
4x + y = 16

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What could be your first step for solving the system below if you want to MAKE THE X'S CANCEL TO ZERO eventually?

Equation 1: 7x + 3y = 5
Equation 2: x + y = 2

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FOR THIS PROBLEM, REMEMBER AND THINK:
To get zero by ADDING, the coefficients must be OPPOSITES.
To get zero by SUBTRACTING, the coefficients must be IDENTICAL.

What could be your first step for solving the system below if you want to to make x's cancel to zero BY ADDING?

Equation 1: 3x + 5y = 9
Equation 2: x + y = 3

0

DO THE WORK IN YOUR NOTEBOOK. THEN TYPE YOUR ANSWER IN THE TEXT BOX.

Solve the system using elimination.

-2x + y = 5
x - 3y = -5

4) SYSTEMS WITH NO OR MANY SOLUTIONS: #13-15

Review this is you missed problem #2 and 5 on the Quiz. Then do the practice problems that follow.

Video Reviews
Systems with Many or No Solutions by Elimination
https://youtu.be/bq5gDsEdN3Q

Systems with Many or No Solutions by Graphing
https://youtu.be/EWxYkqWw07E  (no solution)
https://youtu.be/KX2w-6EGWVA (infinite solutions)

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If you get the step 0 = 0 when solving a system, what can you conclude about the solution?

0

If you get the step 0 = -3 when solving a system, what can you conclude about the solution?

0

DO THE WORK IN YOUR NOTEBOOK. THEN TYPE YOUR ANSWER (no solution or many solutions) IN THE TEXT BOX.

Solve the system using elimination.

4x - 6y = 2
2x - 3y = 1

5) WRITING SYSTEMS FOR WORD PROBLEMS: #16-18
Review this is you missed problem #6 on the Quiz. Then do the practice problems that follow.

Example.

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A teacher bought 3 boxes of pencils and 1 box of markers for $14. Another teacher bought 1 box of pencils and 1 box of markers for $10.

Write ONE of the equations that represent this situation. Use P for pencils and M for markers.

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THIS IS A CONTINUATION OF PROBLEM 16.

A teacher bought 3 boxes of pencils and 1 box of markers for $14. Another teacher bought 1 box of pencils and 1 box of markers for $10.

Write THE OTHER equation that goes together with the one you wrote in Problem 16 that represent this situation. Use P for pencils and M for markers.

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THIS IS A CONTINUATION OF PROBLEMS 16 AND 17.

A teacher bought 3 boxes of pencils and 1 box of markers for $14. Another teacher bought 1 box of pencils and 1 box of markers for $10.

Solve the system and write your answer as an ordered pair (P,M) USING ONLY NUMBERS AND NO DOLLAR SIGNS.

THIS IS A CONTINUATION OF PROBLEMS 1 AND 2.A student is checking if (2,3) is a solution to the system below:y = 2x - 12x + 2y = 10Is the ordered pair a solution for the equation? Type YES or NO only, nothing else.

What is the solution to the system graphed below?

Graph the system carefully in your notebook. Then, type the solution to the system.WRITE THE ORDERED PAIR CORRECTLY: if x = 2 and y = -7, the ordered pair is (2,-7), WITH PARANTHESES.

For the system shown below,5x + 3y = 5 5x - 2y = 7Which variable can be eliminated (gives 0), IF POSSIBLE, and must you add or subtract to make it cancel?

For the system shown below,3x + 9y = 5 x - 9y = 2Which variable can be eliminated (gives 0), IF POSSIBLE, and must you add or subtract to make it cancel?

You can eliminate one variable and solve for the first answer in the system below right from the start. What is the FIRST ANSWER (ONLY!) that you can get from the system?Work it out in your notebook!!4x + 3y = 244x + y = 16

THIS IS A CONTINUATION OF PROBLEM 8.Use your answer from Problem 8 and find the answer for the OTHER variable.Type your answer in the space belolw. Ex. x = 9; OR y = -5, etc. Work it out in your notebook!!4x + 3y = 244x + y = 16

What could be your first step for solving the system below if you want to MAKE THE X'S CANCEL TO ZERO eventually?Equation 1: 7x + 3y = 5Equation 2: x + y = 2

DO THE WORK IN YOUR NOTEBOOK. THEN TYPE YOUR ANSWER IN THE TEXT BOX.Solve the system using elimination.-2x + y = 5 x - 3y = -5

If you get the step 0 = 0 when solving a system, what can you conclude about the solution?

If you get the step 0 = -3 when solving a system, what can you conclude about the solution?

DO THE WORK IN YOUR NOTEBOOK. THEN TYPE YOUR ANSWER (no solution or many solutions) IN THE TEXT BOX.Solve the system using elimination.4x - 6y = 22x - 3y = 1

A teacher bought 3 boxes of pencils and 1 box of markers for $14. Another teacher bought 1 box of pencils and 1 box of markers for $10.Write ONE of the equations that represent this situation. Use P for pencils and M for markers.

THIS IS A CONTINUATION OF PROBLEMS 16 AND 17.A teacher bought 3 boxes of pencils and 1 box of markers for $14. Another teacher bought 1 box of pencils and 1 box of markers for $10.Solve the system and write your answer as an ordered pair (P,M) USING ONLY NUMBERS AND NO DOLLAR SIGNS.

THIS IS A CONTINUATION OF PROBLEMS 1 AND 2.

A student is checking if (2,3) is a solution to the system below:

y = 2x - 1
2x + 2y = 10

Is the ordered pair a solution for the equation? Type YES or NO only, nothing else.

Graph the system carefully in your notebook. Then, type the solution to the system.

WRITE THE ORDERED PAIR CORRECTLY: if x = 2 and y = -7, the ordered pair is (2,-7), WITH PARANTHESES.

For the system shown below,

5x + 3y = 5
5x - 2y = 7

Which variable can be eliminated (gives 0), IF POSSIBLE, and must you add or subtract to make it cancel?

For the system shown below,

3x + 9y = 5
x - 9y = 2

Which variable can be eliminated (gives 0), IF POSSIBLE, and must you add or subtract to make it cancel?

You can eliminate one variable and solve for the first answer in the system below right from the start.

What is the FIRST ANSWER (ONLY!) that you can get from the system?

Work it out in your notebook!!

4x + 3y = 24
4x + y = 16

THIS IS A CONTINUATION OF PROBLEM 8.

Use your answer from Problem 8 and find the answer for the OTHER variable.
Type your answer in the space belolw. Ex. x = 9; OR y = -5, etc.
Work it out in your notebook!!

4x + 3y = 24
4x + y = 16

What could be your first step for solving the system below if you want to MAKE THE X'S CANCEL TO ZERO eventually?

Equation 1: 7x + 3y = 5
Equation 2: x + y = 2

DO THE WORK IN YOUR NOTEBOOK. THEN TYPE YOUR ANSWER IN THE TEXT BOX.

Solve the system using elimination.

-2x + y = 5
x - 3y = -5

DO THE WORK IN YOUR NOTEBOOK. THEN TYPE YOUR ANSWER (no solution or many solutions) IN THE TEXT BOX.

Solve the system using elimination.

4x - 6y = 2
2x - 3y = 1

A teacher bought 3 boxes of pencils and 1 box of markers for $14. Another teacher bought 1 box of pencils and 1 box of markers for $10.

Write ONE of the equations that represent this situation. Use P for pencils and M for markers.

THIS IS A CONTINUATION OF PROBLEMS 16 AND 17.

A teacher bought 3 boxes of pencils and 1 box of markers for $14. Another teacher bought 1 box of pencils and 1 box of markers for $10.

Solve the system and write your answer as an ordered pair (P,M) USING ONLY NUMBERS AND NO DOLLAR SIGNS.