Algebra 1 6-3 Solving Systems Using Elimination

4.5 (1 rating)

by Matthew Richardson

| 28 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

2

1

10 pts

Solve It! A cafeteria sells fresh fruit by weight. All apples weigh the same, and all oranges weigh the same. What is the weight of an apple? Enter your response using the same format shown on the scales, with a space between the measurement and oz.

2

10 pts

Solve It! In this same scenario, what is the weight of an orange? Enter your response using the same format shown on the scales, with a space between the measurement and oz.

3

3

10 pts

Problem 1 Got It?

A

B

C

D

4

4

10 pts

Problem 1 Got It?

A

B

C

D

5

5

10 pts

Problem 2 Got It?

A

B

C

D

7

10 pts

Problem 3 Got It? Revise and solve the system using elimination. Show your work on the canvas.

8

5 pts

Problem 3 Got It? Is the solution of the revised system also the solution of the original system? If not, consider checking your work.

Yes, the solution applies to both systems.

No, the solution only applies to the revised system.

9

10 pts

Problem 4 Got It? How can you use the Multiplication Property of Equality to change an equation in the system below in order to solve it using elimination?

10

10 pts

Problem 4 Got It? Revise and solve the system using elimination. Show your work on the canvas.

11

5 pts

Problem 4 Got It? Is the solution of the revised system also the solution of the original system? If not, consider checking your work.

Yes, the solution applies to both systems.

No, the solution only applies to the revised system.

12

12

10 pts

Problem 5 Got It?

A

B

C

Please follow the directions to solve each system using elimination before checking your work by graphing using the embedded Desmos graphing calculator below.

13

13

10 pts

A

B

C

D

14

14

10 pts

A

B

C

D

15

15

10 pts

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B

C

D

16

10 pts

Vocabulary: If you add two equations in two variables and the sum is an equation in one variable, what method are you using to solve the system? Explain.

17

10 pts

Reasoning: Explain how the Addition Property of Equality allows you to add equations.

18

10 pts

Writing: Explain how you would solve a system of equations using elimination.

19

10 pts

Review Lesson 6-2: Solve the system using substitution.

(10, 5)

(7, 3.5)

(-1, 16)

(3, 2)

20

10 pts

Review Lesson 6-2: Solve the system using substitution.

Enter your response in this format: (5, 3)

21

10 pts

Review Lesson 3-4: Solve the inequality. Show your work on the canvas.

22

10 pts

Review Lesson 3-4: Solve the inequality. Show your work on the canvas.

23

10 pts

Review Lesson 2-4: Two trains run on two sets of parallel tracks. The first train leaves a city 1/2 h before the second train. The first train travels at 55 mi/h. The second train travels at 65 mi/h. How long does it take for the second train to pass the first train? Round your answer to the nearest whole hour and enter only a number.

24

5 pts

Vocabulary Review: Which of the following does NOT describe a formula?

a fixed method for doing something

a recipe or prescription

a rule or principle

a constant

25

5 pts

Use Your Vocabulary: Complete the sentence with the word elimination or one of its other word forms. Enter only 1 word as your response.

The city council will not __?__ funding for the public library.

26

5 pts

Use Your Vocabulary: Complete the sentence with the word elimination or one of its other word forms. Enter only 1 word as your response.

The __?__ of the dance portion of the contest was disappointing.

27

5 pts

Use Your Vocabulary: Complete the sentence with the word elimination or one of its other word forms. Enter only 1 word as your response.

The new floor cleaner is great for __?__ dirt.

28

10 pts

Reflection: Math Success

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