Algebra 1 6-3 Guided Practice: Solving Systems Using Elimination
By Matt Richardson
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Last updated almost 3 years ago
19 Questions
10 points
10
Question 1
1.
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.
A.REI.5
A.REI.6
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10
Question 2
2.
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.
A.REI.5
A.REI.6
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10
Question 3
3.
Take Note: Review: Describe the process of solving systems of equations by graphing.
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10
Question 4
4.
Take Note: Review: Describe the process of solving systems of equations using the substitution method.
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Question 5
5.
Take Note: Describe the process of solving systems of equations using the elimination method.
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Question 6
6.
Problem 1 Got It?
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A.REI.6
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Question 7
7.
Problem 1 Got It?
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A.REI.6
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Question 8
8.
Take Note: Consider the equation below.
Write an equation that can be added to the given equation to cancel the x-terms completely.
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10
Question 9
9.
Take Note: Consider the equation below.
Write an equation that can be subtracted from the given equation to cancel the y-terms completely.
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10
Question 10
10.
Problem 2 Got It?
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Question 11
11.
Take Note: Consider the system of linear equations below:
2x+3y=11\\x-2y=-5
The equations do not yet have equal or opposite coefficients of either x or y.
Describe the first step that is necessary if solving this system with the elimination method. Hint: It will create equal or opposite numbers of x's or y's.
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10
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Question 13
13.
Problem 3 Got It? Revise and solve the system using elimination. Show your work on the canvas.
In this case, revise means to multiply one or both equations by a number to establish an equivalent system for solving by elimination.
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5 points
5
Question 14
14.
Problem 3 Got It? Is the solution of the revised system also the solution of the original system? If not, consider checking your work.
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A.REI.6
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Question 15
15.
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?
A.REI.6
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Question 16
16.
Problem 4 Got It? Revise and solve the system using elimination. Show your work on the canvas.
A.REI.5
A.REI.6
5 points
5
Question 17
17.
Problem 4 Got It? Is the solution of the revised system also the solution of the original system? If not, consider checking your work.
A.REI.5
A.REI.6
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Question 18
18.
Problem 5 Got It?
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10
Question 19
19.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
