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Lesson 75: Algebra I #3.1b, Solving with the Addition Property of Equality

Algebra 1
Lesson 75: Algebra I #3.1b, Solving with the Addition Property of Equality
Algebra I #3.1b, Solving with the Addition Property of Equality
Lesson 75: Algebra I #3.1b, Solving with the Addition Property of Equality

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Question 1 of 10

1. Question

What is the formal definition of the Addition Property of Equality for all rational numbers a, b, and c?

If a = b, then a – b = c
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If a = b, then a + c = b + c
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If a = b, then a * c = b * c
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If a + b = c, then a = c – b
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Question 2 of 10

2. Question

According to the lesson, what four steps should be followed when solving word problems?

Understand the problem, make a plan, find the answer, and check it.
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Graph the numbers, find the slope, calculate the intercept, and solve.
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Read the problem, guess the answer, write the equation, and estimate.
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Identify key terms, multiply the numbers, round the answer, and simplify.
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Question 3 of 10

3. Question

What forms a ‘zero pair’ when using additive inverses to solve equations?

Multiplying a positive number by zero.
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Combining a number with its opposite (such as +5 and -5).
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Adding two positive numbers together.
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Dividing any non-zero number by itself.
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Question 4 of 10

4. Question

In a word problem, what does a clue phrase like ‘a total of 63’ indicate when setting up an equation?

That 63 represents the initial starting quantity.
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That 63 should be subtracted from the variable.
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That the equation is set equal to 63.
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That 63 should be multiplied by the variable.
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Question 5 of 10

5. Question

In the elephant problem (e + 15 = 63), how is the additive inverse used to isolate the variable e?

Multiply both sides of the equation by 15.
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Add 15 to both sides of the equation to double the constant.
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Divide both sides of the equation by 63.
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Subtract 15 from both sides of the equation to create a zero pair with +15.
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Question 6 of 10

6. Question

In the equation 17 – x = 6, what remains on the left side after subtracting 17 from both sides?

17x
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0
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x
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-x
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Question 7 of 10

7. Question

Why does the lesson emphasize plugging your answer back into the original equation?

To check and verify that the calculated answer is correct.
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To generate a secondary algebraic variable.
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To convert the linear equation into a word problem.
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To change the operation from addition to multiplication.
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Question 8 of 10

8. Question

A channel had 36,930 views, and the total views grew to 40,004 the next day. Which equation models the new views v gained?

36,930 * v = 40,004
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40,004 + v = 36,930
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36,930 + v = 40,004
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36,930 – v = 40,004
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Question 9 of 10

9. Question

What is the solution for v in the equation 36,930 + v = 40,004?

4,074
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76,934
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3,174
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3,074
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Question 10 of 10

10. Question

Do zero pairs and the Addition Property of Equality apply only to positive whole numbers?

Yes, because negative numbers cannot form zero pairs.
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Yes, they only apply to positive integers.
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No, they only work with whole numbers and zero.
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No, they apply to all rational numbers, including decimals and fractions.
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