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Lesson 32: Algebra I #1.7d, Equivalent equations

Algebra 1
Lesson 32:
Lesson 32: Algebra I #1.7d, Equivalent equations
Lesson 32: Algebra I #1.7d, Equivalent equations

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Question 1 of 10

1. Question

What does it mean for two equations to be equivalent?

They have the same number of terms on each side.
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They contain the same variables and coefficients.
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They both equal zero when simplified.
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They have the same solution set.
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Question 2 of 10

2. Question

Which of the following pairs of equations are NOT equivalent?

4n = 20 and n = 5
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n + 8 = 10 and n + 8 = 14
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6n + 4 = 10 and n + 6 = 12
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n + 4 = 10 and n + 6 = 12
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Question 3 of 10

3. Question

What symbol is typically used to enclose the values in a solution set?

Braces { }
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Parentheses ( )
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Angle brackets < >
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Brackets [ ]
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Question 4 of 10

4. Question

If we start with the equation n + 2 = 5 and transform it into n + 5 = 8, what operation was performed on both sides?

Divided both sides by 3
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Multiplied both sides by 3
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Subtracted 3 from both sides
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Added 3 to both sides
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Question 5 of 10

5. Question

When transforming 4n = 20 into n = 5 by dividing both sides by 4, what mathematical property is used to turn 4/4 into the ‘invisible’ coefficient of 1?

Identity Property
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Distributive Property
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Commutative Property
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Associative Property
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Question 6 of 10

6. Question

What mathematical operation was performed on the equation 1/3 n = 8 to turn it into 2/3 n = 16?

Added 8 to both sides
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Multiplied both sides by 2
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Divided both sides by 2
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Multiplied both sides by 3
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Question 7 of 10

7. Question

Which of the following operations will NOT result in an equivalent equation when applied to both sides?

Adding a negative number to both sides
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Multiplying both sides by 0
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Subtracting a fraction from both sides
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Dividing both sides by a positive integer
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Question 8 of 10

8. Question

In the equation 4n = 2, why must the solution be a fraction?

Because the coefficient is larger than the constant on the other side of the equal sign.
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Because any equation with a single variable must have a fractional solution.
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Because 4 and 2 are both even numbers.
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Because 2 can only be divided by prime numbers.
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Question 9 of 10

9. Question

Which of the following equations has infinitely many solutions rather than a single, unique solution?

n – n = 0
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n + 8 = 10
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4n = 2
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12 – n = 7
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Question 10 of 10

10. Question

To transform the equation 12 – n = 7 into 7 – n = 2, what must be done to both sides?

Dividing both sides by 5
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Subtracting 5 from both sides
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Adding 5 to both sides
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Multiplying both sides by -1
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