Podcast
Questions and Answers
What is the correct order when counting backwards from 6 to -3?
What is the correct order when counting backwards from 6 to -3?
- -3, -2, -1, 0, 1, 2, 3, 4, 5, 6
- -3, -4, -5, -6, -7, -8, -9, -10
- 6, 5, 4, 3, 2, 1, 0, -1, -2, -3 (correct)
- 0, -1, -2, -3
What is the result of the calculation: 5 + (-8)?
What is the result of the calculation: 5 + (-8)?
- -15
- -3
- -2
- -13 (correct)
Which calculation results in a negative answer?
Which calculation results in a negative answer?
- -10 - (-2)
- -4 - (-7)
- -1 + 5 (correct)
- -3 + 8
When counting backwards from zero using negative numbers, what is the next number after -12?
When counting backwards from zero using negative numbers, what is the next number after -12?
Which calculation represents subtracting a negative number?
Which calculation represents subtracting a negative number?
What is the base in the expression x8?
What is the base in the expression x8?
What is the exponent in the expression b3?
What is the exponent in the expression b3?
What is the numerical coefficient of the expression 5x?
What is the numerical coefficient of the expression 5x?
If p = 2 and q = 5, then 2p + q2 =
If p = 2 and q = 5, then 2p + q2 =
Find the values of 2t over the domain {3, 4, 7, 8}.
Find the values of 2t over the domain {3, 4, 7, 8}.
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Study Notes
Counting Backwards
- When counting backwards from 6 to -3, the correct order is: 6, 5, 4, 3, 2, 1, 0, -1, -2, -3
Basic Algebra
- 5 + (-8) = 5 - 8 = -3
- A calculation results in a negative answer when a positive number is subtracted by a larger number, or when a negative number is added to a positive number
- Subtracting a negative number is equivalent to adding a positive number
Negative Numbers
- When counting backwards from zero using negative numbers, the next number after -12 is -13
Algebraic Expressions
- In the expression x8, the base is x and the exponent is 8
- In the expression b3, the base is b and the exponent is 3
- The numerical coefficient of the expression 5x is 5
Evaluating Expressions
- If p = 2 and q = 5, then 2p + q2 = 2(2) + 5^2 = 4 + 25 = 29
Domain and Range
- The values of 2t over the domain {3, 4, 7, 8} are 2(3) = 6, 2(4) = 8, 2(7) = 14, and 2(8) = 16
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