10 Questions
What is the correct order when counting backwards from 6 to -3?
6, 5, 4, 3, 2, 1, 0, -1, -2, -3
What is the result of the calculation: 5 + (-8)?
-13
Which calculation results in a negative answer?
-1 + 5
When counting backwards from zero using negative numbers, what is the next number after -12?
-11
Which calculation represents subtracting a negative number?
-2 - (-4)
What is the base in the expression x8?
x
What is the exponent in the expression b3?
3
What is the numerical coefficient of the expression 5x?
5
If p = 2 and q = 5, then 2p + q2 =
$2(2) + (5)^2$
Find the values of 2t over the domain {3, 4, 7, 8}.
{6, 8, 14, 16}
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
This quiz focuses on counting forwards and backwards in positive and negative whole numbers, including counting through zero. It also covers basic calculations involving negative numbers like addition and subtraction. A number line can be a helpful tool for visualizing these operations.
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