| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
Simplify (4a)(4ab) + (7a2)(3b).
| 5ab2 | |
| 5a2b | |
| 37a2b | |
| 80ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(4a)(4ab) + (7a2)(3b)
(4 x 4)(a x a x b) + (7 x 3)(a2 x b)
(16)(a1+1 x b) + (21)(a2b)
16a2b + 21a2b
37a2b
Simplify (4a)(4ab) - (2a2)(4b).
| 8a2b | |
| 24a2b | |
| 48ab2 | |
| 48a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(4a)(4ab) - (2a2)(4b)
(4 x 4)(a x a x b) - (2 x 4)(a2 x b)
(16)(a1+1 x b) - (8)(a2b)
16a2b - 8a2b
8a2b
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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pairs |
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exponents |
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addition |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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right, acute, obtuse |
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acute, right, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
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\({\Delta y \over \Delta x}\) |
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slope |
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x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.