| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
Simplify (8a)(2ab) + (9a2)(3b).
| 120ab2 | |
| 43a2b | |
| 11ab2 | |
| 43ab2 |
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.
(8a)(2ab) + (9a2)(3b)
(8 x 2)(a x a x b) + (9 x 3)(a2 x b)
(16)(a1+1 x b) + (27)(a2b)
16a2b + 27a2b
43a2b
Simplify (y + 3)(y - 9)
| y2 + 6y - 27 | |
| y2 - 6y - 27 | |
| y2 - 12y + 27 | |
| y2 + 12y + 27 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 3)(y - 9)
(y x y) + (y x -9) + (3 x y) + (3 x -9)
y2 - 9y + 3y - 27
y2 - 6y - 27
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
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obtuse, acute |
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supplementary, vertical |
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vertical, supplementary |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
A quadrilateral is a shape with __________ sides.
3 |
|
4 |
|
2 |
|
5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If angle a = 51° and angle b = 26° what is the length of angle c?
| 86° | |
| 116° | |
| 103° | |
| 112° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 51° - 26° = 103°