| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
If a = c = 8, b = d = 9, and the blue angle = 57°, what is the area of this parallelogram?
| 24 | |
| 12 | |
| 72 | |
| 35 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 9
a = 72
Simplify (3a)(9ab) + (8a2)(6b).
| 75ab2 | |
| 75a2b | |
| -21a2b | |
| -21ab2 |
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.
(3a)(9ab) + (8a2)(6b)
(3 x 9)(a x a x b) + (8 x 6)(a2 x b)
(27)(a1+1 x b) + (48)(a2b)
27a2b + 48a2b
75a2b
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
trapezoid |
|
rhombus |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Which of the following statements about a triangle is not true?
sum of interior angles = 180° |
|
exterior angle = sum of two adjacent interior angles |
|
area = ½bh |
|
perimeter = sum of side lengths |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
exponents |
|
addition |
|
division |
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.)