| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
On this circle, a line segment connecting point A to point D is called:
radius |
|
circumference |
|
chord |
|
diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
If the base of this triangle is 7 and the height is 5, what is the area?
| 70 | |
| 48 | |
| 17\(\frac{1}{2}\) | |
| 30 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 5 = \( \frac{35}{2} \) = 17\(\frac{1}{2}\)
Which of the following statements about a parallelogram is not true?
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
the area of a parallelogram is base x height |
|
opposite sides and adjacent angles are equal |
|
a parallelogram is a quadrilateral |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Simplify (7a)(3ab) + (3a2)(6b).
| -3ab2 | |
| -3a2b | |
| 39a2b | |
| 90ab2 |
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.
(7a)(3ab) + (3a2)(6b)
(7 x 3)(a x a x b) + (3 x 6)(a2 x b)
(21)(a1+1 x b) + (18)(a2b)
21a2b + 18a2b
39a2b
If a = 1 and x = -7, what is the value of -8a(a - x)?
| -128 | |
| 12 | |
| -40 | |
| -64 |
To solve this equation, 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.)
-8a(a - x)
-8(1)(1 + 7)
-8(1)(8)
(-8)(8)
-64