| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
If side x = 7cm, side y = 14cm, and side z = 14cm what is the perimeter of this triangle?
| 26cm | |
| 35cm | |
| 28cm | |
| 24cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 7cm + 14cm + 14cm = 35cm
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
|
sum of interior angles = 180° |
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area = ½bh |
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exterior angle = sum of two adjacent interior angles |
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.
If a = -7 and x = -4, what is the value of -a(a - x)?
| 210 | |
| -21 | |
| -16 | |
| -120 |
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.)
-a(a - x)
-1(-7)(-7 + 4)
-1(-7)(-3)
(7)(-3)
-21
The dimensions of this cube are height (h) = 1, length (l) = 6, and width (w) = 8. What is the surface area?
| 318 | |
| 154 | |
| 124 | |
| 246 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 8) + (2 x 8 x 1) + (2 x 6 x 1)
sa = (96) + (16) + (12)
sa = 124
Simplify (6a)(4ab) + (3a2)(7b).
| -3ab2 | |
| 100ab2 | |
| 100a2b | |
| 45a2b |
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.
(6a)(4ab) + (3a2)(7b)
(6 x 4)(a x a x b) + (3 x 7)(a2 x b)
(24)(a1+1 x b) + (21)(a2b)
24a2b + 21a2b
45a2b