| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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the area is length x width |
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the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Simplify (8a)(7ab) - (6a2)(9b).
| 225a2b | |
| 110a2b | |
| -2ab2 | |
| 2a2b |
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)(7ab) - (6a2)(9b)
(8 x 7)(a x a x b) - (6 x 9)(a2 x b)
(56)(a1+1 x b) - (54)(a2b)
56a2b - 54a2b
2a2b
On this circle, line segment CD is the:
chord |
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diameter |
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radius |
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circumference |
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).
What is the circumference of a circle with a diameter of 5?
| 5π | |
| 9π | |
| 34π | |
| 3π |
The formula for circumference is circle diameter x π:
c = πd
c = 5π
Solve for y:
8y - 1 > -4 - 3y
| y > 1\(\frac{1}{8}\) | |
| y > -\(\frac{3}{11}\) | |
| y > \(\frac{2}{3}\) | |
| y > 2\(\frac{1}{2}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
8y - 1 > -4 - 3y
8y > -4 - 3y + 1
8y + 3y > -4 + 1
11y > -3
y > \( \frac{-3}{11} \)
y > -\(\frac{3}{11}\)