| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
If a = c = 3, b = d = 9, what is the area of this rectangle?
| 27 | |
| 10 | |
| 42 | |
| 8 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 9
a = 27
Simplify (2a)(4ab) + (3a2)(9b).
| 35a2b | |
| -19a2b | |
| 19a2b | |
| 35ab2 |
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.
(2a)(4ab) + (3a2)(9b)
(2 x 4)(a x a x b) + (3 x 9)(a2 x b)
(8)(a1+1 x b) + (27)(a2b)
8a2b + 27a2b
35a2b
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
|
the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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).
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, acute, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for x:
x2 - 14 = -3x + 4
| 3 or -6 | |
| 6 or -6 | |
| 8 or -3 | |
| 4 or 4 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
x2 - 14 = -3x + 4
x2 - 14 - 4 = -3x
x2 + + 3x - 18 = 0
x2 + 3x - 18 = 0
Next, factor the quadratic equation:
x2 + 3x - 18 = 0
(x - 3)(x + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 3) or (x + 6) must equal zero:
If (x - 3) = 0, x must equal 3
If (x + 6) = 0, x must equal -6
So the solution is that x = 3 or -6