| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.34 |
| Score | 0% | 67% |
Simplify 4a x 2b.
| 6ab | |
| 8\( \frac{b}{a} \) | |
| 8ab | |
| 8\( \frac{a}{b} \) |
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.
4a x 2b = (4 x 2) (a x b) = 8ab
Solve for y:
y2 + 4y - 45 = 0
| 5 or -9 | |
| 4 or -3 | |
| 3 or -1 | |
| -2 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 + 4y - 45 = 0
(y - 5)(y + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 5) or (y + 9) must equal zero:
If (y - 5) = 0, y must equal 5
If (y + 9) = 0, y must equal -9
So the solution is that y = 5 or -9
The dimensions of this trapezoid are a = 5, b = 3, c = 6, d = 2, and h = 4. What is the area?
| 10 | |
| 12 | |
| 13\(\frac{1}{2}\) | |
| 32 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(3 + 2)(4)
a = ½(5)(4)
a = ½(20) = \( \frac{20}{2} \)
a = 10
If the length of AB equals the length of BD, point B __________ this line segment.
trisects |
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intersects |
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bisects |
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midpoints |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.
A quadrilateral is a shape with __________ sides.
4 |
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5 |
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2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.