| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.54 |
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Solve for x:
x2 - 2x - 63 = 0
| 2 or 1 | |
| -3 or -8 | |
| -4 or -8 | |
| -7 or 9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 - 2x - 63 = 0
(x + 7)(x - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 7) or (x - 9) must equal zero:
If (x + 7) = 0, x must equal -7
If (x - 9) = 0, x must equal 9
So the solution is that x = -7 or 9
Simplify 2a x 6b.
| 8ab | |
| 12\( \frac{b}{a} \) | |
| 12\( \frac{a}{b} \) | |
| 12ab |
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 x 6b = (2 x 6) (a x b) = 12ab
On this circle, line segment AB is the:
circumference |
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chord |
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diameter |
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radius |
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).
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
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π r2h2 |
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2(π r2) + 2π rh |
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π r2h |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
A quadrilateral is a shape with __________ sides.
3 |
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5 |
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4 |
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2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.