| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
A(n) __________ is two expressions separated by an equal sign.
problem |
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equation |
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formula |
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expression |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
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quadrilateral |
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trapezoid |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Factor y2 - 7y - 8
| (y + 8)(y - 1) | |
| (y + 8)(y + 1) | |
| (y - 8)(y + 1) | |
| (y - 8)(y - 1) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -8 as well and sum (Inside, Outside) to equal -7. For this problem, those two numbers are -8 and 1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 7y - 8
y2 + (-8 + 1)y + (-8 x 1)
(y - 8)(y + 1)
Simplify 7a x 4b.
| 28a2b2 | |
| 28\( \frac{b}{a} \) | |
| 28\( \frac{a}{b} \) | |
| 28ab |
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.
7a x 4b = (7 x 4) (a x b) = 28ab
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
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π r2h |
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2(π r2) + 2π rh |
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4π r2 |
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.