| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
What is 5a5 + 9a5?
| 14a5 | |
| 45a10 | |
| -4a10 | |
| 45a5 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a5 + 9a5 = 14a5
What is the area of a circle with a diameter of 10?
| 9π | |
| 4π | |
| 49π | |
| 25π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π
A(n) __________ is two expressions separated by an equal sign.
equation |
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formula |
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problem |
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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.
Simplify (5a)(2ab) + (5a2)(5b).
| 35a2b | |
| 15a2b | |
| 35ab2 | |
| -15a2b |
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.
(5a)(2ab) + (5a2)(5b)
(5 x 2)(a x a x b) + (5 x 5)(a2 x b)
(10)(a1+1 x b) + (25)(a2b)
10a2b + 25a2b
35a2b
On this circle, a line segment connecting point A to point D is called:
circumference |
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radius |
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diameter |
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chord |
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).