| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
What is 3a6 + 3a6?
| 9a12 | |
| 9a6 | |
| 6a6 | |
| 6 |
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.
3a6 + 3a6 = 6a6
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
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all of these statements are correct |
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you can subtract monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
If a = c = 3, b = d = 5, and the blue angle = 59°, what is the area of this parallelogram?
| 24 | |
| 4 | |
| 15 | |
| 35 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 5
a = 15
Solve for a:
a2 + 4a - 5 = 4a + 4
| 3 or -3 | |
| 5 or -8 | |
| 6 or 4 | |
| -1 or -5 |
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:
a2 + 4a - 5 = 4a + 4
a2 + 4a - 5 - 4 = 4a
a2 + 4a - 4a - 9 = 0
a2 - 9 = 0
Next, factor the quadratic equation:
a2 - 9 = 0
(a - 3)(a + 3) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 3) or (a + 3) must equal zero:
If (a - 3) = 0, a must equal 3
If (a + 3) = 0, a must equal -3
So the solution is that a = 3 or -3
On this circle, a line segment connecting point A to point D is called:
diameter |
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radius |
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chord |
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circumference |
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).