| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
What is the circumference of a circle with a radius of 3?
| 18π | |
| 34π | |
| 6π | |
| 8π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 3)
c = 6π
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).
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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Last |
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Odd |
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First |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
Solve for y:
y2 - y - 35 = -4y + 5
| 8 or -3 | |
| 5 or -8 | |
| 7 or 6 | |
| -1 or -7 |
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:
y2 - y - 35 = -4y + 5
y2 - y - 35 - 5 = -4y
y2 - y + 4y - 40 = 0
y2 + 3y - 40 = 0
Next, factor the quadratic equation:
y2 + 3y - 40 = 0
(y - 5)(y + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 5) or (y + 8) must equal zero:
If (y - 5) = 0, y must equal 5
If (y + 8) = 0, y must equal -8
So the solution is that y = 5 or -8
Simplify (3a)(6ab) - (6a2)(6b).
| 54a2b | |
| -18a2b | |
| 108ab2 | |
| 18ab2 |
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.
(3a)(6ab) - (6a2)(6b)
(3 x 6)(a x a x b) - (6 x 6)(a2 x b)
(18)(a1+1 x b) - (36)(a2b)
18a2b - 36a2b
-18a2b