| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
Solve for b:
b2 + 3b + 10 = -3b + 5
| -7 or -8 | |
| 7 or 7 | |
| -1 or -5 | |
| 3 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:
b2 + 3b + 10 = -3b + 5
b2 + 3b + 10 - 5 = -3b
b2 + 3b + 3b + 5 = 0
b2 + 6b + 5 = 0
Next, factor the quadratic equation:
b2 + 6b + 5 = 0
(b + 1)(b + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b + 5) must equal zero:
If (b + 1) = 0, b must equal -1
If (b + 5) = 0, b must equal -5
So the solution is that b = -1 or -5
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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parallel |
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equal length |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
What is the area of a circle with a radius of 5?
| 9π | |
| 49π | |
| 25π | |
| 7π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
The dimensions of this cube are height (h) = 6, length (l) = 5, and width (w) = 6. What is the volume?
| 100 | |
| 486 | |
| 180 | |
| 60 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 5 x 6
v = 180
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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exponents |
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pairs |
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addition |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)