| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.78 |
| Score | 0% | 76% |
Which of the following expressions contains exactly two terms?
quadratic |
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binomial |
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monomial |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for b:
b2 - 4b - 59 = -5b - 3
| 4 or -7 | |
| 7 or -8 | |
| -1 or -8 | |
| -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:
b2 - 4b - 59 = -5b - 3
b2 - 4b - 59 + 3 = -5b
b2 - 4b + 5b - 56 = 0
b2 + b - 56 = 0
Next, factor the quadratic equation:
b2 + b - 56 = 0
(b - 7)(b + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 7) or (b + 8) must equal zero:
If (b - 7) = 0, b must equal 7
If (b + 8) = 0, b must equal -8
So the solution is that b = 7 or -8
A right angle measures:
90° |
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45° |
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180° |
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360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
The formula for the area of a circle is which of the following?
a = π d |
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a = π r2 |
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a = π r |
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a = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
What is 5a + 6a?
| -a2 | |
| 30a | |
| 11a2 | |
| 11a |
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.
5a + 6a = 11a