| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.57 |
| Score | 0% | 71% |
If a = 9 and z = 8, what is the value of -3a(a - z)?
| 56 | |
| -175 | |
| 0 | |
| -27 |
To solve this equation, 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.)
-3a(a - z)
-3(9)(9 - 8)
-3(9)(1)
(-27)(1)
-27
Solve for a:
3a + 3 < 4 - 8a
| a < -3\(\frac{1}{2}\) | |
| a < \(\frac{1}{11}\) | |
| a < -\(\frac{1}{9}\) | |
| a < \(\frac{4}{9}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
3a + 3 < 4 - 8a
3a < 4 - 8a - 3
3a + 8a < 4 - 3
11a < 1
a < \( \frac{1}{11} \)
a < \(\frac{1}{11}\)
Which of the following expressions contains exactly two terms?
binomial |
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monomial |
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polynomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Breaking apart a quadratic expression into a pair of binomials is called:
squaring |
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normalizing |
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factoring |
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deconstructing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
The formula for the area of a circle is which of the following?
a = π r2 |
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a = π d |
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a = π d2 |
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a = π r |
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.