| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
A(n) __________ is two expressions separated by an equal sign.
formula |
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equation |
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expression |
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problem |
An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
Solve 4a + 8a = -4a + 8x - 7 for a in terms of x.
| x - \(\frac{7}{8}\) | |
| 1\(\frac{7}{10}\)x - \(\frac{3}{5}\) | |
| -19x - 6 | |
| -2x + 1 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
4a + 8x = -4a + 8x - 7
4a = -4a + 8x - 7 - 8x
4a + 4a = 8x - 7 - 8x
8a = - 7
a = \( \frac{ - 7}{8} \)
a = \( \frac{}{8} \) + \( \frac{-7}{8} \)
a = x - \(\frac{7}{8}\)
What is the circumference of a circle with a radius of 8?
| 16π | |
| 15π | |
| 2π | |
| 18π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 8)
c = 16π
If c = -8 and x = -6, what is the value of -5c(c - x)?
| 84 | |
| -15 | |
| 220 | |
| -80 |
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.)
-5c(c - x)
-5(-8)(-8 + 6)
-5(-8)(-2)
(40)(-2)
-80
Which of the following expressions contains exactly two terms?
monomial |
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binomial |
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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.