| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Solve for c:
c2 - 5c + 23 = 5c - 1
| -7 or -8 | |
| 4 or 6 | |
| -6 or -9 | |
| -8 or -9 |
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:
c2 - 5c + 23 = 5c - 1
c2 - 5c + 23 + 1 = 5c
c2 - 5c - 5c + 24 = 0
c2 - 10c + 24 = 0
Next, factor the quadratic equation:
c2 - 10c + 24 = 0
(c - 4)(c - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 4) or (c - 6) must equal zero:
If (c - 4) = 0, c must equal 4
If (c - 6) = 0, c must equal 6
So the solution is that c = 4 or 6
Which of the following expressions contains exactly two terms?
polynomial |
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binomial |
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quadratic |
|
monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
What is 8a5 - 7a5?
| 56a10 | |
| 56a5 | |
| 1a5 | |
| 15 |
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.
8a5 - 7a5 = 1a5
What is the circumference of a circle with a radius of 6?
| 2π | |
| 34π | |
| 6π | |
| 12π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 6)
c = 12π
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral, isosceles and right |
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isosceles and right |
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equilateral and isosceles |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.