| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
What is 9a5 + 6a5?
| 3 | |
| 54a5 | |
| 15a5 | |
| 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.
9a5 + 6a5 = 15a5
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
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.
What is the area of a circle with a radius of 4?
| 49π | |
| 8π | |
| 5π | |
| 16π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π
Solve for x:
x2 - 15x + 24 = -5x - 1
| -1 or -4 | |
| -4 or -8 | |
| -3 or -9 | |
| 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:
x2 - 15x + 24 = -5x - 1
x2 - 15x + 24 + 1 = -5x
x2 - 15x + 5x + 25 = 0
x2 - 10x + 25 = 0
Next, factor the quadratic equation:
x2 - 10x + 25 = 0
(x - 5)(x - 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (x - 5) must equal zero:
If (x - 5) = 0, x must equal 5
So the solution is that x = 5