| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.61 |
| Score | 0% | 72% |
If a = 5, b = 6, c = 7, and d = 4, what is the perimeter of this quadrilateral?
| 22 | |
| 13 | |
| 19 | |
| 23 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 5 + 6 + 7 + 4
p = 22
Which of the following expressions contains exactly two terms?
monomial |
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polynomial |
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binomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If side a = 7, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{53} \) | |
| \( \sqrt{40} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{80} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 72 + 62
c2 = 49 + 36
c2 = 85
c = \( \sqrt{85} \)
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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addition |
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exponents |
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pairs |
When solving an equation with two variables, 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.)
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
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same-side interior angles are complementary and equal each other |
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all of the angles formed by a transversal are called interior angles |
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angles in the same position on different parallel lines are called corresponding angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).