| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
Find the value of c:
6c + z = 3
7c - 4z = -1
| 1\(\frac{5}{8}\) | |
| 1\(\frac{16}{45}\) | |
| \(\frac{11}{31}\) | |
| -\(\frac{10}{27}\) |
You need to find the value of c so solve the first equation in terms of z:
6c + z = 3
z = 3 - 6c
then substitute the result (3 - 6c) into the second equation:
7c - 4(3 - 6c) = -1
7c + (-4 x 3) + (-4 x -6c) = -1
7c - 12 + 24c = -1
7c + 24c = -1 + 12
31c = 11
c = \( \frac{11}{31} \)
c = \(\frac{11}{31}\)
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.
The formula for the area of a circle is which of the following?
a = π r |
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a = π d |
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a = π r2 |
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a = π d2 |
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.
A quadrilateral is a shape with __________ sides.
5 |
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2 |
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3 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
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all acute angles equal each other |
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all of the angles formed by a transversal are called interior angles |
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same-side interior angles are complementary and equal each other |
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°).