| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
A quadrilateral is a shape with __________ sides.
2 |
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5 |
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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.
Solve -2a - 2a = -4a - 3z + 3 for a in terms of z.
| -\(\frac{1}{2}\)z + 1\(\frac{1}{2}\) | |
| -1\(\frac{1}{4}\)z + \(\frac{1}{3}\) | |
| -3\(\frac{1}{2}\)z + \(\frac{1}{2}\) | |
| -\(\frac{7}{9}\)z + \(\frac{1}{3}\) |
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.
-2a - 2z = -4a - 3z + 3
-2a = -4a - 3z + 3 + 2z
-2a + 4a = -3z + 3 + 2z
2a = -z + 3
a = \( \frac{-z + 3}{2} \)
a = \( \frac{-z}{2} \) + \( \frac{3}{2} \)
a = -\(\frac{1}{2}\)z + 1\(\frac{1}{2}\)
Which of the following expressions contains exactly two terms?
binomial |
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polynomial |
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monomial |
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quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for c:
c2 + 7c - 23 = 4c - 5
| 3 or -6 | |
| 4 or -5 | |
| -5 or -6 | |
| -3 or -7 |
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 + 7c - 23 = 4c - 5
c2 + 7c - 23 + 5 = 4c
c2 + 7c - 4c - 18 = 0
c2 + 3c - 18 = 0
Next, factor the quadratic equation:
c2 + 3c - 18 = 0
(c - 3)(c + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 3) or (c + 6) must equal zero:
If (c - 3) = 0, c must equal 3
If (c + 6) = 0, c must equal -6
So the solution is that c = 3 or -6
A right angle measures:
45° |
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360° |
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90° |
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180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.