| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
Solve -2c - 5c = -6c - 7y + 4 for c in terms of y.
| -\(\frac{1}{2}\)y + 1 | |
| -3y + \(\frac{2}{5}\) | |
| \(\frac{1}{8}\)y + 1\(\frac{1}{8}\) | |
| \(\frac{1}{2}\)y - 2 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-2c - 5y = -6c - 7y + 4
-2c = -6c - 7y + 4 + 5y
-2c + 6c = -7y + 4 + 5y
4c = -2y + 4
c = \( \frac{-2y + 4}{4} \)
c = \( \frac{-2y}{4} \) + \( \frac{4}{4} \)
c = -\(\frac{1}{2}\)y + 1
If angle a = 34° and angle b = 40° what is the length of angle d?
| 110° | |
| 158° | |
| 146° | |
| 160° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 34° - 40° = 106°
So, d° = 40° + 106° = 146°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 34° = 146°
What is 8a - 7a?
| 15 | |
| a2 | |
| 1a | |
| 56a2 |
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.
8a - 7a = 1a
If side x = 10cm, side y = 8cm, and side z = 15cm what is the perimeter of this triangle?
| 25cm | |
| 33cm | |
| 43cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 10cm + 8cm + 15cm = 33cm
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
|
the area is length x width |
|
the perimeter is the sum of the lengths of all four sides |
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the lengths of all sides are equal |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).