| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
If angle a = 40° and angle b = 66° what is the length of angle c?
| 112° | |
| 79° | |
| 74° | |
| 48° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 40° - 66° = 74°
Solve for x:
x2 + 11x + 4 = 4x - 2
| 9 or -7 | |
| 1 or -7 | |
| -1 or -6 | |
| -2 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:
x2 + 11x + 4 = 4x - 2
x2 + 11x + 4 + 2 = 4x
x2 + 11x - 4x + 6 = 0
x2 + 7x + 6 = 0
Next, factor the quadratic equation:
x2 + 7x + 6 = 0
(x + 1)(x + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 1) or (x + 6) must equal zero:
If (x + 1) = 0, x must equal -1
If (x + 6) = 0, x must equal -6
So the solution is that x = -1 or -6
If a = 7, b = 2, c = 4, and d = 2, what is the perimeter of this quadrilateral?
| 15 | |
| 21 | |
| 28 | |
| 24 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 2 + 4 + 2
p = 15
If the base of this triangle is 7 and the height is 5, what is the area?
| 17\(\frac{1}{2}\) | |
| 60 | |
| 25 | |
| 90 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 5 = \( \frac{35}{2} \) = 17\(\frac{1}{2}\)
What is 5a + 9a?
| a2 | |
| -4 | |
| 45a | |
| 14a |
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.
5a + 9a = 14a