| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
If angle a = 60° and angle b = 23° what is the length of angle c?
| 84° | |
| 108° | |
| 97° | |
| 104° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 23° = 97°
Solve for y:
y2 - y - 17 = -2y - 5
| 7 or 5 | |
| 3 or -4 | |
| 7 or -7 | |
| 5 or -6 |
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:
y2 - y - 17 = -2y - 5
y2 - y - 17 + 5 = -2y
y2 - y + 2y - 12 = 0
y2 + y - 12 = 0
Next, factor the quadratic equation:
y2 + y - 12 = 0
(y - 3)(y + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 3) or (y + 4) must equal zero:
If (y - 3) = 0, y must equal 3
If (y + 4) = 0, y must equal -4
So the solution is that y = 3 or -4
Simplify (2a)(5ab) - (5a2)(7b).
| 84a2b | |
| 84ab2 | |
| -25a2b | |
| 25ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(2a)(5ab) - (5a2)(7b)
(2 x 5)(a x a x b) - (5 x 7)(a2 x b)
(10)(a1+1 x b) - (35)(a2b)
10a2b - 35a2b
-25a2b
If a = c = 9, b = d = 2, and the blue angle = 67°, what is the area of this parallelogram?
| 18 | |
| 9 | |
| 16 | |
| 45 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 2
a = 18
Simplify (5a)(7ab) + (3a2)(8b).
| 132ab2 | |
| 59a2b | |
| 132a2b | |
| -11a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(5a)(7ab) + (3a2)(8b)
(5 x 7)(a x a x b) + (3 x 8)(a2 x b)
(35)(a1+1 x b) + (24)(a2b)
35a2b + 24a2b
59a2b