| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.37 |
| Score | 0% | 67% |
What is 8a3 - 4a3?
| 4a3 | |
| 4a6 | |
| 4 | |
| a36 |
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.
8a3 - 4a3 = 4a3
Solve for c:
c2 - 2c - 26 = -3c + 4
| 9 or -1 | |
| 5 or -6 | |
| 8 or 1 | |
| 8 or -5 |
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 - 2c - 26 = -3c + 4
c2 - 2c - 26 - 4 = -3c
c2 - 2c + 3c - 30 = 0
c2 + c - 30 = 0
Next, factor the quadratic equation:
c2 + c - 30 = 0
(c - 5)(c + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 5) or (c + 6) must equal zero:
If (c - 5) = 0, c must equal 5
If (c + 6) = 0, c must equal -6
So the solution is that c = 5 or -6
If the base of this triangle is 5 and the height is 6, what is the area?
| 67\(\frac{1}{2}\) | |
| 54 | |
| 15 | |
| 50 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 5 x 6 = \( \frac{30}{2} \) = 15
If angle a = 61° and angle b = 62° what is the length of angle c?
| 58° | |
| 101° | |
| 107° | |
| 57° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 61° - 62° = 57°
Simplify 7a x 6b.
| 42ab | |
| 42\( \frac{b}{a} \) | |
| 42a2b2 | |
| 13ab |
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.
7a x 6b = (7 x 6) (a x b) = 42ab