| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
If b = -1 and z = -9, what is the value of -6b(b - z)?
| 96 | |
| 48 | |
| -144 | |
| -816 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
-6b(b - z)
-6(-1)(-1 + 9)
-6(-1)(8)
(6)(8)
48
Simplify (y + 7)(y - 3)
| y2 + 10y + 21 | |
| y2 + 4y - 21 | |
| y2 - 10y + 21 | |
| y2 - 4y - 21 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 7)(y - 3)
(y x y) + (y x -3) + (7 x y) + (7 x -3)
y2 - 3y + 7y - 21
y2 + 4y - 21
Solve for a:
a2 + 7a - 11 = 2a + 3
| -6 or -8 | |
| 9 or 3 | |
| 6 or -9 | |
| 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:
a2 + 7a - 11 = 2a + 3
a2 + 7a - 11 - 3 = 2a
a2 + 7a - 2a - 14 = 0
a2 + 5a - 14 = 0
Next, factor the quadratic equation:
a2 + 5a - 14 = 0
(a - 2)(a + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 2) or (a + 7) must equal zero:
If (a - 2) = 0, a must equal 2
If (a + 7) = 0, a must equal -7
So the solution is that a = 2 or -7
If the base of this triangle is 2 and the height is 7, what is the area?
| 25 | |
| 112\(\frac{1}{2}\) | |
| 90 | |
| 7 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 2 x 7 = \( \frac{14}{2} \) = 7
Which of the following expressions contains exactly two terms?
polynomial |
|
binomial |
|
monomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.