| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
What is 7a + 8a?
| 15a2 | |
| 56a | |
| 15a | |
| -1 |
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.
7a + 8a = 15a
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
|
First |
|
Last |
|
Odd |
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.
Solve for b:
b2 - 6b + 3 = b - 3
| 1 or 6 | |
| 8 or -3 | |
| 3 or -8 | |
| 8 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:
b2 - 6b + 3 = b - 3
b2 - 6b + 3 + 3 = b
b2 - 6b - b + 6 = 0
b2 - 7b + 6 = 0
Next, factor the quadratic equation:
b2 - 7b + 6 = 0
(b - 1)(b - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 1) or (b - 6) must equal zero:
If (b - 1) = 0, b must equal 1
If (b - 6) = 0, b must equal 6
So the solution is that b = 1 or 6
If a = c = 3, b = d = 8, and the blue angle = 73°, what is the area of this parallelogram?
| 7 | |
| 2 | |
| 24 | |
| 3 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 8
a = 24
The dimensions of this cube are height (h) = 7, length (l) = 6, and width (w) = 9. What is the surface area?
| 22 | |
| 150 | |
| 124 | |
| 318 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 6 x 9) + (2 x 9 x 7) + (2 x 6 x 7)
sa = (108) + (126) + (84)
sa = 318