| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.49 |
| Score | 0% | 70% |
If a = c = 6, b = d = 7, what is the area of this rectangle?
| 14 | |
| 32 | |
| 42 | |
| 25 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 7
a = 42
Which of the following expressions contains exactly two terms?
monomial |
|
quadratic |
|
polynomial |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If angle a = 41° and angle b = 52° what is the length of angle d?
| 139° | |
| 152° | |
| 148° | |
| 113° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 41° - 52° = 87°
So, d° = 52° + 87° = 139°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 41° = 139°
If b = 4 and y = 1, what is the value of 2b(b - y)?
| 240 | |
| -54 | |
| 24 | |
| -90 |
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.)
2b(b - y)
2(4)(4 - 1)
2(4)(3)
(8)(3)
24
Solve for b:
b2 + 7b - 18 = 0
| 9 or -7 | |
| 2 or -9 | |
| 7 or -5 | |
| 8 or -4 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 + 7b - 18 = 0
(b - 2)(b + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b + 9) must equal zero:
If (b - 2) = 0, b must equal 2
If (b + 9) = 0, b must equal -9
So the solution is that b = 2 or -9