| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
Solve for y:
-4y - 9 = -4 - 5y
| 1\(\frac{3}{5}\) | |
| 1\(\frac{1}{4}\) | |
| 1\(\frac{1}{6}\) | |
| 5 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-4y - 9 = -4 - 5y
-4y = -4 - 5y + 9
-4y + 5y = -4 + 9
y = 5
If angle a = 70° and angle b = 63° what is the length of angle d?
| 147° | |
| 135° | |
| 110° | |
| 120° |
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° - 70° - 63° = 47°
So, d° = 63° + 47° = 110°
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° - 70° = 110°
Solve for c:
9c + 5 < \( \frac{c}{-5} \)
| c < \(\frac{24}{31}\) | |
| c < -\(\frac{25}{46}\) | |
| c < \(\frac{5}{13}\) | |
| c < -2\(\frac{14}{17}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
9c + 5 < \( \frac{c}{-5} \)
-5 x (9c + 5) < c
(-5 x 9c) + (-5 x 5) < c
-45c - 25 < c
-45c - 25 - c < 0
-45c - c < 25
-46c < 25
c < \( \frac{25}{-46} \)
c < -\(\frac{25}{46}\)
What is the area of a circle with a diameter of 6?
| 64π | |
| 9π | |
| 16π | |
| 81π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
|
addition |
|
pairs |
|
division |
When solving an equation with two variables, 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.)