| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.33 |
| Score | 0% | 67% |
Solve for x:
x - 3 > \( \frac{x}{-1} \)
| x > 1\(\frac{1}{2}\) | |
| x > -1\(\frac{25}{39}\) | |
| x > 9\(\frac{1}{3}\) | |
| x > -\(\frac{1}{3}\) |
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.
x - 3 > \( \frac{x}{-1} \)
-1 x (x - 3) > x
(-1 x x) + (-1 x -3) > x
-x + 3 > x
-x + 3 - x > 0
-x - x > -3
-2x > -3
x > \( \frac{-3}{-2} \)
x > 1\(\frac{1}{2}\)
What is 3a5 - 4a5?
| 7 | |
| -1a5 | |
| a510 | |
| 12a5 |
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.
3a5 - 4a5 = -1a5
What is the circumference of a circle with a radius of 13?
| 26π | |
| 11π | |
| 10π | |
| 34π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 13)
c = 26π
If side x = 9cm, side y = 10cm, and side z = 12cm what is the perimeter of this triangle?
| 28cm | |
| 21cm | |
| 31cm | |
| 34cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 10cm + 12cm = 31cm
Simplify (y + 3)(y + 9)
| y2 - 6y - 27 | |
| y2 + 12y + 27 | |
| y2 - 12y + 27 | |
| y2 + 6y - 27 |
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 + 3)(y + 9)
(y x y) + (y x 9) + (3 x y) + (3 x 9)
y2 + 9y + 3y + 27
y2 + 12y + 27