| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
What is 4a2 - 6a2?
| -2a2 | |
| 10 | |
| -2a4 | |
| 24a2 |
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.
4a2 - 6a2 = -2a2
Solve for b:
5b - 7 < \( \frac{b}{-7} \)
| b < -2\(\frac{2}{3}\) | |
| b < 1\(\frac{13}{36}\) | |
| b < -\(\frac{7}{27}\) | |
| b < 1\(\frac{17}{39}\) |
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.
5b - 7 < \( \frac{b}{-7} \)
-7 x (5b - 7) < b
(-7 x 5b) + (-7 x -7) < b
-35b + 49 < b
-35b + 49 - b < 0
-35b - b < -49
-36b < -49
b < \( \frac{-49}{-36} \)
b < 1\(\frac{13}{36}\)
Solve for x:
x2 + 8x + 16 = 0
| -4 | |
| 7 or 6 | |
| 9 or -2 | |
| 8 or 5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 8x + 16 = 0
(x + 4)(x + 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (x + 4) must equal zero:
If (x + 4) = 0, x must equal -4
So the solution is that x = -4
If angle a = 23° and angle b = 36° what is the length of angle c?
| 79° | |
| 121° | |
| 85° | |
| 78° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 23° - 36° = 121°
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
|
opposite sides and adjacent angles are equal |
|
the area of a parallelogram is base x height |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).