| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
What is 8a - 5a?
| 13a2 | |
| 40a2 | |
| 40a | |
| 3a |
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.
8a - 5a = 3a
Solve for b:
8b + 6 > \( \frac{b}{1} \)
| b > -\(\frac{12}{31}\) | |
| b > -\(\frac{24}{25}\) | |
| b > \(\frac{18}{43}\) | |
| b > -\(\frac{6}{7}\) |
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.
8b + 6 > \( \frac{b}{1} \)
1 x (8b + 6) > b
(1 x 8b) + (1 x 6) > b
8b + 6 > b
8b + 6 - b > 0
8b - b > -6
7b > -6
b > \( \frac{-6}{7} \)
b > -\(\frac{6}{7}\)
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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a parallelogram is a quadrilateral |
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opposite sides and adjacent angles are equal |
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).
Solve for y:
y2 - 3y - 28 = 0
| 8 or -2 | |
| -4 or 7 | |
| -2 or -5 | |
| 7 or -3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 3y - 28 = 0
(y + 4)(y - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 4) or (y - 7) must equal zero:
If (y + 4) = 0, y must equal -4
If (y - 7) = 0, y must equal 7
So the solution is that y = -4 or 7
If side x = 9cm, side y = 11cm, and side z = 9cm what is the perimeter of this triangle?
| 25cm | |
| 34cm | |
| 27cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 11cm + 9cm = 29cm