| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
Solve for a:
7a - 7 < \( \frac{a}{8} \)
| a < 4\(\frac{3}{8}\) | |
| a < 1\(\frac{1}{55}\) | |
| a < 1\(\frac{4}{17}\) | |
| a < -4\(\frac{1}{2}\) |
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.
7a - 7 < \( \frac{a}{8} \)
8 x (7a - 7) < a
(8 x 7a) + (8 x -7) < a
56a - 56 < a
56a - 56 - a < 0
56a - a < 56
55a < 56
a < \( \frac{56}{55} \)
a < 1\(\frac{1}{55}\)
What is 8a9 + 5a9?
| a918 | |
| 13a9 | |
| 3a18 | |
| 40a18 |
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.
8a9 + 5a9 = 13a9
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
|
opposite sides and adjacent angles are equal |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
|
the area of a parallelogram is base x height |
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).
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
rhombus |
|
trapezoid |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
If a = c = 7, b = d = 5, what is the area of this rectangle?
| 63 | |
| 35 | |
| 18 | |
| 45 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 5
a = 35