| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is 9a - 3a?
| 27a | |
| 6a | |
| 12a2 | |
| 12 |
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.
9a - 3a = 6a
A right angle measures:
45° |
|
180° |
|
360° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Solve for a:
-8a + 6 < \( \frac{a}{-6} \)
| a < -2\(\frac{1}{13}\) | |
| a < \(\frac{36}{47}\) | |
| a < 1\(\frac{1}{2}\) | |
| a < 1\(\frac{3}{17}\) |
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.
-8a + 6 < \( \frac{a}{-6} \)
-6 x (-8a + 6) < a
(-6 x -8a) + (-6 x 6) < a
48a - 36 < a
48a - 36 - a < 0
48a - a < 36
47a < 36
a < \( \frac{36}{47} \)
a < \(\frac{36}{47}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
|
quadrilateral |
|
rhombus |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Which of the following is not true about both rectangles and squares?
the area is length x width |
|
the lengths of all sides are equal |
|
all interior angles are right angles |
|
the perimeter is the sum of the lengths of all four sides |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).