| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
A coordinate grid is composed of which of the following?
all of these |
|
y-axis |
|
x-axis |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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the area of a parallelogram is base x height |
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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).
What is the circumference of a circle with a radius of 10?
| 20π | |
| 2π | |
| 16π | |
| 8π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 10)
c = 20π
If c = 1 and x = 5, what is the value of 7c(c - x)?
| -672 | |
| -28 | |
| -64 | |
| 324 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
7c(c - x)
7(1)(1 - 5)
7(1)(-4)
(7)(-4)
-28
Solve for z:
-6z + 1 = \( \frac{z}{-2} \)
| -1\(\frac{17}{47}\) | |
| 6\(\frac{6}{7}\) | |
| -2 | |
| \(\frac{2}{11}\) |
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 equal sign and the answer on the other.
-6z + 1 = \( \frac{z}{-2} \)
-2 x (-6z + 1) = z
(-2 x -6z) + (-2 x 1) = z
12z - 2 = z
12z - 2 - z = 0
12z - z = 2
11z = 2
z = \( \frac{2}{11} \)
z = \(\frac{2}{11}\)