| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
On this circle, line segment AB is the:
radius |
|
circumference |
|
chord |
|
diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Solve for z:
6z + 4 > \( \frac{z}{8} \)
| z > -3 | |
| z > -\(\frac{32}{47}\) | |
| z > 2\(\frac{8}{11}\) | |
| z > 2\(\frac{11}{35}\) |
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.
6z + 4 > \( \frac{z}{8} \)
8 x (6z + 4) > z
(8 x 6z) + (8 x 4) > z
48z + 32 > z
48z + 32 - z > 0
48z - z > -32
47z > -32
z > \( \frac{-32}{47} \)
z > -\(\frac{32}{47}\)
On this circle, line segment CD is the:
radius |
|
diameter |
|
circumference |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Simplify (y - 7)(y + 1)
| y2 + 8y + 7 | |
| y2 - 6y - 7 | |
| y2 + 6y - 7 | |
| y2 - 8y + 7 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 7)(y + 1)
(y x y) + (y x 1) + (-7 x y) + (-7 x 1)
y2 + y - 7y - 7
y2 - 6y - 7
Which of the following statements about math operations is incorrect?
you can add monomials that have the same variable and the same exponent |
|
you can subtract monomials that have the same variable and the same exponent |
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you can multiply monomials that have different variables and different exponents |
|
all of these statements are correct |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.