| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
A quadrilateral is a shape with __________ sides.
3 |
|
5 |
|
4 |
|
2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
\({\Delta y \over \Delta x}\) |
|
slope |
|
x-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
What is the circumference of a circle with a radius of 16?
| 16π | |
| 32π | |
| 6π | |
| 14π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 16)
c = 32π
Simplify (8a)(9ab) + (9a2)(2b).
| 54ab2 | |
| -54ab2 | |
| 54a2b | |
| 90a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(8a)(9ab) + (9a2)(2b)
(8 x 9)(a x a x b) + (9 x 2)(a2 x b)
(72)(a1+1 x b) + (18)(a2b)
72a2b + 18a2b
90a2b
If a = -6 and y = -3, what is the value of -5a(a - y)?
| -90 | |
| 44 | |
| -117 | |
| 0 |
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.)
-5a(a - y)
-5(-6)(-6 + 3)
-5(-6)(-3)
(30)(-3)
-90