| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
If a = c = 5, b = d = 4, what is the area of this rectangle?
| 36 | |
| 6 | |
| 20 | |
| 63 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 4
a = 20
A coordinate grid is composed of which of the following?
origin |
|
all of these |
|
x-axis |
|
y-axis |
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.
Find the value of c:
-3c + z = 2
8c - 2z = 8
| \(\frac{19}{32}\) | |
| -3 | |
| -\(\frac{23}{32}\) | |
| 6 |
You need to find the value of c so solve the first equation in terms of z:
-3c + z = 2
z = 2 + 3c
then substitute the result (2 - -3c) into the second equation:
8c - 2(2 + 3c) = 8
8c + (-2 x 2) + (-2 x 3c) = 8
8c - 4 - 6c = 8
8c - 6c = 8 + 4
2c = 12
c = \( \frac{12}{2} \)
c = 6
Simplify (8a)(5ab) - (5a2)(3b).
| 55ab2 | |
| 25a2b | |
| 104a2b | |
| 55a2b |
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)(5ab) - (5a2)(3b)
(8 x 5)(a x a x b) - (5 x 3)(a2 x b)
(40)(a1+1 x b) - (15)(a2b)
40a2b - 15a2b
25a2b
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
slope |
|
\({\Delta y \over \Delta x}\) |
|
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.