| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.92 |
| Score | 0% | 58% |
A coordinate grid is composed of which of the following?
origin |
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y-axis |
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x-axis |
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all of these |
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.
If b = -1 and z = -2, what is the value of -6b(b - z)?
| 6 | |
| -294 | |
| 56 | |
| -96 |
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.)
-6b(b - z)
-6(-1)(-1 + 2)
-6(-1)(1)
(6)(1)
6
Find the value of c:
c + y = 5
-7c + 6y = -6
| 6\(\frac{2}{9}\) | |
| 2\(\frac{9}{13}\) | |
| -27 | |
| 2\(\frac{10}{13}\) |
You need to find the value of c so solve the first equation in terms of y:
c + y = 5
y = 5 - c
then substitute the result (5 - 1c) into the second equation:
-7c + 6(5 - c) = -6
-7c + (6 x 5) + (6 x -c) = -6
-7c + 30 - 6c = -6
-7c - 6c = -6 - 30
-13c = -36
c = \( \frac{-36}{-13} \)
c = 2\(\frac{10}{13}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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rhombus |
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trapezoid |
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triangle |
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 required to define the slope-intercept equation for a line?
y-intercept |
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slope |
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\({\Delta y \over \Delta x}\) |
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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.