| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
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\({\Delta y \over \Delta x}\) |
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slope |
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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.
A(n) __________ is two expressions separated by an equal sign.
formula |
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equation |
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expression |
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problem |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
Solve for x:
-7x - 5 > \( \frac{x}{-1} \)
| x > -2\(\frac{2}{9}\) | |
| x > -\(\frac{54}{71}\) | |
| x > -\(\frac{5}{6}\) | |
| x > 7\(\frac{1}{2}\) |
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.
-7x - 5 > \( \frac{x}{-1} \)
-1 x (-7x - 5) > x
(-1 x -7x) + (-1 x -5) > x
7x + 5 > x
7x + 5 - x > 0
7x - x > -5
6x > -5
x > \( \frac{-5}{6} \)
x > -\(\frac{5}{6}\)
If side x = 9cm, side y = 13cm, and side z = 11cm what is the perimeter of this triangle?
| 35cm | |
| 30cm | |
| 33cm | |
| 29cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 9cm + 13cm + 11cm = 33cm
If a = 6 and x = 5, what is the value of -7a(a - x)?
| 320 | |
| -231 | |
| -42 | |
| 560 |
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.)
-7a(a - x)
-7(6)(6 - 5)
-7(6)(1)
(-42)(1)
-42