| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
Solve -2c + c = c + 2y - 2 for c in terms of y.
| 2y - 3 | |
| -\(\frac{1}{2}\)y - \(\frac{1}{2}\) | |
| -\(\frac{1}{3}\)y + \(\frac{2}{3}\) | |
| \(\frac{8}{13}\)y + \(\frac{7}{13}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-2c + y = c + 2y - 2
-2c = c + 2y - 2 - y
-2c - c = 2y - 2 - y
-3c = y - 2
c = \( \frac{y - 2}{-3} \)
c = \( \frac{y}{-3} \) + \( \frac{-2}{-3} \)
c = -\(\frac{1}{3}\)y + \(\frac{2}{3}\)
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
|
Inside |
|
First |
|
Last |
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.
Find the value of a:
-a + y = 7
2a + 9y = -1
| -2\(\frac{1}{8}\) | |
| 1\(\frac{13}{30}\) | |
| -5\(\frac{9}{11}\) | |
| -1\(\frac{1}{6}\) |
You need to find the value of a so solve the first equation in terms of y:
-a + y = 7
y = 7 + a
then substitute the result (7 - -1a) into the second equation:
2a + 9(7 + a) = -1
2a + (9 x 7) + (9 x a) = -1
2a + 63 + 9a = -1
2a + 9a = -1 - 63
11a = -64
a = \( \frac{-64}{11} \)
a = -5\(\frac{9}{11}\)
What is 7a9 + 6a9?
| 42a18 | |
| a18 | |
| 13a9 | |
| 42a9 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a9 + 6a9 = 13a9
On this circle, line segment CD is the:
chord |
|
diameter |
|
circumference |
|
radius |
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).