Your Results | Global Average | |
---|---|---|
Questions | 5 | 5 |
Correct | 0 | 3.15 |
Score | 0% | 63% |
Solve for b:
-8b + 3 = -6 - 2b
\(\frac{2}{5}\) | |
1\(\frac{1}{2}\) | |
-4 | |
-\(\frac{2}{3}\) |
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 equal sign and the answer on the other.
-8b + 3 = -6 - 2b
-8b = -6 - 2b - 3
-8b + 2b = -6 - 3
-6b = -9
b = \( \frac{-9}{-6} \)
b = 1\(\frac{1}{2}\)
Find the value of a:
-3a + z = -1
3a - 5z = -5
\(\frac{5}{6}\) | |
2\(\frac{1}{17}\) | |
-1\(\frac{10}{19}\) | |
\(\frac{5}{18}\) |
You need to find the value of a so solve the first equation in terms of z:
-3a + z = -1
z = -1 + 3a
then substitute the result (-1 - -3a) into the second equation:
3a - 5(-1 + 3a) = -5
3a + (-5 x -1) + (-5 x 3a) = -5
3a + 5 - 15a = -5
3a - 15a = -5 - 5
-12a = -10
a = \( \frac{-10}{-12} \)
a = \(\frac{5}{6}\)
What is the circumference of a circle with a diameter of 18?
17π | |
8π | |
18π | |
1π |
The formula for circumference is circle diameter x π:
c = πd
c = 18π
If BD = 20 and AD = 25, AB = ?
11 | |
18 | |
7 | |
5 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSimplify (y - 1)(y + 7)
y2 - 6y - 7 | |
y2 + 8y + 7 | |
y2 + 6y - 7 | |
y2 - 8y + 7 |
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:
(y - 1)(y + 7)
(y x y) + (y x 7) + (-1 x y) + (-1 x 7)
y2 + 7y - y - 7
y2 + 6y - 7