| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
Solve for a:
a - 3 = \( \frac{a}{5} \)
| 3\(\frac{3}{4}\) | |
| \(\frac{1}{2}\) | |
| 1\(\frac{9}{31}\) | |
| -1\(\frac{1}{9}\) |
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.
a - 3 = \( \frac{a}{5} \)
5 x (a - 3) = a
(5 x a) + (5 x -3) = a
5a - 15 = a
5a - 15 - a = 0
5a - a = 15
4a = 15
a = \( \frac{15}{4} \)
a = 3\(\frac{3}{4}\)
What is the circumference of a circle with a diameter of 5?
| 5π | |
| 14π | |
| 10π | |
| 12π |
The formula for circumference is circle diameter x π:
c = πd
c = 5π
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
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you can subtract monomials that have the same variable and the same exponent |
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all of these statements are correct |
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you can add monomials that have the same variable and the same exponent |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.
If AD = 30 and BD = 23, AB = ?
| 8 | |
| 17 | |
| 4 | |
| 7 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for x:
x2 + 9x + 11 = -x + 2
| 4 or 1 | |
| 9 or 2 | |
| -1 or -9 | |
| 4 or -8 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
x2 + 9x + 11 = -x + 2
x2 + 9x + 11 - 2 = -x
x2 + 9x + x + 9 = 0
x2 + 10x + 9 = 0
Next, factor the quadratic equation:
x2 + 10x + 9 = 0
(x + 1)(x + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 1) or (x + 9) must equal zero:
If (x + 1) = 0, x must equal -1
If (x + 9) = 0, x must equal -9
So the solution is that x = -1 or -9