| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
If BD = 13 and AD = 18, AB = ?
| 12 | |
| 7 | |
| 10 | |
| 5 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for a:
a2 + 3a - 29 = 2a + 1
| 8 or 2 | |
| -2 or -7 | |
| 4 or -2 | |
| 5 or -6 |
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:
a2 + 3a - 29 = 2a + 1
a2 + 3a - 29 - 1 = 2a
a2 + 3a - 2a - 30 = 0
a2 + a - 30 = 0
Next, factor the quadratic equation:
a2 + a - 30 = 0
(a - 5)(a + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 5) or (a + 6) must equal zero:
If (a - 5) = 0, a must equal 5
If (a + 6) = 0, a must equal -6
So the solution is that a = 5 or -6
Simplify 8a x 6b.
| 48ab | |
| 48\( \frac{a}{b} \) | |
| 14ab | |
| 48\( \frac{b}{a} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
8a x 6b = (8 x 6) (a x b) = 48ab
The formula for the area of a circle is which of the following?
c = π d |
|
c = π r2 |
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c = π r |
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c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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addition |
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exponents |
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pairs |
When solving an equation with two variables, 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.)