| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
What is 6a3 - 5a3?
| a36 | |
| a6 | |
| 30a3 | |
| 1a3 |
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.
6a3 - 5a3 = 1a3
Solve for c:
c2 + 13c + 47 = -c + 2
| -5 or -9 | |
| 1 or -3 | |
| 9 or -3 | |
| 9 or -9 |
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:
c2 + 13c + 47 = -c + 2
c2 + 13c + 47 - 2 = -c
c2 + 13c + c + 45 = 0
c2 + 14c + 45 = 0
Next, factor the quadratic equation:
c2 + 14c + 45 = 0
(c + 5)(c + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 5) or (c + 9) must equal zero:
If (c + 5) = 0, c must equal -5
If (c + 9) = 0, c must equal -9
So the solution is that c = -5 or -9
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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rhombus |
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triangle |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
addition |
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division |
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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.)
If BD = 29 and AD = 30, AB = ?
| 3 | |
| 19 | |
| 18 | |
| 1 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD