| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.59 |
| Score | 0% | 72% |
Which of the following expressions contains exactly two terms?
binomial |
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quadratic |
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monomial |
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polynomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If a = 3 and y = -6, what is the value of 4a(a - y)?
| 108 | |
| -8 | |
| 90 | |
| -98 |
To solve this equation, 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.)
4a(a - y)
4(3)(3 + 6)
4(3)(9)
(12)(9)
108
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
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Last |
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First |
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Odd |
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.
If AD = 25 and BD = 22, AB = ?
| 3 | |
| 2 | |
| 10 | |
| 4 |
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 + x - 4 = -5x + 3
| 4 or -2 | |
| 9 or 7 | |
| 6 or -3 | |
| 1 or -7 |
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 + x - 4 = -5x + 3
x2 + x - 4 - 3 = -5x
x2 + x + 5x - 7 = 0
x2 + 6x - 7 = 0
Next, factor the quadratic equation:
x2 + 6x - 7 = 0
(x - 1)(x + 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 1) or (x + 7) must equal zero:
If (x - 1) = 0, x must equal 1
If (x + 7) = 0, x must equal -7
So the solution is that x = 1 or -7