| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.47 |
| Score | 0% | 69% |
If a = -9 and y = 3, what is the value of 8a(a - y)?
| 144 | |
| 180 | |
| 864 | |
| 306 |
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.)
8a(a - y)
8(-9)(-9 - 3)
8(-9)(-12)
(-72)(-12)
864
A(n) __________ is two expressions separated by an equal sign.
formula |
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expression |
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equation |
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problem |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
Simplify (y - 2)(y + 6)
| y2 + 8y + 12 | |
| y2 - 8y + 12 | |
| y2 + 4y - 12 | |
| y2 - 4y - 12 |
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 - 2)(y + 6)
(y x y) + (y x 6) + (-2 x y) + (-2 x 6)
y2 + 6y - 2y - 12
y2 + 4y - 12
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.)
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
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triangle |
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rhombus |
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trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.