| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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all interior angles are right angles |
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the lengths of all sides are equal |
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the area is length x width |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
The formula for the area of a circle is which of the following?
a = π r2 |
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a = π d2 |
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a = π d |
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a = π r |
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.
Simplify (8a)(2ab) - (2a2)(7b).
| 30a2b | |
| 90ab2 | |
| 2a2b | |
| 30ab2 |
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)(2ab) - (2a2)(7b)
(8 x 2)(a x a x b) - (2 x 7)(a2 x b)
(16)(a1+1 x b) - (14)(a2b)
16a2b - 14a2b
2a2b
Solve for z:
-3z + 2 = 6 - z
| 1 | |
| -1 | |
| -2 | |
| \(\frac{4}{5}\) |
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.
-3z + 2 = 6 - z
-3z = 6 - z - 2
-3z + z = 6 - 2
-2z = 4
z = \( \frac{4}{-2} \)
z = -2
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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division |
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pairs |
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addition |
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.)