| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.70 |
| Score | 0% | 74% |
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
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isosceles and right |
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equilateral and right |
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equilateral and isosceles |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
Simplify 7a x 4b.
| 28\( \frac{a}{b} \) | |
| 28\( \frac{b}{a} \) | |
| 28ab | |
| 11ab |
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.
7a x 4b = (7 x 4) (a x b) = 28ab
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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exponents |
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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.)
Simplify (5a)(3ab) + (2a2)(2b).
| 32ab2 | |
| 19a2b | |
| 11a2b | |
| -11a2b |
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.
(5a)(3ab) + (2a2)(2b)
(5 x 3)(a x a x b) + (2 x 2)(a2 x b)
(15)(a1+1 x b) + (4)(a2b)
15a2b + 4a2b
19a2b
Which of the following statements about math operations is incorrect?
you can multiply monomials that have different variables and different exponents |
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you can subtract monomials that have the same variable and the same exponent |
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you can add monomials that have the same variable and the same exponent |
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all of these statements are correct |
You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.