| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
Simplify (y + 2)(y - 3)
| y2 + 5y + 6 | |
| y2 - y - 6 | |
| y2 + y - 6 | |
| y2 - 5y + 6 |
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 - 3)
(y x y) + (y x -3) + (2 x y) + (2 x -3)
y2 - 3y + 2y - 6
y2 - y - 6
Solve for y:
9y - 7 > \( \frac{y}{7} \)
| y > 1\(\frac{1}{62}\) | |
| y > \(\frac{49}{62}\) | |
| y > -\(\frac{45}{64}\) | |
| y > 8\(\frac{3}{4}\) |
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 > sign and the answer on the other.
9y - 7 > \( \frac{y}{7} \)
7 x (9y - 7) > y
(7 x 9y) + (7 x -7) > y
63y - 49 > y
63y - 49 - y > 0
63y - y > 49
62y > 49
y > \( \frac{49}{62} \)
y > \(\frac{49}{62}\)
What is the circumference of a circle with a radius of 6?
| 12π | |
| 19π | |
| 36π | |
| 32π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 6)
c = 12π
Simplify (8a)(2ab) - (3a2)(3b).
| 25a2b | |
| 7a2b | |
| 60a2b | |
| -7ab2 |
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) - (3a2)(3b)
(8 x 2)(a x a x b) - (3 x 3)(a2 x b)
(16)(a1+1 x b) - (9)(a2b)
16a2b - 9a2b
7a2b
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
|
exponents |
|
pairs |
|
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.)