| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
Solve for y:
-3y + 2 < \( \frac{y}{2} \)
| y < -\(\frac{8}{9}\) | |
| y < \(\frac{4}{15}\) | |
| y < 3\(\frac{1}{2}\) | |
| y < \(\frac{4}{7}\) |
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.
-3y + 2 < \( \frac{y}{2} \)
2 x (-3y + 2) < y
(2 x -3y) + (2 x 2) < y
-6y + 4 < y
-6y + 4 - y < 0
-6y - y < -4
-7y < -4
y < \( \frac{-4}{-7} \)
y < \(\frac{4}{7}\)
Simplify (6a)(8ab) + (7a2)(4b).
| -20ab2 | |
| 76ab2 | |
| 20a2b | |
| 76a2b |
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.
(6a)(8ab) + (7a2)(4b)
(6 x 8)(a x a x b) + (7 x 4)(a2 x b)
(48)(a1+1 x b) + (28)(a2b)
48a2b + 28a2b
76a2b
A coordinate grid is composed of which of the following?
x-axis |
|
all of these |
|
y-axis |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
Solve for c:
c2 - 2c - 15 = 5c + 3
| 6 or -4 | |
| -2 or 9 | |
| 3 or -7 | |
| 8 or -1 |
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:
c2 - 2c - 15 = 5c + 3
c2 - 2c - 15 - 3 = 5c
c2 - 2c - 5c - 18 = 0
c2 - 7c - 18 = 0
Next, factor the quadratic equation:
c2 - 7c - 18 = 0
(c + 2)(c - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 2) or (c - 9) must equal zero:
If (c + 2) = 0, c must equal -2
If (c - 9) = 0, c must equal 9
So the solution is that c = -2 or 9
What is the circumference of a circle with a radius of 13?
| 18π | |
| 26π | |
| 36π | |
| 7π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 13)
c = 26π