| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.48 |
| Score | 0% | 70% |
What is 7a + 7a?
| 2 | |
| 49a2 | |
| 14a | |
| 14a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a + 7a = 14a
Simplify 9a x 5b.
| 45\( \frac{a}{b} \) | |
| 45a2b2 | |
| 45ab | |
| 45\( \frac{b}{a} \) |
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.
9a x 5b = (9 x 5) (a x b) = 45ab
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
x-intercept |
|
slope |
|
\({\Delta y \over \Delta x}\) |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Which of the following expressions contains exactly two terms?
quadratic |
|
binomial |
|
polynomial |
|
monomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
Solve for b:
6b + 8 = -5 - 6b
| -1\(\frac{1}{6}\) | |
| \(\frac{6}{7}\) | |
| -1\(\frac{1}{12}\) | |
| -9 |
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.
6b + 8 = -5 - 6b
6b = -5 - 6b - 8
6b + 6b = -5 - 8
12b = -13
b = \( \frac{-13}{12} \)
b = -1\(\frac{1}{12}\)