Chapter 3:Polynomials
A quantity whose value can change, usually represented by a letter.
What is variable?
What is the LCD for 1/6 and 1/8?
What is 24?
The type of variation that has an equation of the form y = mx+ b.
What is partial variation?
The x-coordinate of the point where a line crosses the x-axis.
What is the x-intercept?
Fitness Club A charges a $150 initial free to join the club and a monthly $20 fee. Fitness Club B charges an initial fee of $100 and $30 a month. Write a linear system of equations representing the two clubs. Use appropriate variables.
C=20t+150 and C=30t+100
In the power 24, 4 is the exponent and 2 is this.
What is the base?
Solve for x. 3x=18
What is x=6?
A measure of the steepness of a line.
What is slope?
What are the slopes of the equation of the lines y=6 and x=-5?
What is 0 and undefined?
When solving using the method of substitution or elimination, what is the first step?
Label the equations of the lines 1 and 2.
Write the product as a single power. Then, evaluate the power. 33 x 32
=33+2 =35 =243
Rearrange the formula to isolate for t. d=mt+b
What is t=(d-b)/m?
Point A(0,65) and point B(100,52). Calculate the slope.
What is m = (52-65)/(100-0) = -13/100?
Express x+y-3=0 in slope y-intercept form. Identify the slope and y-intercept.
What is y=-x+3? The slope is -1 and the y-intercept is 3.
Stephanie has five more fish in her aquarium than Brett has. The two have a total of 31 fish. Write a linear system of equations representing this scenario.
S=5+b and S+B=31
Terms that have identical variables.
What are like terms?
What is the solution for x-2=-4?
What is x=-2?
What is linear?
Without rearranging an equation, how do you determine the x- and y-intercepts?
Equation 1: 20x+15y=65
Equation 2: 20x-16y=-28
If using the method of elimination, will you add or subtract the equations and why?
Subtract the equations because x has the same coefficient.
Simplify x(x-3).
What is x2-3x?
Anthony is 4 years older than his brother Felix. The sum of their ages is 42. What equation can you use to find their ages?
What is f + f + 4 = 42?
A change in one quantity relative to the change in another quantity.
What is rate of change?
A line has a slope of 3 and passes through the point (2,1). What is the equation of the line?
What is y=3x-5?
Raze took a canoe to see her friend Jett. She took 2 hours to travel 12 km down a river. The return trip, against the current took 3 hours. Write a linear system of equations representing Raze's trips.
What is 12=(p+c)2 and 12=(p-c)3?