Linear Functions
What is the slope of the following equation? y = 2/3x + 15
2/3
How many solutions does the following system of equations have? y = 2/3x + 7 y = -2/3x + 4
1
What type of line would you use to graph the following inequality and would you shade above or below the y-intercept? y < 3x + 7
Dashed & Below
How many solutions would this quadratic equation have? y = x2 - 2x - 9
2
What is the best test-taking strategy for problems when you are given information in a table and need an equation?
Use Demos & run the regression!
What is the y-intercept of the following equation? -2x + 3y = 27
9
What is the solution for the following system of equations? y = -3x + 22 y = -.5x + 7
(6, 4)
Convert the following inequality to slope-intercept form: 2x - 3y > -15
y < 2/3x + 5
Between which two positive integers would the zero of the following quadratic equation be located? y = x2 - x - 4
2 and 3
What value of x makes this equation true? 2(x - 6) = -x + 8 - 2x
x = 4
What is the new y-intercept of the following equation if it is shifted up 7 units? y = 3x -2
5
What is the solution for the following system of equations? 2x + 3y = 12 5x - 3y = 9
(3, 2)
What is the solution set for the following: 2(x+4) > -5x + 10
x > 2/7
What are the solutions for the following quadratic equation? x2 +8x + 7
{-7, -1}
If a = 3, h = -1 and k = 2, write an equation for the quadratic function in vertex form.
3(x + 1)2 + 2
What is the zero of f(x) = 3/4x + 6?
-8
What is the solution to this system? 7x + 5y = 19 7x + 2y = 16
(2, 1)
Write an inequality that represents all the values of x for y > -2(x + 5) when y = 8.
x > -9
What is the factored form of the following quadratic equation? x2 +2x - 63
(x + 9) (x - 7)
If you put a penny in the bank and it doubles in value every day for sixteen days, how much money will you have at the end of the 16th day?
$655.36
Tom called a plumber to fix a leak. The plumber charges a $40 service fee just to show up in addition to $75 an hour to do the job. How much would it cost for the plumber to fix the leak if it takes him 3.5 hours?
$302.50
Mr. Bambico has $2.30 in his pocket, all in nickels and dimes. If he has 31 coins total and has one more nickel than he does dimes, how many nickels does he have?
16
You have $125 to spend at The State Fair of Texas. If admission costs $65 and rides are $5 each, what is the maximum number of rides that you can afford?
12
Solve the following quadratic equation: x2 +3x - 20 = 8
x = -7 & 4
Find the 18th term in this sequence: 3, 6, 12, 24 ...
393,216