Functions
Systems
Miscellaneous
Equations and Inequalities
Linear Stuff
100
Identify the domain and range:
Domain: {-3, -2, 0, 5, 10}
Range: {-5, -2, 4, 7}
100
What is the solution to the system graphed below?
(2,3)
100
Write in scientific notation:0.000000534
5.34 x 10-7
100
Solve for x:
x - 8 - 7x > 16
x < -4
100
Find the slope: (2,3) and (-4,8)
m = -5/6
200
If f(x) = 3x2 - 5x, find f(-2)
f(-2) = 3(-2)2-5(-2)
f(-2) = 3(4) + 10
f(-2) = 22
200
Solve the system:
x + 5y = 6
-x + 4y = 12
(-4,2)
200
Simplify: (3x5y6z8)2
9x10y12x16
200
Solve for x:
2x + 5 < 3x + 1 - x
No solution
200
What is the slope of the equation x = 3?
undefined
300
State the domain and range
300
Is (2,4) a solution to the system of inequalities below?
y < 2x + 5
2x - 3y > 9
No
300
Write an expression for the perimeter of a rectangle if the length is 8 feet more than the width
4w + 16 feet
300
Solve for x:
1/3x+2/5 =5/6 - 2/3x
x = 13/30
300
Write the equation of a line that is parallel to
y = 2x + 5 and goes through the point (-1,9)
y = 2x + 11
400
If g(x) = 3x + 4 and h(x) = x2 - 5, find g(3) - h(5)
g(3) = 13, h(5) = 20, so
g(3) = h(5) = -7
400
Solve using substitution:
y = 2x - 1
2x + 3y = -7
(-1/2, -2)
400
Write an equation in standard form for a line with a slope of 1/2 that goes through the point (6,8)
x - 2y = -10
400
You buy a $125 pair of sneakers and some $4 pairs of socks. If you spent more than $195, write and solve an inequality to answer the question: how many pairs of socks did you buy?
4x + 125 > 195
x > 17.5
18 or more pairs of socks
400
Write the standard form equation of the line that is perpendicular to y = 2x + 5 and goes through the point (-4, 8)
x + 2y = 12
500
Your weekly income is modeled by the function i(h) = 10h + 20, where h is the hours you work and i(h) is the amount you make that week. If you can only work between 10 and 30 hours in one week, what is a reasonable domain and range for this function?
domain: [10,30]
range: [120, 320]
500
Kelly just became a personal trainer and is finalizing her pricing plans. One plan is to charge $86 for the initial consultation and then $89 per session. Another plan is to charge $51 for the consultation and $90 per session. Kelly realizes that the two plans have the same cost for a certain number of sessions. Write and solve a system to answer the questions: What is that cost? How many sessions is that?
y=89x + 86
y=90x + 51
The two cost the same ($3201) after 35 sessions
500
Find the hypotenuse of a triangle with side lengths of 5 cm and 12 cm
13 cm
500
Find four consecutive integers such that triple the largest minus the second number is three more than the third number.
the integers are -3, -2, -1, and 0
500
A plane is flying through the sky when it gets the call that it needs to land. 5 minutes after the call the plane is at a height of 2400 feet. 12 minutes after the call it is at a height of 720 feet. Write an equation, in slope-intercept form, modeling the height of the plane, y, in terms of the number of minutes, x.
y = -240x + 3600