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Solving Equations and Inequalities
Linear Equations
Exponential Equations
Functions and Function Notation
Random
100
Solve for x: 3x + 10 = 28
x = 6
100
If y = 4x + 1, what is the slope of the line?
slope = 4
100
What is the basic form of an exponential equation?
y = abx
100
Determine the vocabulary word: A relationship (or equation) that matches each input with only one output.
Function
100
State whether the following sequence is Arithmetic or Geometric. Then, find the next three terms: 4, 18, 32, 46, ...
Arithmetic: 60, 74, 88
200
Solve for x: 5x - 16 ≥ 14
x ≥ 6
200
If the slope of a line is ¼ and the y-intercept is (0, -5), write an equation in y = mx + b form.
y = ¼x - 5
200
Suppose there are 12 mice in a barn. The population doubles every month. Write an exponential equation to represent this situation.
y = 12*2x
200
Determine the vocabulary word: The set of all inputs/x-values/what gets plugged in
Domain
200
State whether the following sequence is Arithmetic or Geometric. Then, find the next three terms: 256, 128, 64, 32, ...
Geometric: 16, 8, 4
300
Solve for b: 12 = 3(-4) + b
b = 24
300
Find the slope between (2, 7) and (-3, -8).
slope = 3
300
A bank account is started with an initial $150. The account pays 4% interest compounded monthly. Write an equation to model this situation.
y = 150(1.033)x
300
Determine the vocabulary word: The set of all outputs/y-values/the answer to what gets plugged in
Range
300

Determine whether or not the following list of points represents a function. Be sure to state the domain and range. {(1, 5), (-2, 4), (3, 7), (-2, 4), (0, 0)}

Domain: 1, -2, 3, -2, 0 Range: 5, 4, 7, 4, 0 NOT a function

400
Solve for x. Then, be able to show the solution graphed on a number line. 15 - 3x < 9
x > 2
400
Draw the graph of y = ½x + 3
See Ms. Strauss :)
400
A bank account is started with an initial $500. The account pays 6% interest compounded annually. Write an equation to determine the account balance after 20 years.
y = 500(1.06)20 = $1603.57
400
If f(x) = 4x - 10, find f(-2).
f(-2) = -18 or (-2, -18)
400
A bank account starts with $2500 and decreases by 1.5% each year. Write an equation to determine how much will be left in the account after 10 years.
y = 2500(0.985)10 = $2149.33
500
Solve the following system of equations: 3x + 2y = 7 and -5x - 2y = -5
(-1, 5)
500
Describe the different shapes of graphs of systems of equations. Be sure to include the following: 1) one solution, 2) no solutions, and 3) infinitely many solutions.
1) one intersection point 2) two parallel lines 3) appears to be just one line
500
A bank account starts with $10000 and decreases by 2% each year. Write an equation to determine the amount in the account after 50 years.
y = 10000(0.98)50 = $3641.97
500
Draw a graph that does not represent a function.
See Ms. Strauss :)
500
Find the slope-intercept form of the equation of the line through (1, -4) and (3, 8).
y = 6x - 10