1/4
What is the pattern?
1/324, 1/108, 1/36, 1/12
-6
Identify the pattern
-96, -48, -24, -12
10
Identify the pattern
34, 28, 22, 16
4.8
Identify the pattern
0.3, 0.6, 1.2, 2.4
10
Identify the pattern
-2, 1, 4, 7
39
Every day you collect 3 pennies and keep them in a jar. So the first day you have 3, the second day you have 6, the third day you have 9, etc. How many do you have on the 13th day?
2187
One week you tell 3 of your friends a secret. The next week, each of them tells 3 people the secret and the next week each of those people tell 3 more people. So the first week, 3 new people know the secret, the second week 9 new people know the secret, t
18-gallon
You want to set up an aquarium and need to determine what size tank to buy. The graph shows tank sizes using a rule that relates the capacity of the tank to the combined lengths of the fish it can hold. If you want three 2-in. goldfish, five 1-in. guppies
$20
The graph shows the total cost of goldfish at the aquarium shop. Use the table to find out how much 10 goldfish cost.
t-40
40 fewer than a number t
5(a+b)
5 times the sum a and b
15+8w
You start with $15 and save $8 each week. What algebraic expression models the total amount you save?
199-3d
You had $199, but you are spending $3 each day. What algebraic expression models this situation?
30s+19t+18p; $1365
You are going shopping for some new sweaters, t-shirts, and pants. Sweaters (s) cost $30, t-shirts (t) cost $19, and pants (p) cost $18. What algebraic expression models the total cost of clothes that you buy? Suppose you bought 26 sweaters, 9 t-shirts, a
x=5
x+5=10
No
Is the relation a function?
{(14,9), (15,8), (8,7), (1,9), (15,2)}
Straight line B.
18. Use the vertical-line test to determine which graph represents a function
Diagonal line B.
19. Use the vertical-line test to determine which graph represents a function
20t+1.75; $61.75
Tickets to a concert are available online for $20 each, plus a one-time handling fee of $1.75. The total cost is a function of the number of tickets bought. What function rule models the cost of the concert tickets (t)? Evaluate the function for 3 tickets
15t+2.25; $47.25
Specialty t-shirts are being sold online for $15 each, plus a one-time handling fee of $2.25. The total cost is a function of the number of t-shirts bought. What function rule models the cost of the t-shirts (t)? Evaluate the function for 3 t-shirts.
2
What is the slope of the line that passes through the given points? (6,2) and (7,4)
-6/23
What is the slope of the line that passes through the given points? (-12,-4) and (11,-10)
0
What is the slope of the line that passes through the given points? (8,7) and (5,7)
y=1/2x-5
What is an equation of the line in slope intercept form?
m=1/2 and the y-intercept is (0, -5)
y=2x+7
What is an equation of the line in slope intercept form?
m=2 and the y-intercept is (0,7)
y= -4x+2
What is an equation of the line in slope intercept form? (diagonal line)
y=11/9x -4/3; slope 11/9; y-intercept: -4/3
Write the equation in slope-intercept form. What are the slope and y-intercept? -11x+9y=-12
y=-3x-5/2; slope:-3; y-intercept: -5/2
Write the equation in slope-intercept form. What are the slope and y-intercept? -12x -4y=10
y=-6/5x+12; slope: -6/5; y-intercept: 12
Write the equation in slope-intercept form. What are the slope and y-intercept? 3/5x+1/2y=6
A. Diagonal line to the right
What is the graph of the equation? -5x+y=-4
D. Diagonal line to the right
What is the graph of the equation? 2x-y=5
A. Diagonal line to the right
What is the graph of the equation? 5x-5y=1
-5x+7y=-84
What is the equation of the given line in standard form? Use integer coefficients. y=5/7x-12
69x+10y=51
What is the equation of the given line in standard form? Use integer coefficients. y=6.9x+5.1
B. x-intercept: (4,0)
y-intercept: (0,-3)
What are the intercepts of the equation? Graph the equation. -3x+4y=-12
C. x-intercept: (4,0)
y-intercept: (0,-4)
What are the intercepts of the equation? Graph the equation. -2x +2y=-8
The equation
Slope=1
The equation -2x+2y=-8 and the graph below each represent linear functions. Which has the greater slope, and what is its value?
The table
Slope=2
The equation 2x-2y=-8 and the table below each represent linear functions. Which has a greater slope, and what is its value?
A. y=9/5x+32
You are trying to compare the Fahrenheit and Celsius scales and you have two examples: Temperature A is -20 degrees Celsius and -4 degrees Fahrenheit. Temperature B is 60 degrees Celsius and 140 degrees Fahrenheit. What graph models the relationship betwe
y=8x-38
What is an equation of the line in slope intercept form? the line parallel to y=8x-8 through (5,2)
y=-3x+7
What is an equation of the line in slope intercept form? the line perpendicular to y=1/3x+5 through (2,1)
As temperature increases, the electricity cost increases; there is a positive correlation
The table lists average monthly temperatures and electricity cost for a Texas home in 2008. The table displays the values rounded to the nearest whole number. Make a scatter plot. How would you describe the correlation?
As age increases, the average cost decreases; there is a negative correlation
The table lists the results from a survey of adults and how much they spend on a night out. The table displays the values rounded to the nearest whole number. Make a scatter plot. How would you describe the correlation between a person's age and how much
Each output for y=x+5 is 5 more than the corresponding output for y=x. The graph of y=x+5 is the graph of y=x translated up 5 units.
How are functions y=x and y=x+5 related? How are their graphs related?
C.
What is the graph of y=x-3 translated up 2 units?
A. The function y=f(x-2) represents this transformation
The graph shows the projected altitude f(x) of an airplane scheduled to depart an airport at noon. If the plane leaves two hour(s) late, what function represents this transformation?
f(x+4)
If a function, f(x) is shifted to the left four units, what function represents the transformation?
y=-4|x+8|-3
What is the equation of the absolute value
function?
y=7|-x-3|+4
What is an equation of the line in slope intercept form?
(0,2) (1,1) (2,1)
{x+y>1
{2x+3y<7