Literal Equations Station
1. Describe the “do” and “undo” to solve for
DO:
Start with _____
____________________
____________________
Get _____
UNDO:
Start with _____
____________________
____________________
Get _____
2. Describe the “do” and “undo” to solve for
3. Describe the “do” and “undo” to solve for
4. Describe the “do” and “undo” to solve for
5. Which of the following is equivalent to
?
A.
C.
B.
D.
6. Which of the following is not equivalent to (
)
A.
C.
B.
D.
?
7. At what step is an error made?
Solve the equation for
Step 1:
Step 2:
Step 3:
Step 4:
8. Explain when you would divide by the coefficient of a variable and when you would add/subtract a term with a variable
Solving Inequalities (Combine Like Terms) Station
Solve the inequality. Graph all possible solutions.
(
1.
(
2.
)
(
3.
4.
)
(
)
)
(
)
Write an inequality and solve. Then give 3 values that would satisfy the solution.
5. Carl has at most $32 to spend going to a concert. He spends $14 for the ticket and spends $5 per soft drink
he purchases. How many soft drinks can he purchase?
6. Nancy needs to save at least $700 for a summer vacation. She has already saved $230 and will earn $12
per hour babysitting. How many hours does she need to babysit to have enough money saved?
7. Matt’s Great Dane, Rover, is overweight and needs to be no more than 250 pounds to be considered
healthy. He currently weighs 340 pounds and will lose 6.8 pounds a month on a diet dog food. How long will
it take for Rover to be at a healthy weight?
8. Create and solve two inequalities using negative numbers; one example where the inequality symbol needs
to be changed and one example where is does not need to be changed.
Domain/Range & Independent/Dependent Station
1. The Movie Tavern is running a special promotion. After purchasing a movie card for $30, you can see
unlimited movies for $2 each. What is the independent variable in this situation?
A. total cost for the movie special
B. the cost per movie
C. the number of movies watched
D. the cost of the movie card
2. The profit from the candy fundraiser can be modeled by the equation
where P represents the
total profit and c represents the number of candy bars sold. What is the independent variable? What is the
dependent variable?
Identify the domain and range of each graph.
3.
4.
5.
6.
7.
8.
9.
10.
Evaluate & Multiple Representations Station
1.
A.
B.
C.
D.
E.
2.
A.
B.
C.
D.
E.
F.
G.
( )
Make a table (at least 5 points)
Graph
Write a verbal description
The slope is ________ and represents _____________________________________________________
The y-intercept is _______ and represents _________________________________________________
x
1
2
3
4
5
y
7
2
-3
-8
-13
Write the equation
The slope is ______
The y-intercept is ______
Write a verbal description for the data table
In your scenario the slope represents _________________________________________________________
In your scenario the y-intercept represents _____________________________________________________
Graph
3.
A.
B.
C.
D.
E.
F.
G.
Make a table (at least 5 points)
The slope is _____
The y-intercept is _____
Write the equation
Write a verbal description for the graph
In your scenario the slope represents _________________________________________________________
In your scenario the y-intercept represents _____________________________________________________
Scatter Plot Station
A scatter plot is a graph with individual points which can be used to show a possible relationship between two sets of data.
A correlation describes the relationship between two data sets and can help you make predictions. There are three types of
correlation: positive, negative, and no correlation.
Graph A
Graph B
Graph C
1.
2.
3.
Graph _____ has a negative correlation because as the x values increase the y values ____________________.
Graph _____ has no correlation because as the x values increase there is no ________________ in the y values.
Graph _____ has a positive correlation because as the x values _______________ the y values ______________.
4.
In complete sentences explain how a scatter plot is similar to a discrete linear pattern and how a scatter plot can be different
from a discrete linear pattern.
The longer a block of ice sits at room temperature, the _______________ the amount of ice that remains which is a
__________________ correlation.
As the population in a city increases, the average daily temperature __________________ which is a _________________
correlation.
A teacher collected data on 20 students for two different quizzes. The scatterplot shows the relationship between the number
of points scored on Quiz 1 and the number of points scored on Quiz 2.
5.
6.
7.
Which statement describes the data?
A. The number of points scored on Quiz 2 was less than the number of points scored
on Quiz 1 for any student who scored at least 50 points on Quiz 1.
B. The number of points scored on Quiz 2 was greater than the number of points
scored on Quiz 1 for any student who scored 50 or fewer points on Quiz 1.
C. The number of points scored on Quiz 2 was greater than the number of points
scored on Quiz 1 for any student who scored at least 50 points on quiz 1.
D. The number of points scored on Quiz 2 was less than the number of points scored
on Quiz 1 for any student who scored 50 or fewer points on Quiz 1.
8. Based on the scatter plot, which of the following
is the best prediction for the number of batteries
needed for 11 toys?
A. 46
B. 39
C. 32
D. Unable to
determine
9. What percent of on-time arrivals would
you expect to coincide with 8 mishandled
pieces of baggage?
A. 76%
B. 72%
C. 66%
D. Unable to
determine
(per thousand passengers)
Radical Expression Station
1. In complete sentences explain how you would simplify
. Then show how to simplify the radical expression.
3. Which expression is equal to
2. Which expression is in simplest form?
A.
B.
C.
D.
A.
B.
C.
D.
4. Find the area of the rectangle.
5. A quadrangle on a college campus is a square with
sides of 250 feet. If a student takes a shortcut by
walking diagonally across the quadrangle, how far
does he walk? Give the answer as a radical
expression in simplest form. Then estimate the
length to the nearest tenth of a foot.
6. In complete sentences explain how you would simplify √
expression.
7. Find the area of the rectangle.
A.
√
C.
√
. Then show how to simplify the radical
8. Find the area of the triangle.
√
B.
D.
?
𝑥
4 √𝑦
𝑥
𝑥
√
9. Find the perimeter of the triangle.
10. Explain why
+
equals 2
but does not equal
.
11. Use the value of x to help you find the value of the hypotenuse of the right triangle shown.
A.
B.
C.
D. 3
𝑥
𝑥
Exponents Station
3
4
1.
2.
Write what 4 means. Write what 3 means. Will they have the same value? Defend your answer.
3
5
3
5
8
Write what y means. Write what y means. Now explain why ( y ) ( y ) equals y but does not equal 8y.
3.
Which expression describes the area, in square units,
4.
3 2
of a rectangle that has a width of 4x y and
a length of 3x 2 y 3 ?
A. 12x6 y 6
C.
B. 12x5 y 5
D.
In question #3 you need multiplication to find the area
of a rectangle. What operation are you using with the
coefficients of 4 and 3?
What operation are you using with the exponents?
5.
What is the value of
? Does that help us find the value of the expression
6.
The area of the rectangle below is 40x y . Write an
expression that could be used to find the width of the
rectangle. Now find simplify that expression to find the
value of the width of the rectangle.
5 8
7.
? What does that mean for
or
?
In question #6 you need division to find the width of a
rectangle. What operation are you using with the
coefficients of 40 and 10?
What operation are you using with the exponents?
?
10xy6
8.
9.
Write out what ( ) means. Will it have the same value as ( ) ( ) ? Why or why not?
What is happening to the exponents in the expression ( ) ? What is happening to the exponents in the expression (
10. If
which is the expression for
?
A.
B.
Hint: Use parenthesis when you plug in!
)(
11. Show that the answer for 𝑥 + 𝑥 is not the same as
𝑥 • 𝑥. You may substitute a number for 𝑥 if that
helps.
C.
D.
12. The perimeter of a triangle is 6a  1 . Two of the
sides are 3a and a  5 . What is the third side?
Hint: Distribute your subtraction sign to all terms behind it!
A.
C.
B.
D.
13. Write the perimeter of the rectangle with sides
𝑥
𝑥
and 𝑥
in simplest form (combine
like terms). Don’t forget the other length and other
width when finding the perimeter!
Hint: Negative exponent means it is in the wrong part of the fraction.
)?
Writing and Solving Equations Station
Solve the equation. Show all steps please.
(
1. -
(
2.
)
(
3.
4.
)
(
)
)
(
)
 Leave your answer in fraction form
5. Briefly describe the process for solving an equation. What is the goal? How is this similar to and different
for solving an inequality?
Write an equation based on the problem and then solve. Check your answer for reasonableness.
6. Find the height of the triangle if the area is 55 square inches.
7. Sara needs to take a taxi to get to the movies. The taxi charges $4.00 for the first mile, and then $2.75 for each mile
after that. If the total charge is $20.50, then how far was Sara’s taxi ride to the movie? Don’t forget about the first
mile when answering.
8. Melissa gave
hours of her time on Tuesday doing community service. The following weekend she spent two
less than 3 times the amount of hours doing community service than she did on the previous Tuesday. If Melissa put
in 34 total hours of community service, how many hours were completed over the weekend?
9. The area of the rectangle and triangle are the same. Find the area.