Academic Worksheet 12.8
Tell whether the sequence is arithmetic or geometric. Then find the common difference or the common ratio,
and write the next three terms.
1. -3, 2, 7, 12, …
2. -2, -7, -12, -17, …
3. 21, 18, 15, 12, …
4. 3, 12, 48, 192, …
5. -5, 20, -80, 320, …
6. -16, -9, -2, 5, …
Tell whether the sequence is arithmetic or geometric. Then graph the sequence.
7. 15, 30, 45, 60, …
8. 81, 27, 9, 3, …
9. -7, 1, 9, 17, …
10. A bike rental shop charges $5 for the first hour, and $2.50 for each additional hour that you rent a
bike. Consider the sequence that givens the per hour cost to rent a bike.
a. Write the first 6 terms of the sequence.
b. Write a variable expression for the cost of an ℎ hour bike ride.
c. Markus rented a bike from this shop and paid $25. For how long did Markus rent the bike?
11. You start saving for a $150 air hockey table in January when you receive $40 in cash for your birthday.
In February and each month after, you save $10 from doing chores. After how many months of saving
will you have enough for the air hockey table?
Academic Worksheet 8.1
Identify the domain and range of the relation.
1. (−6, 4), (−3, 0), (4, 2), (4, 3), (7, 9)
2.
Represent the relation as a mapping diagram. Then tell whether the relation is a function. Explain your
reasoning.
4. (0, 0), (1, 1), (1, 2), (3, 3), (4, 4)
3. (−2, 2), (−1, 2), (1, 2), (2, 2)
5.
6.
Tell whether the relation represented by the graph is a function.
7.
8.
9.
10. Twenty children line up to ride go-carts. The go-cart operator collects $2 from each child in order from
the 1st to the 20th in the line. Do the ordered pairs (child number, amount paid) represent a function?
Explain your reasoning.
11. The amount of precipitation in millimeters is measured every day from day 1 to day 20. Do the
ordered pairs (day, precipitation) represent a function? Explain.
12. Terrance receives $0.50 per pound of aluminum cans he recycles. Is the number of cans he recycles a
function of the amount of money he receives? Explain.
Academic Worksheet 8.2 – Day 1
Tell whether the ordered pair is a solution of the equation.
2. 2𝑥 − 𝑦 = 5: (4, 3)
1. 𝑦 = 3𝑥 + 7; (−2, 1)
Find the value of 𝑦 when 𝑥 has the given value in the equation.
3. 𝑦 = 4𝑥 − 12: 𝑥 = 6
4. 𝑦 = 8 + 6𝑥; 𝑥 = −3
Graph the equation using a table of values. Tell whether the equation is a function.
5. 𝑦 = 𝑥 + 4
6. 𝑦 = 3
7. 𝑦 = −𝑥 + 2
8. 𝑦 = 3𝑥 − 5
9. 𝑥 = −4
10. 𝑦 = 2𝑥 + 2
11. 𝑥 = 1
12. 𝑦 = −2
13. 𝑦 = 2 𝑥
1
Academic Worksheet 8.2 – Day 2
Write the equation in function form. Then graph the equation.
1. 𝑥 + 𝑦 = 6
2. 5𝑥 − 𝑦 = −1
3. 𝑦 − 2𝑥 = 6
4. 4𝑥 + 4𝑦 = 8
5. 2𝑦 + 3𝑥 = 2
6. 3𝑥 − 3𝑦 = 9
7. The formula 𝑦 = 0.001𝑥 converts a distance 𝑥 in meters to a distance 𝑦 in kilometers. The total
distance of eighteen holes at one golf course is 6460 meters. What is this distance in kilometers?
8. Your family is driving on the highway. The number of miles 𝑦 you travel in 𝑥 minutes is approximated
by the equation 𝑦 = 1.1𝑥. Approximately how far do you travel in 80 minutes?
Academic Worksheet 8.3
Identify the x-intercept and the y-intercept of the line.
1.
2.
Draw the line with the given intercepts.
4. x-intercept: 5; y-intercept: -3
3.
5. x-intercept: -3; y-intercept: -2
Find the intercepts of the equation’s graph. Then graph the equation.
6. 3𝑥 + 𝑦 = 6
7. −5𝑥 + 4𝑦 = −20
8. −4𝑥 + 3𝑦 = 12
9. 2𝑥 + 𝑦 = −4
10. 5𝑥 + 3𝑦 = −15
12. A fitness center charges $25 for a yoga class and $45 for an
aerobic class. The fitness center receives a total of $675 for the
two classes. Write and graph an equation describing the
possible number of people who joined the yoga and aerobic
classes. Give three possible combinations of the number of
people in the classes.
13. The isosceles triangle shown has a perimeter of 18 centimeters.
a. Write an equation describing the possible values of 𝑥 and 𝑦.
b. Use intercepts to graph the equation from part (a).
c. Give three pairs of whole-number values of 𝑥 and 𝑦 that
could represent side lengths of the isosceles triangle.
11. – 𝑥 + 6𝑦 = −6