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WorksheetsAlgebra: C& C – Unit 1 Study Guide
Total questions: 16
Worksheet time: 16mins
Look at this sequence: 72, 60, 48, 36, … Which function represents this sequence?
a(n) = -12n + 84
a(n) = -12n + 72
a(n) = 72n - 12
a(n) = -12n + 60
Given the function g(x) = -4x + 7, what is the range when the domain is {−2, −1, 0, 2, 4}?
{−1, 3, 7, -1, -9}
{15, 11, 7, -1, -9}
{−15, -7, 7, -1, -9}
{0, 3, 5, 7, 9}
The table below shows the depth of water in a tank as it is being filled: Time (minutes): 1 | 2 | 3 | 4 | 5 Depth (in): 12| 20 | 28 | 36 | 44 If this information is graphed with time on the x-axis, what does the y-intercept represent?
the starting water depth in the tank
the time it takes to empty the tank
the amount of water the tank holds
the number of minutes between refills
The slope of a line represents __________. The y-intercept represents __________.
A car rental company charges a flat fee of $25 plus $12 per day. Write an equation in function notation to represent the cost, C(d), for renting a car for d days.
Marcus has a $15 gift card. Each movie ticket costs $9.25. The function f(x) = 9.25x − 15 represents the amount of cash Marcus needs to buy x tickets after using his card. How much does he need to buy 3 tickets?
$12.75
$17.50
$12.25
$11.75
The pattern continues: Diagram 1 = 5 blocks Diagram 2 = 9 blocks Diagram 3 = 13 blocks Which formula gives the number of blocks in the nth diagram?
an = 2n + 3
an = 4n + 1
an = 5n - 1
an = n + 4
The first four terms of an arithmetic sequence are 6, 11, 16, 21. What is the 15th term?
61
71
76
81
The function f(h) = 12h shows the money earned for working h hours. Complete the table: f( 2) | f(4.5) | f(7) h f(h)
A bakery produces 400 muffins daily. If m(t) represents the number of muffins sold after t hours (bakery is open 7 AM to 7 PM), what is a reasonable domain for m(t)?
[0, 12]
[0, 400]
[0, ∞)
(12, ∞)
What is a reasonable range for m(t)?
[0, 400]
[−400, 400]
[0, 12]
[0, 800]
A bag of chips is eaten at a steady rate. After 2 days, 32 ounces are left. After 4 days, 24 ounces are left. According to this trend, how many ounces are left after 7 days?
12 oz
10 oz
8 oz
6 oz
The graph below shows a runner’s distance over time. Between which hours was she running the fastest?
Graph the following coordinate and check from the orgin
(0,0), (1,4), (2,6), (3,7), (4,10), (5,10)
hours 0–1
hours 1–2
hours 2–3
hours 4–5
The function f(t) represents the height of a sunflower, in cm, t days after planting. What does f(50) = 120 mean?
The sunflower is 120 cm tall after 50 days.
The sunflower is 50 cm tall after 120 days.
The sunflower grows 120 cm each day for 50 days.
The sunflower is 120 cm tall on day 0.
Which notation means the sunflower is 35 cm tall after 20 days?
f(20) = 35
f(35) = 20
f(t) = 20
f(t) = 35
A factory can make at most 300 toys daily. Each toy sells for $18. Which best describes the domain of the function representing total daily sales?
{x | 0 ≤ x ≤ 300, x ∈ W}
{x | 0 ≤ x ≤ 5400, x ∈ R}
{x | 0 ≤ x ≤ 300, x ∈ R}
{x | 0 ≤ x ≤ 5400, x ∈ W}
