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WorksheetsUnit 1 Review
Total questions: 30
Worksheet time: 2hrs 41mins
−10x
linear monomial
9x5+4x4+3
quintic trinomial
4x−10x2−2x4
quartic trinomial
9x−4
linear binomial
3x−2x4+10−2x2
quartic polynomial
Luc is working on his math homework and needs to identify which of the following is a cubic binomial. Which one should Luc choose?
x³+5
x²+3
x²+5x-6
5x³
Joel has a box with
(x³-2x²+3) marbles, and Ky has another box with
(2x³+3x²-1) marbles. Add the number of marbles they have together:
3x³-2x²+3x+2
3x³+x²+2
3x³-5x²-2
3x³-x²+1
(3x²-3x+2)-(x²-2x+1)
Luc is organizing a charity event and needs to simplify the expression for the total cost of supplies. The expression is:
-6x - 5(10x + 3)
-56x - 15
-56x+15
44x+15
-44x-15
Axel and Emma are planning to build a rectangular garden. The length of the garden is represented by (2x - 1) meters and the width is represented by (x + 2) meters. What is the expression for the area of the garden in square meters?
2x2 + 3x - 2
2x2 - 5x - 2
2x2 + 3x + 2
2x2 - 5x + 2
JB and Kaden are designing a rectangular garden. The length of the garden is (x² + 5x - 4) meters and the width is (3x - 1) meters. What is the perimeter of their garden?
x²+8x-5
2x²+16x-10
2x²+10x-8
6x-2
Brian is helping Ky design a rectangular garden. The length of the garden is represented by (5x+2) meters, and the width is (x2-3x+6) meters. What is the expanded expression for the area of the garden in terms of x?
5x3 - 17x2 +24x +12
5x3 + 17x2 - 24x +12
5x3 - 13x2 + 24x +12
5x3 +13x2 - 24x - 12
Jasmin and Peyton are tracking the population growth of a certain species in a forest over time. Is the pictured graph growth, decay, or linear or none?
Exponential Growth
Exponential Decay
Linear
None
Josh is observing the amount of a certain chemical in a solution over time, which is modeled by the equation
y = (1/5)x
Is this exponential growth or decay?
Growth
Decay
Mary is observing the growth of a plant. The height of the plant in centimeters after x days is given by the equation:
y = 6.87 (4)x
Identify the b-value:
b= 4
b = 6.87
b = 3
b = 1
Woody is studying the growth of a certain bacteria population over time. The population at time \(x\) is given by the function \(f(x) = 2^x\). What is the range of this function?
(−∞,∞)
(0,∞)
(−∞,0)
(∞,1)
JB is observing the growth of a rare plant species in a controlled environment. The height of the plant is modeled by the function y = 7(5/4)x, where x is the number of weeks. What type of function is this?
Exponential Growth
Exponential Decay
Linear
None of the above
Marissa is saving money in a bank account that compounds interest semiannually. What value should she use for k in the formula to calculate her interest?
12
1
365
2
In a volleyball tournament, teams that lose are eliminated each round. The number of teams remaining in the tournament at the end of x rounds, can be modeled by the exponential function f(x)=42(0.50)x .
Choose the correct answer from each drop-down menu to complete.
The initial amount of teams at the beginning of the tournament was (a) .
The number of teams (b) at a rate of (c) each round.
Which of the following is an example of exponential decay?
y = 10x2
y = 10x + 6
y = 10(1.2)x
y = 10(0.6)x
Write an equation that models the following situation:
Ashlyn's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
(HINT: Write out the equation on a separate piece of paper and then simplify inside the parenthesis)
y=6(0.14)x
y=6(1+14)x
y=6(1.14)x
y=6(0.86)x
Jayden’s Print Shop purchased a new printer for $35,000. Each year it depreciates (loses value) at a rate of 5%.
What is the initial value?
$35,000
0.05
1.05
0.95
Whit's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
y = 70(2)35
y = 70(2)5
y = 2(70)5
y = 5(70)2
Suppose Avery is observing a culture of bacteria that begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
y=5000(0.7)x
y=30(5000)x
y=5000(1.3)x
y=5000xx
Kenyae got shook playing basketball and now his ankles hurt. He decides to take 400 mg of ibuprofen. Each hour, the amount of ibuprofen in Kenyae’s system decreases by about 29%.
What would go in the parenthesis for this problem? BEFORE SIMPLIFYING
(1 + 0.29)
(1 - 0.29)
(1 - 0.71)
(1 + 0.71)
Caleb is riding his bicycle at a speed of 6 m/s. What is his speed in km/h? (1 km=1000 m)
21.6 km/h
16.67 km/h
2.16 km/h
1.67 km/h
Joe and Brylee are planning a year-long project. They want to know how many minutes they have in a year to allocate their tasks efficiently. How many minutes are in a year?
I can't count that high.
525,600min
52,560min
31,536,000min
John is tracking the value of a car that depreciates by 12% each year. If the initial value is $20,000, which equation best models the value of the car after x years?
y = 20000(0.88)x
y = 20000(0.12)x
y = 20000(1.12)x
y = 20000x0.88
88 inches per second into miles per day
130 miles per day
162 miles per day
115 miles per day
120 miles per day
It took Kim 2 hours 34 minutes to type an 11 page research paper for Biology. What was Kim’s average typing speed?
11.9 min per page
14 min per page
15 min per page
21.27 min per page
A child weighs 40.0 lb and is to receive 0.10 mg of an antibiotic for each kg of body weight. How many milligrams of the antibiotic shall the child receive? (1 kg = 2.2 lbs)
18.2 mg
182 mg
0.182 mg
1.82 mg
