PATTERNS
EXPRESSIONS
FUNCTIONS
NON-LINEAR
PROBLEMS
100
What is the next term in the pattern: 5, 10, 20, 40?
80
100
An item is on sale for 25% off the original price. Which of these expressions represents the sale price of an item that originally sold for y dollars? A. 0.25y − y B. y − 0.25y C. y − 0.25 D. 25y − y
B. y − 0.25y
100
y = -8x + 630 or V = -8t + 630
A fish tank empties at a constant rate. The table below shows the volume of water left in the fish tank after each minute. Minutes(t) Volume (V) 0 630 1 622 2 614 3 606 4 598 Write an equation to describes the volume of water.
100
A. Maximum
Which of the following terms describes the highest point a graph can reach? A. Maximum B. Minimum C. Domain D. Range
100
800
Use the expression 500 + 6s to determne Joe's weekly pay in dollars if he sells 50 pairs of shoes (s).
200
What is the sixth term in the pattern : 2 , 6 , 18 , 54,..?
486
200
A company bought equipment for x² + 5x dollars. One year later the value of the equipment was x² + 2 dollars. Which expression represents the amount that the equipment value decreased? A. (x² + 5x) - (x² + 2) B. (x² + 2) - (x² - 5x) C. (x² + 5x) ÷ (x² + 2 D. (x² + 2) x (x² + 5x)
A. (x² + 5x) - (x² + 2)
200
y = 1/2x
The table below shows a relationship between x and y. X Y 0 0 4 2 8 4 Write an equation to represents this relationship.
200
C. Domain
Which of the following terms describes the x-values of a graph? A. Maximum B. Minimum C. Domain D. Range
200
$6
You have $16 in your lunch account. You ate lunch 5 times a week. How muck will be in your account at the end of the week if lunch costs $2 each week?
300
What is the next term in the pattern: 12, 36, 108, 324, ...?
972
300
B. (x + 4) × (2x + 1)
A rectangular rug is x + 4 feet wide and 2x + 1 feet long. Which expression represents the area of the rug? A. (x + 4) + (2x + 1) B. (x + 4) × (2x + 1) C. 2(x + 4) + 2(2x + 1) D. 2(x + 4) × (2x +1)
300
b = 2d + 5
Write an equation to represent the relationship between d and b. d 1 2 3 b 7 9 11
300
B. Minimum
Which of the following terms describes the lowest point a graph can reach? A. Maximum B. Minimum C. Domain D. Range
300
108
Park rangers determined that the current deer population in a park is 78. Ranger Jones predicted that the deer population will increase by 6 deer each year. With his prediction, how many deer will there be in 5 years?
400
What is the 10th term of the pattern: 21, 19.8, 18.6, 17.4, 16.2,...?
10.2
400
C. (13n - 5) ÷ n
Carmen bought n books for a total cost of 13n-5 dollars. Which expression represents the cost of each book? A. n(13n- 5) B. n + (13n - 5) C. (13n - 5) ÷ n D. (13n - 5) - n
400
y = 0.25 + 0.10x
A library is trying to decrease the number of overdue books by increasing the fines. They plan to charge (y) $0.25 and $0.10 for each day (x) a book is late. Write an expression to represent the situation.
400
D. Range
Which of the following terms describes the y-values of a graph? A. Maximum B. Minimum C. Domain D. Range
400
26.4
The depth of a lake is 26 meters. Melting snow causes the lake to rise 0.05 meters each day. At the end of 8 days, what will be the depth, in meters, of the lake??
500
What is the 7th term of the pattern : 2x + 4, 2x + 1, 2x - 2, ...?
2x - 14
500
D. 300(x – 0.25x)
In one day, a store sold 300 shirts at 25% off the regular price of x dollars. Which of these expressions represents the total amount, in dollars, that was received for the sale of shirts on that day? A. 0.25(x – 300) B. 25(x – 300) C. 300(x – 25) D. 300(x – 0.25x)
500
y = 26 + 2x
The depth of a lake (y) is 26 meters. Melting snow causes the lake to rise 2 meters each day (x). Write an equation to describe the situation.
500
C. Zeroes
Which of the following terms describes the points where the graph touches or crosses the x-axis? A. Point of Discontinuity B. Function C. Zeroes D. Range
500
$ 0.45
A library is trying to decrease the number of overdue books by increasing the fines. They plan to charge $0.25 for the first day a book is late and $0.10 for each additional day. How much would it cost you if you turned a book two days late?