This booklet will be collected for a grade before the test. Algebra 1 Name: _____________________ Date: ______________ Pd: ____ Notes or Questions for.

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This booklet will be collected for a grade before the test. Algebra 1 Name: _____________________ Date: ______________ Pd: ____ Notes or Questions for Review:

20.The table below shows the relationship between the weight of a puppy and its age (in months). a. State the independent variable and the dependent variable. b. Which of the following statements describes the relationship between the two variables? A.The age is dependent on the weight of the puppy because the weight determines the age of the puppy. B.The weight of the puppy is dependent on the age because the age determines the weight of the puppy. C.The weight of the puppy is dependent on the age because the weight determines the age of the puppy. D.The age is dependent on the weight of the puppy because the age determines the weight of the puppy. Age (months)12345 Weight (pounds)

19. a.Write an expression for the area of the figure below. b.Write an expression for the perimeter of the figure below. 1. Daisy plans to spend at most $175 on jeans and shirts for school. She bought 3 pairs of jeans for $30 each. What is the most she can spend on shirts? 2.Tell whether each relation is a function. a.(0,0), (5,5), (7,7), (10,10) b.(4, -1), (5, 6), (4, 3), (6, 8) c.(2, 4), (2, 5), (2, 6), (2, 7) d.(-3, 5), (4, 5), (7, 10), (-6, 3) 6 9x 2 + 6x x – 4 5x + 3

3.Tom’s Telly cable company charges $30 a month plus an additional $0.50 for each premium channel. Charlie’s Cable charges $20 a month plus an additional $0.75 for each premium channel. For what number of premium channels do both cable companies charge the same amount? 4.Write an equation that involves 2 or more steps to solve and has a solution of x = -6. Justify that your equation has a solution of x = a. What is the difference in the perimeters from figure 1 and figure 2? A. (3x x 2 – 4x x – 3) –(3x – 1)+(3x – 1) B. (3x x 2 – 4x x – 3) – (3x – 1 + 3x – 1) C. (3x x 2 – 4x x – 3) – 4(3x – 1) D. (3x + 12)(3x 2 – 4x + 3)(5x – 3) – (3x – 1)(3x – 1) Figure 1 3x - 1 Figure 2 3x 2 – 4x + 3 5x - 3 3x + 12

17.Look at the graph below. a. What is the domain and range of the relationship? b. What is the minimum and maximum of the graph? 5. a.Write an expression showing the relationship between the term and the sequence in the table above. Let n represent the term. b.Use your expression to find the 20 th term of the sequence. Use mathematics to explain your answer. 6.Write each of the following equations in function notation. a.y = 5x – 3 b.m = 12n + 5 c.y = 5x x – 10 Term (n)12345 Sequence357911

16.The state department of transportation recently filled the road salt storage building with 3800 tons of road salt. A snow plow truck can hold 10 tons of road salt in one load. a. Write an equation that represents the amount of road salt (y) left in the storage building in terms of number of truck loads (x). b. Does the relationship represented by the equation represent a function? If the relationship is a function, identify the domain and range. c. Using your equation, if 2180 tons of road salt are left in the storage building, how many truckloads of salt have been removed? Justify your answer. 7.Simplify each expression. a. b. c. 8. Shakira is selling cupcakes for a fundraiser. She needs to make at least $125 in cupcake sales to win a prize. If each cupcake costs $1.75, what is the smallest number of boxes that she can sell to be eligible for the prize?

14.Your English teacher asks you to write a short novel that is at least 25 pages long and no more than 50 pages long. If your novel does not fall within these page limits, you receive a failing grade. Which inequality does not represent a failing grade for the novel? A. p < 25 B. p > 50 C. p 60 D. 30 ≤ p ≤ Write an equation that involves 2 or more steps to solve and has a solution of x = -7. Justify your answer. 9.Uncle Ron is trying to decide between two different fitness centers. Gordon’s Gym charges a $50 membership fee plus $42 per month. Fitness Club costs $240 plus a monthly fee of $15. a. Write an expression that represents the total cost of Gordon’s Gym and an expression that represents the total cost of Fitness Club, using x to represent the number of months. Gordon’s Gym – Fitness Club – b. Write and solve an equation to determine the number of months it takes for the total costs to be the same.

10.Sammia just got a new puppy that currently weighs 18 pounds. The puppy grows at a rate of 3 pounds per month. Which of the following is the correct expression for the puppy’s weight after t months? A. 18 – 3t B. 18t – 3 C t D. 18 – 3t 11.Jennifer earns $9.00 per hour at a local restaurant. She needs at least $200 to purchase a new phone. Which inequality can be solved to determine how many hours she must work to purchase the phone? A. 9.00x ≤ 200 B. 9.00x ≥ 200 C. 9.00x > 200 D. 9.00x < Solve each inequality and graph the solution on a number line. a. x + 4 > 10 and x + 4 ≤ 16 b. 3x – 1 > 10 or x + 5 < 4 c. -4x + 2 ≥ In order to ride the kid’s roller coaster, a person must be at least 42 inches tall but less than 66 inches tall. Which inequality represents the range of heights that can ride the roller coaster? A. 42 < x < 66 C. 42 ≤ x < 66 B. 42 < x ≤ 66 D. 42 ≤ x ≤ 66