Keystone Practice Questions #1

Transcription

1 Name Period Keystone Practice Questions #1 Directions: Fill in the blank with the letter of the best answer. 1. What is the slope of the line that passes through the points (, ) and (5, 1)? (A) (B) (C) 4 (D) 4. A scatter plot was constructed on the graph below and a line of best fit was drawn. What is the equation of this line of best fit? (A) y = x + 5 (B) y = x + 5 (C) y = 5x + 5 (D) y = 5x + 5. Pete s Pizza Parlor figures out the cost of each pizza (c) based on the price of a plain pizza plus an additional charge for each topping (t) as shown in the equation below. c = 1.5t What does the number 1.5 represent in the equation? (A) the number of toppings (B) the price of a plain pizza (C) the additional cost of each topping (D) the cost of a pizza with one topping

2 4. Which statement illustrates the additive identity property? (A) = 6 (C) 4(6 + ) = 4(6) + 4() (B) = 0 (D) (4 + 6) + = 4 + (6 + ) 5. Frank purchased x hot dogs and y hamburgers at a baseball game. He spent a total of $10. The equation below describes the relationship between the number of hot dogs and the number of hamburgers purchased. x+ 4y = 10 The ordered pair (, 1) is a solution of the equation. What does the (, 1) represent? (A) Hamburgers cost times as much as hot dogs. (B) Frank purchased hot dogs and 1 hamburger. (C) Hot dogs cost $ each and hamburgers cost $1 each. (D) Frank spent $ on hot dogs and $1 on hamburgers. 6. Jason s part-time job pays him $155 a week. If he has already saved $75, what is the minimum number of weeks he needs to work in order to have enough money to buy a dirt bike for $900? (A) 8 (B) 9 (C) 4 (D) 7. Which equation represents a line that has a slope of 4 and passes through the point (, 1)? (A) y = 4x 5 (B) 4y = x (C) y = 4x + (D) 4y = x The line represented by the equation y x = 4 has a slope of (A) (B) (C) (D)

3 6 4 x 18x + x 9. Which expression is equivalent to x? (A) x 9x (B) 9x + 1 x (C) 4 x 9x (D) x 4 9x The scatter plot below shows the profit, by month, for a new company for the first year of operation. Kate drew a line of best fit, as shown in the diagram. Using this line, what is the best estimate for profit in the 18 th month? (A) $5,000 (B) $7,750 (C) $4,500 (D) $45, The line represented by the equation x 9y= 6has a y-intercept of (A) 4 (B) 4 (C) 1 (D) 1 1. What is 45 expressed in simplest radical form? (A) 5 (B) 6 5 (C) 5 5 (D) What is the GCF of the following monomials? x and 8 x 6 (A) (B) x (C) x (D) x

4 14. The box-and-whisker plot below represents the ages of 1 people. What percent of these people are age 15 or older? (A) 5 (B) 5 (C) 75 (D) Which graph does not represent a function? (A) (B) (C) (D)

5 16. Tim s scores the first 5 times he played a video game are listed below. 4,56 4,599 4,67 4,745 4,818 Tim s scores follow a pattern. Which expression can be used to determine his score after he played the video game n times? (A) 7n + 4,45 (B) 7(n + 4,45) (C) 4,45n + 7 (D) 4,56n 17. The graph of a function is shown below. Which value is not in the range of the function? (A) 0 (B) (C) 4 (D) The daily high temperatures, in degrees Fahrenheit ( F), of a town are recorded for one year. The median high temperature is 6 F. The interquartile range of high temperatures is. Which is most likely to be true? (A) Approximately 5% of the days had a high temperature less than 0 F. (B) Approximately 5% of the days had a high temperature greater than 6 F. (C) Approximately 50% of the days had a high temperature greater than 6 F. (D) Approximately 75% of the days had a high temperature less than 94 F.

6 19. Tyler asked 00 students to select their favorite sport and then recorded the results in the bar graph below. Tyler will ask another 80 students to select their favorite sport. Based on the information in the bar graph, how many more students of the next 80 asked will select basketball rather than football as their favorite sport? (A) 10 (B) 0 (C) 5 (D) 0 0. A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseballs cost $4 each. The inequality b 1,000 can be used to determine the new number of baseballs (b) that the team can purchase. Which statement about the number of new baseballs that can be purchased is true? (A) The team can purchase 04 new baseballs. (B) The minimum number of new baseballs that can be purchased is 185. (C) The maximum number of new baseballs that can be purchased is 185. (D) The team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.

7 1. A system of inequalties is shown below. y < x 6 y > x Which graph shows the solution set of the systems of inequalities? (A) (B) (C) (D). What is the solution to the compound inequality? 5 < y < 14 (A) 4 > y > 1 (B) 4 < y < 1 (C) 1 > y > 4 (D) 1 < y < 4

8 . Tyreke always leaves a tip of between 8% and 0% for the server when he pays for his dinner. This can be represented by the system of inequalities shown below, where y is the amount of tip and x is the cost of dinner. y > 0.08x y < 0.x Which of the following is a true statement? (A) When the cost of dinner (x) is $10, the amount of tip (y) must be between $ and $8. (B) When the cost of dinner (x) is $15, the amount of tip (y) must be between $1.0 and $.00. (C) When the amount of tip (y) is $, the cost of dinner (x) must be between $11 and $. (D) When the amount of tip (y) is $.40, and the cost of dinner (x) must be between $ and $6. 4. Samantha and Maria purchased flowers. Samantha purchased 5 roses for x dollars each and 4 daisies for y dollars each and spent $ on the flowers. Maria purchased 1 rose for x dollars and 6 daisies for y dollars each and spent $. The system of equations shown below represents this situation. Which statement is true? 5x + 4y = x + 6y = (A) A rose costs $1 more than a daisy. (B) Samantha spent $4 on each daisy. (C) Samantha spent more on daisies than she did on roses. (D) Samantha spent over 4 times as much on daisies as she did on roses.

9 5. What is the sum of x 7x+ 9 and 5x + 6x 4? (A) (B) (C) (D) + 8x x x x 5 + 8x 1x x 1x 1 6. Factored completely, the expression (A) x( x x 90) (B) x( x 11x 0) (C) x( x+ 5)( x+ 6) (D) x( x 5)( x 6) 90 x x + x is equivalent to 7. The quotient of 8x x + 4x 6x x 5 4 is (A) 16x 4x + 8x 1x (B) 4x x + x x (C) 4x x + x x (D) x x + x Directions: Show appropriate work for the following problems. 1. Rewrite the following values in order from least to greatest. π,,,.01, 1.

10 . Solve the following system of equations algebraically for y. x+ y = 9 x y =. Three storage bins contain colored blocks. Bin 1 contains 15 red and 14 blue blocks. Bin contains 16 white and 15 blue blocks. Bin contains 15 red and 15 white blocks. All of the blocks from the three bins are placed into a box. If one block is randomly selected from the box, which color block is most likely to be picked? Justify your answer.

11 4. Solve algebraically for x. Graph your solution on a number line ( x ) ( x)