X309 Chapter 1 Sample Test

Transcription

1 X09 Chapter 1 Test X09 Chapter 1 Test Page 1 Do not write on this sheet, mark only on your answer sheet. Be sure to indicate if you have form A or B on you answer sheet. 1. On a road in the city of Troutdale, the maximum speed is 0 miles per hour and the minimum speed is 1 miles per hour. If x represents speed, which sentence best expresses this condition? x 1 < 0 0 x 1 0 x 1 0 x 1 [1]. Solve: x or x x 10 x x or x 10 x 10 []. For a door to meet specifications at a carpentry shop the width must be within inch of the expected width of the door. The shop gets an order for doors that are feet wide. Which of the following is an inequality that expresses the range of widths for acceptable doors? x x + 6 x + x 6 [] 4. Solve: x 1 > 4 < x < x < or x > x x or x [4]. Which of the following number lines shows the graphs of 6, 1, and? []

2 X09 Algebra II Chapter 1 Test Page 6. Which of the following number lines shows the graphs of and 1 4? [6] Which of the properties of real numbers is illustrated below? ab + ac = a( b + c) commutative law inverse law distributive law associative law [7]. Solve: x < 6 < x < 9 x 9 x or x 9 x < or x > 9 [] Simplify: 9. 1(x 1) 6(x 1) 1x 6 6x 1 1x 1 6x 6 The se are parentheses [9] ch c h x + 4x y xy + x y y 1x + x y 4y 1x + x y 4y 1x + 999x y 4y 1x x 6 y + x 7 y 4y 11 [10]

3 X09 Algebra II Chapter 1 Test Page 11. Solve: x + 4 = [11] 1. Evaluate x+ 6y for x = 1 and y = 4. 6 [1] 1. Which of the following number lines shows the graphs of 7, 1, and? [1] 14. Evaluate + a for a =. 1 1 [14] 1. Solve: 14b 10 1b + 17 b 7 b = 7 9 b 7 b 4 [1] 16. Solve for A: B = (A 9). B + 16 B + 1 B + B + 7 [16] 17. Use an equation to model the sentence. How many raisins are left in a jar of 4 raisins after you have eaten some? R = 4 R = 4 R = 4 R = 4 + [17]

4 X09 Algebra II Chapter 1 Test Page 4 1. You are saving money to buy a new pair of shoes that costs $7. You have $40 saved. How much more money do you need to save? Use the verbal model to assign labels and write an equation to represent the problem, then solve. Amount Amount left + = Cost Saved to save Amount saved = x ; Amount left to save = $7, Cost = $40; 40 + x = 7 ; $97 Amount saved = $40; Amount left to save = x, Cost = $7; 40 + x = 7 ; $17 Amount saved = $7; Amount left to save = x, Cost = $40; x + 40 = 7 ; $97 Amount saved = x ; Amount left to save = $40, Cost = $7; x + 40 = 7 ; $17 [1] 19. Sandy has to figure out the square footage of the shaded portion of the wall below in order to calculate the amount of paint needed to repaint it. 6 ft 1 ft What is the area of the shaded portion? 4 sq ft 16 sq ft 64 sq ft 196 sq ft [19] 0. Simplify: xy 7xy 4xy xy 6 4 1x y + 9xy + 1xy 9xy 4xy xy 4xy xy + [0] 1. The literature club is printing a storybook to raise money. The print shop charges $4 for each book, and $40 to create the film. How many books can the club print if their budget is $1040? 60 0 [1]

5 X09 Algebra II Chapter 1 Test Page. Which of the numbers is the solution of 94 = 106 x? none of the above []. Solve for t : = 4s t. t s = 4 t = 4s t = t 4 s = 4 s [] 4. An oil tank contains 0. gallons of oil. Whenever the amount of oil drops below 60 gallons, an alarm sounds. If gallons are pumped into a delivery truck, how many gallons must be pumped back into the tank in order to shut off the alarm? at least. gallons at least 10. gallons at least.9 gallons at least 7.1 gallons [4]. Solve for u : u w = u+ 4w u u w = + u w = 4 u w u = u w = 4 [] ORQ: Write an inequality that represents the given situation. A. Water will remain a gas for all temperatures greater than 100 Celsius. Answer: x > 100 B. Jack earns less than $0 each week. C. This elevator can carry at most 600 pounds. _ D. Meng's car gets at least 9.4 miles per gallon. _