Version B Pre-Algebra Practice Semester 1 Exam

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1 Version B Pre-Algebra Practice Semester 1 Eam 1. Which number is equivalent to 5 2? 9 4. What is the solution to the system of equations? (A) 2.59 (B) (D) Which fraction is equivalent to 0.875? (A) (B) (D) 5 4. A giraffe was born 5 feet tall. The giraffe grows 2 feet each month. Which line best represents the growth of the giraffe for its first 12 months? A B C D (A) 2,0 (B) 0,2 0, 2 (D) 2,2 height in feet 5. What value of makes the system of equations true? (A) Line A (B) Line B Line C (D) Line D months y 145 y 5 12 (A) 5 (B) 0 (D) GO ON

2 Version B Pre-Algebra Practice Semester 1 Eam 6. For $60, a rock climbing gym offers a yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. After how many visits is the total cost for a member, including the membership fee and equipment rental, the same as the total cost for nonmembers? (A) 18 (B) 0 59 (D) Which equation has eactly one solution? (A) 7 2 (B) 2( 6) 2 12 ( 2) 2 5 (D) Simplify (A) (B) (D) Which is equivalent to 7? (A) 0 (B) 1 (D) Write the fraction in simplest form: (A) 9 2 y y 2 1 (B) 2 y (D) 2 y y Complete the equation so that it has infinitely many solutions. (A) 9 (B) 6 6 (D) Solve for ? (A) 2 (B) 1 1 (D) 2 1. The length of a pencil is given as units. Which is the most reasonable unit of measure? (A) inches (B) feet yards (D) miles GO ON

3 Version B Pre-Algebra Practice Semester 1 Eam 14. This division problem is entered into a scientific calculator: ( E 7) (2 E ). Which shows what the calculator may display? (A) 1.5 E 4 (B) 1.5 E E 4 (D) 1.5 E In 2010, the population of the United 8 States was estimated as people. The population of California was estimated 7 as.7 10 people. About how many times greater is the population of the United Stated than the population of California? (A) 2 times (B) 5 times 10 times (D) 20 times 16. Tommy and Larry began reading the same book at the same time. Each boy reads at different rates. After 4 minutes, Tommy is on page 6. After 2 minutes, Larry is on page 4. Who is reading at a greater rate of change? (A) Tommy s reading rate which is pages/min. (B) Larry s reading rate which is pages/min Tommy s reading rate which is 2 pages/min. (D) Larry s reading rate which is 2 pages/min. 17. Kate borrows $450 from her mother and agrees to pay her back the same amount each month without interest. After 5 month she still owes her mother $70. Choose the linear function that models the amount Kate owed her mother each month since she borrowed the money. (A) y70 80 (B) y70 16 y (D) y GO ON

4 Version B Pre-Algebra Practice Semester 1 Eam Use the given information to answer questions Function 1: Function 2: y 2 Function : y The table shows points on a line. y What are the y-intercept and rate of change of the line? (A) intercept = 2 Rate of change = 1 (B) intercept = 0 Rate of change = 12 intercept = 10 Rate of change = 4 (D) intercept = 12 Rate of change = What is the y-intercept for Function 1? (A) 0 (B) 1 2 (D) Which function has a greater slope? (A) Function 1 (B) Function 2 Function (D) All are the same 20. Which function is a proportional relationship? (A) Function 1 (B) Function 2 Function (D) None 22. What is form? written in standard (A) (B) ,000 (D) 21,500, What is 621,000,000 written in scientific notation? (A) (B) (D) GO ON

5 Version B Pre-Algebra Practice Semester 1 Eam 24. How many solutions does the following system of equations have? 6y6 2y Given the graph of the line, what is the correct linear equation? (A) One solution (B) Two solutions Infinitely many (D) No solutions 25. What ordered pair satisfies both equations? y 2 1 y 2 (A) 6,9 (B) 4,5 2, 1 (D) 2,2 2 (A) y 4 2 (B) y 6 y (D) y Solve for b. 1 2 b b (A) (B) 4 b 12 1 b b 1 (D) b GO ON

6 Version B Pre-Algebra Practice Semester 1 Eam 28. Which of the following numbers are rational? I. II. 7 III. 2 9 IV. 11 (A) III and IV (B) II and III IV only (D) II only 29. Which of the following representations are linear functions. I. 5,24,6 0,5,4 1,5 II. y 0. Which scenario has a greater rate of change? Scenario 1: Scenario 2: y 65 is time in hours y is distance in miles (A) Scenario 1 (B) Scenario 2 They are the same. III. y Which input/output pairs match the graph below? (A) I only (B) II only II and III (D) I and III (A) 1,0 1,,5,6 (B) 0,1, 1, 6,5 1,0 6,5,, 1 (D) 0,1, 1, 6, GO ON

7 Version B Pre-Algebra Practice Semester 1 Eam 2. The volume of the three planets is shown below: Mars Earth Venus What is the volume of all three planets added together? 12 (A) 11.9 (B) (D) Which of the following tables represent functions? I. Input Output II. Input Output III. Input Output IV. Input Output (A) I and IV only (B) II and III only I, II, and IV only (D) I, III, and IV only GO ON

8 Version B Pre-Algebra Practice Semester 1 Eam 4. Which graph below represents a function? I. II. 5. Which graph best represents the equation y? (A) III. IV. (A) I and III only (B) II and IV only II, III, and IV only (D) I, II, III and IV (B) (D) GO ON

9 Version B Pre-Algebra Practice Semester 1 Eam 6. Triangle ABC is similar to triangle KLM where the ratio of proportionality is 8 and AB = 16 centimeters. What is KL? A (A) 2 cm (B) 6 cm 24 cm (D) 48 cm B 7. The graph below shows how much it costs to stay at the Dunes Hotel. C K L M 8. For which equation is the set of ordered pairs a solution? 1,1 0, 2,5 1, 7 (A) y2 (B) y4 y (D) y 9. In the diagram, AC is the hypotenuse of the right triangle ABC and, CE is the hypotenuse of the right triangle CDE. B D C E A The equation below shows how much it costs to stay at the Sands Hotel. y 125, where is the number of nights Which of the following statements is true? (A) The nightly rate is the same for both hotels. (B) The nightly rate for the Sands Hotel is greater than the nightly rate of the Dunes Hotel. The nightly rate for the Dunes Hotel is greater than the nightly rate of the Sands Hotel. (D) You cannot compare their nightly rates because they are NOT proportional. I. II. CE AC CB ED ABC is similar to CDE III. The slope of AC is the same as the slope of CE. (A) I and II only (B) II and III only I, II, and III (D) None are true GO ON

10 Practice B Pre-Algebra Semester 1 Eam Constructed Response 1. The table shows the approimate populations of several countries in Country China Fiji Iceland Russia Population (a) Which country has the greatest population? (b) Which county has the least population? (c) How many times greater is the population of the country in part A than the population of the country in part B? Eplain GO ON

11 Practice B Pre-Algebra Semester 1 Eam Constructed Response 2. The local gym offers two different yearly plans: Plan One:$115 per year Plan Two: $25 per year plus $5 per visit (a) Let T = Total cost of gym membership and v = number of gym visits. Write linear equations to model Plan One and Plan Two. (b) Graph Plan One and Plan Two in a coordinate plane. (c) After how many visits will the cost of the two plans be equal? Show your work to support your answer GO ON

12 Practice B Pre-Algebra Semester 1 Eam Constructed Response. Eplain the difference between a rational and irrational number and give an eample of each

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