Pre-Algebra Semester 1 Practice Exam A

Transcription

1 . Evaluate y when = 0 and y = Which epression is equivalent to ?. In math class, we follow the order of operations when evaluating epressions. Which is the second operation a student would perform to evaluate the epression below? 5 + addition division subtraction multiplication. The table below shows the yardage gained and lost on the first 8 plays of a football game. Play Yardage What is the order of the yardage from least to greatest? 8,,, +, +, + 5, + 6, + 7 8, + 7, + 6, + 5,,, +, + +, +,,, + 5, +6, + 7, 8 + 7,, +, 8, + 5, + 6,, + 5. What is the value of 0 +? GO ON Clark County School District Revised 06/0/0

2 6. Eddie s savings account has a balance of $0. He deposits $7 for each of the net five weeks. He withdraws $ in the final week. He wants to use his savings to buy a game system that costs $0. Does he have enough money to buy the game system? If yes, how much etra money does he have? If no, how much more does he need to save? NO, he needs $ more NO, he needs $6 more YES, he has $ etra YES, he has $6 etra 7. What is the value of 5+ 9? 8. Calculate the value of ( ) On the coordinate plane below, which point represents the coordinates,? ( ) Point A Point B Point C Point D D - C 0. Which equation illustrates the commutative property of multiplication? 5 = 5 A 6 - ( 5 ) = ( 5 ) 5 ( + ) = ( + 5) 5 ( + ) = y B GO ON Clark County School District Revised 06/0/0

3 . A mathematics teacher wrote this procedure on the board. Step : ( ) Step : + Step : + Step : Which properties justify Step and then Step? distributive property, commutative property distributive property, associative property commutative property, distributive property commutative property, associative property. Which epression below shows a correct use of the distributive property? ( a ) 5a a+ 7 a+ 5a+ 7 a 5a+ 7 a+ 5a+ 7 a+. Simplify the epression below. ( k ) 5 7 k+ 6k 6k + 8 5k 5k + 8. Alicia is paid y dollars per hour for the first 0 hours of work, plus she earns time-and-a-half pay for every hour worked over 0 hours. Write an epression in terms of y to find Alicia s total pay if she worked 55 hours in one week? 0y+ 5(.5y) 0y+ 5( y+.5) 0y+ 55(.5y) 0y+ 55( y+.5) 5. In which of the following is the given value for the variable a solution of the equation? a+ 9=, a= b=, b= 5 9 = 7 c, c= d = 8, d = 6. Solve for in the equation below. 9 = GO ON Clark County School District Revised 06/0/0

4 7. Find the value of w that satisfies the equation below. w = Solve for d in the equation below. 9= d Which of the following would be the best choice for the first step in solving for b in the equation below? 8+ b = 0 add 8 to both sides of the equation subtract 8 from both sides of the equation multiply both sides of the equation by divide both sides of the equation by. Nine less than twice a number is thirtyone. What is the number? 0 0. What is the solution to the equation below? 0 (+ ) + 7 =. What value of makes the equation below true? + = What is the value of that satisfies the equation 5 + 0= 5? GO ON Clark County School District Revised 06/0/0

5 . A gym charges nonmembers $8 per day to use the tennis courts plus $7 per day to rent equipment. Members pay $600 annual dues plus $5 per day for equipment rental. How many days must a nonmember and a member of the gym use the tennis courts in one year so that they both pay the same amount? 0 days 6 days 0 days 6 days 5. Which equation has eactly one solution? + 7= ( 6) = ( + ) = = Which epression is equivalent to ( 0 ) ( 0) ? 9. What is the prime factorization of 6? Find the greatest common factor (GCF) of 9 y and 5 y. 5 5 y 6. Which epression is equivalent to Simplify ? 5 y 5 y y. Write the fraction below in simplest form. ab 0ab a 5b a 5 5b a 0b a 5 0b GO ON Clark County School District Revised 06/0/0

6 . Find the least common multiple (LCM) of 6 y and y. 6 y 6 y y 6. What fraction is equivalent to 0.65? 5 0 y. What is form? written in standard ,800 78,000. What is 0,000 written in scientific notation? Which number is NOT equivalent to.. 9? 7. What is the decimal equivalent of? Which set of numbers is ordered from least to greatest? 0 7.,,, 0.9, ,,, 0.9, ,, 0.9, 0.9 0, 8 0 7,., 0.9, 0.9, GO ON Clark County School District Revised 06/0/0

7 9. Chelsea leaves her house and goes directly toward the mall. She has miles to go before arriving at her destination. The distance between her house and the mall is 7 miles. How far has she traveled from her house? 9 miles 6 miles 6 miles 5 miles 0. Evaluate y if = and y = Linda has a ribbon that is 6 feet long. If she cuts the ribbon into 0 equal pieces, what is the length of each piece? 5 feet 5 6 feet feet feet. Solve the given equation for. 7 = Which process was used to obtain the inequality shown in step? Step : + < 5 Step : 5 + < 0 subtracted 5 from both sides of the inequality added 8 to both sides of the inequality multiplied both sides of the inequality by 0 divided both sides of the inequality by GO ON Clark County School District Revised 06/0/0

8 . Travis has a choice of two sizes of strawberry jam at the grocery store. The 8-ounce jar costs $.5, while the 6- ounce jar costs $.88. If he rounds to the nearest cent, which is the more economical buy and why? The 8-ounce, because it s priced at cents per ounce The 8-ounce, because it s priced at cents per ounce The 6-ounce, because it s priced at cents per ounce The 6-ounce, because it s priced at cents per ounce 5. Lance and friends go to the movie. If the total cost of the tickets is $, how much did each movie ticket cost? $8.0 $8.5 $0.00 $ Which number line represents the solution of the equation below? + = GO ON Clark County School District Revised 06/0/0

9 Pre-Algebra 8 Semester Practice Eam A 7. A train travels 55 miles in hours. How far will the train travel in 5 hours at the same rate? 50 miles 5 miles 5 miles 85 miles 8. Triangle WXY is similar to triangle RST shown below. W in X in Y R 6in S 8in Which proportion describes the relationship between corresponding sides of the triangles? T Note: Figures not drawn to scale. XY 8 ST = XY RS = 6 WX RS = 6 WX ST = 8 9. The two rectangles shown below are similar. 6 m 0 m What is the length of side?.8 m 7.5 m 8.0 m. m 8m Note: Figures not drawn to scale GO ON Clark County School District Revised 06/0/0

10 Pre-Algebra 8 Semester Practice Eam A 50. A student that is 5 feet tall casts a shadow a shadow feet long. What is the height of the tree? 9.8 feet.5 feet 0.0 feet.5 feet feet long. At the same time, a nearby tree casts Clark County School District Revised 07//009

11 Free Response. A student believes 7. 0 represents a number that is 80 times larger than the number represented by What error is this student making? Please show all work and eplain your reasoning GO ON Clark County School District Revised 07//009

12 Free Response. A local ski resort charges $55.00 for an all-day ski pass and $5.00 for equipment rentals. Liam can purchase all necessary ski equipment at a local sporting goods store for $50.00 along with a discounted season ski pass for an additional $ How many times would Liam need to go skiing in order for the cost of buying ski equipment and a discounted season ski pass to be less epensive than renting equipment and paying the $55.00 daily ski pass price? Please show all work and eplain your reasoning GO ON Clark County School District Revised 07//009

13 Free Response. The students in the Math Club are going to sell juice as a fundraiser. They need cups of juice to make 5 servings. The students will be selling the juice for days and plan to sell 75 servings of juice each day. How many cups of juice will be needed for the days? Please show all work and eplain your reasoning. Juice is sold in half-gallon jugs. How many jugs of juice will the students need to purchase? Please show all work and eplain your reasoning. ( gallon = 6 cups) Clark County School District Revised 07//009

14 PRE ALGEBRA HS SEMESTER EXAM ITEM SPECIFICATION SHEET & KEY Free Response # Objective Represent numbers using scientific notation. Use numbers epressed in the form of a single digit times an integer power of 0 to estimate very large or very small quantities. Epress how many times as much one number epressed in scientific notation is than another. Perform operations with numbers epressed in scientific notation, including problems where both decimal and scientific notation are used. Evaluate variable and numerical epressions using the order of operations. Solve equations with variables on both sides. Solve linear equations with rational number coefficients, including equations whose solutions require epanding epressions using the distributive property and collecting like terms. Solve problems using proportions. Identify, eplain and apply mathematics in everyday life. NV or CC # Objective Syllabus Objective State Standard Key Evaluate variable epressions...8. D Identify and use powers...8. D Use order of operations to evaluate epressions...8. C Compare and order integers...8. A 5 Evaluate absolute value epressions...8. D 6 Operate with integers C 7 Operate with integers C 8 Operate with integers A 9 Identify and plot points on a coordinate plane D 0 Identify properties of addition and multiplication...8. A Identify properties of addition and multiplication...8. A Identify properties of addition and multiplication...8. B Simplify variable epressions...7. B Use variable epressions to find a solution to an.7.. everyday situation..8. A 5 Solve one step equations...8. B 6 Solve one step equations...8. C 7 Solve one step equations...8. A 8 Solve one step equations involving decimals D 9 Solve step equations A 0 Solve step equations B Solve step equations D Solve multi step equations D Solve equations with variables on both sides A Syllabus Objective.5 8.EE. 8.EE. 8.EE EE.7b.8. NV State Standard.8. 8.EE. 8.EE EE.7b Page of Revised: 05//0 Clark County School District

15 PRE ALGEBRA HS SEMESTER EXAM ITEM SPECIFICATION SHEET & KEY NV or CC # Objective Syllabus Objective State Standard Key Use an equation to find a solution to an everyday situation C 5 Show whether a linear equation in one variable has one solution, infinitely many solutions, or no solutions by successively transforming the given equation into simpler forms, until an equivalent equation of the form = a, a = a, or a = b results (where a and b are different numbers). 8.EE.7a 8.EE.7a C 6 Know and apply the properties of integer eponents 8.EE. to generate equivalent numerical epressions. 8.EE. 8.EE. B 7 Know and apply the properties of integer eponents 8.EE. to generate equivalent numerical epressions. 8.EE. 8.EE. C 8 Know and apply the properties of integer eponents 8.EE. to generate equivalent numerical epressions. 8.EE. 8.EE. A 9 Write the prime factorization of a number B 0 Find the GCF of two or more numbers, including monomial terms D Write equivalent fractions, including algebraic fractions A Find the LCM of two or more numbers, including monomial terms D Convert numbers between scientific notation and standard form B Convert numbers between scientific notation and standard form D 5 Write equivalent rational numbers B 6 Write fractions as decimals and vice versa C 7 Write fractions as decimals and vice versa D 8 Compare and order rational numbers B 9 Operate with rational numbers D 0 Evaluate epressions with rational numbers B Operate with rational numbers B Use multiplicative inverses to solve equations A Use the LCD to solve equations and inequalities C Find and compare unit rates C 5 Find unit rates B 6 Graph the solution set of a linear equation in one variable B 7 Write and solve proportions B 8 Find the ratio of corresponding side lengths of similar figures C 9 Find unknown side lengths of similar figures A 50 Apply ratios and proportions to solve problems involving indirect measurement C 0 0 Page of Revised: 05//0 Clark County School District