Pre-Algebra Semester 1 Practice Exam A
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1 . Evaluate xy when x 0 and y Which expression is equivalent to x x x xxx x x xxx x x?. In math class, we follow the order of operations when evaluating expressions. Which is the second operation a student would perform to evaluate the expression below? 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,,,,,, 6, 7 8, 7, 6,,,,,,,,,, +6, 7, 8 7,,, 8,, 6,,. What is the value of 0? GO ON Clark County School District Revised 07//009
2 6. Eddie s savings account has a balance of $0. He deposits $7 for each of the next 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 extra 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 $ extra YES, he has $6 extra 7. What is the value of 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? A y B x GO ON Clark County School District Revised 07//009
3 . A mathematics teacher wrote this procedure on the board. Step : x 7 x Step : x x Step : xx Step : x Which properties justify Step and then Step? distributive property, commutative property distributive property, associative property commutative property, distributive property commutative property, associative property. Which expression below shows a correct use of the distributive property? a7 a a7a a7a a7a a7a. Simplify the expression below. k7 k 6k 6k 8 k k 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 expression in terms of y to find Alicia s total pay if she worked hours in one week? 0y.y 0y y. 0y.y 0y y.. In which of the following is the given value for the variable a solution of the equation? a 9, a b, b 9 7 c, c d 8, d 6. Solve for x in the equation below. 9 x GO ON Clark County School District Revised 07//009
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? 8b 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 (x) 7x. What value of x makes the equation below true? x 8x 0. What is the value of x that satisfies the equation x 0? GO ON Clark County School District Revised 07//009
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 $ 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. Which number line represents the solution of the inequality below? x 6. Solve the inequality for x. 8x 0 x x x x 7. What values of x satisfy the inequality below? x x x x 7 x 7 8. Which number line represents the solution(s) to the equation below? x 9. What is the prime factorization of 6? GO ON Clark County School District Revised 07//009
6 0. Find the greatest common factor (GCF) of 9 x y and x y.. What is form?.78 0 written in standard x y x y x y x y ,800 78,000. Write the fraction below in simplest form. ab 0ab a b a b a 0b a 0b. Find the least common multiple (LCM) of 6 x y and x y.. What is 0,000 written in scientific notation? Which number is NOT equivalent to.. 9? 6x y 6x y x y x y GO ON Clark County School District Revised 07//009
7 6. What fraction is equivalent to 0.6? 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, 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 miles 0. Evaluate x y if x = and y = GO ON Clark County School District Revised 07//009
8 . 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? feet 6 feet feet feet. Solve the given equation for x. x Travis has a choice of two sizes of strawberry jam at the grocery store. The 8-ounce jar costs $., 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. 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. $0.00 $ Which number line represents the solution of the equation below?. Which process was used to obtain the inequality shown in step? x Step : Step : x 0 subtracted 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 0 x 6 x x x x GO ON Clark County School District Revised 07//009
9 Pre-Algebra 8 Semester Practice Exam A 7. A train travels miles in hours. How far will the train travel in hours at the same rate? 0 miles miles miles 8 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 x 0 m What is the length of side x?.8 m 7. m 8.0 m. m 8m Note: Figures not drawn to scale GO ON Clark County School District Revised 07//009
10 Pre-Algebra 8 Semester Practice Exam A 0. A student that is feet tall casts a shadow a shadow feet long. What is the height of the tree? 9.8 feet. feet 0.0 feet. 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 explain your reasoning GO ON Clark County School District Revised 07//009
12 Free Response. A local ski resort charges $.00 for an all-day ski pass and $.00 for equipment rentals. Liam can purchase all necessary ski equipment at a local sporting goods store for $0.00 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 expensive than renting equipment and paying the $.00 daily ski pass price? Please show all work and explain 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 servings. The students will be selling the juice for days and plan to sell 7 servings of juice each day. How many cups of juice will be needed for the days? Please show all work and explain 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 explain your reasoning. ( gallon = 6 cups) Clark County School District Revised 07//009
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