PRE-ALGEBRA (PADI) PRACTICE TEST

Transcription

1 LWF Page of PRE-ALGEBRA (PADI) PRACTICE TEST Basic Math Skills A. Use the order of operations to simplify whole number expressions. Simplify: Which answer is equivalent to: ( 0 7) B. Convert between fractions, decimals, and percentages. Which is the fractional equivalent to 0.0? Convert 98% to a decimal

2 LWF Page 2 of. Convert 7 8 to a percent. 8.7% 87% 87.% 0.87% Operations with Fractions A. Convert between improper fractions and mixed numbers 6. Write 29 as a mixed number Write 7 as an improper fraction B. Find the least common denominator of fractions and compare fractions with unlike denominators 8. Which set of fractions is arranged from least to greatest? 4,, ,, 9 8,, 2 4,, 4 8 6

3 LWF Page of 9. Which fractions are equivalent? 2 and and and and Find the least common denominator for 7 8 and Which number makes a true statement: 20 =? C. Perform operations on fractions (including addition, subtraction, multiplication, and division) with real world applications 2. A cookie recipe calls for 2 2 of flour, 4 cup of sugar, and of oatmeal. How many of these dry ingredients were needed?

4 . A recipe called for LWF Page 4 of 6 4 of chicken stock. How much chicken stock would be needed if only 2 of the recipe was being made? A seamstress has 2 yards of fabric and uses curtains. How much fabric will she have left over? 2 4 yards of the fabric to sew a set of 9 4 yards 4 4 yards 0 4 yards 0 4 yards Operations with Decimals A. Perform operations on decimals (including addition, subtraction, multiplication, and division) with real world applications. Meredith s bank account had a balance of $27.6. She made purchases of $29.6 and $84.02 before depositing her paycheck of $ What is the current balance in her account? $8.0 $04.67 $672.7 $ A wall measures 2. feet by 4 feet. How much will it cost to paint the wall if the paint costs $.7 per square foot? $ $7.88 $74.7 $62.7

5 LWF Page of 7. A family s estate is worth $8,2.9 and is to be shared equally between the family s children. How much will each child receive? $7,700.9 $,704.9 $,62.9 $7,070.9 B. Calculate sales tax and commission 8. A real estate agent earned a.% commission on the sale of a house that sold for $8,000. How much commission did she receive? $64,70 $6,47 $,28 $6,74 9. Allyson bought an electric guitar that cost $46. Sales tax on the guitar was 6%. What was the total cost of the purchase, including sales tax? $ $47.0 $ $ Jessica bought a pair of boots that originally cost $0, but were on sale for 20% off. Sales tax in her area was 4.%. How much did her purchase cost, including the sales tax? $2.40 $20.00 $4.60 $88.0 Operations with Percents A. Calculate all unknowns in percent problems, including finding the percent, amount, and base 2. What percent of 80 is 60? % 48% 90% 7% 22. What is 22.% of 40?

6 LWF Page 6 of 2. Eighteen students in a microbiology class answered the first test question incorrectly. This means 4% of the class answered the question incorrectly. How many total students were enrolled in the class? Data Interpretation A. Read and interpret information from a bar graph or table 24. The chart below contains the final grade distribution for a math course. What percent of students earned a C in the course? 60% 0% 40% 0% 20% 0% 0% Course Grade Distribution A B C D F 28% 4% 48% 2%

7 LWF Page 7 of 2. The table below contains the free throw percentage for the 0 basketball players that made the local high school s varsity basketball team. What percentage of the team made over 60% of their free throws? Player Percentage of Free Throws Made Meredith 62% Ashley 7% Julia 7% Deanna 4% Lynn 80% Lori 6% Ann % Rose 4% Ally 69% Jessie 64% 0% 70% 60% 40% Constructing Expressions A. Define variables and write an expression to represent a quantity in a problem 26. Which expression represents the following statement? The length of a rectangle is inches more than twice its width. (Let L = the length of the rectangle, and let W = the width of the rectangle) L = W + L = W + 2 L = 2W L = 2W Which expression represents 8 less than the product of 9 and y? (9 + y) 8 8 9y 9y 8 8y 9 Basic Algebra A. Perform operations with integers (with real world applications) 28. At the beginning of the day, a stock was worth $48. It then lost $27 in value, gained $, and lost another $8. What was the stock s value at the end of the day? $6 $4 $26 $0

8 29. If the temperature in Fairbanks, Alaska was 2 F while the temperature in LWF Page 8 of Phoenix, Arizona was 86 F, what was the temperature difference between the two cities? 4 F 08 F 44 F 8 F B. Convert measurements within both the U.S. and metric systems 0. Convert 742 millimeters to meters meters 7.42 meters meters 74,200 meters. Convert 6 miles to yards. 0,60 yards 6,000 yards,680 yards 880 yards 2. Convert inches to centimeters. 8 centimeters.9 centimeters 0 centimeters 8. centimeters. A bus travels miles per hour on the highway. How many feet per minute is this? 4,840 feet/min,00 feet/min 74,240 feet/min 62 feet/min C. Evaluate a formula with given values for the variables Evaluate the expression: ( x ) + 4( y+ ) when x = and y = Evaluate the expression: x+ y 2 when x = and y =

9 LWF Page 9 of D. Simplify algebraic expressions 6. Simplify: 8 ( x ) + 2( x+ ) 4x + 26x 8 24x 9 26x 4 7. Simplify: x+ ( 9 x) 4 x ( 2 x) 6x 28x 24x 0x E. Solve problems using proportions 8. Six pounds of apples cost $8. How much would 9 pounds cost? $2 $72 $2 $ 9. Ashley traveled 22 miles in 4 hours. If she continued to travel at this same rate, how far would she go in 9 hours? 40 miles 76 miles 20 miles 67 miles F. Solve linear equations in one variable 40. Solve for x: (2x 9) = Solve for x: 4x = 6x

10 LWF Page 0 of 42. Solve for x: 2(x+ 4) = 8( x 8) ANSWER KEY FOR PADI. C 2. A. D 4. A. C 6. A 7. C 8. D 9. B 0. D. C 2. B. D 4. A. B 6. C 7. D 8. B 9. C 20. A 2. D 22. B 2. D 24. C 2. B 26. D 27. C 28. C 29. D 0. C. A 2. D. A 4. A. C 6. B 7. C 8. A

11 9. D 40. C 4. B 42. A LWF Page of