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Test Bank for Introductory and Intermediate Algebra for College Students, 6th Edition

Test Bank for Introductory and Intermediate Algebra for College Students, 6th Edition provides targeted exam strategies, ensuring you approach each question with clarity and precision.

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    Name _________________________________ Date _________________________ T-1 Chapter 1 Form A For problems 1 – 8, perform the indicated operation or operations. 1. 9 – (–2) + (3 – 4) 1. _______________ 2. 2 1 3 2   2. _______________ 3. 10 ÷ –5 · 4 3. _______________ 4.                9 4 3 2 4. _______________ 5. 2 ) 3 4 ( 2 7   5. _______________ 6. 2 5  6. _______________ 7. 2 3 ) 8 4 ( ) 6 3 (   7. _______________ 8. 4 3 2 ) 4 2 ( 3 3     8. _______________ For problems 9 – 10, simplify each algebraic expression. 9. ) 4 ( 3 ) 3 2 ( 4 b a b a    9. _______________ 10. )] 1 ( 3 5 [ 4 8    x x 10. _______________ 11. List all the whole numbers in this set: 11. _______________         9 , , 7 . 1 , 0 , 1 , 3 4 

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    T-2 12. Give an example of a number that is an integer but not a 12. _______________ whole number. 13. Insert either < or > in the boxed area to make a true statement: 13. _______________ –6 –10 14. Find the absolute value: | 4.5 | - 14. _______________ For problems 15 – 16, plot and label the given point in the rectangular coordinate system below. Indicate in which quadrant each point lies. 15.        3 , 2 1 15. _______________ 16. (–4, 4) 16. _______________ 17. Find the coordinates of point C on the above graph. 17. _______________ For problems 18 – 19, evaluate each algebraic expression for the given value of the variable. 18. 2 ); 3 ( 6    x x 18. _______________ 19. 2 ; 4    x x x 19. _______________ 20. Use the associative property of addition to write an equivalent 20. _______________ algebraic expression. Then simplify the expression. ) 5 ( 3 x  

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    Name _________________________________ Date _________________________ T-3 21. Use the commutative property of multiplication to write an 21. _______________ equivalent algebraic expression. Then simplify the expression. 2 ) 4 ( x 22. The formula 32 9 5   C F expresses the relationship between 22. _______________ Celsius temperature, C , and Fahrenheit temperature, F . What is the Fahrenheit temperature equivalent to 72° C ? For problems 23 – 24, the graph below represents the number of fish present in an aquarium. 23. Find the coordinates of point A and interpret the coordinates in 23. _______________ terms of the information given. 24. How many fish were initially placed in the aquarium? 24. _______________ 25. What is the difference in elevation between a plane traveling 25. _______________ 21,625 feet above sea level and a submarine traveling 412 feet below sea level?

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    T-4 Chapter 1 Form B For problems 1 – 8, perform the indicated operation or operations. 1. ( – 2 – 3) + (–4 – ( –2)) 1. _______________ 2. 5 3 4 3   2. _______________ 3. –8 + 8 ÷ 4 3. _______________ 4.               8 7 7 6 4. _______________ 5. ) 6 5 ( 2 3 2 2    5. _______________ 6. 2 3  6. _______________ 7. 2 3 ) 6 4 ( ) 2 5 (   7. _______________ 8. ) 1 3 )( 2 1 ( ) 2 12 ( 4 4      8. _______________ For problems 9 – 10, simplify each algebraic expression. 9. ) 6 4 ( ) 1 2 ( 7    x x 9. _______________ 10. )] 1 ( 3 5 [ 2    a a 10. _______________ 11. List all the irrational numbers in this set: 11. _______________           , 46 . 1 , 0 , 3 2 , 4 , 29

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    Name _________________________________ Date _________________________ T-5 12. Give an example of a number that is a rational number but not 12. _______________ an integer. 13. Insert either < or > in the boxed area to make a true statement: 13. _______________ –5 –2 14. Find the absolute value: 3 2  14. _______________ For problems 15 – 16, plot and label the given point in the rectangular coordinate system below. Indicate in which quadrant each point lies. 15.   3 , 4  15. _______________ 16.        5 4 , 3 16. _______________ 17. Find the coordinates of point C on the above graph. 17. _______________ For problems 18 – 19, evaluate each algebraic expression for the given value of the variable. 18. 3 ); 5 ( 2     x x 18. _______________ 19. 1 ; 2    x x x 19. _______________ 20. Use the distributive property to rewrite without parentheses: 20. _______________ ) 1 8 4 ( 7    y x

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    T-6 21. Use the associative property of multiplication to write an 21. _______________ equivalent algebraic expression. Then simplify the expression. ) 3 ( 5 x 22. The formula used to calculate the percentage of body fat for men 22. _______________ is % Body fat = b b w 082 . 0 15 . 4 42 . 98    where w is the waist measurement in inches and b is the total body weight in pounds. What is the percentage of body fat for a man weighing 175 pounds and a waist measurement of 38 inches? Round the percentage to the nearest integer. For problems 23 – 24, the graph below represents the introduction of an endangered bird species into a wildlife refuge. The population of the bird species is monitored and recorded each year. 23. How many of the endangered birds were introduced into the 23. _______________ wildlife refuge? 24. Find the approximate coordinates of point A and interpret the 24. _______________ coordinates in terms of the information given. 25. What is the difference in elevation between a mountain climber 25. _______________ 5186 feet above sea level and a scuba diver 25 feet below sea level?

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    Name _________________________________ Date _________________________ T-7 Chapter 1 Form C For problems 1 – 8, perform the indicated operation or operations. 1. 2( – 47 + 15) – (32 – 40) 1. _______________ 2.         33 4 11 10 2. _______________ 3. 15 + 9 ÷ 3 3. _______________ 4.               5 4 125 48 4. _______________ 5. 3 4 ) 2 7 ( ) 10 8 (   5. _______________ 6. 2 8  6. _______________ 7. 3 4 ) 2 7 ( ) 10 8 (   7. _______________ 8. 3 2 4 ) 3 5 ( ) 3 ( 2 2     8. _______________ For problems 9 – 10, simplify each algebraic expression. 9. ) 1 3 ( 4 5   x 9. _______________ 10. )] 1 ( 2 5 [ 3     x x 10. _______________ 11. List all the irrational numbers in this set: 11. _______________         2 9 , ..., 333 . 0 , 0 , 3 , 5 

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    T-8 12. Give an example of a number that is a whole number but not 12. _______________ a natural number. 13. Insert either < or > in the boxed area to make a true statement: 13. _______________ –86 –100 14. Find the absolute value: 24 . 1  14. _______________ 15. Is 2 5 a solution to the equation ( ) 5 4 6 x + = ? 15. _______________ 16. Determine whether the statement below is true or false: 16. _______________ All rational numbers are whole numbers. Translate the following from English to an algebraic expression or equation. Do not solve. 17. A number decreased by ten is equal to three times the sum 17. _______________ of the number and two. For problems 18 – 19, evaluate each algebraic expression for the given value of the variable. 18. 1 ); 3 )( 2 (     x x x 18. _______________ 19. 3 ; 4     x x x x 19. _______________

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    Name _________________________________ Date _________________________ T-9 20. Use the commutative property of addition to write an equivalent 20. _______________ algebraic expression. Then simplify the expression. 4 3 x + - 21. Use the associative property of multiplication to write an 21. _______________ equivalent algebraic expression. Then simplify the expression. ( ) 2 4 x - 22. The formula for converting degrees Fahrenheit ( F ) to degrees 22. _______________ Celsius ( C ) is ). 32 ) ( 9 5   F C Find C when F is 86°. For problems 23 – 24, use the circle graph shown in the chart below. The circle graph shows the percentage of 7th, 8th, and 9th graders in a local junior high school with a total enrollment of 840 students. 23. How many students are 7th graders? 23. _______________ 24. How many students are not 7th graders? 24. _______________ 25. What is the difference in elevation between a hang glider at 25. _______________ 130 feet above sea level and a submarine 716 feet below sea level? 7th 3/10 8th 8/25 9th 19/50

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    T-10 Chapter 1 Form D Choose the correct answer to each problem. 1. Find 698 – [77 – (64 – 34)] – 24 a. 615 b. 627 c. 499 d. 675 2. Find         6 1 5 2 a. 30 7 b. 30 17  c. 30 7  d. 30 17 3. Find 8 – 6 ÷ 2 a. 1 b. –24 c. –1 d. 5 4. Find               50 42 25 7 a. 3 1  b. 50 35 c. 6 2  d. 10 7 5. Find     2 2 2 2 7 3 2    a. –68 b. –86 c. 405 d. –405 6. Find 2 12  a. –24 b. 24 c. –144 d. 144 7. Find ) 4 ( 3 ) 13 11 ( 5 6 2    a. 28 b. 16 c. –2 d. 38

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    Name _________________________________ Date _________________________ T-11 8. Find 2 3 8 ) 3 12 ( 8 2 2     a. 29 324  b. 81 c. 5 725 d. –16.125 9. Find 19 17  a. 19 17 b. 17 2 1 c. 19 17  d. 17 2 1  10. Simplify ) 4 ( 3 ) 2 ( 5     x x x a. 14  x b. 14 9  x c. 14  x d. 10  x 11. Simplify )] 3 ( 2 4 [ 3    y a. 6 6  y b. 30 6  y c. 18 6   y d. 18 2   y 12. Evaluate 4 2 2    x x for x = –2 a. –4 b. –64 c. –12 d. –8 13. True or False: The number –7 is an integer, a rational number and a whole number. For problem 14, the circle graph below shows the level of education of teachers in the local school district. 14. If there are 1400 teachers in the district, how many have a Bachelor’s degree only? a. 378 b. 588 c. 406 d. 280 Bachelors 21/50 Doctors 1/50 Bachelors + 15 units 27/100 Masters 29/100

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    T-12 15. Identify the property or operation that is illustrated by ) 3 2 ( 3 ) 2 (      x x . a. Associative property of addition b. Associative property of multiplication c. Commutative property of addition d. Commutative property of multiplication 16. Identify the property or operation that is illustrated by b ab a b 4 2 ) 2 ( 2    a. Associative property of addition b. Commutative property of multiplication c. Distributive property d. Commutative property of addition 17. The formula for the area of a circle is 2 r A   , where r is the radius and π is approximately 3.14. Find the area of a circle with the radius of 4m. a. 12.56 m 2 b. 16 m 2 c. 157.75 m 2 d. 50.24 m 2 18. Choose the solution to the equation 4 3 5 x - = . a. 1 b. –2 c. 5 d. 2 19. Choose the correct solution to the equation 5 2 9 x - = - . a. 2 b. –2 c. 7 d. –7 20. Translate to an algebraic expression or equation. Two less than five times a number is eight. a. 2 5 8 x - = b. ( ) 2 5 8 x = c. 5 2 8 x - = d. 2 5 8 x - =

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    Name _________________________________ Date _________________________ T-13 Chapter 1 Form E Choose the correct answer to each problem. 1. Find 296 – [49 – (17 – 51)] a. 213 b. 281 c. 379 d. 311 2. Find 17 – 6 · 3 + 4 ÷ 2 a. 2 37 b. 35 c. 2 3 d. 1 3. Add                8 5 12 7 a. 24 29 b. 24 29  c. 96 35 d. 15 14 4. Divide               3 20 44 15 a. 176 9 b. 11 1  c. 11 25  d. 176 9  5. Find     2 2 2 2 3 19 11   a. 320 b. –320 c. 64 d. –64 6. Find 2 14  a. –28 b. 28 c. 196 d. –196 7. Find 19 18  a. 19 18  b. 18 1 1  c. 19 18 d. 18 1 1 8. Find 2 5 2 4 ) 5 12 ( 4 5 2      a. 49 b. 2 49 c. 2 191 d. 0 49

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    T-14 9. Simplify ) 3 ( 10 12 y x   a. y x 30 10 12   b. y x 30 10 12   c. y x 6 2  d. y x 360 120   10. Simplify )] 4 ( 4 [ 3    x x a. 24 b. 0 c. 16 2  x d. 8 2  x 11. Simplify 2 3 2 3 6 3 4 x x x x    a. 4 6 2 10 x x  b. 5 7 x x  c. 2 3 2 10 x x  d. 6 8 x 12. Evaluate 3 4 x x  for x = –4 a. –192 b. 192 c. –4 d. 320 13. What is the best classification for 11 ? a. Irrational number, real number b. Integer, rational number, real number c. Whole number, integer, rational d. Real Number number, real number For problem 14, the circle graph below shows the television ownership status for a certain community. 14. If there are 144,000 people in the community, how many people own 2 televisions? a. 42,340 b. 70,080 c. 7300 d. 24,820 15. Identify the property or operation that is illustrated by ) 4 3 ( 4 ) 3 (      x x . a. Commutative property of addition b. Associative property of multiplication c. Commutative property of multiplication d. Associative property of addition No TV 1/100 4 or more TVs 1/20 2 TVs 12/25 3 TVs 29/100 1 TV 17/100

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    Name _________________________________ Date _________________________ T-15 16. Identify the property or operation that is illustrated by 2 4 4 2    a. Commutative property of addition b. Associative property of multiplication c. Commutative property of multiplication d. Associative property of addition 17. The formula for the perimeter, P , of a rectangle is W L P 2 2   where L is the length and W is the width. What is the perimeter of a rectangle with the length of 4 feet and the width of 2 5 feet? a. 13 feet b. 18 feet c. 21 feet d. 2 13 feet 18. Find the solution to the equation: 14 4 10 x - - = a. –6 b. 1 c. –1 d. 6 19. Translate to an algebraic expression or equation. Seven less than twice a number is three more than the number. a. 7 2 3 x x - = + b. 7 2 3 x x - = c. 2 7 3 x x - = - d. 2 7 3 x x - = + 20. Multiply: ( )( )( )( )( ) 6 3 2 1 5 - - - a. –185 b. –180 c. –150 d. 150

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