SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Answer the question. 1) Is this statement true or false? Why? ( 3 - 3 ) - 3 = 3 - ( 3 - 3 ) 1) Use the commutative and/or associative laws to write a series of steps verifying the given statement. 2) (y + z) + 4 is equivalent to ( 4 + z) + y 2) 3) ( 7 + y) + 7 is equivalent to y + 14 3) Provide an appropriate response. 4) Under what condition will the sum of a positive number and a negative number be negative? 4) Use the commutative and associative laws to write at least two equivalent expressions. 5) h + ( q + 30 ) 5) Use the commutative and/or associative laws to write a series of steps verifying the given statement. 6) s(t 8 ) is equivalent to 8 (ts) 6) 7) 5 + (a + b) is equivalent to b + ( 5 + a) 7) Provide an appropriate response. 8) If x and y are both replaced by negative numbers, is the value of 4 x - 2 y positive or negative? 8) Answer the question. 9) Is this statement true or false? Why? ( 1 + 1 ) - 1 = 1 + ( 1 - 1 ) 9) Provide an appropriate response. 10) What values of a and b make the result negative? - (a - b) 10) Use the commutative and/or associative laws to write a series of steps verifying the given statement. 11) x(y 2 ) is equivalent to 2 (xy) 11) Provide an appropriate response. 12) Under what condition will the sum of a positive number and a negative number be positive? 12) Use the commutative and/or associative laws to write a series of steps verifying the given statement. 13) ( G 3 )m is equivalent to 3 ( G m) 13) 1 Chapter 1 (Elementary Algebra, Concepts and Applications, 10e Marvin Bittinger, David Ellenbogen, Johnson) (Test Bank, Answer at the end of each Chapter) (For the Complete File, Download link at the end of this File) 1 / 4
14) ( 4 w) 4 is equivalent to 16 w 14) 15) (x + 4 ) + y is equivalent to 4 + (x + y). 15) Use the commutative and associative laws to write at least two equivalent expressions. 16) x ( 13 d ) 16) Use the commutative and/or associative laws to write a series of steps verifying the given statement. 17) (z 3 ) 3 is equivalent to 9 z 17) 18) (x + 4 ) + 6 is equivalent to 10 + x 18) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all the factors of the number. 19) 130 19) A) 1, 2, 5, 10, 13 , 26 , 65 , 130 B) 1, 2, 4, 5, 10, 13 , 26 , 65 , 130 C) 1, 2, 5, 10, 13 , 26 , 130 D) 2, 5, 10, 13 , 65 , 130 Perform the indicated operation and, if possible, simplify. 20) - 7 12 · 9 35 20) A) 3 4 B) - 3 20 C) - 3 4 D) 3 20 Rewrite the following fraction in two equivalent forms. 21) - 9 2 21) A) - 9 - 2 , - 9 2 B) - 2 - 9 , - - 2 9 C) - 9 2 , - 9 - 2 D) - 9 2 , 9 - 2 Determine whether the statement is true or false. 22) - 25 L - 6 22) A) False B) True Simplify. 23) 10 2 + 9 · 9 - ( 8 + 2 · 2 ) 23) A) 169 B) 161 C) 969 D) 177 Determine whether the statement is true or false. 24) - 7 K - 10 24) A) True B) False Use the commutative law of multiplication to write an equivalent expression. 25) 4 y 25) A) 4 + y B) ( 4 )y C) 4 (y + 1) D) y 4 2 2 / 4
Find decimal notation. 26) - 5 9 26) A) - 0. 5 B) - 5 . 5 C) - 0.6 D) - 1 . 6 Identify the terms in the given expression. 27) 13 - 4 ab - 8 b 27) A) 13 , - 4 ab, - 8 b B) 13 , 4 , 8 C) 13 , 4 ab, 8 b D) - 13 , - 4 , a, b, - 8 b Translate the problem to an equation. Do not solve. 28) The product of twice a number and 11 is 132 . 28) A) 22 x = 132 B) 2x + 11 = 132 C) 22 x = 132 x Simplify. 29) 8 x - ( 3 x - 8 ) - ( - 6 x + 1) 29) A) 11 x + 9 B) 17 x + 7 C) 11 x - 9 D) 11 x + 7 Subtract. 30) 11 15 - 13 15 30) A) - 28 15 B) - 2 15 C) - 1 15 D) - 2 5 Perform the indicated operation and, if possible, simplify. 31) 1 7 - 6 7 31) A) 1 2 B) - 5 14 C) 1 D) - 5 7 Simplify. 32) 32 + ( - 69 ) + 125 - ( - 14 ) - 96 32) A) 6 B) - 22 C) 144 D) 198 Solve the problem. 33) Bill takes four times as long to do a job as Jose. Suppose t represents the time it takes Bill to do the job. Then t/4 represents the time it takes Jose. How long does it take Jose if it takes Bill 52 minutes? 33) A) 56.00 minutes B) 48.00 minutes C) 13.00 minutes D) 208.00 minutes Find the following. 34) Find - ( - x) when x = 160 . 34) A) 0 B) 160 C) - 160 D) 1 160 Translate the phrase to mathematical language and simplify. 35) The difference between - 12 and - 20 35) A) - 12 + ( - 20 ); - 32 B) - 12 - ( - 20 ); 8 C) - 20 + ( - 12 ); - 32 D) - 12 - ( - 20 ); 32 3 3 / 4
Divide, if possible. If the quotient is undefined, then state this. 36) - 2 0 36) A) 1 B) 2 C) Undefined D) 0 Add. 37) - 80 + ( - 15 ) 37) A) 65 B) - 95 C) - 65 D) 95 Perform the indicated operation and, if possible, simplify. 38) 7 24 + 6 18 38) A) 5 8 B) 6 3 7 C) 13 42 D) 13 432 Solve the problem. 39) In one store, bananas cost 60 cents per pound. The cost, in dollars, of x pounds of bananas is 0.6x. What is the cost of 3.0 pounds of bananas? 39) A) $0.50 B) $5.00 C) $2.00 D) $1.80 Simplify. 40) ( - 9 ) 2 40) A) - 81 B) 81 C) 18 D) - 18 41) 5 · ( 4 + 4 ) 2 - 2 · ( 6 - 4 ) 2 41) A) 1272 B) 568 C) 312 D) 1584 Translate the problem to an equation. Do not solve. 42) 2 times a number equals 10 less than 3 times the number. 42) A) 2 x = 10 - 3 x B) 2 x = 10 - 3 C) 2 x = 3 x - 10 Combine like terms. 43) - 5 y + ( - 2 y) 43) A) - 7 y B) 7 y C) - 3 y D) - 7 y 2 Multiply. 44) ( - 2 )( - 19 )( - 1 ) · 0 · 6 44) A) 228 B) - 38 C) - 228 D) 0 Find the absolute value. 45) 7 2 45) A) - 7 2 B) 0 C) 7 2 D) ± 7 2 Combine like terms. 46) - 5 + 2 m + 10 + ( - 4 m) 46) A) - m + 5 B) - 2m + 5 C) - 3m + 4 D) - m - 5 4
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