SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) Under what condition will the sum of a positive number and a negative number be negative? 1) Use the commutative and/or associative laws to write a series of steps verifying the given statement. 2) ( 2 + y) + 4 is equivalent to y + 6 2) 3) x(y 8 ) is equivalent to 8 (xy) 3) Provide an appropriate response. 4) Under what condition will the sum of a positive number and a negative number be positive? 4) Use the commutative and associative laws to write at least two equivalent expressions. 5) h + ( r + 70 ) 5) Answer the question. 6) Is this statement true or false? Why? ( 5 - 5 ) - 5 = 5 - ( 5 - 5 ) 6) Use the commutative and/or associative laws to write a series of steps verifying the given statement. 7) (x + 4 ) + 3 is equivalent to 7 + x 7) 8) 5 + (a + b) is equivalent to b + ( 5 + a) 8) 9) ( G 3 )m is equivalent to 3 ( G m) 9) 10) (y + z) + 4 is equivalent to ( 4 + z) + y 10) Provide an appropriate response. 11) What values of a and b make the result negative? - (a - b) 11) Use the commutative and/or associative laws to write a series of steps verifying the given statement. 12) (x + 5 ) + y is equivalent to 5 + (x + y). 12) 13) (z 3 ) 6 is equivalent to 18 z 13) Answer the question. 14) Is this statement true or false? Why? ( 3 + 3 ) - 3 = 3 + ( 3 - 3 ) 14) 1 Chapter 1 (Elementary and Intermediate Algebra Concepts and Applications, 7e Marvin Bittinger, David Ellenbogen, Barbara Johnson) (Test bank, Answer at the end of each Chapter) (For Complete File, Download link at the end of this File) 1 / 4
Use the commutative and/or associative laws to write a series of steps verifying the given statement. 15) s(t 2 ) is equivalent to 2 (ts) 15) 16) ( 2 w) 4 is equivalent to 8 w 16) Use the commutative and associative laws to write at least two equivalent expressions. 17) p ( 14 f ) 17) Provide an appropriate response. 18) If x and y are both replaced by negative numbers, is the value of 6 x - 3 y positive or negative? 18) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify. 19) 3 · ( 4 + 2 ) 2 - 3 · ( 5 - 3 ) 2 19) A) 96 B) 420 C) 288 D) 184 Solve the problem. 20) Mary earns three times as much per week as Maureen. If x represents the amount that Maureen earns per week, then 3x represents the amount that Mary earns per week. How much does Mary earn per week if Maureen earns $ 342 per week? 20) A) $339 B) $1026 C) $114.00 D) $345 Translate the problem to an equation. Do not solve. 21) 56 minus twice a number equals 14 more than the number. 21) A) 56 - 2 = 14 + x B) 56 - 2x = 14 + 2x C) 56 - 2x = 14 + x List all the elements of B that belong to the given set. 22) B = { 16 , 5 , - 12 , 0, 0 5 , 25 , 0.1 } Irrational numbers 22) A) 5 , 0.1 B) 5 , 25 , 0.1 C) 5 , 25 D) 5 Write a true sentence using either < or > . 23) - 56 __ 36 23) A) - 56 > 36 B) - 56 < 36 Use the distributive law to multiply. 24) ( 4 n + m + 9 ) 6 24) A) 24 n + 9 m + 54 B) 24 n + 6 m + 54 C) 24 n + m + 9 D) 4 n + m + 54 Multiply. 25) - 23 4 · - 8 3 25) A) - 184 7 B) - 31 7 C) 46 3 D) 31 12 2 2 / 4
Find the absolute value. 26) 29 4 26) A) - 29 4 B) 29 4 C) ± 29 4 D) 0 Find the following. 27) Find - ( - x) when x = 1.29 . 27) A) 129 B) 1.29 C) - 129 D) - 1.29 Solve the problem. 28) Annica owes $708.54 on her charge card. She returns for credit items costing $37.41 and $35.39 . She makes a purchase for $48.41 and additional purchases of $41.45 , $187.65 , and $157.43 . She then makes a payment of $755.58 . Find the amount she now owes. 28) A) $460.70 B) $315.10 C) $1101.98 D) $956.38 Use the associative law of addition to write an equivalent expression. 29) a + (b + 2 ) 29) A) (a + b) + 2 B) a + ( 2 + b) C) a(b + 2 ) D) (b + 2 ) + a Write the expression using exponents. 30) 5 y · 5 y · 5 y · 5 y · 5 y · 5 y · 5 y 30) A) 5 7 y B) 35 y C) 5 y 7 D) ( 5 y) 7 Simplify. 31) 9 x 2 + 6 x - ( 2 x 2 + 4 x) 31) A) 7 x 2 + 10 x B) 11 x 2 + 10 x C) 7 x 2 + 6 x - 4 D) 7 x 2 + 2 x Perform the indicated operation and, if possible, simplify. 32) - 5 6 - 1 3 32) A) - 1 B) 5 18 C) - 2 3 D) - 5 18 Divide, if possible. If the quotient is undefined, then state this. 33) 0 - 73 33) A) 0 B) 73 C) Undefined D) 1 Add. 34) 82 + ( - 58 ) 34) A) - 24 B) 140 C) 24 D) - 140 3 3 / 4
List all the elements of B that belong to the given set. 35) B = { 16 , 8 , - 15 , 0, 0 9 , 25 } Real numbers 35) A) 16 , - 15 , 0, 25 B) 16 , 8 , - 15 , 0, 0 9 , 25 C) 16 , - 15 , 0, 0 9 D) 16 , - 15 , 0, 0 9 , 25 Use the distributive law to multiply. 36) 9 (x + 6 ) 36) A) 54 x B) 9 x + 9 C) 9 x + 6 D) 9 x + 54 Use the associative law of multiplication to write an equivalent expression. 37) 5 [m( 8 + n)] 37) A) 5 [m(n + 8 )] B) 40 m + 5 n C) ( 5 m)( 8 n) D) ( 5 m)( 8 + n) Write words for the following. 38) 2 - ( - 15 ) 38) A) 15 minus 2 B) 2 minus negative 15 C) the opposite of 2 minus 15 D) 2 minus 15 Add. 39) - 75 + 0 39) A) 75 B) - 750 C) 0 D) - 75 Use the associative law of addition to write an equivalent expression. 40) r + ( 8 + s) 40) A) r( 8 + s) B) ( 8 + s) + r C) (r + 8 ) + s D) r + (s + 8 ) List the terms of the expression. 41) m + 5 m n p + 34 41) A) m , 5 m n p B) m , m n p C) 1, 5 D) m , 5 m n p , 34 Use the commutative law of multiplication to write an equivalent expression. 42) (s + 6 ) 9 42) A) s + ( 6 )( 9 ) B) ( 6 + s) 9 C) 9 (s + 6 ) D) ( s + 9 ) 6 Perform the indicated operation and, if possible, simplify. 43) 2 30 + 8 30 43) A) 8 15 B) 1 6 C) 1 5 D) 1 3 44) 1 7 + 5 7 44) A) 4 7 B) 6 7 C) 3 7 D) 5 7 4
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