MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 Algebra Midterm Review Packet # Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the set. ) E is the set of odd natural numbers between and 0. A) E = {,, 7, 9} B) E = {, 7, 9} C) E = {,, 7, 9, 0} D) E = {,, 6, 7,, 9} ) ) C is the set of integers between - and. A) C = {-, -, -, -, -, 0,, } B) C = {-, -, -, -, 0,, } C) C = {-, -, -, -, -, 0,,, } D) C = {-, -, -, -,, } ) List all the elements of B that belong to the given set. ) B = 6,, -, 0, 6, - 6, 6.7, ) Integers A) 6, -, 0 B) 6, 0, C) 6, -, 0, D) 6, 0 ) B =, 6, -0, 0, 0,, 0.7 ) Rational numbers A) 6, 0, 0.7 B), 0, C) 6, D), -0, 0, 0,, 0.7 Evaluate the expression. ) - A) 6 B) - C) -60 D) -77 ) 6) + ( + 0) A) B) 9 C) 6 D) 0 6) 7) (6) () 7) A) - 6 B) - C) 0 D) - 0 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Insert grouping symbols so that the expression has the desired value. ) + - results in )

2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the expression using the given value of the variables. x - 7y 9) for x = 7, y = 0 x + A) 0 B) 0 C) D) 7 9) 0) b - ac; a =, b =, c = 7 A) 0 B) -7 C) - D) -7 0) Solve the problem. ) If a rock falls from a height of 60 meters above the ground, the height H (in meters) after x seconds can be approximated using the formula H = x. Evaluate the expression x for x = to find the height of the rock after seconds. A). m B).9 m C) 9.9 m D) m ) Use the Distributive Property to remove the parentheses. ) -6(r + ) A) r - B) -6r + C) -6r - D) -6r - ) ) (6x + )6 A) 6x + B) x + 0 C) 60x D) 6x + ) ) -(x - 7z + 6) A) -x - 7z - 6 B) -x + 7z + 6 C) -x + 7z - 6 D) -x - 7z + 6 ) Factor the GCF from the polynomial. ) 0x - 0 A) (0x - ) B) (x - ) C) 0(x - ) D) 0(x) ) Simplify the expression by combining like terms, if possible. 6) b - b + 6 A) 0b + 6 B) 6b + 6 C) -6b + 6 D) b 6) 7) x - x - x - x A) x B) x + 7x C) -x + 7x D) 7x ) a - 7b b + a + A) 7a + 0b - B) 7a - b + C) 7ab D) 7a - b + 9) -6(x- ) - x + 7 A) -6x + 7 B) -6x - C) x + 7 D) 6x + 7 7) ) 9) Translate the phrase to an algebraic expression. Let x represent the unknown number. 0) 0 less than a number A) 0x B) 0 C) 0 - x D) x - 0 0)

3 Translate the statement into an equation. Let x represent the unknown number. DO NOT SOLVE. ) The sum of four times a number and is equal to the difference of twice the number and 9. A) x + = x - 9 B) x + = x + 9 C) x - = x - 9 D) (x + ) = x - 9 ) Determine the domain and range of the relation. ) {(-7, ), (-, -), (0, -), (6, ), (, )} A) Domain: {0, -7, 6,, -}; range: {-,,,, -} B) Domain: {,,, -, -}; range: {0, -, -7,, 6} C) Domain: {-,,,, -}; range: {0, -7, 6,, -} D) Domain: {0, -, -7,, 6}; range:{,,, -, -} ) Tell whether the relation is a function. ) {(-, -), (-, -9), (, -9), (, 7)} A) Function B) Not a function ) ) x 7 0 y - 9 A) Function B) Not a function ) Use the graph to find the indicated function value. ) y = f(x). Find f() ) y x A) -. B) -0.9 C) 0.9 D). Solve the equation. Check your solution. 6) 9r + = 7 A) {} B) {} C) {9} D) {6} 6) 7) - = -x + A) {} B) {-} C) {} D) {-} 7)

4 ) x + 7 = 6 ) A) - B) C) D) - 9) a - = - 9) A) {-} B) {7} C) {} D) {-7} 0) -x - + x = A) {} B) {-} C) {} D) {-} 0) ) -x + + x + 0 = A) B) C) - D) ) ) 7x - (x - ) = A) - B) - 0 C) D) 0 ) ) -6(x - 6) = A) - B) - C) D) ) ) -x - = -7 - x A) B) - C) D) ) ) -6x - 7 = - + x A) B) C) - D) - ) 6) -(x + ) = -9(x + ) A) {} B) {0} C) {-} D) {-} 6) 7) -9x + 7(-x - ) = -7-7x A) {- } B) C) {} D) 7 7) ) x - x = A) {-7} B) {0} C) {-0} D) {7} )

5 9) n - = 0 9) A) 9 B) 7 C) 9 D) 7 Solve the problem. 0) A rectangular Persian carpet has a perimeter of 6 inches. The length of the carpet is 0 inches more than the width. Solve the equation 6 = w + (w + 0) to find the width, w, of the carpet. Then find the length, w + 0, of the carpet. A) Length is 09 in., width is 79 in. B) Length is in., width is in. C) Length is 79 in., width is 9 in. D) Length is in., width is 9 in. 0) Substitute the given values into the formula and then evaluate to find the unknown quantity. Label units in your answer. If the answer is not exact, round your answer to the nearest hundredth. ) P = L + W; P = 0, W = 7 ) A) units B). units C) units D) units ) Use the formula C = (F- ) to convert F to degrees Celsius. 9 ) A) 0.6 C B) 90. C C) 9. C D) 0 C Solve the formula for the stated variable. ) d = rt; solve for t ) A) t = dr B) t = r d C) t = d - r D) t = d r ) P = a + b + c; solve for c A) c = P - a - b B) c = P + a - b C) c = a + b - P D) c = P + a + b ) ) P = L + W; solve for L A) L = P - W B) L = P - W C) L = P - W D) L = P - W ) Solve for y. 6) x - y = A) y = x - B) y = x + C) y = - x D) y = x - 6) Solve the problem. 7) Two angles are complementary. The second angle measures 6 less than the first angle. What is the measure of the first angle? A) 67 B) 6 C) D) 77 7) ) Find two supplementary angles such that the first angle is more than times the second. A) 7. ;. B) 0 ; 0 C). ; 7. D). ; 6 )

6 9) A rectangular carpet has a perimeter of inches. The length of the carpet is inches more than the width. What are the dimensions of the carpet? A) 9 by inches B) 9 by 06 inches C) 00 by 06 inches D) 9 by 7 inches 9) 0) Find the measure of each angle of the triangle. 0) x (x + ) (x - ) A), 79.,. B) 0, 7, 7 C) 90, 7, D) 60, 7, SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) A number divide by zero is ) ) "All integers are postive" is a statement. ) ) The inverse operation of dividing by - is. ) ) Dividing by one-fourth is the same as multiply by. ) ) The reciprocal of three-fourths is. ) 6) The opposite reciprocal of three-fourths is. 6) 6

7 Answer Key Testname: ALG_MT_REV 0_ ) B ) B ) C ) D ) C 6) B 7) D ) + ( - ) = 9) C 0) D ) B ) D ) A ) C ) C 6) B 7) A ) D 9) A 0) D ) A ) A ) B ) A ) D 6) D 7) A ) A 9) A 0) A ) B ) C ) C ) C ) C 6) B 7) C ) D 9) A 0) C ) C ) D ) D ) A ) A 6) D 7) D ) C 7

8 Answer Key Testname: ALG_MT_REV 0_ 9) A 0) B ) ) ) ) ) 6)