ALVAREZ--VIDEO 14 ALVAREZ--VIDEO 15 ALVAREZ--VIDEO 16 ALVAREZ--VIDEO 17 ALVAREZ--VIDEO 18

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1 PRETEST EXAM REVIEW 0 QUESTIONS MATH00 Fall 01 ELEMENTARY ALGEBRA Name atfm00mk8es website PROGRAMS ALVAREZLAB (SAVE AND EXTRACT TO YOUR COMPUTER) VIDEOS (ON DEMAND) INTERACTMATH (MCKENNA AND KIRK BEGINNING AND INTERMEDIATE ALG) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the linear equation and check the solution. 1) -7 + ( - 4) = -9-4 A) - 7 {1} Objective: (.) Solve Linear Equation (Grouping Smbols) ALVAREZLAB GLINEQ7...GLINEQ6 LINEQUAT (14) INTERACTMATH SEC. EXE ALVAREZ--VIDEO 14 1 D) {- 1} ) 4.p - 19 =.p - 7 A) {-1} {-1} {-7} D) {-11} ) Objective: (.) Solve Linear Equation (Decimals) ALVAREZLAB GLINER LINEQDEC () INTERACTMATH SEC. EXE 9 ALVAREZ--VIDEO = 4 A) {14} {6} {-14} D) {-6} Objective: (.) Solve Linear Equation (Fractions) ALVAREZLAB GLINEQ ,...8 LINEQWP1 (1) LINEQWP (1) LINEQWOX (1) INTERACTMATH SEC. EXE 7 ALVAREZ--VIDEO 16 Determine whether the linear equation is an identit or an inconsistent equation. State the solution set using set notation. 4) = ) A) {} { } or { R} D) {-8} Objective: (.) Identif Inconsistent Equations and Identities ALVAREZLAB GLINEQ1, LINEQUXX (4) INTERACTMATH SEC. EXE 7 ALVAREZ--VIDEO 17 ) + ( + 1) = 8( + 1) - A) {1} { R} {0} D) { } or Objective: (.) Identif Inconsistent Equations and Identities ALVAREZLAB GLINEQ,6 LINEQUXX () INTERACTMATH SEC. EXE 6 ALVAREZ--VIDEO ) ) ) )

2 Solve for the indicated variable. 6) 1 + = 1, for A) = = 1-1 Objective: (.) Solve Literal Equation for Variable ALVAREZLAB GLITER LITERALE () INTERACTMATH SEC. EXE ALVAREZ--VIDEO 1 Graph the solutions to the linear equation b plotting points. 7) = - = D) = 1-1 6) 7) A) D) Objective: (.1) Graph Linear Equation b Plotting Points

3 ALVAREZLAB BEN0...BEN INTERACTMATH SEC.1 EXE 1 ALVAREZ--VIDEO 8 Simplif the epression using the product-to-a-power rule. Write the answer in lowest terms with positive powers onl. Assume that all variables represent nonzero real numbers. 8) (48-6z) - 8) A) z z Objective: (.1) Simplif Using Product-to-Power Rule z D) 481z ALVAREZLAB POWERS (11,1) INTERACTMATH SEC.1 EXE 6 ALVAREZ--VIDEO Simplif the epression using the quotient-to-a-power rule. Write the answer in lowest terms with positive powers onl. Assume that all variables represent nonzero real numbers. 4 9) 9) 7z A) 8 7z z z0 D) 8 49z0 Objective: (.1) Simplif Using Quotient-to-Power Rule ALVAREZLAB POWERS () INTERACTMATH SEC.1 EXE 47 ALVAREZ--VIDEO 6 Multipl. ) ( + 1)( - + 1) A) D) + 1 Objective: (.4) Multipl Polnomial b Polnomial ALVAREZLAB GFOILB...40 POLYSIMX (1..16) INTERACTMATH SEC.4 EXE ALVAREZ-- VIDEO 4 Square using special products. 11) ( 7 b + ) A) 7 b + 4 b b + 4 b b + 9 D) 49b + 9 Objective: (.) Square Binomial ALVAREZLAB GFOILB1,,1, POLYSIMP (19) INTERACTMATH SEC. EXE 7 ALVAREZ--VIDEO 44 Use the special product of a sum and difference of two terms to multipl the binomials. 1) ( a + b)( a - b) A) 0 a - 60 ab - 9b 0 a + 60 ab - 9b a - b D) 0 a - 9b Objective: (.) Multipl Sum and Difference of Two Terms ALVAREZLAB GFOILB18,19,7,8 POLYSIMQ (1,16) INTERACTMATH SEC. EXE 1 ALVAREZ--VIDEO 46 ) 11) 1)

4 Divide. Write answer in lowest terms using positive powers onl. 1) 19 77z 769 A) 4 z 4 z Objective: (.6) Divide Using Eponent Rules ALVAREZLAB GFACTR7,76 POWERS (7,8,9,) INTERACTMATH SEC.6 EXE 9 ALVAREZ--VIDEO 47 Divide using long division. Write answer as Quotient + Remainder Divisor 14) ( ) ( - ) 1 A) Objective: (.6) Divide Using Long Division (Remainder) ALVAREZLAB GSYNTK D) z 4 D) DIVISION () INTERACTMATH SEC.6 EXE ALVAREZ--VIDEO 48 Factor b grouping. 1) r - 8r + rt - 8t A) (r - 8)(r + t) (r + 8)(r - t) (r - 8)(r - t) D) rt(r - 8) Objective: (6.1) Factor b Grouping ALVAREZLAB GFACTR QUADGROU (7) INTERACTMATH SEC 6.1 EXE 69 ALVAREZ--VIDEO Factor using the sum or difference of cubes. 16) 7a + 64b A) (a - 4b)(9a + 1ab + 16b) (a + 4b)(9a + 16b) (a + 4b)(9a - 1ab + 16b) D) (7a + 4b)(a - 1ab + 16b) Objective: (6.) Factor Sum or Difference of Cubes ALVAREZLAB GFACTR9,1,, 1 - FACTORIN () INTERACTMATH SEC 6. EXE 7 ALVAREZ--VIDEO 6 Factor the trinomial using the AC Method. If a trinomial is not factorable, write ʺprime.ʺ 17) 1z - 14z - 8 A) (z - 4)(z + ) prime (1z - 4)(z + ) D) (z + 4)(z - ) Objective: (6.) Factor Using AC Method ALVAREZLAB GFACTR4...0 FACTORIN (11) INTERACTMATH SEC 6. EXE 1 ALVAREZ--VIDEO 9 1) 14) 1) 16) 17) 4

5 Factor the polnomial completel using the general factoring strateg. If the polnomial is not factorable, write ʺprime.ʺ 18) 18s7t + 6st4 18) A) 6st(s + t) st(18s + 6t) 6st(s + t) D) 6s7t4(s + t) Objective: (6.) Factor Out Common Factor ALVAREZLAB GFACTR69, FACTORIN () FACTORI1 (8,9,,11) INTERACTMATH SEC 6. EXE 1 ALVAREZ--VIDEO 6 19) 9 - A) ( + )( + ) prime ( + )( - ) D) (+ )( - ) Objective: (6.) Factor Binomial ALVAREZLAB GFACTR FACTORIN () FACTORI1 (,6,8,9,,11) INTERACTMATH SEC 6. EXE 1 ALVAREZ VIDEO 66 0) A) prime ( - 18)( + 1) ( - )( + 9) D) ( + )( - 9) Objective: (6.) Factor Trinomial ALVAREZLAB GFACTR7...4 FACTORIN () INTERACTMATH SEC 6. EXE 1 ALVAREZ--VIDEO 68 Solve the equation using the Zero Factor Propert and state the solution set. 1) 4n + 91n = 0 A) , 91 -, 0 {0} D) Objective: (6.6) Solve Equation Using Zero Factor Propert (Equation = 0) ALVAREZLAB GQUADN GQUADF1..18 QUADFACT (4) INTERACTMATH SEC 6.6 EXE ALVAREZ--VIDEO 74 ) - = 0 A) {1, 0} {-4, } {4, } D) {-4, -} Objective: (6.6) Solve Equation Using Zero Factor Propert (Equation 0) ALVAREZLAB GQUADN1...9 QUADFACT (1,,...) INTERACTMATH SEC 6.6 EXE 1 ALVAREZ--VIDEO 77 ) ( - 8) = 0 A) {, -} {-, -} {-, } D) {, } Objective: (6.6) Solve Equation Using Zero Factor Propert (Equation 0) ALVAREZLAB GQUADN0...GQUADN QUADFACT (8) INTERACTMATH SEC 6.6. EXE 4 ALVAREZ--VIDEO 79 19) 0) 1) ) )

6 Simplif the rational epression ) - A) Objective: (7.1) Simplif Rational Epression ALVAREZLAB GFUNSL04, 08, 1 - RATIONAL (8) INTERACTMATH SEC 7.1 EXE 17 ALVAREZ--VIDEO 8 Multipl the rational epressions and write the answer in lowest terms. ) a - 4b 0ab 4a b a - b A) a + ab a - ab b Objective: (7.) Multipl Rational Epressions ALVAREZLAB GFUNSL1 a + ab b RATIONAL (1,16,17) INTERACTMATH SEC 7. EXE 1 ALVAREZ VIDEO 88 Divide the rational epressions and write the answer in lowest terms. 6) m - 16 m + m - 8 m - m - 8 m - 4 A) m - 4 (m + 7)(m - 7) m - 4 m Objective: (7.) Divide Rational Epressions ALVAREZLAB GFUNSL16,44 m + 4 (m + 7)(m - 7) D) D) a + b ab D) m - 4 m - 7 RATIONAL (18) INTERACTMATH SEC 7. EXE 17 ALVAREZ--VIDEO 89 Add or subtract the rational epressions with common denominators. Write the answer in lowest terms. 7) A) D) Objective: (7.) Add or Subtract with Common Denominator ALVAREZLAB GFUNSL1,14,17,18,1,, RATIONAM (1,8,9) INTERACTMATH SEC 7. EXE 1 ALVAREZ--VIDEO 90 4) ) 6) 7) 6

7 Perform the indicated operations and write the answer in lowest terms. 8) A) ( + 6)( - 6) ( + 6)( - 6) - ( + 6)( - 6) Objective: (7.) Add or Subtract with Unlike Denominators I ALVAREZLAB GFUNSL , 1,14,17,18,1,,,6, RATIONSU (1,,,7,8) INTERACTMATH SEC 7. EXE 9 ALVAREZ--VIDEO 91 Simplif the comple fraction ) A) Objective: (7.4) Simplif Comple Fractions b Multipling b LCD/LCD ALVAREZLAB GFUNSL0,4,8,,48,,6,7,8,9, RATCOMEZ (6) RATCOME1 (1,,7,8,9,) INTERACTMATH SEC 7.4 EXE 4 ALVAREZ--VIDEO 9 Solve the equation. 0) = - 9 A) {7} {} { 1} D) {-7} Objective: (7.) Solve Equation Involving Rational Epression ALVAREZLAB GQLCDM ,11,1 QUADLCD () INTERACTMATH SEC 7. EXE 1 ALVAREZ--VIDEO 9 D) D) ( + 6)( - 6) ) 9) 0) 7

8 Answer Ke Testname: AT4M00MK8 1) B ) B ) D 4) B ) B 6) C 7) D 8) B 9) D ) D 11) B 1) D 1) D 14) C 1) A 16) C 17) A 18) C 19) C 0) D 1) B ) B ) C 4) B ) C 6) A 7) A 8) B 9) D 0) D 8

FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name

FINAL EXAM REVIEW ITEMS Math 0312: Intermediate Algebra Name 1) Find the SUM of the solutions of the equation. 82 + 0 = 16 Use the quadratic formula to solve the equation. (All solutions are real numbers.)