Final Exam Review 114 Questions Fall 2011 math 0301 prealgebra

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1 Final Exam Review 114 Questions Fall 2011 math 0301 prealgebra Name atfm0301car28yes website PROGRAMS: ALVAREZLAB AND INTERACTMATH (CARSON PREALGEBRA 3RD EDITION) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Graph the integer on a number line. 1) - 1) A) B) C) D) Objective: (2.1) Graph Integer on Number Line Use < or > to make a true statement. 2) -8? 7 A) < B) > Objective: (2.1) Use < or > to Make True Statement 2) 3) -7? -2 A) < B) > Objective: (2.1) Use < or > to Make True Statement 3) Simplify. 4) 17 A) 0 B) 17 C) -17 D) 34 Objective: (2.1) Find Absolute Value ) -6 A) 6 B) -112 C) -6 D) 0 Objective: (2.1) Find Absolute Value 6) 0 4) ) 6) A) 0 B) -1 C) 1 D) 1 0 Objective: (2.1) Find Absolute Value 7) -(-14) A) 0 B) -1 C) -14 D) 14 Objective: (2.1) Simplify Expression with Negative Sign 8) --20 A) -1 B) 20 C) 0 D) -20 Objective: (2.1) Simplify Expression with Negative Sign 7) 8) 1

2 Add. 9) (-17) A) 96 B) 62 C) -62 D) -96 Objective: (2.2) Add Integers with Like Signs 9) ) A) -187 B) -7 C) 7 D) 187 Objective: (2.2) Add Integers with Different Signs ) 11) A) -2 B) 2 C) -18 D) 18 Objective: (2.2) Add Integers with Different Signs 11) 12) A) 7 B) -7 C) -263 D) 263 Objective: (2.2) Add Integers with Different Signs 12) Solve and check. 13) x + 4 = 13 A) x = 9 B) x = 17 C) x = -9 D) x = -17 Objective: (2.3) Solve Equation Missing Addend 14) z + 11 = -2 A) z = 13 B) z = -13 C) z = -9 D) z = 9 Objective: (2.3) Solve Equation Missing Addend 13) 14) Multiply. 1) (-7)(-7)(-6) A) -304 B) -194 C) 294 D) -294 Objective: (2.4) Multiply More than Two Integers 1) Divide. 16) -80 A) 26 B) -16 C) 16 D) ) Objective: (2.4) Divide Integers 0-17 A) 17 B) -17 C) 0 D) Undefined Objective: (2.4) Divide Integers 16) 17) 18) -6 0 A) 0 B) Undefined C) 6 D) -6 Objective: (2.4) Divide Integers 18) 2

3 Solve and check. 19) -4a = 8 A) a = -2 B) a = 1 C) a = -12 D) a = 12 19) Objective: (2.4) Solve Equation for Missing Factor 20) -13d = 0 A) d = 0 B) No solution C) d = -13 D) d = 13 20) Objective: (2.4) Solve Equation for Missing Factor Simplify. 21) 64 A) 32 B) 8 C) 9 D) Not an integer Objective: (2.4) Evaluate Radical Expression 21) Simplify using order of operations. 22) 7 + (-4) A) 13 B) -13 C) 48 D) ) Objective: (2.) Use Order of Operations 23) (4-8) A) 20 B) 30 C) -20 D) ) Objective: (2.) Use Order of Operations 24) 9-72 A) 40 B) 4 C) -40 D) -4 24) Objective: (2.) Use Order of Operations (with Exponent) 2) 0-9 A) 30 B) 14 C) 13 D) 7 2) Objective: (2.) Use Order of Operations (with Radical) 26) (-11) - (22 - ) A) -130 B) -1 C) -1 D) ) Objective: (2.) Use Order of Operations (with Radical) 27) (-1) A) 4 B) -7 C) -4 D) 7 Objective: (2.) Use Order of Operations (Quotient) 27) Evaluate. 28) x2 + 6y ; x = 8, y = 9 A) 694 B) 6300 C) 644 D) 88 Objective: (3.1) Evaluate Algebraic Expression 28) 3

4 29) x2-3x - ; x = -2 A) 37 B) -19 C) 41 D) 31 Objective: (3.1) Evaluate Algebraic Expression 30) 9x - 9(x + 2) ; x = -9 A) -32 B) -13 C) -18 D) -21 Objective: (3.1) Evaluate Algebraic Expression 31) - 4m + 4n ; m = -8, n = 3 A) -1 B) -17 C) -20 D) -24 Objective: (3.1) Evaluate Algebraic Expression 29) 30) 31) 32) b2-4ac ; b = -, a = 3, c = 6 A) -7 B) -43 C) -3 D) -47 Objective: (3.1) Evaluate Algebraic Expression 32) Evaluate the expression using the given values. x2 33) ; x =, y = -1, z = 3. 2z + y A) B) - C) 2 D) ) Objective: (3.1) Evaluate Algebraic Expression (Rational/Radical) Find all values for the variable and cause the expression to be undefined or indeterminate. 9 34) m + 6 3) A) none B) m = -6 C) m = 6 D) m = 0 Objective: (3.1) Find Values That Make Expression Undefined/Indeterminate x + (x - 2)(x - 7) A) x = 2 or x = 7 B) x = - C) x = -2 or x = -7 D) x = 14 Objective: (3.1) Find Values That Make Expression Undefined/Indeterminate 34) 3) Combine like terms. 36) m - m A) -4m2 B) -6m2 C) -6m D) -4m Objective: (3.3) Combine Like Terms 36) Add and write the resulting polynomial in descending order of degree. 37) (8x + 1) + (-6x + 11) A) 9x + B) 2x + 12 C) 14x + 12 D) 14x Objective: (3.3) Add Binomials 37) 4

5 38) (8x8-8x + 8x2 + 4) + (9x7 + 2x - 3x) A) 8x8 + 9x7-6x + 8x2-3x + 4 B) 8x8 + 9x7 + 6x + 8x2-3x + 4 C) 17x8-6x + 8x2-3x + 4 D) 17x8 - x + 8x2-3x + 4 Objective: (3.3) Add Polynomials 38) Write an expression in simplest form for the perimeter of the shape. 39) 39) x - 3 x x + A) 3x + 2 B) 3x + 4 C) 3x + 8 D) 3x3 + 1 Objective: (3.3) Find Expression for Perimeter Subtract and write the resulting polynomial in descending order of degree. 40) (y + 13) - (-6y + 9) A) 20y B) 16y + 22 C) -16y - 4 D) 16y + 4 Objective: (3.3) Subtract Binomials 40) 41) (9p2 + 12p + 8) - (3p2 + 4p - 6) A) 6p2-8p - 14 B) 6p2 + 8p + 2 C) 6p2 + 8p + 14 D) 6p4 + 8p Objective: (3.3) Subtract Polynomials 41) Multiply. 42) (-3x3)(-8x) A) -24x1 B) 24x8 C) -11x1 D) -11x8 Objective: (3.4) Multiply Monomials 42) 43) (-7x6)(x3)(9x2) A) 31x11 B) -31x11 C) -31x36 D) 31x36 Objective: (3.4) Multiply Monomials 43) Simplify. 44) (-2x4) A) 32x9 B) -32x20 C) -32x9 D) 32x20 Objective: (3.4) Use Power Rules to Simplify 44) Multiply. 4) 3(x + 3) A) 30x + 3 B) x + 9 C) 39x D) 30x + 9 Objective: (3.4) Multiply Monomial and Polynomial 46) 12x(-7x - 6) A) -84x2-6x B) -16x2 C) -7x2-72x D) -84x2-72x Objective: (3.4) Multiply Monomial and Polynomial 4) 46)

6 47) 11x(-9x7-3x) A) -99x12-3x B) -132x12-132x C) -99x12-33x D) -132x Objective: (3.4) Multiply Monomial and Polynomial 47) Find the prime factorization. Write the answer in exponential form. 48) 30 A) 2 3 B) 22 C) 6 D) 32 2 Objective: (3.) Find Prime Factorization 48) Find the GCF. 49) 0 and 60 A) B) 4 C) 20 D) Objective: (3.) Find GCF 49) Divide. 0) 20x 2x A) 18x B) x1 C) x D) x Objective: (3.6) Divide Monomials 0) Solve and check. 1) 6z + 9 = z + 2 A) z = -7 B) z = -11 C) z = 11 D) z = 7 Objective: (4.2) Solve Linear Equation 2) -2a + + 3a = 1-21 A) a = -11 B) a = 41 C) a = -41 D) a = 11 Objective: (4.2) Solve Linear Equation 3) 4(y + 2) = (y - 2) A) y = 2 B) y = -18 C) y = 18 D) y = -2 Objective: (4.2) Solve Linear Equation 4) -20 = n - 1 A) n = -21 B) n = -19 C) n = 19 D) n = 21 Objective: (4.2) Solve Linear Equation ) 7y - 2(y - 2) = 9y - (y + 8) A) y = 4 B) y = -12 C) y = 12 D) y = -4 Objective: (4.2) Solve Linear Equation 1) 2) 3) 4) ) Solve this equation. 6) y = A) y = 0 B) y = -1 C) y = D) y = 1 Objective: (4.3) Solve Linear Equation (Mult/Div Principle) 6) 6

7 7) -19m = 7 A) m = 0 B) m = 3 C) m = -3 D) m = -38 Objective: (4.3) Solve Linear Equation (Mult/Div Principle) 7) Solve. 8) 9n - 6 = 30 A) n = 31 B) n = 27 C) n = 9 D) n = 4 Objective: (4.3) Solve Linear Equation (Mult/Div/Add/Subt Principle) 9) 61 = 9x - 2 A) x = 8 B) x = 7 C) x = 4 D) x = 8 Objective: (4.3) Solve Linear Equation (Mult/Div/Add/Subt Principle) 60) x - 8x + x = 28 - x + 3x A) x = -3 B) x = -2 C) x = 3 D) x = 2 Objective: (4.3) Solve Linear Equation (Mult/Div/Add/Subt Principle) 8) 9) 60) Fill in the blank so that the fractions are equivalent. 61) 1 2 =? 8 61) A) 2 B) 8 C) 6 D) 4 Objective: (.1) Find Missing Number to Make Fractions Equivalent Write the mixed number as an improper fraction. 62) ) A) 3 8 B) 4 8 C) 4 9 D) 3 9 Objective: (.1) Write Mixed Number as Improper Fraction Reduce to lowest terms. 63) ) A) 9 B) 1 27 C) 3 D) 3 9 Objective: (.2) Simplify Fraction to Lowest Terms Write the requestd fraction in lowest terms. 64) 21 minutes is what fraction of an hour? A) 7 21 B) 4 0 C) 7 20 D) ) Objective: (.2) Solve Apps: Simplify Fraction to Lowest Terms 7

8 Write as a mixed number and simplify. 6) ) A) 6 B) 7 8 C) D) Objective: (.2) Write Improper Fraction as Mixed Number Reduce to lowest terms. 66) 18x 3yz2 33xy2z4 66) A) 6yz 2 11x2 B) 6x2 11yz2 C) 3x2 11yz2 D) 3x 2y 11z2 Objective: (.2) Reduce Fraction to Lowest Terms Multiply and express the product in lowest terms. 67) ) A) 1 B) 6 7 C) 4 90 D) 1 2 Objective: (.3) Multiply Fractions (Express in Lowest Terms) 68) - 12x 4y z 20z 20x2 68) A) - 6x 2y B) - 3x 2y C) - 6x 2yz D) - 6x 2z Objective: (.3) Multiply Rational Expressions Simplify. 69) ) A) B) 2 81 C) 1 4 D) 81 Objective: (.3) Use Exponents with Fractions/Rational Expressions 70) m3n 3p2 2 70) A) m n2 3p2 B) m n2 9p4 C) m 6n2 9p4 D) m 6n2 3p2 Objective: (.3) Use Exponents with Fractions/Rational Expressions 71) ) A) B) 1 C) 7 11 D) 7 11 Objective: (.4) Simplify Square Root of Quotient 8

9 Solve. 72) y = ) A) 28 B) 16 3 C) 3 16 D) 7 20 Objective: (.4) Solve Equation with Fractions Find the LCM. 73) 14 and 3 A) 70 B) 3 C) 49 D) 490 Objective: (.) Find the LCM (Two or More Numbers) 73) 74) 30hk and 360h2k3 A) 360hk3 B) 360h7k4 C) 30h2k D) 1h2k Objective: (.) Find the LCM (Variables/Exponents) 74) Add or subtract. 6 7) ) A) 4 21 B) 1 3 C) 4 7 D) 1 2 Objective: (.6) Add/Subtract Fractions/Rational Expressions (Same Denominator) 76) 11 12x x 76) A) 7 12x B) 1 x 7 C) 7 D) 7 24x Objective: (.6) Add/Subtract Fractions/Rational Expressions (Same Denominator) 77) ) A) B) C) 1 7 D) 3 40 Objective: (.6) Add/Subtract Fractions/Rational Expressions (Different Denominators) 78) 12m - 8m 78) A) m B) 12m C) - 24m D) 0 Objective: (.6) Add/Subtract Fractions/Rational Expressions (Different Denominators) 79) ) A) 4 7 B) 1 7 C) D) 8 7 Objective: (.6) Add/Subtract Mixed Numbers 9

10 Solve. 80) k + 1 = ) A) 2 B) 3 C) 3 D) 7 Objective: (.6) Solve Equation with Fractions Simplify. 81) ) A) B) C) D) 7 48 Objective: (.7) Order of Operations (Fractions) 82) ) A) B) 1 9 C) D) 7 9 Objective: (.7) Order of Operations (Fractions) Add. 83) A) B) 6.69 C) 6.49 D) Objective: (6.2) Add Decimal Numbers 83) 84) A) B) C) D) Objective: (6.2) Add Decimal Numbers 84) Subtract. 8) A) B) 17.8 C) D) 16.8 Objective: (6.2) Subtract Decimal Numbers 8) Add or subtract. 86) (-4.173) A) B) C) D) Objective: (6.2) Add or Subtract Signed Decimals 86) Solve and check. 87) 6.8 = x A) x = 0. B) x = 1.08 C) x = 13.1 D) x = -0. Objective: (6.2) Solve Equation Using Addition/Subtraction Principle 88) x = 16 A) x = 14.3 B) x = 17.2 C) x = 14.8 D) x = 16.7 Objective: (6.2) Solve Equation Using Addition/Subtraction Principle 87) 88)

11 Multiply. 89) (0.)(0.7) A) 0.3 B) C) 0.03 D) 3. Objective: (6.3) Multiply Decimal Numbers 90) (-0.03)(-0.03) A) 1.09 B) C) D) 0.09 Objective: (6.3) Multiply Decimal Numbers 89) 90) Evaluate the expression. 91) (2.4) 3 A) B) C) D) 7.2 Objective: (6.3) Evaluate Power of Decimal Number 91) Write the number in scientific notation. 92) The population of a city is 69,000. A) B) 6.9 C) D) Objective: (6.3) Write Standard Form Number in Scientific Notation 92) Solve. 93) -2.7x = A) x = B) x = C) x =.8 D) x = -7.8 Objective: (6.6) Solve Equation Using Add/Sub/Mult/Div Principles 94) -7.4q = q A) q = -3 B) q = C) q = 4.2 D) q = 4.0 Objective: (6.6) Solve Equation Using Add/Sub/Mult/Div Principles 9).23x = 8.2x A) x = 6.3 B) x =.3 C) x = 0.4 D) x = 0.3 Objective: (6.6) Solve Equation Using Add/Sub/Mult/Div Principles 96) 22(0.2n ) = ( n) A) n = -24 B) n = -26 C) n = D) n = Objective: (6.6) Solve Equation Using Add/Sub/Mult/Div Principles 97) The diagram below shows the side view of a plan for a slanted roof. Find the unknown length in this roof plan. 93) 94) 9) 96) 97) 4 ft.? 19 ft. A) 9.7 ft. B) 188. ft. C) 19.4 ft. D) 11. ft. Objective: (6.6) Solve Apps: Solving Eqns/Numbers/Pythagorean Theorem 11

12 Solve for the missing number ) 132 = 12 x 98) A) B) 136 C) 1 33 D) 33 Objective: (7.2) Solve Proportions 99) 1 2 = n 99) A) B) C) D) Objective: (7.2) Solve Proportions Solve the problem. 0) If 4 sandwich rolls cost $1.08, how much will 24 rolls cost? A) $7.48 B) $6.48 C) $4.32 D) $6.32 Objective: (7.2) Solve Apps: Proportions 0) Write as a percent. Round to the nearest tenth of a percent. 8 1) A) 80% B) 8% C) 0.8% D) 800% Objective: (8.1) Write Fraction as Percent 1) 2) 11 A) % B) 200% C) 11% D) 1% Objective: (8.1) Write Fraction as Percent 2) Translate to a proportion and solve. Round the answer to the nearest hundredth if necessary. 3) What number is % of 300? A) 3 B) 0.3 C) 300 D) 30 Objective: (8.3) Solve Percent Problem for Part 3) Translate to a proportion and solve. 4) 1 is 60% of what number? A) 8. B) 30.6 C) 8 D) 80 Objective: (8.3) Solve Percent Problem for Whole 4) Translate to a proportion and solve. Round the answer to the nearest tenth of a percent if necessary. ) What percent of 80 is 4? A) 20% B) % C) 21% D) 6% Objective: (8.3) Solve Percent Problem for Percent ) 12

13 Solve the problem. 6) A pension fund invests $70,600 in real estate and earns 2% per year on the investment. How much money is earned per year? A) $3,30,000 B) $1412 C) $14,120 D) $33,000 Objective: (8.4) Solve Apps: Solve for Part in Percent Problem 7) The appliance store where the Scott family shops offers a 6% discount for paying cash. The Scott family received a discount of $41. What was their total bill before the discount? A) $683 B) $200 C) $2 D) $7 Objective: (8.4) Solve Apps: Solve for Whole Amount in Percent Problem 8) Alex and Juana went on a 12-mile canoe trip with their class. On the first day they traveled 30 miles. What percent of the total distance did they canoe? A) 0.24% B) 400% C) 4% D) 24% Objective: (8.4) Solve Apps: Calculate Percent in Percent Problem 6) 7) 8) Solve. 9) A camera costs $670. If the sales tax rate is 4%, how much tax is charged and what is the total price? Round your answers to the nearest cent. A) $268.00, $ B) $20., $690. C) $26.80, $ D) $33.0, $703.0 Objective: (8.) Solve Apps: Solve Given Percent Increase (Sales Tax) 1) The normal gasoline mileage of a car is 34 mpg. On a smooth road, its mileage is 12% higher. What is its mileage on a smooth road? Round your answer to the nearest tenth. A) 34 mpg B) 38.1 mpg C) 4.1 mpg D) 0 mpg Objective: (8.) Solve Apps: Solve Given Percent Increase (Other) 111) Bathing suits are often on sale in July. The regular price of one suit is $23. With a 3% discount, what is the sale price of the suit? A) $1.9 B) $14.9 C) $8.0 D) $13.9 Objective: (8.) Solve Apps: Solve Given Percent Decrease (Discount) 112) Approximately 34% of Samanthaʹs gross monthly income is deducted for Social Security, federal withholdings, state withholdings, insurance, etc. If her gross monthly salary is $2694, then what is her net pay? A) $ B) $ C) $8.64 D) $91.96 Objective: (8.) Solve Apps: Solve Given Percent Decrease (Other) 9) 1) 111) 112) 13

14 Give the coordinates of the points shown on the graph. 113) x 113) C y D -7 A) C = (-, -6), D = (2, -6) B) C = (2, 6), D = (-6, ) C) C = (-, 2), D = (-6, ) D) C = (-, 2), D = (, -6) Objective: (9.2) Find Coordinates of Point on Graph Graph the equation. 114) y = x ) y - - x - - A) B) y y - - x - - x

15 C) D) y y - - x - - x Objective: (9.3) Graph Linear Equation 1

16 Answer Key Testname: ATFM0301CAR28 1) B 2) A 3) A 4) B ) A 6) A 7) D 8) D 9) D ) C 11) A 12) B 13) A 14) B 1) D 16) B 17) C 18) B 19) A 20) A 21) B 22) B 23) D 24) C 2) D 26) B 27) D 28) A 29) C 30) C 31) C 32) D 33) A 34) B 3) A 36) D 37) B 38) A 39) A 40) D 41) C 42) B 43) B 44) B 4) D 46) D 47) C 48) A 49) C 0) C 16

17 Answer Key Testname: ATFM0301CAR28 1) A 2) A 3) C 4) B ) B 6) D 7) C 8) D 9) B 60) D 61) D 62) D 63) A 64) C 6) B 66) B 67) D 68) A 69) B 70) C 71) C 72) D 73) A 74) A 7) A 76) A 77) B 78) C 79) C 80) C 81) C 82) C 83) C 84) A 8) C 86) D 87) A 88) B 89) A 90) D 91) B 92) A 93) C 94) B 9) B 96) A 97) C 98) D 99) A 0) B 17

18 Answer Key Testname: ATFM0301CAR28 1) A 2) D 3) D 4) C ) B 6) B 7) A 8) D 9) C 1) B 111) B 112) B 113) D 114) A 18