Math 006 - Departmental Exit Assessment Review (Student Version) Answer the question. 1) What does the digit 2 mean in the number 19,24? 2 thousands 2 hundreds 2 hundred thousands 2 tens Objective: (1.1) Give Place Value of Digit Graph each set of numbers. ) -2 1 2, 0,, - 1 2 - -4 - -2-1 0 1 2 4 Write the number in words. 2) 4,200,091 Four million, two hundred ninety-one Four million, two hundred thousand, ninety-one Forty-two thousand, ninety-one Four million, twenty thousand, ninety-one Objective: (1.1) Rewrite Number in Words - -4 - -2-1 0 1 2 4 - -4 - -2-1 0 1 2 4 - -4 - -2-1 0 1 2 4 Rewrite the following number using digits. ) Six hundred thirty-eight thousand, nine hundred ninety-seven 6,99 6,9 6,000 6,99,000 Objective: (1.1) Rewrite Number Using Digits If the number is negative, write it with a raised negative sign; if the number is positive, write it in two ways. 4) The submarine dove to a depth of 19 feet below the surface of the water. -19 feet 19 feet +19 feet +19 feet or 19 feet Objective: (1.2) Solve Apps: Write Negative/Positive Integers Objective: (1.2) Graph Signed Numbers on Number Line Write < or > between the pair of numbers to make the statement true. 6) - -4 < > Objective: (1.2) Write > or < to Make Statement True Find the absolute value. ) -901 901 1-901 0 Objective: (1.2) Find Absolute Value Add. ) - + 0-6 Objective: (1.) Add Two Integers 9) + - + -14-9 19 9-19 Objective: (1.) Add Three or More Integers 1
Write as an addition problem and find the sum. ) Jane lost pounds the first week and gained 4 pounds the second week. What was her net gain or loss? + -4 = -9 pounds - + 4 = 1 pounds + -4 = 9 pounds - + 4 = -1 pounds Objective: (1.) Solve Apps: Add Integers Add. 11) - + 1 + -412-49 -661 49 661 Objective: (1.) Add Integers with Large Absolute Value Find the opposite (additive inverse) of the number. 12) - 1-1 - Objective: (1.4) Find Opposite of Number Subtract. 1) -20 - -19 1 9-9 -1 Objective: (1.4) Subtract Two Integers 14) 1-4 - - 1 - - Objective: (1.4) Add or Subtract Three or More Integers 1) 0-11 -19 19-11 11 Objective: (1.4) Simplify Expression with Grouping and Absolute Value Round as indicated. 16) 90 to the nearest thousand,000 0,000 00 0 Objective: (1.) Round Positive Integer to Higher Place Values Use front end rounding to round the number. 1) Harold worked 44 hours overtime last year. 400 hours 440 hours 40 hours 00 hours Objective: (1.) Solve Apps: Round Number (Front End) First, use front end rounding to estimate each answer. Then find the exact answer. 1) -1 + -6 Estimate: - - 0 = -90 Exact: -1-6 = -9 Estimate: -20-0=-0 Exact:-1-6=-9 Objective: (1.) Use Front End Rounding to Estimate, Then Find Exact Answer 19) Pat had $9 in her checking account. If she wrote checks for $14 and $6, how much remained in her account? estimate: $90 - $10 - $00 = $00; exact: $40 estimate: $900 - $0 - $00 = $00; exact: $40 estimate: $00 - $0 - $00 = $600; exact: $40 estimate: $90 - $10 - $40 = $460; exact: $40 Objective: (1.) Solve Apps: Integer Sum or Difference (Front End) Multiply. 20) 24 0 0-24 +24 24 Objective: (1.6) Multiply Two Integers 21) -9 - -6 22-22 - Objective: (1.6) Multiply Three or More Integers 2
Rewrite using the stated property. 22) Commutative property; 20-20 20 20-20 Objective: (1.6) Apply Multiplication Properties 2) -4-4 -4-4 Objective: (1.6) Simplify Expressions with Integers, Absolute Value 24) There is a -degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49 degrees, what will be the temperature when the plane reaches an altitude of 24,000 feet? -2 degrees 2 degrees -2 degrees 2 degrees Objective: (1.6) Solve Apps: Multi-Step Integer Problems Divide. 2) - 2-4 -4 - Objective: (1.) Divide Integers 26) - -0 6-6 - Objective: (1.) Simplify Expression with Multiplication and Division First, use front end rounding to estimate each answer. Then find the exact answer. 2) A lawsuit settlement of $1,1,000 is to be distributed among 21 claimants. How much will each claimant get? estimate: $1,10,000 20 = $,00; exact: $1,1,000 21 = $,000 estimate: $1,000,000 20 = $0,000; exact: $1,1,000 21 = $,000 estimate: $1,00,000 21 = $0,000; exact: $1,1,000 21 = $,000 estimate: $1,0,000 20 = $,000; exact: $1,1,000 21 = $,000 Objective: (1.) Solve Apps: Four Operations (One Step) 2) A travel agent arranged a payment plan for a client. It required a down payment of $10 and 9 monthly payments of $0. What was the total cost of the plan? $62 $622 $6422 $642 Objective: (1.) Solve Apps: Four Operations (Several Steps) Divide and then interpret the remainder. 29) If each hotel room can hold 4 people, how many rooms are needed for 90 people? 21 rooms with space left for 2 people 22 rooms with space left for 1 person 21 rooms with space left for 1 person 2 rooms with space left for 2 people Objective: (1.) Solve Apps: Interpret Remainder 0) -2-64 - 112-2.26-112 2.26 Objective: (1.) Simplify Expression with Absolute Value 1) -4 64-64 26-16 Objective: (1.) Evaluate Exponential Expression
2) (-9 + 9) - ( - ) 4 0-4 -0 Objective: (1.) Use Order of Operations: No Exponents ) - 4(92) - 9( - 2) -9( - ) -2-42 -46 42 46 Objective: (1.) Use Order of Operations: Quotients Identify the parts of each expression. Choose from these labels: variable, constant, and coefficient. 4) -20 + t -20 is a variable; t is a constant. -20 is a constant; t is a variable. -20 is a constant; t is a constant. -20 is a variable; t is a variable. Objective: (2.1) Identify Variable/Constant Coefficient Rewrite the given expression without exponents. ) -9ry2-9 r + r + y + y + y -9 r + r + r + y + y -9 r r y y y -9 r r r y y Objective: (2.1) Rewrite Variable Expression Without Exponents Evaluate the given expression. 6) -v2t when v is 4 and t is -. - 240-240 Objective: (2.1) Evaluate Variable Expression (Monomial) Evaluate the expression. z2 ) ; when x is, y is 4, and z is 2. -2x + y Identify the like terms in the given expression. Then identify the coefficients of the like terms. ) x2y + xy + -xy2 + 12x + 6xy + -x2y + 12 Like Terms: and 6 Coefficients: xy and 6xy Like Terms: xy and 6xy Coefficients: and 6 Like Terms: x2y and -xy2 Coefficients: and - Like Terms: 6xy and 12x Coefficients: 6 and 12 Objective: (2.2) Identify Like Terms and Coefficients Simplify the given expression. Write the answer with variables in alphabetical order and any constant term last. 9) 9xy2 + 14xy + 1xy2 24x2y + 14xy 24xy2 + 14xy 24x2y4 + 14xy 2xy2 + 1xy Objective: (2.2) Combine Like Terms When Some are Like Terms Simplify by using the associative property of multiplication. 40) (-9p2) -2p2 12p2-12p2 2p2 Objective: (2.2) Simplify Using Associative Property of Multiplication Use the distributive property to simplify this expression. 41) (z - ) z - z - z + z + Objective: (2.2) Use Distributive Property to Simplify Expression Simplify the given expression. 42) 2-2(w - ) + w w - w + -w + -w - Objective: (2.2) Use Distributive Property to Simplify Complex Expression 2 2-2 Objective: (2.1) Evaluate Variable Expression (Absolute Value/Fraction) - 2 4
Select the solution of the given equation from the answer choices provided. 4) y + 9 = -2-14 14-2 2 Objective: (2.) Select Solution of Equation from Answer Choices Solve the given equation. 44) -1 = z + 6 z = 9 z = 21 z = -21 z = -9 Objective: (2.) Solve Equation Using Single Addition Simplify each side of the equation, if possible. Then solve the equation. 4) -9k + k = 2-2 + 2 k = 2 k = 29 k = -2 k = -29 Objective: (2.) Simplify Each Side of Equation and Solve 46) The BBQ committee always orders one pound of ribs for each person who signs up for the Homecoming BBQ, plus 1 extra pounds of ribs. The committee ordered 0 pounds of ribs this year. Solving the equation n + 1 = 0 will give the number of people who signed up for the BBQ. Solve the equation. n = 1 people n = 0 people n = people n = 11 people Objective: (2.) Solve Apps: Solving Equations Using Addition Solve this equation. 49) -x = -6 x = 1 x = 0 x = 6 x = -6 Objective: (2.4) Solve Equation by Dividing by (-1) 0) The perimeter of a square is 4 times the length of one side, s. If the perimeter is 2 feet, solving the equation 4s = 2 will give the length of one side. Solve the equation. s = feet s = 9 feet s = 2 feet s = 6 feet Objective: (2.4) Solve Apps: Solving Equations Using Division Solve the equation. 1) 26r + 6 = 6 r = 1 r = -1 r = 2 r = 0 Objective: (2.) Solve Equation Using Addition and Division Properties Use the distributive property to help solve the given equation. 2) -16 = y + y = 9 y = y = -9 y = - Objective: (2.) Solve Equation Using Distributive Property Find the perimeter of the given square or rectangle. ) 26 ft Solve the given equation. 4) -12k = 12 k = 0 k = 12 k = 1 k = -1 Objective: (2.4) Solve Equation Using Single Division Step Simplify where possible. Then solve the equation. 4) 14-14 = 6f - f f = 0 f = -1 f = 1 f = 14 Objective: (2.4) Simplify, then Solve Using Division 26 ft 26 ft 26 ft ft 26 ft 2 ft 4 ft Objective: (.1) Find Perimeter of Square or Rectangle: Figure 4) A square with side. in. 121.6 in. 1.2 in. 41.2 in. 1.6 in. Objective: (.1) Find Perimeter of Square or Rectangle: Verbal
For the given perimeter of the square, find the length of one side. ) The perimeter is 16 miles. miles 12 miles 16 miles 4 miles Objective: (.1) Find Side of Square Given Perimeter Find the length of the unlabeled side of the figure, given the perimeter and the length of all other sides. 9) Perimeter is 2 cm. 4 cm Given the perimeter and either the length or width of a rectangle, find the unknown measurement by using the appropriate formula. 6) The perimeter of a rectangular yard is 296 feet and the width is 4 feet. 206 feet 20 feet feet 19 feet Objective: (.1) Find Side of Rectangle Given Perimeter and Other Side Find the perimeter. ) ) 1 cm 1 cm 1 cm 112. cm 44 cm 0 cm 4 cm Objective: (.1) Find Perimeter of Triangle 1 ft 1 ft 4 ft 0 ft 1 ft 60 ft 16 ft 1 ft 1 ft ft Objective: (.1) Find Perimeter of Irregular Figure 6 cm cm 6 cm cm cm cm Objective: (.1) Find Length of Unlabeled Side Given Perimeter Find the area. 60) A rectangle measuring yd by 42 yd. 126 yd2 9 yd2 22 yd2 4 yd2 Objective: (.2) Find Area of Square or Rectangle 61) cm cm 49 cm2 24. cm2 14 cm2 2 cm2 Objective: (.2) Find Area of Parallelogram Given the area of a rectangle and its specified length or width, use an appropriate formula to find the requested measurement. 62) The area of a rectangular vegetable garden is 220 yd2, and the length is 20 yd. Find its width. 16 yd 14 yd 1 yd 11 yd Objective: (.2) Find Side of Rectangle Given Area and Other Side 6
Find both the perimeter (P) and the area ( of the given figure. 6) in. P = 2 in.; A = 64 in.2 P = 24 in.; A = 12 in.2 P = 2 in.; A = 12 in.2 P = 16 in.; A = 64 in.2 Objective: (.2) Find Perimeter and Area of Figure Round to the nearest hundredth, if necessary. 64) The perimeter of a rectangular room is 4 ft. The width is ft. Find the length. 11 ft 9 ft ft 2 ft Objective: (.2) Solve Apps: Perimeter and Area Write an algebraic expression, using x as the variable. 6) 1.6 less than some number 1.6x x - 1.6 x + 1.6 1.6 - x Objective: (.) Write Algebraic Expression Using x as the Variable 6) A baseball team played a total of 1 games last season. They had 1 fewer wins than losses. How may games did the team win? 1 games 1 games 61 games 6 games Objective: (.4) Solve Apps: Find Two Unknown Quantities 69) Of 4 bicycles in a bike rack, 61 are mountain bikes. What fraction of the bicycles are mountain bikes? 4 4 4 4 61 4 4 61 Objective: (4.1) Solve Apps: Represent Situation with Fraction Locate the fraction on the number line. 0) -, -1 0 1 - -1 0 1-66) The sum of 6 and four times a number is -14. Find the number. -4-0 - Objective: (.) Translate Sentence into an Equation and Solve 6) Junior high classes of 2 students each met in the cafeteria to take achievement tests. If exactly students sat at each table and 2 tables were used, how many classes took the tests? 21 classes 11 classes classes classes Objective: (.) Solve Apps: Find One Unknown Quantity -1 0 1 - - -1 0 1-1 0 1 Objective: (4.1) Graph Proper Fraction on Number Line
Write a positive or negative fraction to describe the situation. 1) Roger cut the plywood board in. too short to fit the opening. - 2 - Objective: (4.1) Write Signed Fraction to Describe Situation Find the absolute value. 2) 12 6-12 0 12 Objective: (4.1) Find Absolute Value of Fraction Rewrite the fraction as an equivalent fraction with the given denominator. ) 9 =? 4 162 4 4 9 4 1 4 Objective: (4.1) Write Equivalent Fraction with Given Denominator Identify the number as prime, composite, or neither. 4) 0 Neither Composite Prime Objective: (4.2) Identify Number as Prime or Composite Find the prime factorization of the number. ) 1 Objective: (4.2) Find Prime Factorization of Number Write the fraction in lowest terms by using prime factorization. 6) 1 26 1 1 1 26 1 26 Objective: (4.2) Write Fraction in Lowest Terms Write your answer in lowest terms. ) The Brown family traveled 00 miles on a trip this summer. 60 miles of their trip was by train. What fraction of the trip was by train? 2 20 2 00 Objective: (4.2) Solve Apps: Write Fraction Write the fraction in lowest terms. ) 2p q r 2p 4 q r 9 pr p9 r 1 p9 r 1 p r Objective: (4.2) Write Fraction with Variables in Lowest Terms Multiply. Write the product in lowest terms. 9) - 21 22-1 1 1 19 12-19 20 119 12 Objective: (4.) Multiply Signed Fractions Divide. Write the quotient in lowest terms. 19 0) 4 - - 1-19 2-9 14-1 40 Objective: (4.) Divide Signed Fractions
Perform the indicated operation. Give the answer in lowest terms. 1) 2x 2 x 4x 2 x 20x 2 x 4 x x 4 Objective: (4.) Multiply and Divide Signed Fractions and Expressions 2) A warehouse stores 2 different inventory items. of these items are perishable. How 2 many of the inventory items are perishable? 6 items items 111 items 0 items Objective: (4.) Solve Apps: Multiply and Divide Fractions ) Mrs. Montoya installed 1 -inch roofing shingles on top of a 1 -inch vapor barrier. What was the combined thickness of the two materials? 2 inch 1 16 inch 1 4 inch 1 2 inch Objective: (4.4) Solve Apps: Add or Subtract Fractions Graph the numbers on the number line. 6) 4 and - 4-4 - -2-1 0 1 2 4 Find the sum or difference. Write the answer in lowest terms. ) 1 2 - - 6 19 2 14 19 2 19 14 Objective: (4.4) Add or Subtract Signed Fractions -4 - -2-1 0 1 2 4-4 - -2-1 0 1 2 4-4 - -2-1 0 1 2 4-4 - -2-1 0 1 2 4 4) 4x2-4 4x2 x4 4x2 4 x2 Objective: (4.4) Add or Subtract Rational Expressions Objective: (4.) Graph Mixed Number or Improper Fraction on Number Line Write the mixed number as an improper fraction. ) -14 1-1 - 141-14 - 11 Objective: (4.) Write Mixed Number as Improper Fraction 9
Write the improper fraction as a mixed number in simplest form. ) 26 1 4 2 1 4 2 4 1 4 Objective: (4.) Write Improper Fraction as Mixed Number First, round the mixed numbers to the nearest whole number and estimate the answer. Then find the exact answer and write it in simplest form. 9) 2 2 1 2 1 2 2 1 1 24 2 1 2 1 1 2 Objective: (4.) Multiply or Divide Mixed Numbers 90) 11 2-6 11 2 9 Objective: (4.) Add or Subtract Mixed Numbers 91) To obtain a certain shade of paint, Peter 92) 9) 4 64 4 1 1 4 1 61 64 Objective: (4.6) Use Exponents with Fractions 9 1 2 1 9 2 00 Objective: (4.6) Simplify Using Order of Operations (Fractions) 94) Linda sewed square buttons on her jacket that 9) were 1 in. on each side. Find the area of one 12 button using the formula A = s2. 1 6 in. 2 1 in.2 1 144 in. 2 1 4 in. 2 Objective: (4.6) Solve Apps: Find Area and Perimeter (Fractions) - 2 1 mixed 1 2 gallons of white paint with 4 2 gallons of brown and 2 1 gallons of blue paint. 4 How much paint did he have? 12 1 gal gal 2 1 gal 12 gal - 90 12 6-11 120 12 Objective: (4.6) Simplify Complex Fraction Objective: (4.) Solve Apps: Fractions and Mixed Numbers