Questions # 1-53 Provide review for the Mid-Term Questions # Provide review for the Final

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1 Central Carolina Technical College MAT Developmental Math Exam Review Questions # 1-53 Provide review for the Mid-Term Questions # Provide review for the Final SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Determine the place value of the digit 3 in the whole number. 1) 403,681,295 Objective: (1.2) Find the Place Value of a Digit in a Whole Number Subtract. Check by adding. 6) Objective: (1.4) Subtract Whole 7) 80,000-41,493 Objective: (1.4) Subtract Whole Write the whole number in words. 2) Paul has the number 24,730,208 showing on his calculator display. Add. Objective: (1.2) Write a Whole Number in Words and in Standard Form 3) Objective: (1.3) Add Whole 8) Francis has a total of $3106 in her checking account. If she writes a check for each of the items below, how much money will be left in her account? phone $ 48 rent $750 car $429 Objective: (1.4) Solve Problems by Subtracting Whole Find the perimeter. 4) 91 inches Round the whole number to the given place value. 9) 70,233 to the nearest thousand Objective: (1.5) Round Whole 95 inches 116 inches 125 inches Objective: (1.3) Find the Perimeter of a Polygon 5) Jesse is installing an invisible fence in his back yard which measures 112 feet by 65 feet by 85 feet by 98 feet. How many feet of wiring is needed to enclose his yard? Objective: (1.3) Solve Problems by Adding Whole Round the following to the nearest ten, nearest hundred, and nearest thousand. 10) 27,893 Objective: (1.5) Round Whole Use the distributive property to rewrite the expression. 11) 13( ) Objective: (1.6) Use the Properties of Multiplication 1

2 Multiply. 12) Objective: (1.6) Multiply Whole 18) If the area of a rectangle is 56 square centimeters and its length is 8 centimeters, what is its width? Objective: (1.7) Solve Problems That Require Dividing by Whole 13) Find the average of the list of numbers. 19) 164, 123, 145, 152, 161 Objective: (1.7) Find the Average of a List of Objective: (1.6) Multiply Whole 14) Objective: (1.6) Multiply by Whole Ending in Zero(s) 15) The textbook for a history class costs $113. There are 34 students in the class. Find the total cost of the history books for the class. Objective: (1.6) Solve Problems by Multiplying Whole 20) A 16-ounce can of tomato soup is priced at $1.12. What is the unit price per ounce? Objective: (1.8) Solve Problems by Adding, Subtracting, Multiplying, or Dividing Whole 21) A store orders 18 cases of action figures. Each case contains 94 action figures. How many action figures did the store order? Objective: (1.8) Solve Problems by Adding, Subtracting, Multiplying, or Dividing Whole Find the square root. 22) 121 Objective: (1.9) Evaluate the Square Root of a Perfect Square Divide. 16) Objective: (1.7) Perform Long Division Write using exponential notation. 23) Objective: (1.9) Write Repeated Factors Using Exponential Notation 17) Objective: (1.7) Perform Long Division Simplify. 24) {27 [8 - (3 + 2)]} Objective: (1.9) Use the Order of Operations 2

3 46(16-13) ) 32-3 Objective: (1.9) Use the Order of Operations Evaluate the expression for the given replacement values. 28) x + y for x = 6, y = 14 2 Objective: (2.1) Evaluate Algebraic Expressions Given Replacement Values Find the perimeter and the area of the figure. 26) 27 inches 29) (x + 4y)2 for x = 3, y = 3 Objective: (2.1) Evaluate Algebraic Expressions Given Replacement Values 9 inches Objective: (1.11) Chapter Test 30) 3x2 + 6y for x = 7, y = 4 Objective: (2.1) Evaluate Algebraic Expressions Given Replacement Values 27) Four swimming pools for a major hotel chain have the shape and dimensions shown below. One supplier is providing a tile border for all of the pools. He needs to know the perimeter of all four pools to get a cost estimate. Find the total perimeter. 40 feet Write the phrase as a variable expression. Use x to represent "a number." 31) 6 more than 9 times a number Objective: (2.1) Translate Phrases into Variable Expressions 32) The quotient of 41 and a number Objective: (2.1) Translate Phrases into Variable Expressions 45 feet 33) 7 less than 9 times a number? 55 feet 50 ft. Objective: (2.1) Translate Phrases into Variable Expressions 40 feet Graph the numbers on the number line. 34) -3, -1, 1, 3 45 feet Objective: (1.9) Use the Order of Operations Objective: (2.2) Graph Integers on a Number Line 3

4 Insert < or > to make the statement true. 35) 0-9 Objective: (2.2) Compare Integers Translate the phrase; then simplify. 42) Find the difference of -27 and -7. Objective: (2.4) Subtract Integers Simplify. 36) Objective: (2.2) Combine Concepts Add or subtract as indicated. 43) 19 - (-8) + (-11) Objective: (2.4) Add and Subtract Integers Find the opposite of the integer. 37) -22 Objective: (2.2) Find the Opposite of a Number Simplify. 44) Objective: (2.4) Combine Concepts Add. 38) (-77) Objective: (2.3) Add Integers Multiply. 45) -2(-7)(-7) Objective: (2.5) Multiply Integers 39) 13 + (-8) + (-2) Objective: (2.3) Add Integers 40) The Neighborhood Lemonade Stand, Inc. reported net incomes of -$148, -$131, and -$489 for the past three years. What was its total net income for these three years? Objective: (2.3) Solve Problems by Adding Integers Evaluate. 46) -94 Objective: (2.5) Multiply Integers 47) (-9)2 Objective: (2.5) Multiply Integers Subtract. 41) -6 - (-6) Objective: (2.4) Subtract Integers 4

5 Find the quotient. 48) Objective: (2.5) Divide Integers Evaluate the expression for x = -2, y = 3, z = ) 8x - 6y - 5z Objective: (2.6) Evaluate an Algebraic Expression 49) A checking account had a beginning balance of $ A deposit was made in the amount of $1484. Every month for 12 months $60 was withdrawn. How much money was left in the account at the end of the 12 months? Objective: (2.5) Solve Problems by Multiplying or Dividing Integers Write the fraction. 54) According to a recent study, 5 out of 18 visits to a hospital emergency room were for an injury. What fraction of emergency room visits were injury-related? Objective: (3.1) Write a Fraction to Represent Parts of Figures or Real-Life Data Graph the fraction on a number line. 55) 11 4 Simplify. 50) 3(-2)(9-5) - 6 Objective: (2.6) Simplify Expressions by Using the Order of Operations Objective: (3.1) Graph Fractions on a Number Line Write the prime factorization of the number. 56) 405 Objective: (3.2) Write a Number as a Product of Prime 51) [7 + (-2)]3 Objective: (2.6) Simplify Expressions by Using the Order of Operations Write the fraction in simplest form. 57) Objective: (3.2) Write a Fraction in Simplest Form 52) (-30) Objective: (2.6) Simplify Expressions by Using the Order of Operations 5

6 Write the fraction in simplest form. 58) As part of her fitness training, Alice plans to cycle 14 miles today. So far, she has cycled 12 miles. What fraction of the total miles for the day is represented by 12 miles? Objective: (3.2) Solve Problems by Writing Fractions in Simplest Form 62) Objective: (3.3) Evaluate Exponential Expressions with Fractional Bases Divide and simplify. 59) There are 4200 shoppers at a shopping mall. If 1000 are females, what fraction of the shoppers are males? Objective: (3.2) Solve Problems by Writing Fractions in Simplest Form 63) Objective: (3.3) Divide Fractions 64) Multiply. Write the answer in simplest form. Objective: (3.3) Divide Fractions 60) Objective: (3.3) Multiply Fractions Evaluate. 61) Perform the indicated operations. Write the answer in simplest form. 65) Objective: (3.3) Multiply and Divide Given Fractional Replacement Values Objective: (3.3) Evaluate Exponential Expressions with Fractional Bases Evaluate the expression for the given replacement values. Write the answer in simplest form. 66) x y for x = , y = 1 11 Objective: (3.3) Multiply and Divide Given Fractional Replacement Values 6

7 Write the fraction in simplest form. 67) A warehouse stores 1500 different inventory items. 1 of these items are perishable. How many of the 20 inventory items are perishable? Objective: (3.3) Solve Applications That Require Multiplication of Fractions 71) Objective: (3.4) Add or Subtract Like Fractions 72) Objective: (3.5) Add or Subtract Unlike Fractions 68) A recipe calls for 1 2 of a pound of sausage. How much sausage should be used if only 1 3 of the recipe is being made? Objective: (3.3) Solve Applications That Require Multiplication of Fractions 73) Objective: (3.5) Add or Subtract Unlike Fractions Add or subtract as indicated. Write the answer in simplest form. 2 69) Objective: (3.4) Add or Subtract Like Fractions 74) Objective: (3.5) Add or Subtract Unlike Fractions 70) Objective: (3.4) Add or Subtract Like Fractions Insert < or > to form a true sentence. 75) Objective: (3.5) Write Fractions in Order 7

8 Write the mixed number as an improper fraction. 76) Objective: (3.6) Write Mixed as Improper Fractions 81) Objective: (3.7) Add or Subtract Mixed Graph the list of numbers on the given number line. 77) 0, 1 2, 2 5 6, , 6 82) Objective: (3.7) Graph Positive and Negative Fractions and Mixed Objective: (3.7) Perform Operations on Negative Mixed Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number. 78) Objective: (3.7) Multiply or Divide Mixed or Whole Write the answer as a mixed number in simplest form. 83) A patient in rehabilitation walked on a treadmill 4 3 miles over 5 days. How many miles is this per 7 day? Objective: (3.7) Solve Problems Containing Mixed 79) Objective: (3.7) Multiply or Divide Mixed or Whole Write the decimal as a fraction or mixed number in lowest terms. 84) Objective: (4.1) Write Decimals as Fractions 80) Round the decimal to the given place value. 85) , nearest thousandth Objective: (4.1) Round Decimals to Given Place Values Objective: (3.7) Add or Subtract Mixed 8

9 Add. 86) Objective: (4.2) Add Decimals 91) In one week, Manisha worked 30.5 hours walking dogs and earned $241.50, including tips. How much did Manisha earn per hour? (Round to the nearest cent if necessary.) Objective: (4.4) Solve Problems by Dividing Decimals Subtract and check. 87) Objective: (4.2) Subtract Decimals Multiply. 88) Divide. 92) Objective: (4.4) Divide Decimals Objective: (4.3) Multiply Decimals Arrange the list of numbers in order from smallest to largest. Find the circumference of the circle. Then use the approximation 3.14 for and approximate the circumference. 89) 93) 5.25, 5 5 8, 5.52, Objective: (4.5) Compare Fractions and Decimals 17.5 m Write the fraction as a decimal. If necessary, use repeating decimal notation. 94) Objective: (4.5) Write Fractions as Decimals Objective: (4.3) Find the Circumference of a Circle Divide. 90) Objective: (4.4) Divide Decimals Simplify the expression ) -0.7 Objective: (4.5) Simplify Expressions Containing Decimals and Fractions Using Order of Operations 9

10 96) A basketball player made 66 out of 100 attempted free throws. What percent of free throws was made? Objective: (6.1) Understand Percent 100) 130% of what number is 52? Objective: (6.2) Solve Percent Problems 101) What number is 34% of 60? Objective: (6.2) Solve Percent Problems Write the percent as a decimal. 97) % Objective: (6.1) Write Percents as Decimals or Fractions 98) Write the equivalent fraction and percent for Objective: (6.1) Convert Percents, Decimals, and Fractions 102) A union contract calls for a 7.8% salary increase for all employees. Determine the increase that a worker currently making $30,140 under this contract can expect. Objective: (6.4) Solve Applications Involving Percent 99) For a recruitment brochure, a college presented the following graph indicating the continental homes of its student population. 103) A blouse costs $97 and a skirt costs $35. What is the total price for purchasing these items if the sales tax rate is 7.5%? Objective: (6.5) Calculate Sales Tax and Total Price 104) Find the simple interest when: Principal = $850, Rate = 6%, Time = 5 years Objective: (6.6) Calculate Simple Interest Write the percent of students from Asia as a fraction in simplest form. Objective: (6.1) Convert Percents, Decimals, and Fractions Round to the nearest cent, if necessary. 105) Mickey borrows $2400 for 5 months. If the interest is $144, find his monthly payment. Objective: (6.6) Calculate Monthly Payments 10