Name:___________________ Date:____________ Period:______ Unit 6 Miniquiz 1: Translating and Evaluating Part One: Translating Expressions Write the letter of the corresponding algebraic expression on the line. _____ seven more than twice a number b A. 7b - 2 _____ b less than seven B. 7 _____ two less than seven times a number b C. b-7 _____ a number b increased by 7 D. b 2b _____ seven less than a number b E. 7b _____ double a number b F. b _____ a number b divided by 7 G. 7b + 2 _____ seven times a number b increased by two H. 7-b _____ seven divided by b I. b+7 _____ the product of b and seven J. 2b + 7 7 Part Two: Evaluating Expressions Evaluate each expression using the values x = 8; y = -4; z = 2.2 showing ALL work. 11.) z2 + (x - y) 12.) 6x y Part Three: Translating and Evaluating using Tables and Function Rules 13.) Eddie has band practice in his garage on Saturdays. His band spends a total of one hour setting up and cleaning up. The rest of the time, they practice three songs every hour. Create a table showing the number of songs the band can practice in 2, 5, and h hours. Complete each table. Write a function rule for each table using x and y. Input Output 2 28 4 48 6 68 8 88 14.) Function Rule:_______________________________________ Input Output -2 -16 2 -12 5 -9 -4 15 15.) Function Rule:_______________________________________ Name:___________________ Date:____________ Period:______ Unit 6 Miniquiz 2: Addition and Subtraction Equations Part One: Solving Addition and Subtraction Equations Solve each equation using inverse operations. Show ALL algebra work. You can use the check step to check your answers! 1.) y – 87 = -129 2.) p – 34.8 = 96.25 3.) -2.3 + r = -8 4.) w + 34 = 57 5.) r + 99 = 77 6.) x 3 5 4 36 Part Two: Translating Word Problems Translate each word problem into an algebraic equation. Define the variable. You do NOT need to solve. 7.) The sum of a number and 20 is 28. 8.) Steve withdrew some money from his bank account to buy a new desk. The new balance on his account is $89. Before buying the desk, his account balance was $170. How much did Steve spend on the desk? 9.) 34 is sixteen less than a number. 10.) Bev ran 25 miles last week. This is eight less miles than Jan ran. How many miles did Jan run? Name:___________________ Date:____________ Period:______ Unit 6 Miniquiz 3: Multiplication and Division Equations Part One: Solving Multiplication and Division Equations Solve each equation using inverse operations. Show ALL algebra work. You can use the check step to check your answers! 1.) 3.) 5.) 7y = -147 c 12 3 4 -32k = -108 2.) h 26.8 1.3 4.) w 295 51 6.) -1.4r = 112 Part Two: Translating Word Problems Translate each word problem into an algebraic equation. Define the variable. You do NOT need to solve. 7.) The perimeter of a square with side length of s measures 21 inches. 8.) Each writing pad costs eighty cents. Sully bought writing pads that totaled $3.60. 9.) The product of negative four and a number is 36. 10.) Venus buys a big package of tennis balls. She is going to give them out to five friends (and keep some for herself). If each person gets 36 tennis balls, how many were in the package? Name:___________________ Date:____________ Period:______ Unit 6 Miniquiz 4: Two-step equations Part One: Solving Two-Step Equations Solve each equation using inverse operations. Show ALL algebra work. You can use the check step to check your answers! 1.) 4x + 12 = -4 2.) b 5 11 8 7 14 3.) y 2 14 6.5 4.) 2.2 5.) 6t 1 9 6 6.) -.8k - 3.1 = -8.3 p 3.2 7 Part Two: Translating Word Problems Translate each word problem into an algebraic equation. Define the variable. You do NOT need to solve. 7.) Oscar ran 25 miles. This is four less than twice the miles he ran last week. 8.) If you double my age and add six the result would be 26. 9.) Hank buys three shirts. The price of each shirt is the same. The three shirts together cost twelve dollars less than the original price. Hank’s total bill was $30. Write an equation for the original price. 10.) Fifteen more than the product of a number and four is twenty-one. Name:___________________ Date:____________ Period:______ Unit 6 Miniquiz 5: Inequalities Part One: Writing and Graphing Inequalities Define the variable and translate each inequality. Then graph it. 1.) To qualify as an elite runner, Jack must finish the race in under eighty minutes. 2.) In the United States, you must be at least eighteen years old to vote. 3.) Rat-tail fish can survive up to 7000 meters below sea level. Part Two: Solving 1- and 2-step Inequalities Solve each inequality showing all algebra. Graph the solutions. 4.) t > -0.2 1.8 5.) w - (-17.2) < 3.8 6.) -9.4c + 6 < -8.1 7.) 3 7 h 5 15 4 10