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Rational Numbers Proportional Reasoning Expressions, Equations, Inequalities Geometry and Measurement Data Analysis $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400

Rational Numbers $100 The shaded area on the grid represents the part of a rectangular wall that was painted. Each small square on the wall has the same dimensions. What percentage of the wall was painted?

Rational Numbers $100 24 ÷8 3 x20 60 = = = 60% 40 ÷8 5 x20 100

Rational Numbers $200 A team of workers took 168 hours to complete a task. A smaller team of workers will complete the same task, but it will take them 1.25 times as long as it took the first team. How long will it take the smaller team of workers to complete the task?

Rational Numbers $200 168 x 1.25 Two decimal places 840 3360 16800

Rational Numbers $300 A farmer watered ⅜ of a field. What percentage is equivalent to the fraction of the field the farmer watered?

Rational Numbers $300 If you can’t see the relationship to make the denominator 100, then you must divide to convert the fraction to a decimal. 8 3.000 -24 60 -56 40 -40 0.375 Then move the decimal two places to the right to convert to a percentage. 37.5%

Rational Numbers $400 Ralph paid $12.95 for a box of cards and $0.44 each for 16 stamps. What was the total cost, in dollars and cents, of the box of cards and the stamps?

Rational Numbers $400 Stamps 16 x 0.44 64 640 7.04 Total cost $ 12.95 Box of cards + $ 7.04 Stamps $ 19.99

Proportional Reasoning $100 A county with an area of 425 square miles has a population of 9,350 residents. How many residents are there per square mile?

Proportional Reasoning $100 Residents Square miles 9350 425 22 1 = = 22 residents per square mile

Proportional Reasoning $200 A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 5 gallons every 3 days. At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel?

Proportional Reasoning $200 x12 Gallons Days 5 3 60 x = = x12 36 days

Proportional Reasoning $300 Mr. Nelson sold 147 bags of popcorn and 216 bottles of water in 3 days. At this rate, how many more bottles of water than bags of popcorn will Mr. Nelson sell in 5 days?

Proportional Reasoning $300 216 −147 69 more bottles of water than bags of popcorn in 3 days ÷3 x5 Difference Days 69 3 23 1 x 5 = = ÷3 x5 115 more bottles of water than bags of popcorn in 5 days

Proportional Reasoning $400 Aiden asked a group of students to choose their favorite type of music from the choices of rock, hip-hop, and country. The results of the survey are shown in the graph. Based on the graph, how many students in a class of 360 students would be expected to choose hip-hop or rock as their favorite type of music?

Proportional Reasoning $400 x4 Hip-Hop plus rock Total surveyed 60 90 x 360 = = x4 240 students

Expressions, Equations, Inequalities $100 The model shows two equal expressions. What is the value of x?

Expressions, Equations, Inequalities $100

Expressions, Equations, Inequalities $200 What is the value of the expression? -5  2 – 12

Expressions, Equations, Inequalities $200 -5  2 – 12 PEMDAS says multiply first -10 – 12 Negative times positive is negative -10 + -12 Keep change change -22 Same team, add up the players

Expressions, Equations, Inequalities $300 A student needs to collect at least 10 flowers for a science project. The student has already collected 3 flowers. The inequality shown can be used to find n, the number of flowers the student still needs. n + 3 ≥ 10 Write an inequality to represent the solution set for this situation.

Expressions, Equations, Inequalities $300 -3 -3 n ≥ 7

Expressions, Equations, Inequalities $400

Expressions, Equations, Inequalities $400 A Fewer than 6 <6 B No more than 6 ≤6 This is the only one that matches the inequality symbol given in the problem C At least 16 ≥16 D Fewer than 6 <6

Geometry and measurement $100 In triangle FGH shown below, what is the measure of ∠F in degrees?

Geometry and measurement $100 The sum of the angles in a triangle equals 180°. Therefore, the measure of angle F is 19.5°.

Geometry and measurement $200 Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces?

Geometry and measurement $200 1 pound = 16 ounces 12.5 1 decimal x 16 750 1250 200.0 1 decimal 200 ounces

Geometry and measurement $300 A playground at a park is shaped like a trapezoid. The dimensions of the playground are shown in the diagram. What is the area of the playground in square feet?

Geometry and measurement $300 A = ½ (b1 + b2)h A = ½ (36 + 68)30 A = ½ (104)30 A = 52 x 30 A = 1560 ft2

Geometry and measurement $400 A clear file box shaped like a rectangular prism is modeled below. If the volume of the box is 2926 cubic inches, what is the height of the box?

Geometry and measurement $400 V = Bh, where B is the area of the base 2926 = 19 x 14 x h 2926 = 266h 11 = h

Data analysis $100 The ages of the members of a volunteer group can be represented by the box and whisker plot below. What is the interquartile range of the ages?

Data analysis $100 Lower quartile Upper quartile 21 − 14 7 The interquartile range is 7.

Data analysis $200 Students recorded the amount of liquid in fluid ounces each of them drank in one day. The box plot shows the summary of the results. What percentage of students drank from 78 to 114 fluid ounces?

Data analysis $200 50% of students drank 25% 25% 25% 25% from 78 to 114 fluid ounces 25% 25% 25% 25% Each section of a box plot represents 25% of the data.

Data analysis $300 The histogram shows the total number of swimmers in different age groups who participated in a swimming competition. Based on the histogram, how many swimmers were younger than 30 years old?

Data analysis $300 15 swimmers are younger than 30 years old 10 5

Data analysis $400 Hector surveyed 220 sixth grade students about their favorite after-school activity. The results of the survey are shown in the percentage bar graph. How many of the 220 students surveyed chose video games as their favorite after-school activity?

Data analysis $400 70% − 45% = 25% 25 100 1 4 x 220 25% of 220 = = = x = 55 students