Grade 7 Math Review - Benchmark 2 Week 8-9
Practice solving math problems involving order of operations, functions, percentages, fractions, percent conversion, tax calculation, interest, and more in this Grade 7 Math Review for Benchmark 2 Week 8-9.
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DAILY MATH REVIEW GRADE 7 BENCHMARK 2
BENCHMARK 2 WEEK 8
WEEK 8, DAY 1 Solve using the correct order of operations: 7(5 - 2) + 14 7 = Use the rule x = 3y to complete the function chart. 5. 1. x 9 y 5 What is 25% of 400? 2. 21 27 1 5 6 3. = 12 4. Reduce: 48 120
WEEK 8, DAY 2 1. 3/5 of your class earned an A or a B last week. 1/4 of those earned an A. What fraction of your class earned an A? 2. Solve using the correct order of operations: 12 + 3(8 - 3) = 2 5 6 3. = 25% 4. -1.75 1/4 = Which THREE fractions are equivalent? 1/2 17/35 18/36 75/150 36/92 5.
WEEK 8, DAY 3 1. Your paper is 12 inches long. You cut it into 3/4 inch strips. How many pieces do you have? 2. What is the greatest common factor for 14 and 56? 3. Convert 2.6 into a percent. 6 cm 6 cm What is the area of this square? 4. Solve for x: 3x - 12 = 18 5.
WEEK 8, DAY 4 1. What is 60% of 700? 45 90 5 x = Solve for x: 2. (-515) - (824) - (-95) = 3. 3 5 5 3 - ( -3 ) = 6 4. Which THREE fractions are equivalent? 3/4 75/100 10/12 75/150 36/48 5.
FRIDAY FIVE Solve for x: 3x - 12 = 18 1. Your paper is 12 inches long. You cut it into 3/4 inch strips. How many pieces do you have? 2. 3 5 5 3 - ( -3 ) = 6 3. 4. What is 25% of 400? Which THREE fractions are equivalent? 1/2 17/35 18/36 75/150 36/92 5.
BENCHMARK 2 WEEK 9
WEEK 9, DAY 1 Your bill at a restaurant is $16.75. They add 8% tax. How much is the tax? Hint: ask yourself, How much is 8% of $16.75? Which is greater: .67 or 7/11? 1. 2. Convert 2.48 to a percent and fraction. 3. 1 6 5 Solve for x: 15 60 1 - ( -4 ) = 6 4. 5. X 90 =
WEEK 9, DAY 2 1/2 of the students in your class like pizza. Of them, 4/5 like pepperoni. What PERCENTAGE of your class likes pepperoni pizza? You earn 7.5% interest on your $100 each month. At the end of one month, how much money do you have altogether? 2. 1. 3. What is 120% of 12? 4. 1.53 .45 = 5. Solve for x. 14 27 7 x =
WEEK 9, DAY 3 You earn 5% interest on your $52. How much do you have all together? 1. 2. Solve for x. 13 x 5 4 = What is 40% of 17? 3. 4. (-12)(5) = 5. -12 + 5 - (-5) =
WEEK 9, DAY 4 You received an A on 80% of your formatives in math last quarter. At this rate, how many A s will you earn if there are 15 formatives this quarter? 2. You leave $2.70 in tip for your $15 meal. What percentage did you tip? 1. (-36)(-6) = 3. 1 3 3 4. 7 + ( - ) = 4 5. 6 is 20% of what number?
FRIDAY FIVE You received an A on 80% of your formatives in math last quarter. At this rate, how many A s will you earn if there are 15 formatives this quarter? Your bill at a restaurant is $16.75. They add 8% tax. How much is the tax? 1. 2. 3. What is 120% of 12? 4. Solve for x. 13 x Which is greater: .67 or 7/11? 5. 5 4 =
BENCHMARK 2 WEEK 10
WEEK 10, DAY 1 My parents find out that I have been taking 15% of my sister s allowance and tell me I have to refund her money for four weeks plus a 500% penalty. How much do I now owe her? My sister gives me 15% of her allowance each week to stay on my side of our shared room. If she gets $8 per week, how much does she pay me each week? 1. 2. 3. What is 10% of 62? x feet 7 inches 5 feet 2 inches= 4. Use cross products to solve: 1 6 3 -3 + ( -2 ) = 5 5.
WEEK 10, DAY 2 Travis can swim 3/4 mile in 1/2 hour. What is the unit rate of miles per hour? 1. Graph the solution set. 5x - 4 < 36 2. What is the difference between using cross products and cross canceling ? 3. 4. 13.2 is 60% of what number? 5 8 1 _ _ = 10 5.
WEEK 10, DAY 3 At basketball practice, Alex makes 3 out of her last 5 free throw attempts. At this rate, how many free throws will she make in her next 30 attempts? 2. A pair of jeans is only $12 after a 60% discount. What is the original price? 1. What is 85% of 160? 3. Solve for x. 4x + 5(2x - 3) = 125 4. 7 8 .4 = 5.
WEEK 10, DAY 4 Is this proportion set up correctly? If not, how would you fix it? Justify your answer. 12 cm 1 m 2. 1. Find the slope: y = -5x + 2 x cm 5 m = 8.5 is 17% of what number? 3. If you run 5 kilometers in 20 minutes, how many kilometers do you run in 1 minute? 4. 1 5 3 -2 - ( -1 ) = 4 5.
FRIDAY FIVE Travis can swim 3/4 mile in 1/2 hour. What is the unit rate of miles per hour? 1. 2. Find the slope: y = -5x + 2 What is the difference between using cross products and cross canceling ? 3. Solve for x. 4x + 5(2x - 3) = 125 4. 5 feet 2 inches x feet 7 inches 5. Use cross products to solve: =
BENCHMARK 2 WEEK 11
WEEK 11, DAY 1 What is the rate of change, or constant of proportionality, for perfect granola? Pretzels M&Ms 1. 1C .5 C 3 C 1.5 C 5 C 2.5 C What is the slope of the increased allowance graph? $6 2. $5 allowance $4 $3 3. What is 65% of 70? 8 10 12 14 age Convert .36 to a percent and a fraction. 4. 5 8 88 250 5. =
WEEK 11, DAY 2 Is the growth of snakes to worms proportional? What is the rate of change? 1. 1in 3in 3in 9in 5in 15in worm snake 2. What is the greatest common factor for 60 and 100? 4_ 53 + (-.25) = 3. Solve for x: x 27=1 Solve for x: 2(x - 4) = 20 4. 5. 3
WEEK 11, DAY 3 54 What is the slope of the child s growth? 1. 52 height in inches 50 48 5 4 6 7 2. 15 is what percent of 60? age Find the value of this expression for x = 12: 10x + 2x(8 - x) 3. Sally read 14 books in 6 weeks of summer vacation. How many books did she read each week during summer? 4. 5. How many books would Sally have read if her summer vacation had been 10 weeks?
WEEK 11, DAY 4 What is the rate of change for the recipe? How much flour would you use for 4 cups of sugar? 1. 1C 4C 2C 8C 3C 12C sugar flour Solve and graph on number line: -3(x - 2) < 12 2. 24 x 5 2 Use cross products to find the missing value: 3. = 7 9 -3 5 4. 5. -23 - (-40) = =
FRIDAY FIVE What is the rate of change for perfect granola? Pretzels M&Ms 1. 1C .5 C 3 C 1.5 C 5 C 2.5 C Use cross products to find the missing value: 24 x 5 2 2. = 4_ 53 3. + (-.25) = Sally read 14 books in 6 weeks of summer vacation. How many books did she read each week during summer? 4. 5. Solve for x: 2(x - 4) = 20
BENCHMARK 2 WEEK 12
WEEK 12, DAY 1 Identify the base and height of the triangle. 1. 2. a For the same triangle, if a = 5, b = 7, c = 5, and d = 8, find the perimeter and area. c b d 3. What is 6% of 300? 4. 1.24 - .65 = Tell whether or not these ratios demonstrate a proportional relationship. Justify your answer. 6 30 45 5. 9 ,
WEEK 12, DAY 2 What kind of triangle is this? Justify your answer. 1. 2. 7 7 Find the area. 9 a. Right Triangle b. Equilateral Triangle c. Isosceles Triangle 12 3 4 7 9 3. = 4. 108 is 90% of what number? Find the slope, or rate of change: 3 1 6 -5 -11 -17 9 12 5.
WEEK 12, DAY 3 What kind of triangle is this? Justify your answer. 2. 1. Find the area.12 15 a. Right Triangle b. Equilateral Triangle c. Isosceles Triangle d. Obtuse Triangle 8 3. How much did I spend on my $12 meal with 7% tax and a 17% tip left after tax? 1 3 2 9 = 3.9 - 3 = 4. 5.
WEEK 12, DAY 4 Solve for x: 150 = 3(2x + 10) 1. (-24) + (12) - (-51) = 2. Mom bought a 5 pound beef roast for $15.45. What is the unit price of the roast? 3. 4. 27 is 18% of what number? 1 4 3 -6 + ( -2 ) = 4 5.
FRIDAY FIVE a For the triangle, if a = 5, b = 7, c = 5, and d = 8, find the perimeter and area. c 1. b d Mom bought a 5 pound beef roast for $15.45. What is the unit price of the roast? 2. 3. 1.24 -.65 = 4. What is 6% of 300? Find the slope, or rate of change: 5. 3 6 9 12 - 11 - 1 -5 17
BENCHMARK 2 WEEK 13
WEEK 13, DAY 1 Your bill at a restaurant is $20.30. They add 8% tax. How much is the tax? If you add a 20% tip to the total (including tax) from #1, how much do you pay in total? 1. 2. On Tuesday, Stan completed 20 math problems in 10 minutes, and on Wednesday he completed 30 problems in 20 minutes. Is his rate constant? Why or why not? 3. 4. Write an equation represent this proportional relationship. The hight of a skyscraper, h, is equal to the number of floors, f, times 12 feet. 5.
WEEK 13, DAY 2 What is the rate of change for problems completed per minute? 1. Min 5 10 15 20 Prob 0 2 4 6 Does the data represent a proportional relationship? Why or why not? 2. 3. A blueprint has a scale of 2 inches to 5 feet. How wide will a room be if it is only 5 inches on the drawing? Solve for x: 26 x 5. =13 4. (24) + (78) - (-51) = 6
WEEK 13, DAY 3 1. Simplify: 5 - 16 2 = You are charged 20% interest on your credit card. If you charge $267 and do not pay it off, how much do you actually owe? 2. Is it possible to draw a triangle with a base of 25 inches and two legs that measure 11 inches each? Why or why not? 3. 4. Solve for x: 2x + 3x = 90 Name four angle pairs that are always congruent when formed by a transversal through parallel lines. 5.
WEEK 13, DAY 4 Draw a figure that has two pairs of congruent sides and two pairs of congruent angles. 1. You can buy a pack of 24 pencils for $6 or a pack of 48 pencils for $9.60. Which is a better deal? Why? 2. You purchase a sweater with an original price of $61.50. The sweater is discounted 80%. How much do you pay? 3. 4. (24) - (78) - (-51) = Solve for x: (2x + 30) + (3x - 45) = 180 5.
FRIDAY FIVE 1. Solve for x: (2x + 30) + (3x - 45) = 180 Name four angle pairs that are always congruent when formed by a transversal drawn through parallel lines. 2. Your bill at a restaurant is $20.30. They add 8% tax. How much is the tax? 3. Solve for x: 26 =13 x 6 4. A blueprint has a scale of 2 inches to 5 feet. How wide will a room be if it is only 5 inches on the drawing? 5.
BENCHMARK 2 WEEK 14
WEEK 14, DAY 1 1. Solve using the correct order of operations: 24 + 7(-15) = Can I construct a triangle with angles that measure 45 , 90 , and 25 ? 2. Solve for x: 3(x + 2) = 4x 3. Groupon saved you 34% on a weekend getaway to Disneyland! If the original price was $340, how much did you pay? 4. Six muffins cost $8. Eight muffins cost $9.60. Which is a better deal? Explain your answer. 5.
WEEK 14, DAY 2 What kind of triangle would you have if #1 was possible? Justify your answer. Is is possible to construct a triangle with angles measuring 60 , 60 , and 30 ? Explain your answer. 1. 2. a. Right Triangle b. Equilateral Triangle c. Isosceles Triangle d. Obtuse Triangle 1 3 3 5 + ( -1 ) = 4 3. Solve for x: 2x + 30 = x + 70 3 3 5 9 = 4. 5.
WEEK 14, DAY 3 On Tuesday, Dave completed 20 math problems in 10 minutes, and on Wednesday he completed 40 problems in 20 minutes. Is his rate constant? Why or why not? You are charged 30% interest on your credit card. If you charge $324 and do not pay it off, how much do you actually owe? 1. 2. -5/8 .5 = 3. Solve for x: 2x + (3x +25) = 180 4. 1 2 4 3 If angle 1 is equal to 120 , what are the measurements of angles 2, 3, and 4? 5.
WEEK 14, DAY 4 What is the circumference? 1. 2. What is the area? r = 4 in d = 8 in Are the circles in problems #1 and #2 the same size? Justify your answer. What is the rate of change for perfect granola? How many M&Ms would you use if you had 9 cups of pretzels? 3. 1C .5 C 3 C 1.5 C 5 C 2.5 C Pretzels M&Ms 4. 42 is what percent of 150? 5.
FRIDAY FIVE Solve for x: 2x + 30 = x + 70 1. Can I construct a triangle with angles that measure 45 , 90 , and 25 ? 2. r = 4 in What is the area? 3. You are charged 30% interest on your credit card. If you charge $324 and do not pay it off, how much do you actually owe? 4. 1 2 If angle 1 is equal to 120 , what are the measurements of angles 2, 3, and 4? 5. 4 3
BENCHMARK 2 WEEK 15
WEEK 15, DAY 1 Find the area of a circle with a radius of 13 cm. Give your answer IN TERMS of . 2. Solve for x: 1. 5x 2 4 2x + 10 26 x =13 Solve for x: 3. 6 A map has a scale of 1 inch = 10 feet. If the hiking trail is 2.4 inches on the map, how many miles is the trail? 4. You and a friend have lunch at Buffalo Wild Wings. Your food total is $21.40 and you leave a 20% tip. How much change will you get back if you pay with two $20 bills? 5.
WEEK 15, DAY 2 1. Solve for x: 3x + 75 = 6x $6 $5 allowance $4 What is the slope of the increased allowance graph? 2. $3 8 10 12 14 age (-7)(.06) = 3. Sharon buys a burger, fries and a shake for $14.25. With 7.5% tax and an 18% tip after tax, how much does she pay? 4. Find the circumference of a circle with a diameter of 7 inches. Use 22/7 for . 5.
WEEK 15, DAY 3 Find the area of a circle with a diameter of 12 inches. Give your answer in terms of . 1. Sharon buys a new outfit. Her total comes to $120.40. If the amount on the tags added up to $112, what was the tax percentage? 2. You earn 6% interest on your savings each month. If you deposit $650 on November 1, how much do you have at the end of November? 3. 4. -7 5 = 5. Which angle pairs are ALWAYS CONGRUENT? Vertical Complimentary Supplementary Corresponding
WEEK 15, DAY 4 Solve using the correct order of operations: 60 - 7 9 = 1. 2. Find the area and circumference of a circle with a radius of 5 feet. Use 3.14 for . You borrow $1200 at 40% interest. How much do you pay in interest? 3. You paid 4/5 of the $480 you owed. How much do you still owe? 4. 1 3 7 5. 5 - ( -2 ) = 9
FRIDAY FIVE What is the slope of the increased allowance graph? 2. Solve for x: 1. 5x $6 $5 allowance 2x + 10 $4 $3 8 10 12 14 age 3. Find the circumference of a circle with a diameter of 7 inches. Use 22/7 for . 4. A map has a scale of 1 inch = 10 feet. If the hiking trail is 2.4 inches on the map, how many miles is the trail? Sharon buys a new outfit. Her total comes to $120.40. If the amount on the tags added up to $112, what was the tax percentage? 5.
BENCHMARK 2 WEEK 16
