DAILY MATH REVIEW GRADE 7 BENCHMARK 2 BENCHMARK

DAILY MATH REVIEW GRADE 7 BENCHMARK 2

BENCHMARK 2 WEEK 8

WEEK 8, DAY 1 Solve using the 1. correct order of operations: 7(5 - 2) + 14 ÷ 7 = 2. What is 25% of 400? Use the rule x = 3 y to 5. complete the function chart. x 9 5 21 27 3. 5 6 4. 1 = 12 Reduce: 48 120 y

WEEK 8, DAY 2 3/5 of your class earned an A or a B last week. 1/4 of 1. those earned an A. What fraction of your class earned an A? 2. Solve using the correct order of operations: 2 3. 12 + 3(8 - 3) = 5 • 25% = 6 4. -1. 75 • 1/4 = Which THREE fractions are equivalent? 5. 1/2 17/35 18/36 75/150 36/92

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. 4. What is the area of this square? 5. Solve for x: 3 x - 12 = 18 6 cm

WEEK 8, DAY 4 1. 2. 3. 4. What is 60% of 700? Solve for x: 5 x 45 90 = (-515) - (824) - (-95) = 3 5 3 - ( -3 ) = 5 6 5. Which THREE fractions are equivalent? 3/4 75/100 10/12 75/150 36/48

FRIDAY FIVE 1. Solve for x: 3 x - 12 = 18 2. Your paper is 12 inches long. You cut it into 3/4 inch strips. How many pieces do you have? 3. 4. 5. 3 5 3 - ( -3 ) = 5 6 What is 25% of 400? Which THREE fractions are equivalent? 1/2 17/35 18/36 75/150 36/92

BENCHMARK 2 WEEK 9

WEEK 9, DAY 1 Your bill at a restaurant 1. is $16. 75. They add 8% tax. How much is the tax? Hint: ask yourself, “How much is 8% of $16. 75? ” 3. 4. 2. Which is greater: . 67 or 7/11? Convert 2. 48 to a percent and fraction. 1 5 1 - ( -4 ) = 6 6 5. Solve for x: 15 60 X 90 =

WEEK 9, DAY 2 3. 1/2 of the students in your class like pizza. Of them, 4/5 like pepperoni. What PERCENTAGE of your class likes pepperoni pizza? What is 120% of 12? 4. 1. 53 ÷. 45 = 1. 2. You earn 7. 5% interest on your $100 each month. At the end of one month, how much money do you have altogether? 5. Solve for x. 14 = 27 7 x

WEEK 9, DAY 3 1. Solve for x. 3. 13 5 = x 4 What is 40% of 17? 4. (-12)(5) = 5. -12 + 5 - (-5) = 2. You earn 5% interest on your $52. How much do you have all together?

WEEK 9, DAY 4 You leave $2. 70 in tip 1. for your $15 meal. What percentage did you tip? 3. 4. 5. (-36)(-6) = 73 4 + ( -1 =3 You received an “A” on 2. 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? ) 6 is 20% of what number?

FRIDAY FIVE 1. Your bill at a restaurant is $16. 75. They add 8% tax. How much is the tax? 3. What is 120% of 12? 4. Solve for x. 13 5 = x 4 You received an “A” on 2. 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? 5. Which is greater: . 67 or 7/11?

BENCHMARK 2 WEEK 10

WEEK 10, DAY 1 My parents find out that My sister gives me 15% 1. of her allowance each 2. I have been taking 15% of my sister’s allowance week to stay on my side and tell me I have to of our shared room. If refund her money for she gets $8 per week, four weeks plus a 500% how much does she pay penalty. How much do I me each week? now owe her? 3. What is 10% of 62? x feet 5 feet 4. Use cross products to solve: = 2 inches 7 inches 5. 1 3 -3 + ( -2 ) = 6 5

WEEK 10, DAY 2 1. Travis can swim 3/4 mile in 1/2 hour. What is the unit rate of miles per hour? 2. Graph the solution set. 5 x - 4 < 36 What is the difference between using “cross 3. products” and “cross canceling”? 4. 5. 13. 2 is 60% of what number? 5_ _ 1 ÷ = 8 10

WEEK 10, DAY 3 1. 3. A pair of jeans is only $12 after a 60% discount. What is the original price? What is 85% of 160? 4. Solve for x. 5. 7 • . 4 = 8 At basketball practice, 2. 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? 4 x + 5(2 x - 3) = 125

WEEK 10, DAY 4 1. 3. 4. 5. Is this proportion set up 2. correctly? If not, how would you fix it? Justify your answer. 12 cm x cm = 1 m 5 m Find the slope: y = -5 x + 2 8. 5 is 17% of what number? If you run 5 kilometers in 20 minutes, how many kilometers do you run in 1 minute? 1 3 -2 - ( -1 ) = 5 4

FRIDAY FIVE 1. 3. Travis can swim 3/4 mile in 1/2 hour. What is the unit rate of miles per hour? 2. Find the slope: y = -5 x + 2 What is the difference between using “cross products” and “cross canceling”? 4. Solve for x. 4 x + 5(2 x - 3) = 125 5 feet x feet 5. Use cross products to solve: = 2 inches 7 inches

BENCHMARK 2 WEEK 11

WEEK 11, DAY 1 1. What is the rate of change, or constant of Pretzelsgranola? 1 C 3 C proportionality, for perfect M&Ms 2. What is the slope of the increased allowance graph? . 5 C 1. 5 C 5 C 2. 5 C $6 allowance $5 $4 $3 3. What is 65% of 70? 8 10 12 age 4. Convert. 36 to a percent and a fraction. 5. 5 88 • = 8 250 14

WEEK 11, DAY 2 1. 2. 3. 4. Is the growth of snakes to worms proportional? What is the rate of change? worm 1 in 3 in 5 in snake 3 in 9 in 15 in What is the greatest common factor for 60 and 100? 3 _ 5 4 + (-. 25) = Solve for x: 2(x - 4) = 20 5. Solve for x: 1 x = 27 3

WEEK 11, DAY 3 1. What is the slope of the child’s growth? 54 height in inches 52 50 48 2. 3. 4. 5. 15 is what percent of 60? 4 5 6 7 age Find the value of this expression for x = 12: 10 x + 2 x(8 - x) Sally read 14 books in 6 weeks of summer vacation. How many books did she read each week during summer? 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 1. much flour would you use for 4 cups of sugar? sugar 1 C 2 C 3 C flour 4 C 8 C 12 C 2. Solve and graph on number line: -3(x - 2) < 12 3. Use cross products to find the missing value: 4. 7 -3 • = 9 5 24 5 = x 2 5. -23 - (-40) =

FRIDAY FIVE 1. What is the rate of change for perfect granola? Pretzels 1 C 3 C 5 C M&Ms . 5 C 1. 5 C 2. Use cross products to find the missing value: 24 5 = x 2 3 _ 3. 5 4 4. (-. 25) Sally +read 14=books in 6 weeks of summer vacation. How many books did she read each week during summer? 5. Solve for x: 2(x - 4) = 20

BENCHMARK 2 WEEK 12

WEEK 12, DAY 1 1. Identify the a base and b height of the triangle. 3. What is 6% of 300? 4. 1. 24 • -. 65 = 5. c d For the same 2. triangle, if a = 5, b = 7, c = 5, and d = 8, find the perimeter and area. Tell whether or not these ratios demonstrate a proportional relationship. Justify your answer. 6 9 , 30 45

WEEK 12, DAY 2 1. 7 Find the area. What kind of triangle 2. is this? Justify your answer. 7 9 12 3. 4. 5. 3 7 • = 4 9 108 is 90% of what number? Find the slope, or rate of change: 3 1 a. Right Triangle b. Equilateral Triangle c. Isosceles Triangle 6 9 12 -5 -11 -17

WEEK 12, DAY 3 1. Find the area. 12 3. 4. 15 What kind of triangle 2. is this? Justify your answer. a. Right Triangle 8 b. Equilateral Triangle c. Isosceles Triangle d. Obtuse Triangle How much did I spend on my $12 meal with 7% tax and a 17% tip left after tax? 3. 9 ÷ - 3 = 5. 1 2 ÷ 3 9 =

WEEK 12, DAY 4 1. Solve for x: 150 = 3(2 x + 10) (-24) + (12) (-51) = 2. 3. Mom bought a 5 pound beef roast for $15. 45. What is the unit price of the roast? 4. 5. 27 is 18% of what number? 1 3 -6 + ( -2 ) = 4 4

FRIDAY FIVE 1. a b c For the triangle, if a = 5, b = 7, c = 5, and d = 8, find the perimeter and area. 2. d Mom bought a 5 pound beef roast for $15. 45. What is the unit price of the roast? 3. 1. 24 • -. 65 = 4. What is 6% of 300? 5. Find the slope, or rate of change: 3 6 9 12 - 1 -5 11 17

BENCHMARK 2 WEEK 13

WEEK 13, DAY 1 1. 3. 4. If you add a 20% tip Your bill at a restaurant is 2. to the total (including $20. 30. They add 8% tax) from #1, how How much is the tax? much do you pay in total? 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? 5. Write an equation represent this proportional relationship. The hight of a skyscraper, h, is equal to the number of floors, f, times 12 feet.

WEEK 13, DAY 2 1. What is the rate of change for problems completed per minute? 2. Does the data represent a proportional relationship? Why or why not? Min 5 10 15 20 Prob 0 2 4 6 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? 5. 4. (24) + (78) - (-51) = Solve for x: 26 = 13 x 6

WEEK 13, DAY 3 1. Simplify: 5 - 16 • 2 = 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? 3. 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? 4. Solve for x: 5. 2 x + 3 x = 90 Name four angle pairs that are always congruent when formed by a transversal through parallel lines.

WEEK 13, DAY 4 1. 2. Draw a figure that has two pairs of congruent sides and two pairs of congruent angles. 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? 3. You purchase a sweater with an original price of $61. 50. The sweater is discounted 80%. How much do you pay? 4. (24) - (78) - (-51) = 5. Solve for x: (2 x + 30) + (3 x - 45) = 180

FRIDAY FIVE 1. 2. 3. 4. 5. Solve for x: (2 x + 30) + (3 x - 45) = 180 Name four angle pairs that are always congruent when formed by a transversal drawn through parallel lines. Your bill at a restaurant is $20. 30. They add 8% tax. How much is the tax? Solve for x: 26 = 13 x 6 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?

BENCHMARK 2 WEEK 14

WEEK 14, DAY 1 1. Solve using the correct order of operations: 24 + 7(-15) = 2. Can I construct a triangle with angles that measure 45º, 90º, and 25º? 3. Solve for x: 3(x + 2) = 4 x 4. Groupon saved you 34% on a weekend getaway to Disneyland! If the original price was $340, how much did you pay? 5. Six muffins cost $8. Eight muffins cost $9. 60. Which is a better deal? Explain your answer.

WEEK 14, DAY 2 Is is possible to 1. construct a triangle with angles measuring 60º, and 30º? Explain your answer. 3. 4. What kind of triangle 2. would you have if #1 was possible? Justify your answer. a. b. c. d. 1 3 5 + ( -1 ) = 3 4 Solve for x: 2 x + 30 = x + 70 5. Right Triangle Equilateral Triangle Isosceles Triangle Obtuse Triangle 5 9 3 = 3

WEEK 14, DAY 3 1. 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? 3. -5/8 ÷. 5 = 4. 5. On Tuesday, Dave 2. 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? Solve for x: 2 x + (3 x +25) = 180 If angle 1 is equal to 120º, what are the measurements of angles 2, 3, and 4? 1 4 3 2

WEEK 14, DAY 4 What is the 1. circumference? 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 3. many M&Ms would you use if you had 9 cups of pretzels? Pretzels 1 C 3 C 5 C 4. M&Ms. 5 C 1. 5 C 5. 42 is what percent of 150? 2. 5 C

FRIDAY FIVE 1. Solve for x: 2 x + 30 = x + 70 2. Can I construct a triangle with angles that measure 45º, 90º, and 25º? r= 4 in 3. What is the area? 4. 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 If angle 1 is equal to 120º, what are 4 the measurements of angles 2, 3, 3 and 4? 5.

BENCHMARK 2 WEEK 15

WEEK 15, DAY 1 1. Find the area of a circle with a radius of 13 cm. Give your answer IN TERMS of π. 2. Solve for x: 4 5 x 2 2 x + 10 3. Solve for x: 26 = 13 x 6 A map has a scale of 1 inch = 10 feet. If the hiking trail 4. is 2. 4 inches on the map, how many miles is the trail? You and a friend have lunch at Buffalo Wild Wings. 5. 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?

WEEK 15, DAY 2 1. 2. Solve for x: 3 x + 75 = 6 x What is the slope of the increased allowance graph? $6 allowance $5 $4 $3 8 10 12 14 age 3. 4. 5. (-7)(. 06) = 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? Find the circumference of a circle with a diameter of 7 inches. Use 22/7 for π.

WEEK 15, DAY 3 1. Find the area of a circle with a diameter of 12 inches. Give your answer in terms of π. 2. 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? 3. 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? 4. -7÷ 5 = 5. Which angle pairs are ALWAYS CONGRUENT? Vertical Complimentary Supplementary Corresponding

WEEK 15, DAY 4 1. Solve using the correct order of operations: 60 - 7 • 9 = 2. Find the area and circumference of a circle with a radius of 5 feet. Use 3. 14 for π. 3. You borrow $1200 at 40% interest. How much do you pay in interest? 4. You paid 4/5 of the $480 you owed. How much do you still owe? 5. 1 7 5 - ( -2 ) = 3 9

FRIDAY FIVE 1. What is the slope of the increased allowance graph? $6 allowance $5 $4 $3 2. Solve for x: 5 x 2 x + 10 8 10 12 14 age 3. Find the circumference of a circle with a diameter of 7 inches. Use 22/7 for π. 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? 5. 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?

BENCHMARK 2 WEEK 16

WEEK 16, DAY 1 1. What is the rate of change for the recipe? sugar 1 C 2 C 3 C flour 4 C 8 C 12 C 2. Using the data from #1, how much flour would you use if you had 8 cups of sugar? A map has a scale of 1 4. 3. If a shirt is discounted 35% inch to 75 miles. If the map shows 4. 5 inches and the sales price is $60, from Tucson to the what is the original price of the shirt? California border, how many miles is it? 5. Which angle pairs are not always congruent? Adjacent Complimentary Vertical Alternate Interior Supplementa

WEEK 16, DAY 2 1. A $61. 50 sweater is 80% off. How much do you pay? Which of the following side lengths can be used to 2. draw a triangle? There may be more than one correct answer. Justify your answer choices. a. 4, 2, 8 b. 5, 7, 1 c. 10, 6, 2 d. 3, 2, 7 3. The entire circle to the right has a radius of 10 cm, while the grey center has a radius of 5 cm. What is the area of the purple portion? 4. (-30)(3)(-1) = 5. -15 + 12 = 10 cm 5 cm

1. 2. this angle diagram for WEEK 16, DAY 3 Usequestions 1, 2, and 3. List all the angles that are congruent to angle #4. If angle 1 = 5 x - 10 and angle 7 = 3 x + 40, what is x? 1 4 2 3 5 8 6 7 3. If angle 3 = 4 x - 10 and angle 4 = 110, what is x? 4. You get 3% interest on your savings each month. If you deposit $840, how much do you have after one month? 5. Leila buys a new guitar only pays $95. 65. She had a coupon for 30% off. How much did she save?

WEEK 16, DAY 4 50 - 5 1. Solve using the correct order of operations: 2. Find the value of x: . (6 x + 4) + 2 x = 90 3. You borrow $750 at 35% interest. How much do you pay in interest? 4. You are owed $500 and collect 65%. How much are you still owed? 5. If you cut out a circle with a radius of 2 cm from the center of a circle with a radius of 5 cm, how much is left of the larger circle? 2=

FRIDAY FIVE 1. (-30)(3)(-1) = 2. Find the value of x: (6 x + 4) + 2 x = 90 3. A map has a scale of 1 inch to 75 miles. If the map shows 4. 5 inches from Tucson to the California border, how many miles is it? 4. Leila buys a new guitar only pays $95. 65. She had a coupon for 30% off. How much did she save? 5. If you cut out a circle with a radius of 2 cm from the center of a circle with a radius of 5 cm, how much is left of the larger circle?