Math Review for Grade 7 Benchmark 4 - Weeks 25 and 26
This math review covers various topics for Grade 7 students, including order of operations, algebraic expressions, fractions, decimals, geometry, and more. The review includes solving equations, finding means, working with percentages, and calculating area and absolute values. It's a comprehensive resource to enhance math skills.
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Daily Math Review Grade 7 Benchmark 4 Revised 2/26/2018
BENCHMARK 4 WEEK 25
WEEK 25, DAY 1 1. Solve using the correct order of operations: (5 - 32) + 9 5 = 2. 7.36 4.6 = 1 8 1 4 3 8 3. Solve for x: = (x) - 4. Create a data set with 5 items that has a mean of 7. 5. Describe the sum of the following equation: a + (-a) = x
WEEK 25, DAY 2 1. What is the prime factorization of 42? 2. What is the absolute value of 5 less than 12? 3. What is the area of this rectangle: How can you use this skill to find the volume of a prism? 6ft 4. Solve for x: 3x + 4 = 15 8ft 5. What is the mean of the following numbers? 5, 7, 2, 9, 5
WEEK 25, DAY 3 1. You owe your friend $3.45 for lunch. You give him $1.27 from your allowance. How much do you still owe? 3 in 2. What is the area of this circle? 3. Convert 40% to a fraction and a decimal. 4. What is the value of 7 - 1.4p, if p = 3 ? 5. What is the range of the following numbers? 5, 7, 2, 9, 5
WEEK 25, DAY 4 1) 3/5 of your teammates want to wear red jerseys. 1/4 of those teammates also want to wear red pants. What fraction want to wear red jerseys and pants? 2) (-6420) - (84) = 6_ 5_ 5 - (- )= 13 3) 3 4) Convert 20% to a fraction and a decimal. 5) Simplify the following expression by combining like terms. 5a - 2 + ab - 2a + 1 - 2ab
FRIDAY FIVE 1. Solve using the correct order of operations: (5 - 32) + 9 5 = 2. 7.36 x 4.6 = 3. What is the value of 7 - 1.4p, if p = 3 ? 4. Solve for x: 3x + 4 = 15 5. Convert 40% to a fraction and a decimal.
BENCHMARK 4 WEEK 26
WEEK 26, DAY 1 1) Sean pays $44.20 for his date. They go to a movie, at $12 per ticket. They buy popcorn ($8.30), soda ($5.20), and candy. How much did the candy cost? 2) You borrow $40 from your parents at 10% interest. How much do you have to pay back? 3) 4/21 x 6/8 4) What is the absolute value of 37 - 41? 5) Find the mean of this data set: 2, 4, 3, 7, 6
WEEK 26, DAY 2 1) A 3-day road trip costs $220. You have $112.40 saved. Your grandmother gives you $50. How much more do you need? 2) 1/2 of the in your class students like ham. Of them, 4/5 like turkey-ham. What fraction of students in your class like turkey-ham? 3) Find the mean, median, and mode: 19, 22, 18, 10, 22, 11 4) Simplify: |22 - 31| + 7 5) 3.4 - =
WEEK 26, DAY 3 1) The length of a grocery store is 99 ft. The perimeter is 326 ft. What is the width? 2) The fair costs $7 and soda is $2.50. I want a hot dog too, but it s $3.75 and I have a total of $13 for the day. Do I have enough? 3) (-364) + (-25) + 63 = 4) Consider the data set: (7, 5, 5, 5, 10, 12). Do you expect the mean to be more or less than the mode? Why? 5) Find the mean: (7, 5, 5, 5, 10, 12)
WEEK 26, DAY 4 1) What is the prime factorization for 135? 2) Convert 1/6 to a decimal and a percent. 3) What is the radius of this circle, given an area of 113.04 square inches? r 4) Solve for x: 3x - 0.6 = 9.4 5) What is the range of the following numbers? 5, 7, 2, 9, 5
FRIDAY FIVE 1) What is the prime factorization for 135? 2) 1/2 of the students in your class like ham. Of them, 4/5 like turkey-ham. What fraction of students in your class like turkey-ham? 3) Find the mean, median, and mode: 19, 22, 18, 10, 22, 11 4) What is the absolute value of 37 - 41? 5) The length of a grocery store is 99 ft. The perimeter is 326 ft. What is the width?
BENCHMARK 4 WEEK 27
WEEK 27, DAY 1 1) The 7th grade students are going on a field trip which costs $8 per student, and the PTA has donated $1,200. How much does the school still have to pay if there are 172 7th graders? 2) Which of these expressions have solutions less than zero? 5 + ( -5) ( -5) + ( -5) ( -5) - ( -5) 3) If you remove the outliers from a set of data, will the Mean Absolute Deviation get bigger or smaller? Why? 4) What is 15% of 75? 5) Give two examples of a rational number.
WEEK 27, DAY 2 1) 3/5 of your teammates want to eat oranges. 1/4 of those teammates also want to drink Gatorade. What fraction want to drink Gatorade & eat oranges? 2) Solve using the correct order of operations: 6 + 4(8 - 3)2 = 3) Which of these expressions have solutions greater than zero? 5 + ( -5) ( -5) + ( -5) ( -5) - ( -5) 4) Write an equivalent expression for (7x + 14) 5) List two conditions of an irrational number.
WEEK 27, DAY 3 1) Your paper is 12 inches long. You cut it into 3/4 inch pieces. How many pieces do you have? 2) What is the greatest common factor for 12 and 30? 3) Convert 8.6 into a percent. 4) What is the area of this square, if it is one side of cube with a volume of 64 cubic feet? s s 5) Solve for x: 5(x + 3) - 25 = 20
WEEK 27, DAY 4 1) Jacky has $27.56 left in her purse. How many whole gallons of gas can she purchase if it costs $3.52 per gallon? 2) Write an inequality to represent the problem. Then solve. Joe has saved $37. If he wants at least $125 for his trip to Disneyland, how much more money does he need to save? 3) 1.5 + 2/5 = 4) -7 1/2 = 5) Give two examples of irrational numbers.
FRIDAY FIVE 1) Your paper is 12 inches long. You cut it into 3/4 inch pieces. How many pieces do you have? 2) Solve using the correct order of operations: 6 + 4(8 - 3)2 = 3) If you remove the outliers from a set of data, will the Mean Absolute Deviation get bigger or smaller? Why? 4) What is the area of this square, if it is one side of cube with a volume of 64 cubic feet? 5) Give two examples of irrational numbers.
BENCHMARK 4 WEEK 28
WEEK 28, DAY 1 1) Solve for x: 3x + 12 = 20 2) If you run 5 kilometers in 20 minutes, how many kilometers do you run in 1 minute? 3) 3/7 4/11 = 4) What is 25% of 400? 5) Which THREE fractions are equivalent? 1/2 17/35 18/36 75/150 36/92
WEEK 28, DAY 2 1) What is the circumference of a circle with d = 7in? 2) What is the area of a circle with d = 7in? 3) Which of these numbers are irrational? 1/3, , 7.2, 3, 22 4) 8.5 is 17% of what number? 5) -2 + (-1 )
WEEK 28, DAY 3 worm snake 1in 3in 3in 9in 5in 15in 1) What is the rate of change for the growth or worms and snakes? 2) What is the greatest common factor for 60 and 100? 3) 5 + (-1 ) = 4) -3 - (-1 ) = 5) Solve for x: 2x = 6 - 1
WEEK 28, DAY 4 1. How much did I spend on my $12 meal with 7% tax and a 17% tip left after tax? 2. Why is considered an irrational number? 3. Find one possible value for w in this equation: 312 = (4)(w)(h) 4. Which expressions are negative -7 3 a3 if a is not negative -7 2 a3 if a is negative 5. What is the slope of a line with this equation: y = -8x + 12? What does the slope tell you about the line?
FRIDAY FIVE 1. How much did I spend on my $12 meal with 7% tax and a 17% tip left after tax? 2. What is 2% of 19? 3. Which of these numbers are irrational? 1/3, , 7.2, 3, 22 4. If you run 5 kilometers in 20 minutes, how many kilometers do you run in 1 minute? 5. Solve for x: 2x = 6 - 1
BENCHMARK 4 WEEK 29
WEEK 29, DAY 1 1) What is the circumference of the circle? r = 7in 2) What is the area of the circle? 3) 15 is 7.5% of what number? 4) 1.24 - 0.65 = 5) You graph the balance of your savings account over time. Which graphs show that you probably spend more than you save? a. b. c. d.
WEEK 29, DAY 2 1) What is the circumference of the circle? d = 4 cm 2) What is the area of the circle? 3) What is the probability of rolling a dice and flipping a coin and getting an even number and tails? 4) 108 is 90% of what number? 5) Find the height of a rectangular prism with a volume of 210 cubic feet, a length of 5 feet, and a width of 6 feet.
WEEK 29, DAY 3 1) 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) You earn 7.5% interest on your $100 each month. At the end of one month, how much money do you have altogether? 3) Simplify: 7(2x + 3) + 3(1 - 3x) 14 27 7 x 4) Solve for x. = 5) 1.53 0.45 =
WEEK 29, DAY 4 c=5 a=5 1) Identify the base and height of the triangle. b d=8 b=7 2) For the triangle to the right, find the perimeter and area. 3) What is 6% of 300? 4) Write two equivalent expressions for:8(x - 4) 5) Tell whether or not these ratios demonstrate a proportional relationship. Justify your answer. 6 30 45 9
FRIDAY FIVE 1) Solve for x. 14 27 7 x = 2) What is the area? r = 7 in 3) Find the height of a rectangular prism with a volume of 210 cubic feet, a length of 5 feet, and a width of 6 feet. 4) Simplify: 7(2x + 3) + 3(1 - 3x) 5) Tell whether or not these ratios demonstrate a proportional relationship. Justify your answer. 6 30 9 45
BENCHMARK 4 WEEK 30
WEEK 30, DAY 1 1) What is the rate of change for the recipe? sugar flour 1C 4C 2C 8C 3C 12C 2) Solve and graph on number line: -3(x - 2) < 12 3) A square box is 9 cm tall. If you fill it 1/3 with water, how much water did you use? 4) A box is 5 inches tall and 3 inches wide. If it can hold 75 cubic inches of cotton, what is the length? 5) -6 + (-2 )
WEEK 30, DAY 2 1) Solve for x: 3x = 320 - 62 54 52 height in inches 50 48 5 4 6 7 2) What is the slope of the child s growth? age 3) Shyla buys some new games. Her total comes to $95.65. She had a coupon for 30% off. How much did she save? 4) What is the probability of rolling a dice and flipping a coin and getting a 2 or a 3 and tails? 5) If you run 5 kilometers in 25 minutes, how many kilometers do you run in 1 minute?
WEEK 30, DAY 3 1) 478 + 21 (- 3) = 2) You get 3% interest on your savings each month. If you deposit $840, how much do you have at the end of the month? 3) Find the volume of a cube with a side length of 4.5 cm. 4) 1.678 + 1/4 = 5) You graph the balance of your savings account over time. Which graphs show that you actually spend LESS than you save? a. b. c. d.
WEEK 30, DAY 4 1) Solve using the correct order of operations: 50 - 5 2 = 2) What is the volume of this figure? 5 in 1.5 in 1 in 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) 5 7/9 - (-2 1/3) =
FRIDAY FIVE 1) Solve using the correct order of operations: 50 - 5 2 = 54 52 2) What is the slope of the child s growth? height in inches 50 48 5 4 6 7 3) A square box is 9 cm tall. If you fill it 1/3 with water, how much water did you use? age 4) A box is 5 inches tall and 3 inches wide. If it can hold 75 cubic inches of cotton, what is the length? 5) 1.678 + 1/4 =
BENCHMARK 4 WEEK 31
WEEK 31, DAY 1 1) What is the prime factorization of 42? 2) Convert 40% to a fraction and a decimal. 6ft 3) What is the area of this rectangle: 8ft 4) Solve for x: 3x + 4 = 15 5) What is the average of the following numbers? 5, 7, 2, 9, 5
WEEK 31, DAY 2 1) What is the least common multiple for 8 and 12? 2) Convert 0.8 to a fraction and a percent. 6ft 3) What is the area of this figure: 8ft 4) Solve for x: 4x - 4=16 3 ft 2ft 5) What is the mean of the following numbers? 5, 7, 2, 9, 5
WEEK 31, DAY 3 1) If 3 out 5 students play sports at school, how many students play sports if there are 720 students? 2) Convert 2/7 to a decimal and a percent. 3 in 3) What is the area of this circle? 4) Solve for x: 3(x - .6) = 9.4 5) What is the mode of the following numbers? 5, 7, 2, 9, 5
WEEK 31, DAY 4 1) What is the greatest common factor for 12 and 30? 2) Convert 8.6 into a percent. 4cm 3) What is the area of this square? 4cm 4) Solve for x: 5x + 12 = 20 5) What is the MAD of the following numbers? 5, 7, 2, 9, 5
FRIDAY FIVE 1) What is the prime factorization of 42? 2) Convert 40% to a fraction and a decimal. 3 in 3) What is the area of this circle? 4) Solve for x: 5x + 12 = 20 5) What is the mode of the following numbers? 5, 7, 2, 9, 5
BENCHMARK 4 WEEK 32
WEEK 32, DAY 1 1) You have 4 Oreos and 2 chocolate chip cookies in a jar. What is the probability of pulling two Oreos in a row? 2) (10-5) + (-5 +15) = 3) Justin buys $14.25 worth of sushi. With 7.5% tax and a 18% tip, how much does he pay? 4) Groupon saved you 24% on the greatest shoes you ve ever seen.. Original price $80. What did you pay? 5) -6 + (-2 ) =
WEEK 32, DAY 2 1) You have 2 pens and 3 pencils in your pocket. What is the probability of pulling two pencils in a row? 2) (15-5) - (-25 -30) = 3) 3.9 3 = 4) 27 is 18% of what number? 5) -6 - (-2 ) =
WEEK 32, DAY 3 1) You have 2 picture frames, 3 pictures and a candy bar in your bag. What is the probability of pulling out the candy bar and then a picture? 2) 20 5 + (-10) - 15 = 3) A circular plate has a diameter of 12 inches. What is the area? 4) 13.5 is 15% of what number? 5) 6 - (-2 ) =
WEEK 32, DAY 4 1) What is 40% of 17? 7 in 2) What is the volume of this figure? 3 in 4 in 3) Sam buys a new pair of glasses. Her total comes to $171.43. If the ticket price is $158, what was the tax percentage? 4) Solve for x: 4(2x - 10) = 12x + 10 5) Simplify: 2/4 x 6/9
FRIDAY FIVE 1) You have 4 Oreos and 2 chocolate chip cookies in a jar. What is the probability of pulling two Oreos in a row? 2) (10 - 5) + (-5 + 15) = 3) You have 2 pens and 3 pencils in your pocket. What is the probability of pulling two pencils in a row? 4) 3.9 3 = 5) -6 + (-2 ) =
BENCHMARK 4 WEEK 33
