8th Grade Math Spiral Math Review Q3 - Weekly Practice Questions
Practice a variety of math problems including solving equations, finding slopes, probability calculations, writing mathematical statements, simplifying expressions, and more in this 8th-grade math spiral review. Each week covers different topics with daily exercises to enhance math skills and understanding.
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8thGrade Math Spiral Math Review Q3
8thGrade Math Spiral Math Review Q3 - Week 1
Week 1, Day 1 1) Solve for x: 3(x + 4) = 11 2) Which graph shows a greater rate of change, a or b? 3) Find the slope between the points: (1,7) and (-5, -11) 4) If a dice is rolled and a coin is tossed then what is the probability of getting a head and a 6? 5) Write as an exponent: x x x x x
Week 1, Day 2 1) Solve for x: 9(x - 1) = 7(x 2) 2) Find the rate of change for the graph shown: 3) Find the slope between the points: (2, 11) and (0, -1) 4) Write a mathematical statement to represent: 18 divided by a number times 7 5) Simplify: 3x 4x
Week 1, Day 3 1) Solve for x: 25x 27 = 12(x + 1) 2) Find the rate of change for the graph shown: 3) Find the slope between the points: (-3, -4) and (-5, 6) 4) Write as a mathematical statement: 12 more than 17 times a number 5) Simplify: 3xy 12xy
Week 1, Day 4 1) Solve for x: 30 x = 19 2) The graph shows the amount of water in a tub as it is being drained. The tub was being drained at rate of liters per minute. 3) Find the slope between the points: (-11, 4) and (-17, 4) 4) Write a mathematical statement for: 3 times a number decreased by 8 5) Simplify: y2 y2
Friday Five 1) Solve for x: 30 x = 19 2) Find the rate of change for the graph shown: 3) Find the slope between the points: (1,7) and (-5, -11) 4) If a dice is rolled and a coin is tossed then what is the probability of getting a head and a 6? 5) Simplify: y2 y2
8thGrade Math Spiral Math Review Q3 - Week 2
Week 2, Day 1 Function 1 Function 2 1) Which function has the greater rate of change? 2) A baby s hair was 6 cm long. After one month it was 2 cm longer. If the hair continues to grow at this rate, determine the function that represents the hair s growth. 3) Put the equation in slope-intercept form: 3x y = 17 4) What is 30% of 80? 5) Simplify:
Week 2, Day 2 1) Which function has the greater rate of change? Function 1 Function 2 y = 9x -10 2) Hannah's electricity company charges her $0.11 per kWh, plus a basic connection charge of $15.00 per month. Write a linear function that models her monthly electricity bill. 3) Put the equation in slope-intercept form: 2x + 5y = 25 4) You roll a single die numbered from 1 to 6 twice. What is the probability of rolling a 6 the first time and an odd number the second? 5) Simplify:
Week 2, Day 3 Function 1 Function 2 1) Which function has the lower initial value? y = 4x + 15 2) The water level of a river is 34 feet. It is receding at a rate of 0.5 foot per day. Write an equation for the water level. 3) Put the equation in slope-intercept form: 3x = 3y 12 4) What is 15% of 115? 5) Write an equivalent expression for:
Week 2, Day 4 1) Which population of ants is growing fastest? 2) A plumber charges $25 for a service call plus $50 per hour of service. Write an equation for the cost of service. 3) Put the equation in slope-intercept form: 2x + 5y = 25 4) What percent of 30 is 5? 5) Write an equivalent expression for:
Friday Five 1) Which population of ants is growing fastest? 2) The water level of a river is 34 feet. It is receding at a rate of 0.5 foot per day. Write an equation for the water level. 3) Put the equation in slope-intercept form: 3x = 3y 12 4) What is 30% of 80? 5) Write an equivalent expression for:
8thGrade Math Spiral Math Review Q3 - Week 3
Week 3, Day 1 1) Solve for f: 2) Write a linear model to represent the line shown in the graph. 3) Simplify: 4) If x = 7, evaluate 3x2 24 5) Solve the following inequality and graph its solution.
Week 3, Day 2 1) Solve for g: 2) Write a linear model to represent the line shown in the graph. 3) Simplify: 4) If y = -4, evaluate 3y2 4y 5) Sketch the graph of y = -x + 3
Week 3, Day 3 1) Solve for x: 2) Write a linear model to represent the line shown in the graph. 3) Simplify: 4) If x = 2 and y = -1, evaluate: 7(x2 y3) 5) The numbers 4 through 14 are placed in a bowel and drawn at random then replaced after being drawn. What is the probability of drawing the number 14 and then a number less than 12?
Week 3, Day 4 1) Solve for x: 2) Write a linear model to represent the line shown in the graph. 3) Simplify: 4) If x = -5 and y = 3, evaluate: 3x + 7xy 5) Sketch the graph of y = -3
Friday Five 1) Solve for x: 2) Write a linear model to represent the line shown in the graph. 3) Simplify: 4) If x=7, evaluate 3x2 24 5) Sketch the graph of y = -x + 3
8thGrade Math Spiral Math Review Q3 - Week 4
Week 4, Day 1 1) What type of relationship does the scatterplot show? 2) You roll a single die numbered from 1 to 6. What is the probability of rolling a number greater than 3 and then a number less than 3? 3) Write in standard form: 3 x 10-8 4) Write in scientific notation: 3,000,000,000 5) Write an equivalent expression for:
Week 4, Day 2 1) What type of relationship does the scatterplot show? 2) Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost? 3) Write in scientific notation: 7.3 million 4) Write in standard form: 4.3 x 106 5) Simplify:
Week 4, Day 3 1) What type of relationship does the scatterplot show? 2) You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? 3) Write in standard notation: 4.0 x 10-4 4) The distance between Earth and the moon is approximately 384,000 km. Write this in scientific notation. 5) Simplify: (3x-2)2
Week 4, Day 4 1) What type of relationship does the scatterplot show? 2) How old am I if 400 reduced by 2 times my age is 244? 3) Simplify: (2.3 x 103) x (4 x 10-2) 4) Write in standard form: 1.67 x 105 5) Simplify: 73(7-3)
Friday Five 1) What type of relationship does the scatterplot show? 2) How old am I if 400 reduced by 2 times my age is 244? 3) Write in scientific notation: 7.3 million 4) Write in standard form: 1.67 x 105 5) Simplify:
8thGrade Math Spiral Math Review Q3 - Week 5
Week 5, Day 1 1) Write an equation to solve: On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138. Find the lowest grade. 2) Write the equation for the line of best fit on the scatterplot shown. 3) Solve: 4) Simplify: 5) Graph the equations to solve this system: y = 2x - 4 y = -x + 5
Week 5, Day 2 1) Write an equation to solve: In a given amount of time, Jamie drove twice as far as Rhonda. All together they drove 90 miles. Find the number of miles driven by each. 2) Write the equation for the line of best fit on the scatterplot shown. 3) The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel followed by an M ? 4) Simplify: (3 x 108) x (4 x 102) 5) Graph the equations to solve this system: y=-2x+5 y=x+2
Week 5, Day 3 1) Write an equation to solve: Karen works for $6 an hour; 25% of her salary is deducted for taxes and insurance. How many hours must she work to take home $450 if she saves all of her earnings? 2) Write the equation for the line of best fit on the scatterplot shown. 3) Solve: 4) Simplify: (9 x 103) x (6 x 10-10) 5) Graph the equations to solve this system: y = 3x 7 y = x + 1
Week 5, Day 4 1) Write an equation to solve: The length of a rectangular map is 15 inches and the perimeter is 50 inches. Find the width. 2) Write the equation for the line of best fit on the scatterplot shown. 3) Solve: 4) Simplify: x-3y2 5) Graph the equations to solve the system: y x = 1 y + 2x = 2
Friday Five 1) Write an equation to solve: In a given amount of time, Jamie drove twice as far as Rhonda. All together they drove 90 miles. Find the number of miles driven by each. 2) Write the equation for the line of best fit on the scatterplot shown. 3) The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel followed by an M ? 4) Simplify: (9 x 103) x (6 x 10-10) 5) Graph the equations to solve this system: y = 2x-4 y = -x + 5
8thGrade math Spiral Math Review Q3 - Week 6
Week 6, Day 1 1) In a deck of 52 playing cards, what is the probability of drawing a club and then a second club? 2) Which function shows the greater slope? a) 2x 3y = 9 3) Using the table shown, determine the percent of males that prefer baseball or soccer. b) 3x 3y = 12 4) What method would you use to solve the following system? Explain why. 3x y = 8 2x + y = 12 5) Solve the following system using substitution: 3x + 4y = 15 y = 9
Week 6, Day 2 1) Roman paid $150 to join a gym. He pays an additional $15 every time he uses one of the gym s handball courts. Write an equation to model his total cost and determine how much will it cost him if he plays 15 times? 2) Which function shows the greater y-intercept? a) 3x y = 1 b) 9x + 9y = 9 3) Using the table shown, determine what percent, of those surveyed, did not like Titanic or Star Wars. 4) What method would you use to solve the following system? Explain why. y = 8x + 15 y = -7x + 12 5) Solve the following system using elimination: 2x - 2y = 10 2x + 2y = 30
Week 6, Day 3 1) Felicia paid $125 to join a tennis club. She pays an additional $5 every time she uses one of the club's tennis courts. Write an equation to model total cost and determine how much Felicia will pay if she plays 36 times. 2) Which function shows a negative slope? a) x + y = 4 b) x + y = 7 3) Using the table shown, what can you determine about the effect that gender has on whether your ears are pierced? 4) What method would you use to solve the following system? Explain why. 3x + 4y = 15 x = 2y 5) Solve the following system using elimination: 2x + 3y = 20 -2x + y = 4
Week 6, Day 4 1) A stable charges a $20 flat fee plus $10 per hour for horseback riding. Write an equation to model the total cost for horseback riding and determine what the cost would be for a 5 hour horseback ride. 2) Which function has a lower initial value? a) 12x + 2y = 14 b) 15x + 5y = 25 3) Using the table, determine the percent of students who prefer milk to the other drinks. 4) What method would you use to solve the following system? Explain why. y = 3x 4 y = -7x + 10 5) Solve the following system using substitution: y = 3x + 1 4y 12x = 3
Friday Five 1) A stable charges a $20 flat fee plus $10 per hour for horseback riding. Write an equation to model the total cost for horseback riding and determine what the cost would be for a 5 hour horseback ride. 2) Which function shows the greater slope? a) 2x 3y = 9 b) 3x 3y = 12 3) Using the table shown, determine what percent, of those surveyed, did not like Titanic or Star Wars. 4) What method would you use to solve the following system? Explain why. 3x y = 8 2x + y = 12 5) Solve the following system using substitution: y = 3x + 1 4y 12x = 3
8thGrade Math Spiral Math Review Q3 - Week 7
Week 7, Day 1 1) Write an equation to represent the function shown in number 1. 2) Using the table, determine how many games would cost $575. 3) Solve the system of equations, using any method. 3x - 7y = -14 x = 2y - 3 4) How can you tell if a system of equations has no solutions? 5) Use the Pythagorean Theorem to find the missing length in the triangle shown.
Week 7, Day 2 1) Write an equation to represent the function shown in number 1. 2) Using the table, determine how long it will it take to fill the pool if the pool has 60,000 gallons. 3) Solve the system of equations, using any method. 2x + 3y = 20 -2x + y = 4 4) How can you tell if a system of equations has an infinite number of solutions? 5) Use the Pythagorean Theorem to find the missing length in the triangle shown.
Week 7, Day 3 1) Sketch a graph of the relationship: A typist can type 60 words per minute. 2) Write an equation to represent the function shown in number 1. 3) Solve the system of equations, using any method. 3x 4y = -5 -10x + 4y = 12 4) How many solutions does the system of equations below have? Explain why. y = 3x + 3 y = 3x - 7 5) Use the Pythagorean Theorem to find the missing length in the triangle shown.
Week 7, Day 4 1) Write an equation to represent the function shown in number 1. 2) Using the graph, determine how long it will take to type a document that is 10,000 words. 3) Solve the system of equations, using any method. y = 4x + 3 y = x 4) How many solutions does the system of equations below have? Explain why. 2x + 4y = 16 -2x + 7y = 6 5) Use the Pythagorean Theorem to find the height of the tree in the image shown.
Friday Five 1) Sketch a graph of the relationship: A typist can type 60 words per minute. 2) Write an equation to represent the function shown in number 1. 3) Solve the system of equations, using any method. 3x 4y = -5 -10x + 4y = 12 4) How can you tell if a system of equations has an infinite number of solutions? 5) Use the Pythagorean Theorem to find the height of the tree in the image shown.
8thGrade Math Spiral Math Review Q3 - Week 8
Week 8, Day 1 1) Simplify: (3y7)3 2) A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a dark chocolate, not replacing it, and then a caramel? 3) Convert to scientific notation: .000000001256 4) Solve the system of equations shown: 2x - y = 5 x - 3y = 0 5) Is a triangle with side lengths 4 cm, 5 cm, and 7 cm a right triangle? Why or why not?
Week 8, Day 2 1) Simplify: (2x2y7)4 2) Simplify: 3) Convert to scientific notation: 8,150,000 4) Solve the system of equations shown: 5x - y = -5 x - y = 3 5) A soccer field is 100 yards long and 50 yards wide. What is the length of the diagonal?
Week 8, Day 3 1) Simplify: (m2n2)-1 2) Simplify: 3) Convert to scientific notation: .00000235 4) Solve the system of equations shown: x - y = 3 x - y = 2 5) What is the altitude of the airplane in the diagram shown?
Week 8, Day 4 1) Simplify: (9x3)-2 2) Simplify: 3) Convert to scientific notation: .00389 4) Solve the system of equations shown: x + 3y = 7 3x + 9y = 2l 5) The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
Friday Five 1) Simplify: (3y7)3 2) Simplify: 3) Convert to scientific notation: 8,150,000 4) Solve the system of equations shown: x - y = 3 x - y = 2 5) The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
