Math 8 ALEKS Review B
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1 Math 8 ALEKS Review B 1. Solve the system of equations. 2. Solve for v. y = 9x v 6 = 7 2 v 7 3 y = 6x The diameter, D, of a sphere is 14.8m. 4. Write an equation of the line Calculate the sphere s volume, V. (Use π = 3.14) below. 5. Use the scatter plots to answer the questions below. 6. Find the volume of a cone with a base diameter of 6 in and height of 10 in. (Use π = 3.14) 7. Kala s company makes solid balls out of scrap metal for various industrial uses. Her current task is to make a batch of aluminum balls with radius 4.5 in. If she has a. Which data set appears to show a nonlinear a total of 76,302 in 3 of aluminum, how many balls can she make? b. Which data set appears to show a positive linear (Use π = 3.14) c. Which data set appears to show a negative linear d. Which data set appears to show no
2 8. What number is equal to 9? 9. Solve for u. 4 = u Each of sixty-seven students in grades 11. Classify each number as 1 through 3 was asked, Can you swim? rational or irrational. Here are the results. 13 students in first grade, 15 students a in second grade, and 16 students in third b. 3 2 grade can swim. c students in first grade, 10 students in d. 4 second grade, and 6 students in third grade e. π cannot swim. Construct a two-way frequency table for the data. 12. A party rental company has chairs tables for rent. The total cost to rent 8 chairs and 3 tables is $38. The total cost to rent 2 chairs and 5 tables is $35. What is the cost rent each chair and table? 14. Ashley makes house calls. For each, she is paid a base amount and makes additional money for each hour she works. Use the graph to 13. A store is selling laptops for $700 each. answer the questions below. Use this information to fill in the table. Then plot the ordered pairs given by the table. a. How much does her pay increase each hour worked? (slope?)
3 15. Which pairs of figures are congruent? 16. A company makes steel rods shaped Which are similar? like cylinders. Each rod has a radius of 4 cm and a height of 20 cm. If the company used 36,172.8 cm 3 of steel, how many rods did it make? Use 3.14 for π. Round to nearst tenth. 17. Find the volume of a cone with a base radius of 3 in and a height of 10 in. Write the exact volume in terms of π. 18. Calculate. Write your answer in scientific notation. ( )( ) 19. Use substitution to solve the system. 20. Solve for v. y = 3x 5 6v 5 3 = 1 5 v 1 5 2x 5y = Three hot air balloons are rising At constant rates. For each, the distance depends on time, as shown. a. What is the rate of each balloon s rise? Balloon A Balloon B Balloon C b. Which balloon is rising faster? c. How much does each balloon rise in 2 seconds? Balloon B d = 390t d is the distance in centimeters t is the time in seconds. Balloon C Time (seconds) Distance (centimeters) Balloon A Balloon B Balloon C
4 22. Solve the following system of equations. 23. Answer the following. 5x + 6y = -5 a. A certain solution has a hydrogen ion 5x + 3y = 10 concentration of moles per liter. Write this in scientific notation. 24. The length of a shadow of a building is 9 ft. b. A fin whale can weigh us to 2.6 X 10 5 pounds. The distance from the top of the building to Write this number in standard notation. The tip of the shadow is 16 ft. Find the height Of the building. Round to the nearest tenth. 25. The table below shows the amount of rainfall And temperature at noon in each of 7 cities. Create a scatter plot for the data. 26. Below are two triangles with their side lengths shown. Answer the questi ons about each triangle.
5 27. Which pairs of figures are congruent?
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a 8 b 3 a 2 b Convert to a decimal: Convert to a decimal: Convert to a fraction in simplest form: Estimate to the nearest tenth:
1 2 Convert to a decimal: 23 999 Convert to a decimal: 8 11 CCSS 8.NS.A.1! CCSS 8.NS.A.1! 3 4 Convert to a fraction in simplest form: Estimate to the nearest tenth: 0.24 119 CCSS 8.NS.A.1! CCSS 8.NS.A.2!
Least complex Most complex
Grade 8 Mathematics Grade 8: Mathematics: The Number System (NS) MGSE8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;