M6 Ch 1-5 Practice PDF Math Practice Problems

## Practice Chapters 1-5 ### Page 1 **Name:** **Date:** 1. Write 4.4.4.4.4 as a power. - $4^5$ 2. Find the value of $6^4$. - $6^4 = 1296$ 3. Evaluate 16 - 8(20 + 8) + 42. - 16 - 8(28) + 42 = 16 - 224 + 42 = -166 4. Find the GCF of 12 and 76. - GCF(12, 76) = 4 5. Find the LCM of 6...

## Practice Chapters 1-5 ### Page 1 **Name:** **Date:** 1. Write 4.4.4.4.4 as a power. - $4^5$ 2. Find the value of $6^4$. - $6^4 = 1296$ 3. Evaluate 16 - 8(20 + 8) + 42. - 16 - 8(28) + 42 = 16 - 224 + 42 = -166 4. Find the GCF of 12 and 76. - GCF(12, 76) = 4 5. Find the LCM of 6 and 8. - LCM(6, 8) = 24 6. A mug is 3/4 full. The mug contains 2/3 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form. - Capacity = (2/3 cup) / (3/4) = 8/9 cup 7. Find 2 1/3 + 1 2/5. Write the answer in simplest form. - 2 1/3 + 1 2/5 = 7/3 + 7/5 = 35/15 + 21/15 = 56/15 = 3 11/15 8. Evaluate 28.141 + 8.337 - 14.794. Write the answer as a decimal. - 28.141 + 8.337 - 14.794 = 21.684 9. Find 5.6(6.46). Write the answer as a decimal. - 5.6(6.46) = 36.176 10. You make 12 equal payments. You pay a total of $1752. How much is each payment? - Each payment is $1752 / 12 = $146 11. Find 3896 ÷ 200. Write the answer as a mixed number in simplest form. - 3896 ÷ 200 = 19 96/200 = 19 12/25 12. Find 0.198 + 0.18. Write the answer as a decimal. - 0.198 + 0.18 = 0.378 ### Page 2 13. What is the ratio of dogs to cats in simplest form? - 5:9 14. The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $54. How much is each allowance? - Your allowance = $30 and your friend's allowance = $24. 15. A recipe uses 7 parts of sugar for every 2 parts of milk. Complete the ratio table. How much milk do you use when you use 28 cups of sugar? - You need 8 cups of milk. | Sugar (cups) | Milk (cups) | |---|---| | 7 | 2 | |14 | 4 | | 21 | 6 | | 28 | 8 | 16. Meal A has 130 calories in 2 servings. Meal B has 170 calories in 3 servings. Which meal has more calories per serving? - Meal A has more calories per serving (65 calories per serving). 17. Represent the ratio relationship using a graph. - Graph the relationship between time (in minutes) and distance (in miles). This diagram is a line graph that shows the linear relationship between the two variables. 18. There are 378 calories in 7 servings. Find the unit rate. - There are 54 calories per serving. 19. You earn $56 for washing 8 cars. How much do you earn for washing 3 cars? - You earn $21 for washing 3 cars. 20. How many yards are in 78 feet if there are 3 feet in one yard? - There are 26 yards in 78 feet. 21. Write 17/20 as a percent. - 17/20 represents 85%. 22. 85% of what number is 17? - 85% of 20 is 17. 23. Identify the terms, coefficients, and constants in the expression 10x - 19. - Terms: 10x, -19 - Coefficients: 10 - Constants: -19 24. Evaluate x² + 6 when x = 8. - x² + 6 = 8² + 6 = 64 + 6 = 70 25. Write the phrase, "5 times a number c," as an expression. - 5c 26. Simplify the expression 9 + (13 + x). - 9 + (13 + x) = 22 + x 27. Use the Distributive Property to simplify the expression 9(5x - 3). - 9(5x - 3) = 45x - 27 ### Page 3 1. Write 4.4.4.4.4 as a power. - $4^5$ 2. Find the value of 6^4. - $6^4 = 1296$ 3. Evaluate 16 - 8(20 + 8) + 42. - 16 - 8(28) + 42 = -166 4. Find the GCF of 12 and 76. - GCF(12, 76) = 4 5. Find the LCM of 6 and 8. - LCM(6, 8) = 24 6. A mug is 3/4 full. The mug contains 2/3 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form. - Capacity = (2/3 cup) / (3/4) = 8/9 cup 7. Find 2 1/3 + 1 2/5. Write the answer in simplest form. - 2 1/3 + 1 2/5 = 7/3 + 7/5 = 35/15 + 21/15 = 56/15 = 3 11/15 8. Evaluate 28.141 + 8.337 - 14.794. Write the answer as a decimal. - 28.141 + 8.337 - 14.794 = 21.684 9. Find 5.6(6.46). Write the answer as a decimal. - 5.6(6.46) = 36.176 10. You make 12 equal payments. You pay a total of $1752. How much is each payment? - Each payment is $1752 / 12 = $146 11. Find 3896 ÷ 200. Write the answer as a mixed number in simplest form. - 3896 ÷ 200 = 19 96/200 = 19 12/25 12. Find 0.198 + 0.18. Write the answer as a decimal. - 0.198 + 0.18 = 0.378 ### Page 4 13. What is the ratio of dogs to cats in simplest form? - 5:9 14. The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $54. How much is each allowance? - Your allowance = $30 and your friend's allowance = $24. 15. A recipe uses 7 parts of sugar for every 2 parts of milk. Complete the ratio table. How much milk do you use when you use 28 cups of sugar? - You need 8 cups of milk. | Sugar (cups) | Milk (cups) | |---|---| | 7 | 2 | |14 | 4 | | 21 | 6 | | 28 | 8 | 16. Meal A has 130 calories in 2 servings. Meal B has 170 calories in 3 servings. Which meal has more calories per serving? - Meal A has more calories per serving (65 calories per serving). 17. Represent the ratio relationship using a graph. - Graph the relationship between time (in minutes) and distance (in miles). This diagram is a line graph that shows the linear relationship between the two variables. 18. There are 378 calories in 7 servings. Find the unit rate. - There are 54 calories per serving. 19. You earn $56 for washing 8 cars. How much do you earn for washing 3 cars? - You earn $21 for washing 3 cars. 20. How many yards are in 78 feet if there are 3 feet in one yard? - There are 26 yards in 78 feet. 21. Write 17/20 as a percent. - 17/20 represents 85%. 22. 85% of what number is 17? - 85% of 20 is 17. 23. Identify the terms, coefficients, and constants in the expression 10x - 19. - Terms: 10x, -19 - Coefficients: 10 - Constants: -19 24. Evaluate x² + 6 when x = 8. - x² + 6 = 8² + 6 = 64 + 6 = 70 25. Write the phrase, "5 times a number c," as an expression. - 5c 26. Simplify the expression 9 + (13 + x). - 9 + (13 + x) = 22 + x 27. Use the Distributive Property to simplify the expression 9(5x - 3). - 9(5x - 3) = 45x - 27