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Algebra 1: Real Numbers and Algebraic Expressions Topic B1: Real Numbers | VERSION A Name: ___________________________________________ 1. 0 −10 2. 10 6. 11 − 7 = 7. 19 − 10 − 9 − 2 = 8. 20 − 14 − 5 7 − 6 = 9. 9 − 5 − 6 − 5 = Label the number line with the following coordinate: −0.9. 0 −10 3. Simplify the expressions: Label the number line with the following coordinate: −5. 10 Label the number line with the following ! coordinate: . ! 0 −10 4. Write the following fraction as an equivalent fraction with denominator 24. 5. 10 ! ? = !" ! 10. 9 − 21 − 3 8 − 2 = Write the following fraction as an equivalent fraction with denominator 60. ! ! = ? !" www.varsitylearning.com 1 Algebra 1: Real Numbers and Algebraic Expressions Topic B1: Real Numbers | VERSION A Name: ___________________________________________ 11. For the number 10, give the following: a. The opposite of 10 = Write an equivalent algebraic equation for the sentence below. b. The reciprocal of 10 = c. The absolute value of 10 = ! 12. For the number − , give the following in 17. The sum of 𝑥 and 11 is 12. 18. The difference of 𝑥 and 8 is 9. ! fraction form: ! a. The opposite of − = ! ! b. The reciprocal of − = ! ! c. The absolute value of − = ! 19. The quotient of 𝑥 and 2 is equal to the sum of 𝑥 and 5. Place one of the symbols < or > in the space between each number to make the resulting statement true. 13. −2 −2 20. The quotient of 𝑥 and 4 is equal to the difference of 𝑥 and 3. 14. − !! 15. − !" 16. 8 ! ! − !" − !" − −8 ! !" www.varsitylearning.com 2 Algebra 1: Real Numbers and Algebraic Expressions Topic B1: Real Numbers | VERSION A Name: ___________________________________________ 1. Simplify the expressions: Label the number line with the following coordinate: −5. 6. 11 − 7 = 4 7. 19 − 10 − 9 − 2 = 2 8. 20 − 14 − 5 7 − 6 = 11 9. 9 − 5 − 6 − 5 = 3 −5 0 −10 2. 10 Label the number line with the following coordinate: −0.9. −0.9 0 −10 3. 10 Label the number line with the following ! coordinate: . ! 9 0 −10 4. 10 Write the following fraction as an equivalent fraction with denominator 24. ! ! ! !" = 10. 9 − 21 − 3 8 − 2 = 6 5. Write the following fraction as an equivalent fraction with denominator 60. ! ! = !" !" www.varsitylearning.com 3 Algebra 1: Real Numbers and Algebraic Expressions Topic B1: Real Numbers | VERSION A Name: ___________________________________________ 11. For the number 10, give the following: a. The opposite of 10 = −10 b. The reciprocal of 10 = ! !" Write an equivalent algebraic equation for the sentence below. 17. The sum of 𝑥 and 11 is 12. 𝑥 + 11 = 12 c. The absolute value of 10 = 10 18. The difference of 𝑥 and 8 is 9. x – 8 = 9 ! 12. For the number − , give the following in ! fraction form: ! ! a. The opposite of − = ! ! ! 7 4 b. The reciprocal of − = − ! ! ! ! ! c. The absolute value of − = 19. The quotient of 𝑥 and 2 is equal to the sum of 𝑥 ! and 5. = 𝑥 + 5 ! Place one of the symbols < or > in the space between each number to make the resulting statement true. 13. −2 < −2 20. The quotient of 𝑥 and 4 is equal to the difference ! of 𝑥 and 3. = 𝑥 − 3 ! 14. − !! 15. − !" 16. 8 ! ! < − !" < − !" ! !" > − −8 www.varsitylearning.com 4