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Algebra 2: Real Numbers and Algebraic Expressions Topic A1: The Real Numbers | VERSION A Name: ___________________________________________ 1. Label the number line with the following coordinate: −1.2. 6. ! For the number , give the following: ! 5 7 a. The opposite of = ! b. The reciprocal of = ! 0 −10 10 ! 7. 2. ! c. The absolute value of = Label the number line with the following For the number − !" !" , give the following in fraction form: 12 coordinate: − . 5 a. The opposite of − !" = !" !" b. The reciprocal of − !" = c. The absolute value of − 0 −10 10 !" !" = Find the absolute value. 3. Label the number line with the following 8. − 7 = 9. − − = ! coordinate: . ! 0 −10 4. 10 Write the following fraction as an equivalent fraction with denominator 60. ! ? !" 3 4 Use the inequality symbols > for "greater than" or < for "less than" to compare the following. 10. −7 = !" 3 5 11. − 5. −2 − 12 5 Write the following fraction as an equivalent fraction with denominator 60. ! ! = ? !" www.varsitylearning.com 1 Algebra 2: Real Numbers and Algebraic Expressions Topic A1: The Real Numbers | VERSION A Name: ___________________________________________ Use the order of operations to simplify the following expressions: 18. Find the area and perimeter of a square with sides that are 3 in. long. 12. 16 − 15 = 13. 6 − 8 – 7 − 2 = 19. Find the area and perimeter of a rectangle with ⋅ width 2.5 cm and height 1.5 cm. 14. 14 − 14 − 2 4 3 − 8 − 5 = 15. Write 90 as the product of its prime factors. Reduce the fractions to lowest terms. 16. 17. !"# !"# !"# !"# 20. A football team gains 8 yards on one play and then loses 13 yards on the next play. = = a. To what number on the number line does a loss of 13 yards correspond? b. The total yards gained or lost on the two plays corresponds to what number? www.varsitylearning.com 2 Algebra 2: Real Numbers and Algebraic Expressions Topic A1: The Real Numbers | VERSION A Name: ___________________________________________ 1. Label the number line with the following coordinate: −1.2. 6. ! For the number , give the following: ! 5 7 5 7 a. The opposite of = − ]1.2 0 −10 2. 10 7. 12 coordinate: − . 5 ! ! ! ! ! For the number − !" !" , give the following in fraction form: a. The opposite of − 0 10 !" = !" !" !" !" 19 b. The reciprocal of − = − 16 !" !" !" 12 3. ! ! c. The absolute value of = Label the number line with the following −10 ! b. The reciprocal of = c. The absolute value of − Label the number line with the following !" = !" Find the absolute value. ! coordinate: . ! 8. − 7 = 7 9. − − = − 9 0 −10 4. 10 Write the following fraction as an equivalent fraction with denominator 60. ! !" = ! !" 3 4 3 4 Use the inequality symbols > for "greater than" or < for "less than" to compare the following. 10. −7 < −2 5. Write the following fraction as an equivalent fraction with denominator 60. ! ! = !" !" 3 5 11. − > − 12 5 www.varsitylearning.com 3 Algebra 2: Real Numbers and Algebraic Expressions Name: ___________________________________________ Topic A1: The Real Numbers | VERSION A Use the order of operations to simplify the following expressions: 18. Find the area and perimeter of a square with sides that are 3 in. long. Perimeter: 12 in. Area: 9 in2 12. 16 − 15 = 1 13. 6 − 8 – 7 − 2 = -‐3 19. Find the area and perimeter of a rectangle with ⋅ 14. 14 − 14 − 2 4 3 − 8 − 5 = 3 width 2.5 cm and height 1.5 cm. Perimeter: 8 cm. Area: 3.75 cm2 15. Write 90 as the product of its prime factors. ⋅ ⋅ 2 32 5 20. A football team gains 8 yards on one play and then Reduce the fractions to lowest terms. 16. 17. !"# !"# !"# !"# loses 13 yards on the next play. ! = ! = ! ! c. To what number on the number line does a loss of 13 yards correspond? -‐13 d. The total yards gained or lost on the two plays corresponds to what number? -‐5 www.varsitylearning.com 4