Pre-Algebra Spiral Review #6 – Due Tuesday, February 17th Name _____________________ Solve and graph the inequalities. 1. 5(6 + 3𝑟) + 7 ≥ 127 2. −8𝑥 + 2𝑥 − 16 < −5𝑥 + 7𝑥 1. ______________ 2. ______________ Write and solve an inequality for the following word problems. 3. A gym charges a $30 registration fee plus $3 for each swimming lesson. If Matt does not want to spend more than $90 for his lessons, how many swimming lessons he can take and not spend more than $90? 3. ______________ ______________ 4. ______________ ______________ 4. Sam had $115 to buy Christmas for his family. He bought a $23 shirt for his sister, a $64 bracelet for his Mom, and still needs to get his Dad a CD. What is the most money he can spend on his Dad’s present? 5. ______________ 6. ______________ Write the following ratios as fractions in simplest form. Ratio Fraction 8 boys to 4 girls 5. 16 hits : 48 at bats 6. 36 miles : 2 hours 7. 12 right to 3 wrong 8. 7. ______________ 8. ______________ 9. ______________ 9. $16 in 4 hours. Find the unit rate per hour. 10. 32 hits in 96 at bats. Find the unit rate per hit. 10. _____________ 11. $1.20 for 8 oz. Find the unit rate per ounce. 12. 10 hours for $25. Find the unit rate per hour. On 13 and 14, determine whether the three sides would form a right triangle 13. 4.5, 2.8, 4.9 11. _____________ 12. _____________ 14. 63, 87, 60 13. _____________ For 15-17, find the length of the missing side using the Pythagorean Theorem. 14. _____________ 15. 16. 15. _____________ 16. _____________ 17. _____________ 18. _____________ 17. 18.
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