Pre-Algebra Spiral #6 - Due Tuesday, February 17

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.