Algebra 1 Spring Final Study Guide

9. Subtract and simplify. Find the excluded values.
a.
b.
c.
d.
;
; and
; , and
; and
10. Ting can mow a lawn in 4 hours. Her boss, Renald,
can mow the same lawn in 3 hours. How long will
it take them to mow the lawn if they work together
a. hours
b. hours
c. 1 hour
d. hours
11. A chemist has 600 milliliters of a solution that is
half acid. She needs a solution that is 70% acid.
How many milliliters of acid she should add
a. 300 mL
b. 400 mL
c. 500 mL
d. 600 mL
12. A bullet train travels 30 miles per hour faster than a
passenger train, and it takes the bullet train 3 hours
less time to travel 400 miles. How long does it
takes the passenger train to make the trip.
a. 4 hours
b. 6 hours
c. 8 hours
d. 10 hours
13. Solve .
a. a = –29
b. a = 29
c. a = 15
d. a = –15
14. Solve .
a.
b.
c.
d.
15. Solve . Check your answer.
a. x = 6
b. x = 8
c. x = 5
d. x = 7
16. Solve .
a.
b.
c.
d.
17. Solve .
a. = 4
b. = –11
c. = –1
d. = 5
18. Solve the proportion .
a. x = 36
b. x = 26
c. x = 0.03
d. x = 25
19.Solve the inequality
a. p ≤ –8
–10
–8
b. p ≥ –8
–10
c. p ≤ 8
–10
d. p ≥ 8
–10
–8
–8
–8
–6
–6
–6
–6
–4
–4
–4
–4
–2
–2
–2
–2
≥ 4 and graph the solutions.
0 2 4 6 8 10
0 2 4 6 8 10
0 2 4 6 8 10
0 2 4 6 8 10
20. Mrs. Williams is deciding between two field trips
for her class. The Science Center charges $135 plus
$3 per student. The Dino Discovery Museum
simply charges $6 per student. For how many
students will the Science Center charge less than
the Dino Discovery Museum
a. 132 or more students
b. 132 or fewer students
c. More than 45 students
d. Fewer than 45 students