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Algebra 2
Name ________________
Unit 1 Review
Calculator on the whole review.
Pd. _______
Solve each equation algebraically for the missing variable.
1. -5x + 12 = 25
2. -2y – 6 = 4 + 5y
4. ½ x + 6 = -4
5. 3(2x – 4) = 5x + x
3.
-3x + 2 = 3
6. 2 – 4 = 3(x+2) – 2x
Write an equation and solve. Use correct units on your answers!
7. The bill to repair your air-conditioner was $417.77. The parts cost $155.27 and the repairman charged
$75.00 per hour in labor costs. How many hours did the repairman take to fix your air-conditioner.
8. A taxi charges a $1.75 flat rate in addition to $0.65 per mile. Kate has no more than $10 to spend on a taxi
ride. How many miles can she travel?
9. Your local cable company charges $29.99 per month for basic cable. Premium channels are available for a
surcharge of $5.95 each. Your budget for cable is $100. How many premium channels can you order?
Solve each inequality. Graph solutions on the number lines provided!!
10.
- 2a 15  6
Soln: __________________________
12.
2(4 y  5)  14
Soln: _________________________
11.
10  5w  20
Soln: ___________________________
13.
2(4 z  7)  3(5 z  4)
Soln: _________________________
14. Given the following solution in Inequality notation, graph the solution on the number line and then
convert it to Interval Notation
Solution: -4 < x ≤ 5
Interval Notation: ____________________________________
15. Given the following solution graphed on the number line, write the solution in both Inequality
notation and Interval Notation (IN)
Inequality Notation: _________________________________
Interval Notation: ____________________________________
Solve the following variation problems. Use correct units on answers.
16. Bob's dentist determined the number of cavities developed in his patient's mouth each year is
inversely proportional to the total number of minutes spent brushing during each session. If Bob
developed four cavities during the year he spent only 30 seconds brushing his teeth each time, how
many annual cavities will Bob develop if he increases his brushing time to two minutes per session?
17. The number of pages a student can read varies directly with the amount of time spend reading.
The student can read 90 pages in 60 minutes. Write an equation using the constant of variation to
model this situation. Predict the number of pages the student can read if 90 minutes are spent
reading.
18. Given the following relation below, determine the domain and range. Also determine if it is a
function or not.
{(1,2), (1,5), (6,2), (-8,1)}
Domain: ____________________________________
Range: _____________________________________
Function: Yes / No (Circle One)
If it is not a function what change could be made to make it be a function.
State the domain and range of each relation in both Inequality notation (INQ)and interval
notation(INT). Then circle whether the relation is a function or not.
19.
Domain (INQ): ___________________________
Domain (INT): ___________________________
Range (INQ): _____________________________
Range (INT): _____________________________
Function: Yes / No
20.
Domain (INQ): ___________________________
Domain (INT): ___________________________
Range (INQ): _____________________________
Range (INT): _____________________________
Function: Yes / No
21. Know the definitions of the following
Continuous Function , Brackets [ ], Domain, Range, Open Circle , Closed Circle, Function
Interval Notation, Discrete Function, Vertical line test, Inequality notation, Relations
22. List the four ways we used to represent a relation. Which method do you feel is the best way to determine
if a relation is a function? Why?
Sketch the graph of each line. State the slope and the y-intercept
23.
x = -2
24.
y=5
25. 3x + 3y = -6
m = _________
m = _________
m = ________
b = __________
b = __________
b = ________