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Algebra 2 final REVIEW – Complete at least one page per day – Due 6/10
Be ready for your Final on
MONDAY/TUESDAY (circle one)
Name:__________________________________________ Period:_______
1
Solve the equation.
3
x+5=8
7
2.
____3. Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account
when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65
that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay
back his sister and buy the bike?
a.
25 weeks
b.
19 weeks
c.
22 weeks
d.
21 weeks
____4. The perimeter of the rectangle is 24 cm. The length is 3 and the width is 3x. Find the value of x.
a.
3
b.
12
c.
d.
18
8
3
Solve the proportion.
____5.
a.
b.
____6. Simplify
a.
.
1.33
____7. Simplify
.
a.
8.
9.
144
7
Evaluate
c.
d.
b.
1.3
c.
0.845
d.
13
b.
12
49
c.
49
12
d.
12
7
for x = 3.
Find the common difference of the arithmetic sequence and the next three terms.
5, 5.3, 5.6, 5.9, . . .
Signature _______________
Graph the function.
10.
____11.
Lena makes home deliveries of groceries for a supermarket. Her only stops after she leaves the supermarket are at
traffic lights and the homes where she makes the deliveries. The graph shows her distance from the store on her first
trip for the day. What is the greatest possible number of stops she made at traffic lights?
Distance
Time
a.
3
b.
4
___ 12. A snail travels at a rate of 2.37 feet per minute.
a. Write a rule to describe the function.
b. How far will the snail travel in 6 minutes?
a.
; 14.22 ft
b.
; 14.22 ft
c.
c.
d.
9
d.
5
; 8.37 ft
; 2.53 ft
13. A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown
approximately 0.5 centimeters per day.
a. Write a rule to describe the function.
b. After how many days will the zucchini plant be 0.185 meters tall?
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
14. –5, –10, –20, –40, . . .
15.
The length of a rectangle is 2 cm more than four times the width. If the perimeter of the rectangle is 84 cm, what
are its dimensions?
Signature _______________
State whether the slope is 0 or undefined.
16.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
17. 7x – 4y = 4
x – 4y = 3
18. What is the solution to the following system of equations?
y = 3x + 3
y = –x – 3
19. What is the solution of the system of equations?
y = 3x + 7
y=x–9
a.
(–1, –10)
b.
(–17, –8)
____20.
c.
(4, 19)
d.
(–8, –17)
Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions.
y = 5x – 4
Justify why!
y = 5x – 5
a.
no solutions
b.
one solution
c.
infinitely many solutions
Solve the system of equations using substitution.
21. y = 2x + 3
y = 3x + 1
a.
(–2, –1)
b.
(–1, –2)
c.
(2, 7)
d.
(–2, –5)
Signature _______________
Solve the system of equations using substitution.
22. 3y = – x + 2
y = –x + 9
____23.
____24.
The sum of two numbers is 82. Their difference is 24. Write a system of equations that describes this situation. Solve
by elimination to find the two numbers.
Solve the system using elimination.
6x + 3y = –12
6x + 2y = –4
a.
(10, –16)
b.
(2, –8)
c.
(–2, 8)
d.
(–10, 16)
25. 5x + 8y = –29
7x – 2y = –67
____26.
At the local ballpark, the team charges $5 for each ticket and expects to make $1,400 in concessions. The team must
pay its players $2,000 and pay all other workers $1,600. Each fan gets a free bat that costs the team $3 per bat. How
many tickets must be sold to break even?
a.
440
b.
1,100
c.
2,500
d.
275
Graph the inequality.
27.
Signature _______________
Write the linear inequality shown in the graph.
____28.
y
4
2
–4
–2
O
2
4
x
–2
–4
a.
b.
c.
Solve the system of linear inequalities by graphing.
d.
29.
Simplify the expression.
30.
31.
a.
b.
c.
d.
a.
b.
c.
d.
a.
b.
c.
d.
32.
33.
____ 34.
81
____35.
Signature _______________
36.
____37.
Write the number in scientific notation.
0.0805
a.
b.
c.
d.
Write the number in standard notation.
38.
____39.
Which list shows the numbers in order from least to greatest?
a.
c.
b.
d.
Simplify the expression. Write the answer using scientific notation.
____40.
a.
b.
c.
d.
41.
42.
Suppose a population of 250 crickets doubles in size every 6 months. How many crickets will there be after 2
years?
a.
4,000 crickets
c.
2,000 crickets
b.
6,000 crickets
d.
1,000 crickets
Find the balance in the account.
43. $3,800 principal earning 2%, compounded quarterly, after 7 years
Signature _______________