study guide Essay

Algebra 1 Final Exam Review 2012
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Solve the equation.
1.

3 x+5=8 7
a. 7

b.

1

2
7

c. 7

d.

7

2
3

2. 11 = –d + 15
a. 11
b. –4
c. 4
d. 6
3. 37 – 18 + 8w = 67
a. –6
b. 4
c. 7
d. 6
4. 3(y + 6) = 30
a. 5
b. 16
c. 4
d. –16
5. 4.9x + 4.4 = 19.1
a. 4
b. 3
c. 4.8
d. 7.2
6. 5x – 5 = 3x – 9
a. –2
b. 1
c. –1
d. –3
7. 8d – 4d – 6d – 8 = 2d
a. 0
b. 1
c. 2
d. –4
8. You are driving to visit a friend in another state who lives 440 miles away. You are driving 55 miles per hour and have already driven 275 miles. Write and solve an equation to find how much longer in hours you must drive to reach your destination.
a.
;
c.
;
b.
;
d.
;
9. Find the value of y.
a. 18
b. 1.8
c. –9
d. 9
10. A 16-oz bottle of water costs $1.44. What is the cost per ounce?
a. $0.09/oz
b. $0.18/oz
c. $0.90/oz
d. $1.78/oz
11. A car is driving at a speed of 60 mi/h. What is the speed of the car in feet per minute?
a. 5,280 ft/min
c. 316,800 ft/min
b. 3,600 ft/min
d. 2,580 ft/min
Solve the proportion.
12.
a. 55

b. 2.2

c. 110

d. 1.8

a.

b.

c.

d. 18

13.

9
2

5
2

21
2

14.
a. 32

b. 40

c. 64

d. 72

a.

b.

c.

d.

15.

16. A van travels 220 miles on 10 gallons of gas. Write and solve a function to find how many gallons the van needs to travel 550 miles.
a. 31 gallons of gas
c. 115 gallons of gas
b. 121 gallons of gas
d. 25 gallons of gas
17. Simplify
a.

.
b.

144
7

c.

12
49

d.

49
12

12
7

Which number is a solution of the inequality?
18. b > 11.3
a. 15
19. x(7 – x) > 8
a. 2

b. 9

c. –14

d. 4

b. 8

c. –1

d. 0

Write the inequality in words.
20. 3n < 52
a. fifty-two less than three times n
b. Three times n is less than fifty-two.
c. Three times n is less than or equal to fifty-two.
d. Three times n is greater than fifty-two.
21. 5n – 10 > 26
a. Five times n less than ten is twenty-six.
b. Ten plus five times a number is less than or equal to twenty-six.
c. Ten less than five times a number is greater than twenty-six.
d. Ten less than a number is less than or equal to twenty-six.
Graph the inequality.
22. d < 2
a.

c.
–5

–4

–3

–2

–1

0

1

2

3

4

5

–5

–4

–3

–2

–1

0

1

2

3

4

5

–10 –8

–6

–4

–2

0

2

4

6

8

10

b.

–5

–4

–3

–2

–1

0

1

2

3

4

5

–5

–4

–3

–2

–1

0

1

2

3

4

5

d.

23.
a.

b.
–10 –8

–6

–4

–2

0

2

4

6

8

10

–10 –8

–6

–4

–2

0

2

4

6

8

10

–10 –8

–6

–4

–2

0

2

4

6

8

10

c.
d.
24. y a.

y

c.

4

2

–4

–2

4

2

O

2

4

x

–4

–2

O

–2

y

4

x

4

2

2

O

2

4

x

–4

–2

O

–2

–2

–4

25.

2

y

d.

4

–2

x

–4

b.

–4

4

–2

–4

2

–4

y

a.

y

c.

4

2

–4

4

2

O

–2

2

x

4

–4

O

–2

–2

y

2

4

x

y

d.

4

4

2

2

O

–2

x

–4

b.

–4

4

–2

–4

2

2

x

4

–4

O

–2

–2

–2

–4

–4

Write an inequality for the graph.
26.

–10 –8

–6

–4

–2

0

2

4

6

8

10

b. x < –8

a.

c. x > –8

d. x < 8

c. t < 44

d.

c. n > 21

d. n < 21

Write an inequality to model the situation.
27. Thomas earned $44 or more.
a. t > 44
b.
28. A number exceeds 21.
a.
b.

Solve the inequality. Then graph your solution.
29. –2w < –18
a. w > 9
–8

c. w < 9
–6

b. w < –16

–4

–2

0

2

4

6

8

–8

–6

d. w > –16

–4

–2

0

2

4

6

8

–16

–12

–8

–4

0

4

8

12

–16

16

–12

–8

–4

0

4

8

12

16

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