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Name: ________________________ Class: ___________________ Date: __________
ID: R
Final Exam Review - Algebra 1, Part A
Multiple Choice
Identify the choice that best completes the statement or answers the question.
What is an algebraic expression for the word phrase?
____
____
1. 3 times the sum of b and f
a. 3b + f
b. 3 + b + f
c.
2. the quotient of 8 and the difference of x and m
x
8
a. 8 −
b.
c.
x−m
m
3(b + f )
8x + m
8−x
m
d.
3b f
d.
x−m
8
Write a function for the situation. Is the graph continuous or discrete?
____
3. A produce stand sells roasted peanuts for $ 1.90 per pound. What is the cost, C, of p pounds of peanuts?
a. C = 1.90p; continuous
c. C = 1.90 + p; discrete
b. C = 1.90 + p; continuous
d. C = 1.90p; discrete
____
4. A movie store sells DVDs for $11 each. What is the cost, C, of n DVDs?
a. C = 11n; discrete
c. C = 11 + n; continuous
b. C = 11n; continuous
d. C = 11 + n; discrete
1
Name: ________________________
____
ID: R
5. Identify the mapping diagram that represents the relation and determine whether the relation is a function.
ÏÔ
¸Ô
ÔÌÓ (−8, −6), (−5, 2), (−8, 1), (7, 3) Ô˝˛
a.
c.
The relation is not a function
The relation is a function.
d.
b.
The relation is a function.
____
The relation is not a function.
6. Which ordered pair is a solution of the equation y = −9x + 4 ?
a. (6, –41)
c. (–6, 57)
b. (–4, –58)
d. (10, –86)
Write an equation in point-slope form for the line through the given point with the given slope.
____
7. (–10, –6); m = −
a.
b.
5
8
5
y – 6 = − (x + 10)
8
5
y – 6 = − (x – 10)
8
c.
d.
2
5
y + 10 = − (x + 6)
8
5
y + 6 = − (x + 10)
8
Name: ________________________
ID: R
Find the slope of the line.
____
8.
a.
3
4
b.
4
3
4
3
c.
−
c.
d.
all real numbers
no solution
What are the solutions of the inequality?
____
9. −2 (3x + 2) ≥ −6x − 4
a. x ≥ 0
b. x ≤ 6
3
d.
–
3
4
Name: ________________________
ID: R
____ 10. Giselle pays $240 in advance on her account at the athletic club. Each time she uses the club, $ 15 is deducted
from the account. Model the situation with a linear function and a graph.
c.
a.
b = 225 + 15x
b = 225 – 15x
d.
b.
b = 240 – 15x
b = 240 + 15x
4
Name: ________________________
ID: R
Describe a pattern in each sequence. What are the next two terms of each sequence?
____ 11. –5, 5, –5, 5, . . .
a. multiply the previous term by 1; 5, 5
b. multiply the previous term by –1; –5, 5
c. subtract 10 from the previous term; –5, 5
d. add 10 to the previous term; –5, –15
____ 12. 24, 22, 20, 18, . . .
a. subtract 2 from the previous term; 16, 14
b. multiply the previous term by –2; 16, 72
c. add 2 to the previous term; 20, 22
d. multiply the previous term by –2; –36, 72
____ 13.
x
1
2
3
4
5
y
13
16.9
21.97
28.56
37.13
Graph the function shown by the table. Is the function linear or nonlinear?
a. nonlinear
b. linear
5
Name: ________________________
ID: R
What is the graph of the function rule?
____ 14. y = 3x − 2
a.
b.
c.
d.
____ 15. A boat builder wants to make a model of a schooner, a type of sailboat with at least two masts. The schooner
is 34 meters in length and has a beam of 8 meters (the measure of the widest point of a ship). If the builder
wants her model to be 1.2 meters in length, what would be the length of the beam of the model?
a. 0.70 meters
c. 5.10 meters
b. 3.54 meters
d. 0.28 meters
6
Name: ________________________
ID: R
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change
means for the situation.
____ 16. The table shows the number of miles driven over time.
a.
b.
c.
d.
Time (hours)
Distance (miles)
4
204
6
306
8
408
10
510
51
; Your car travels 51 miles every 1 hour.
1
204; Your car travels 204 miles.
1
; Your car travels 51 miles every 1 hour.
51
10; Your car travels for 10 hours.
7
Name: ________________________
ID: R
What is the solution of the system? Use a graph.
____ 17. y = x + 5
y = –5x – 1
a.
c.
b.
d.
8
Name: ________________________
ID: R
____ 18. 5x + 4y = 9
4x + 4y = 8
a.
c.
b.
d.
9
Name: ________________________
ID: R
Write the slope-intercept form of the equation for the line.
____ 19.
a.
b.
8
y= x−
5
5
y= x+
8
1
2
1
2
c.
d.
5
1
y=− x+
8
2
8
1
y= x+
5
2
The table shows the relationship between the number of sports teams a person belongs to and the
amount of free time the person has per week.
Number of Sports
Teams
0
1
2
3
Free Time
(hours)
46
39
32
25
____ 20. Is the above relationship a linear function?
a.
yes
b.
10
no
Name: ________________________
ID: R
What is the slope of the line?
____ 21.
a.
0
b.
undefined
What is the slope of the line that passes through the pair of points?
____ 22. (1, 7), (10, 1)
3
a. −
2
b.
3
2
c.
2
3
Solve the compound inequality. Graph the solution.
____ 23. −10 ≤ 2x − 4 < 6
a. −8 ≤ x < 0
b.
−3 ≤ x < 5
c.
−3 ≤ x < 1
d.
−1 ≤ x < 7
11
d.
−
2
3
Name: ________________________
ID: R
____ 24. 9x – 5 < –41 or 3x + 13 > 7
a.
x < –4 or x > –2
c.
1
x < −5 or x > –2
9
b.
1
2
x < −5 or x > 6
9
3
d.
x < –4 or x > 6
2
3
Write the equation of a line that is perpendicular to the given line and that passes through the given
point.
3
7
x − ; (–4, 2)
8
2
8
3
a. y = x −
7
2
8
3
b. y = − x −
7
2
____ 25. y =
c.
d.
8
18
y= x−
7
7
8
18
y=− x−
7
7
Solve the inequality. Graph the solution.
____ 26. | 2x + 7 | > 23
a.
x < −15 or x > 8
c.
x < −30 or x > 16
b.
x > −15 or x < 8
d.
x < −8 or x > 8
12
Name: ________________________
ID: R
____ 27. | 2x + 5 | ≤ 15
a.
–10 ≤ x ≤ 5
c.
x ≤ − 5 or x ≥ 5
b.
–10 ≥ x ≥ 5
d.
–20 ≤ x ≤ 10
1
____ 28. Write y = x + 5 in standard form using integers.
6
a. –x + 6y = 30
c.
b. –x – 6y = 30
d.
–x + 6y = 5
6x – y = 30
Evaluate the expression for the given value of the variable(s).
____ 29. 5a + 5b ; a = −6, b = −5
a.
–55
b.
–5
c.
5
d.
55
b.
–1
c.
11
d.
3
____ 30. −x 2 − 4x − 4; x = –3
a.
–17
13
Name: ________________________
ID: R
What is the graph of each function rule?
____ 31. y = |3x| − 1
a.
c.
b.
d.
14
Name: ________________________
ID: R
____ 32. y = 2x 2 − 2
a.
c.
b.
d.
15
Name: ________________________
ID: R
Graph the equation.
____ 33. y = –2x – 3
a.
b.
c.
d.
Name the property of real numbers illustrated by the equation.
____ 34. −4(x + 3) = −4x − 12
a.
b.
c.
d.
Associative Property of Addition
Distributive Property
Associative Property of Multiplication
Commutative Property of Addition
16
Name: ________________________
ID: R
Match the equation with its graph.
____ 35. –4x – 2y = 8
a.
b.
c.
d.
17
Name: ________________________
ID: R
What is the graph of the equation?
____ 36. x = 1
a.
b.
c.
d.
____ 37. The ordered pairs (1, 6), (2, 36), (3, 216), (4, 1296), and (5, 7776) represent a function. What is a rule that
represents this function?
a. y = x 6
c. y = 6x
b.
y = 6x
d.
18
y = (x + 6) 2
Name: ________________________
____ 38. What is the order of
a.
b.
–
5
, –0.1, 0.7,
3
5,
ID: R
5
5 , –0.1, – , 0.7,
3
2,
2 from least to greatest?
5
2, – ,
3
5
c.
0.7,
5
2 , 0.7, – , –0.1
3
d.
–0.1, 0.7,
2,
5 , –0.1
5, –
5
3
Write an equation for the line that is parallel to the given line and passes through the given point.
____ 39. y = 5x + 8; (2, 16)
a.
y = 5x + 6
c.
b.
y = 5x − 78
d.
1
y= x+6
5
1
y=− x–6
5
What type of relationship does the scatter plot show?
____ 40.
a.
b.
c.
positive correlation
negative correlation
no correlation
19
Name: ________________________
ID: R
What equation in slope intercept form represents the line that passes through the two points?
____ 41. (2, 5), (9, 2)
41
3
a. y = x −
7
7
7
41
b. y = − x −
3
7
c.
d.
20
41
7
y= x+
7
3
3
41
y=− x+
7
7
Name: ________________________
ID: R
____ 42. You have 8 cups of flour. It takes 1 cup of flour to make 24 cookies. The function c(f) = 24f represents the
number of cookies, c, that can be made with f cups of flour. What domain and range are reasonable for the
function? What is the graph of the function?
a.
The domain is 0 ≤ c(f) ≤ 192.
The range is 0 ≤ f ≤ 8.
c.
The domain is 24 ≤ c(f) ≤ 192.
The range is 1 ≤ f ≤ 8.
b.
The domain is 1 ≤ f ≤ 8.
The range is 24 ≤ c(f) ≤ 192.
d.
The domain is 0 ≤ f ≤ 8.
The range is 0 ≤ c(f) ≤ 192.
21
Name: ________________________
ID: R
Graph the equation.
____ 43. y – 4 = −5(x + 1)
a.
b.
c.
d.
22
Name: ________________________
ID: R
In the diagram below, what is the relationship between the number of triangles and the perimeter of
the figure they form?
____ 44. Which of the following represents the above relationship?
a.
b.
c.
d.
The perimeter, P, is equal to the length of the base of one triangle multiplied by the
number of triangles in the figure, n, plus two times the length of another side. The
equation for the perimeter is P = 5n + 14 .
The perimeter, P, is equal to the length of the base of one triangle multiplied by the
number of triangles in the figure, n, plus the length of another side. The equation for the
perimeter is P = 5n + 7.
The perimeter, P, is equal to the length of a side of one triangle multiplied by the
number of triangles in the figure, n, plus two times the length of the base. The equation
for the perimeter is P = 7n + 10 .
The perimeter, P, is equal to the length of a side of one triangle multiplied by the
number of triangles in the figure, n, plus the length of the base. The equation for the
perimeter is P = 7n + 5.
Solve the equation or formula for the indicated variable.
____ 45. S = 5r 2 t , for t
a.
t =
S
−r
5
b.
t = r 2 − 5S
c.
23
t =
25r
S
d.
t =
S
5r 2
Name: ________________________
____ 46. What is the order of
a.
b.
9
,
2
1.6,
9
1
, 0.5, , 1.6,
6
2
ID: R
4 from least to greatest?
1
4 , 1.6, , 0.5
6
1
4, ,
6
9
, 0.5
2
c.
1
, 0.5, 1.6,
6
d.
0.5, 1.6,
4,
4,
9
2
9 1
,
2 6
Short Answer
Use the vertical line test to determine whether the relation is a function.
47.
ÏÔ
¸Ô
48. ÌÔ (0, −1), (−5, 1), (−3, −3), (−5, −5) ˝Ô
Ó
˛
49. Identify the domain and range of the relation.
ÔÏ
Ô¸
ÌÔ (−4, 2), (−9, −5), (−4, 12), (8, −8) ˝Ô
Ó
˛
24
ID: R
Final Exam Review - Algebra 1, Part A
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
C
B
A
A
D
D
D
A
C
D
B
A
A
D
D
A
B
B
B
A
B
D
B
A
D
A
A
A
A
B
A
C
D
B
B
D
B
A
A
1
ID: R
40.
41.
42.
43.
44.
45.
46.
B
D
D
C
A
D
C
SHORT ANSWER
47. The relation is a function.
48. The relation is not a function.
49. The domain is {–9, –4, 8}.
The range is {–8, –5, 2, 12}.
2