Name: ________________________ Class: ___________________ Date: __________
ID: A
Algebra I SLO Final Exam
What is an algebraic expression for the word phrase?
5. Simplify the expression 7mn + 7mn − 8mn. What is
the coefficient of the simplified expression?
1. 4 times the difference of c and r
2. A square field has an area of 478 ft2. What is the
approximate length of a side of the field? Give your
answer to the nearest foot.
6. Angela and Neil are going to the movies. They
each bought a medium popcorn, and Neil got a
small soft drink. Angela had a $5 gift certificate to
put toward the cost, and Neil paid the rest, which
came to $29.70. A movie ticket costs $10.50 and a
medium popcorn costs $5.50. How much does a
small soft drink cost at the theater?
3. You made two deposits to your bank account this
month. One deposit was $13.28, and the second
deposit was $16.18. Your balance at the end of the
month is $72.31, and you made no withdrawals.
Write and evaluate an expression for your balance
at the beginning of the month.
7. What equation do you get when you solve
d − s = d + bx for x?
4. A souvenir maker wants to create a scale model of
the Empire State Building. The Empire State
Building is 1472 feet tall and has a base with
dimensions 286 ft by 286 ft. If the model is 7 in.
tall, approximately what are the dimensions of its
base in inches?
8. On a certain day 1 US dollar is equivalent in value
to 90 Japanese yen. Lucy is going on a trip to
Japan. She has $600 to spend. How many yen is
this?
1
Name: ________________________
ID: A
11. Suppose you had d dollars in your bank account.
You spent $6 but have at least $64 left. How much
money did you have initially? Write and solve an
inequality that represents this situation.
What is the solution of the proportion?
9.
x−3 9
=
6
3
What are the solutions of the inequality?
10. What is the total cost of a $38.65 meal at a
restaurant after including a 13% tip?
12.
1
2
– x–8<
4
3
What are the solutions of the compound inequality? Graph the solutions.
13. –18 < 5x – 8 < 17
2
Name: ________________________
ID: A
14. Starting from 1.7 miles away, a car drives towards a speed check point and then passes it. The car travels at a
constant rate of 50 miles per hour. The distance of the car from the check point is given by d = |1.7 − 50t|. At
what times is the car 0.5 miles from the check point?
What are the solutions of the inequality? Graph the solution.
15.
| d − 2| ≥ 1
16. The ordered pairs (1, 9), (2, 16), (3, 25), (4, 36),
and (5, 49) represent a function. What is a rule that
represents this function?
17. Crystal earns $5.75 per hour mowing lawns.
• Write a rule to describe how the amount of money
m earned is a function of the number of hours h
spent mowing lawns.
• How much does Crystal earn if she works 3 hours
and 15 minutes?
3
Name: ________________________
ID: A
In the diagram below, what is the relationship between the number of triangles and the perimeter of the
figure they form?
18. Represent the above relationship by filling in the
table below.
Number of
Triangles
Perimeter
1
2
3
4
Name: ________________________
ID: A
19. During a clothing store’s Bargain Days, the regular
price for T-shirts is discounted by $3. There is a
state sales tax of 5%, and the $3 discount is applied
before the sales tax is calculated.
a. Write an expression that shows the regular
price r of a T-shirt minus the $3 discount.
20. Suppose y varies directly with x, and y = 20 when
x = 4. What direct variation equation relates x and
y? What is the value of y when x = 2?
Write an equation in slope intercept form that
represents the line that passes through the two
points.
b. Write a rule for the function p(r) that expresses
the final price p of a T-shirt with the discount
applied and sales tax added.
21. (4, 6), (9, –1)
c. How much would you pay during Bargain Days
for a shirt regularly priced at $15.00?
Write an equation in point-slope form for the line through the given point with the given slope.
22. (3, –10); m =
5
4
5
Name: ________________________
ID: A
Graph the equation.
5
23. y – 3 = − (x + 3)
4
Find the x- and y-intercept of the line.
24.
1
7
x− y=5
3
10
Write an equation for the line that is parallel to the given line and passes through the given point.
3
25. y = x – 6; (4, –7)
2
3
29
a. y = x +
2
2
2
b. y = x – 13
3
c.
d.
2
y = − x + 13
3
3
y = x – 13
2
6
Name: ________________________
ID: A
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
26. y = 5x − 21; (–5, 4)
1
a. y = − x − 21
5
1
b. y = x + 3
5
c.
d.
1
y = x − 21
5
1
y=− x+3
5
What is the solution of the system?
27. y = –x – 2
y + 2 = –x
What is the solution of the system?
28. 4x − 2y = 2
4x − y = 5
7
Name: ________________________
ID: A
29. Mike and Kim invest $9,000 in equipment to print
yearbooks for schools. Each yearbook costs $5 to
print and sells for $25. How many yearbooks must
they sell before their business breaks even?
a. 450 yearbooks
b. 1800 yearbooks
c. 360 yearbooks
d. 225 yearbooks
Graph the inequality.
30. y > −2x + 5
8
Name: ________________________
ID: A
Which inequality represents the graph?
31.
a.
y ≤ −2x − 3
b.
y ≥ −2x − 3
c.
y ≥ −2x + 3
d.
y ≤ −2x + 3
What is the graph of the function?
32. y =
33. A biologist studied the populations of white-sided
jackrabbits and black-tailed jackrabbits over a
5-year period. The biologist modeled the
populations, in thousands, with the following
polynomials where x is time, in years.
2 x
⋅5
5
White-sided jackrabbits: −1.7x 2 + 8.3x + 9.8
Black-tailed jackrabbits: 1.2x 2 + 6.2x + 6.1
What polynomial models the total number of
white-sided and black-tailed jackrabbits?
a.
b.
c.
d.
9
−0.5x 2 − 14.5x − 15.9
−0.5x 2 − 14.5x + 15.9
−0.5x 2 + 14.5x + 15.9
0.5x 2 + 14.5x − 15.9
Name: ________________________
ID: A
Simplify the difference.
34. (6w2 – 6w – 7) – (8w2 + 2w – 3)
a. 14w2 + 8w + 4
b. –2w2 – 4w – 10
c. 14w2 – 4w – 10
d. –2w2 – 8w – 4
What is the factored form of the expression?
38. s2 – 1
a. (s – 1)(s – 1)
b. (s – 1)(s + 1)
c. (s + 1)(s + 1)
d. (s – 1)(s + 3)
What is a simpler form of the expression?
What is the factored form of the expression?
35. (2n2 + 4n + 4)(4n – 5)
a.
b.
c.
d.
8n3 – 6n2 + 36n – 20
8n3 + 4n2 – 6n – 20
8n3 + 6n2 – 4n – 20
8n3 + 26n2 – 36n – 20
39. 20g3 + 15g2 – 24g – 18
a. (5g2 – 3)(4g + 6)
b. (5g2 + 3)(4g – 6)
c. (5g2 + 6)(4g – 3)
d. (5g2 – 6)(4g + 3)
What is the factored form of the expression?
40. Suppose the population of a town is 6,300 and is
growing 4% each year. Predict the population after
6 years.
36. 3x2 + 2x – 8
a. (3x – 4)(x – 2)
b. (3x – 4)(x + 2)
c. (3x + 4)(x + 2)
d. (3x + 4)(x – 2)
37. A carpenter is putting a skylight in a roof. If the
roof measures 4x + 4 by 9x + 4 and the skylight
measures 2x + 2 by 5x + 7, what is the area of the
remaining roof after the skylight is built. Put your
answer in factored form.
a. 2(x + 1)2
b. 2(x + 1)2
c. 2(x + 1)(13x + 1)
d. 2(x – 1)(13x – 1)
.
a.
b.
c.
d.
about 7,972 people
about 25,804,800 people
about 151,200 people
about 39312 people
41. Elaine has a business repairing home computers.
She charges a base fee of $40 for each visit and $35
per hour for her labor. The total cost C for a home
visit and x hours of labor is modeled by the
function rule C = 35x + 40. Use the function rule
to make a table of values and a graph.
x
10
C
Name: ________________________
ID: A
0
1
2
3
42. The figures show the relationship between the number of tiles and the total number of red triangles. If n tiles have
k red triangles, write an expression to represent the number of red triangles for n + 1 tiles.
11
ID: A
Algebra I SLO Final Exam
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
4(c − r)
22
$72.31 – $13.28 – $16.18; $42.85
1.4 in. by 1.4 in.
6
$2.70
s
x=−
b
54000 yen
21
$43.67
d − 6 ≥ 64; d ≥ 70
2
x > −34
3
–2 < x < 5
14. 86.4 s and 158.4 s
15. d ≤ 1 or d ≥ 3
16. y = (x + 2) 2
17. m(h) = 5.75h; $18.69
18.
Number of
Perimeter
Triangles
1
18
2
22
3
26
19.
[4]
a. r – 3
b. p(r) = 1.05(r − 3) OR p(r) = r − 3 + 0.05(r − 3)
c. $12.60
[3]
answers correct except for one small error
[2]
two parts correct
[1]
one part correct
20. y = 5x; 10.00
7
58
21. y = − x +
5
5
1
ID: A
22. y + 10 =
5
(x – 3)
4
23.
24. x-intercept is
15
; y-intercept is −50
7
25. D
26. D
27.
infinitely many solutions
28. (2, 3)
29. A
2
ID: A
30.
31. D
32.
33.
34.
35.
36.
37.
38.
39.
40.
C
D
C
B
C
B
D
A
3
ID: A
41.
x
0
1
2
3
C
40
75
110
145
42.
Each tile has 2 red triangles, so n + 1 tiles have k + 2 red triangles.
4