REVIEW Algebra 1 – Fall Final

REVIEW Algebra 1 – Fall Final
1.
Solve: 4(𝑥 − 8) = 4𝑥 − (7𝑥 − 3)
A. 𝑥 = 29/7
B. 𝑥 = −5
C. 𝑥 = 𝑛𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛
D. 𝑥 = 5
(A.5A)
6.
Write the equation of a line passing through
1
(−5, 7)that is parallel to the line 𝑦 = 𝑥 + 7
5
(A.2E)
1
5
A. 𝑦 = 𝑥 + 8
1
5
B. 𝑦 = 𝑥 − 7
C. 𝑦 = −5𝑥 − 18
Use the graph below to answer questions #2-3
D. 𝑦 = −5𝑥 − 9
7.
(A.2F) Write the equation of a
line passing through
(−4,6)that is perpendicular to 𝑦 = −4𝑥 + 5
A. 𝑦 = 4𝑥 + 22
1
B. 𝑦 = 4 𝑥 + 7
C. 𝑦 = 4𝑥 + 5
1
D. 𝑦 = − 4 𝑥 + 5
2.
Find the range of the function.
(A.2A)
A.
B.
C.
D.
3.
(A.2A)
4.
(A.2C)
𝑦 ≥ −2
𝑥 > −4
𝑦 ≤ −4
𝑦 ≥ −4
Write the equation and find the slope of
the line on the graph below.
(A.2G)
Find the domain.
A. 𝑦 ≥ −4
B. 𝑥 ≥ −2
C. 𝑦 ≤ −4
D. 𝑥 ≤ −2
Natasha and her friends go out for ice
cream. They decide to create their own ice
cream, which costs $1.60 plus 8 cents per
topping. If 𝑥 represents the number of toppings
on the ice cream, then which equation describes
𝑦, the total cost for the ice cream?
A.
B.
C.
D.
5.
8.
(A.2C)
A.
B.
C.
D.
9.
𝑥
𝑦
𝑥
𝑦
=
=
=
=
−2, slope is 0.
−2, slope is 0.
−2, slope is undefined.
−2, slope is undefined.
Write the equation and find the slope of
the line graphed below.
(A.2G)
𝑦 = (. 08 + 1.60)𝑥
𝑦 = .08 + 1.60𝑥
𝑦 = 1.60 + .08𝑥
𝑦 = 8𝑥 + 1.60
Which equation best describes the graph?
A. 𝑦 = 2𝑥 + 3
B. 𝑦 = −2𝑥 + 3
1
C. 𝑦 = 2 𝑥 + 3
1
D. 𝑦 = − 2 𝑥 + 3
A.
B.
C.
D.
𝑥
𝑦
𝑥
𝑦
=
=
=
=
3, slope is 0.
3, slope is 0.
3, slope is undefined.
3, slope is undefined.
REVIEW Algebra 1 – Fall Final
10.
11.
A pizza shop needs at least 600 lbs of
cheese per month. The storage freezer contains
23 lbs of cheese on the first day of the month. If
cheese is bought in 50 lb bags, which inequality
can be used to calculate how many bags of
cheese, 𝑥, are needed for the month?
A. 23 + 50𝑥 ≥ 600
B. 23 + 50𝑥 > 600
C. 23 + 50𝑥 < 600
D. 23 + 50𝑥 ≤ 600
(A.2H)
13.
A. 8A+ 4C = 42
A + C = 245
B. A + C = 42
4A + 8C = 245
C. 8A + 4C =245
A + C = 42
D. A + C = 42
A + C = 245
Which inequality can be represented by
the graph below?
(A.2H)
14.
A.
B.
C.
D.
12.
At a family reunion it was decided that as a
group adults and children wanted to attend a
play performance. When Mary bought 42
tickets, the bill was $245. If the adult tickets, A,
were $8 and the children tickets, C , were $4,
which system best represents this situation?
(A.2I)
Write the system of equations from the
table:
(A.2I)
𝑦 ≥𝑥+𝑏
𝑥 − 𝑦 ≥ −𝑏
𝑥+𝑦 ≤𝑏
−𝑦 ≤ 𝑥 + 𝑏
Which pair of equations corresponds to the
two lines in the graph?
(A.2I)
x
Y1
Y2
0
5
1
1
6
−2
2
7
−5
3
8
−8
4
9
−11
A. 𝑦 = 𝑥 + 1
𝑦 = −2𝑥 + 5
B. 𝑦 = 𝑥 + 5
𝑦 = −𝑥 + 5
C. 𝑦 = 𝑥 + 5
𝑦 = −3𝑥 + 1
D. 𝑦 = 2𝑥 + 5
𝑦 = 5𝑥 + 8
A. 𝑦 = 2𝑥
1
𝑦 = −2𝑥
B. 𝑦 = 𝑥 − 3
15.
Determine the slope of the line that passes
through the points on the graph below.
(A.3A)
1
𝑦 = −2𝑥
C. 𝑦 = −𝑥 + 3
𝑦=
1
𝑥
2
D. 𝑦 = 𝑥 − 3
1
𝑦 = 2𝑥
(−3, 2)
A.
9
B.
−9
1
C. −25
D. −9
(−2, −7)
REVIEW Algebra 1 – Fall Final
16.
The table represents the height of Lake Ray
Roberts over a 6 year period.
(A.3B)
x
0
2
4
6
8
19.
y
1000
928
856
784
712
Solve the following system using any
method:
𝑥 + 2𝑦 = 8
(A.3F)
𝑦 = 𝑥– 2
What is the rate of change of the lake as
represented by the table?
A.
B.
C.
D.
17.
Graph the inequality and determine which
of the points are solutions.
𝑦 < −𝑥 − 3
A.
B.
C.
D.
(A.3D)
A.
B.
C.
D.
18.
1
𝑚 = − 36
𝑚 = −72
𝑚 = −36
𝑚 = 36
20.
No solution
Infinite solutions
(2, 4)
(4, 2)
The graph of the system of equations is
shown below:
𝑦 = −3𝑥 + 5
𝑥=1
(A.3H)
B only
A and B only
C and D only
none
(A.2H) You receive $40 in allowance each week.
Each time you do not wipe off the table after
dinner, your parents deduct 75 cents from your
allowance. You want to purchase a song on Itunes. Which inequality can be used to calculate
how many times that you can forget to make your
table, 𝑡 and have at least $12.50 left to afford the
songs you want?
A. 40 − .75𝑏 ≥ 12.50
B. 40 + .75𝑏 ≤ 12.50
C. 40 + .75𝑏 ≥ 1.5𝑏
D. 40 − .75𝑏 ≤ 12.50
Which point below is the solution set of the
system of inequalities?
𝑦 < −3𝑥 + 5
𝑥≥1
A. (1, 6)
B. (1, 2)
C. (2, −3)
D. (−2, 6)
REVIEW Algebra 1 – Fall Final
21.
Which graph below has the strongest
correlation coefficient?
A.
23.
(A.4A)
B.
(A.4C) The table below shows the number of
books read by students during the summer and
the student’s grade they received the following
semester. Find the equation for the line of best
fit. Then use your equation to predict the grade
of a student who read 7 books.
Books
Grade
0
0
0
0
1
1
1
2
2
3
5
8
10
14
20
56
65
48
53
65
68
67
72
70
78
82
95
98
99
98
A.
B.
C.
D.
24.
(A.5C)
25.
(A.5C)
C.
22.
During the summer months the manager at
a surf shop on the beach studies the monthly
sales figures for his surf boards and notices a
positive correlation to the number of drownings.
He is horrified! He decides to immediately close
down his surf shop. Do you agree with his
decision?
A. Yes, it appears the surf boards are causing
the drownings.
(A.4B)
B. No, because correlation does not mean
causation.
C. Yes, because people who surf are the
ones drowning.
D. No, because a correlation cannot be
determined with this information given.
74
80
85
90
A high school band held a bake sale. The
number of muffins, m, sold was five less than
twice the number of cookies, c, sold. The band
sold a total of 49 muffins and cookies. How many
muffins did the band sell?
Record your answer
What is the solution to the system of
equations?
A.
B.
C.
D.
(−2, 3)
(−2, −3)
(3, 2)
(3, −2)
REVIEW Algebra 1 – Fall Final
26.
What is the solution to the system
represented by the table below?
(A.5C)
A.
B.
C.
D.
27.
𝑥
𝑌1
𝑌2
0
−5
3
1
−4
0
2
−3
−3
3
−2
−6
4
−1
−9
(0, −5)
(−3, 2)
(2, −3)
(−3, −3)
The slope and 𝑦-intercept of the graph of 𝑔
were changed to make the graph of 𝑓, as shown
below.
(A.3E)
Which statement describes the changes that
were made to the graph of 𝑔 to make the graph
of 𝑓?
A. The slope was multiplied by 2, and the
𝑦-intercept was decreased by 5 to make
the graph of 𝑔.
Which pair of equations corresponds to the
two lines in the graph?
(A.2I)
1
A. 𝑦 = − 𝑥 − 2
3
𝑦 = 2𝑥 + 5
1
B. The slope was multiplied by − , and the
2
𝑦-intercept was increased by 5 to make
the graph of 𝑔.
B.
𝑦 = 2𝑥 + 5
1
𝑦 =− 𝑥−2
3
C. The slope was multiplied by −2, and the
𝑦-intercept was decreased by 5 to make
the graph of 𝑔.
C.
𝑦 = −2𝑥 + 5
1
𝑦 = 𝑥−2
3
D. 𝑦 = 3𝑥 − 2
1
𝑦 =− 𝑥+5
2
28.
29.
1
D. The slope was multiplied by , and the
2
𝑦-intercept was increased by 5 to make
the graph of 𝑔.
30.
The band fundraiser is selling shirts, s and
sweatshirts, w. Each shirt gives them a $2 profit
and each sweatshirt gives them a $3 profit. They
made a total profit of $370 and sold a total of 140
shirts and sweatshirts. Which pair of linear
equations would determine the number of each
item sold?
Which line is parallel to 𝑦 = 5𝑥 + 4 and
passes through the point (−4, −11)?
(A.2E)
(A.2I)
A. 𝑤 + 𝑠 = 370
3𝑤 + 2𝑠 = 140
B.
2𝑤 + 3𝑠 = 370
𝑠 + 𝑤 = 140
C. 𝑤 + 𝑠 = 140
2𝑤 + 3𝑠 = 370
D. 3𝑤 + 2𝑠 = 370
𝑠 + 𝑤 = 140
A. 𝑦 = 5𝑥 + 9
1
B. 𝑦 = 5 𝑥 + 10.2
C. 𝑦 = −5𝑥 − 31
D. 𝑦 = 5𝑥 − 9
31.
Mr. Welch puts 4,000 in his bank account
every year for the family fun fund. Each month
his family spends $400 having fun. How many
months until Mr. Welch runs out of money in his
fun fund account?
A. 400
B. 10
C. 12
D. 0
(A.3C)
REVIEW Algebra 1 – Fall Final
32.
What is the zero of the linear function
graphed below?
(A.3C)
34.
A. 4
A craftsman wants to spend less than $300
on supplies for making bracelets and necklaces.
Supplies for 1 bracelet cost $4, and supplies for 1
necklace cost $9. This relationship is shown in the
graph below.
(A.3D)
B. −2
C. 0
D. Not here
33.
(A.3D)
Which coordinate pair is in the solution set
2
for 𝑦 > - 1 + 3 𝑥
The craftsman wants to make at least 10 more
bracelets than necklaces. Which of the following
is a reasonable solution?
A. (3, 1)
B. (4, −2)
A.
B.
C.
D.
C. (−1, 1)
D. (2, −2)
35.
20 necklaces and 40 bracelets
15 necklaces and 30 bracelets
25 necklaces and 20 bracelets
20 necklaces and 25 bracelets
The graph below shows the distance from
Houston of two cars over a four hour period. Car
A is driving toward Houston, and Car B is driving
away from Houston. Based on the graph, at what
point are the two cars the same distance from
Houston?
(A.3G)
A. (20, 2)
B.
(0, 0)
C. (2, 20)
D. None of the above
REVIEW Algebra 1 – Fall Final
ANSWER KEY
Question
Answer
TEK
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.
D
D
B
C
D
A
B
C
B
A
A
B
C
C
D
C
D
A
D
C
B
B
B
31
D
C
C
D
B
A
B
B
C
B
C
5A
2A
2C
2C
2C
2E
2F
2G
2G
2H
2H
2I
2I
2I
3A
3B
3D
2H
2H
3F
5C
3H
4A
4B
4C
5C
5C
5C
2I
2I
3E
2E
3C
3C
3D
REVIEW Algebra 1 – Fall Final