Download X - Northwest ISD Moodle

Algebra 1: 1st Semester Exam Review
(1)
Name_________________
Write an equation to describe the data.
X
-1
1
3
5
(2)
Write a function that includes all of the ordered pairs in the table.
x
h(x)
(3)
Y
-9
-6
-3
0
2
3
4
5
6
5
3
1
-1
-3
What is the range of the function g(x) = 2x2 + 3x when the
domain is {-5,-4,-2, 0}?
(4)
Keith earns $9.50 an hour plus a weekly salary of $100. Write a linear model using h for hours and
W for total weekly pay for this situation.
(5)
Jackie charges $10 a page and $5 an hour to type research papers. Write an equation to describe
the relationship between the number of hours, x, and the total cost, y, for a 4 page research paper.
(6)
A math tutoring service charges $10 per hour plus $25 for the math software and manual needed to
practice the math skills taught by the service. If the total bill for one student was $95, then how
many hours did the student work with the service?
(7)
A construction foreman recorded the following data:
Number of Workers, W
4
8
12
16
20
Rooms completed, R
7
14
21
28
35
Write an equation that can be used to find R, the number of rooms completed by W workers.
(8)
The graph shows information about charges made on a banking account.
20
15
10
5
1
2
3
4
5
6
7
Which data table best fits the information in the graph?
(9)
X
0
1
2
3
Y
0
5
10
15
X
0
1
2
3
Y
5
10
15
20
X
5
10
15
20
Y
0
1
2
3
What is the value of the x in the following equation?
3x – (5x – 12) = 0
(10)
Given the equation 5x + 2y = -13 and (x, -1), what is the value of x?
(11)
Write an equation to represent the line that passes through the point (8,-1)
and has a slope of – ¾
(12)
3 out of every 8 students stay after school for tutorials. What is the
best prediction of the number of students that will stay for tutorials out of a total
of 1200 students?
(13)
The local swimming pool offers swimming lessons. The authorities that regulate the pool
require 3 adult swim instructors for every 25 students. If 250 students sign up for lessons, and
they have 7 adult instructors, how many more instructors should they hire to have enough to meet
the requirement?
(14)
Brett earns $32 an hour plus a $120 bonus each week. Write an equation that could be used to find
the number of hours Brett must work to earn a total of $2912 in a month.
(15)
You bought a full bag of jellybeans that contains 45 ounces of jellybeans. You eat 2 ounces of
jellybeans a day. Write an equation that could be used for find the weight of the Jellybeans, B,
after d days.
(16)
Michelle is paid a salary of $2100 each month plus 1.5% of her furniture sales. Write an equation
describing Michelle’s total monthly pay P, in terms of her furniture sales, f.
(17)
If f(x) = x2 – 9x + 1, what is f(-2)?
(18)
If the scale on a map is 1 cm = 50 miles, then how far apart on the map are two towns that are
231 miles apart?
(19)
The number of pieces passing grades in Algebra is directly proportional to the number of hours a
student studies. If a student passes 8 quizzes after studying 400 minutes, how many quizzes could
they expect to pass after 950 minutes?
(20)
A rectangle has 2 sides of length 3n + 2 and two sides of length n – 5.
What is the perimeter, P, of the rectangle in terms of n ?
(21)
The graph shows the relationship between time and cost for service for a computer repair
company.
Service Charges
Cost in Dollars
70
60
50
40
30
20
10
0
8:00
AM
9:00 10:00 11:00 12:00 1:00
AM
AM
AM
PM
PM
2:00
PM
3:00
PM
Time
The average charge per hour is shown in the graph.
What was the average rate of change in the charges from 10 a.m. to 11 a.m. ?
(22)
What is the solution to the equation -2(3x + 5) + 5x + 11 = 0 ?
(23)
Given the equation y = ½x – 13 and the ordered pair (4, y), what is the value of y?
(24)
(25)
Write an equation to describe the graph.
Given the data, make a prediction for the value of f(7)
X
f(x)
(26)
0
-8
1
-6
2
-4
3
-2
4
0
Bridgett has a coin collection of 210 coins. She gives 5 coins to her sister each month.
What is a reasonable range for this problem?
(27)
Graph the line parallel to 2x – 3y = 1 and containing the point (0, 1).
(28)
The cost of renting a car is $20 plus $0.34 a mile. Write an equation that can be used to find C,
the total cost of renting a car and driving m miles.
(29)
Write an equation to describe the data in the table.
X
-2
0
2
4
6
Y
1
4
7
10
13
(30)
What is the y-intercept of the function represented in the graph?
(31)
The graph of the function y = 2x + 1 is shown in the graph.
If the graph is translated 3 units down, write an equation for the
new line.
(32)
Write an equation to describe the data in the table.
A
0
3
6
9
B
-2
-4
-6
-8
(33)
Between what two integers will the graph of y = - ¾x + 5 x-axis?
(34)
Graph the line 5x – 4y = -20
(35)
What is the slope of the linear function represented in the table:
X
-2
0
2
4
6
f(x)
14
7
0
-7
-14
(36)
Write an equation for the line passing through the point (-4, 7) with a slope of -3
(37)
What is the y-intercept for the equation 5x – y = 1 ?
(38)
Find the value of h(-1) using the table:
X
h(x)
(39)
(40)
-3
5
-2
3
-1
1
0
-1
1
0
Which two equations are parallel ? Which two are perpendicular?
A
y = 2x + 3
B
y = 3x + 5
C
y = -½x + 1
D
y = ½x + 1
E
y = 3x – 1
Write an equation in slope-intercept form for the line that contains (4, -2) and (6, 0) ?