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Semester 1 Algebra 1 Final

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Last updated 9 months ago
50 questions
Multiple Choice Section
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Free Response Section
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Question 1
1.

Unit 1
Solve. 9(x-3)=18

Question 2
2.

Unit 1
Solve. x+6(x+2)= -2

Question 3
3.

Unit 1
Solve. -7(4x+10)+8x+120=-20

Question 4
4.

Unit 1
Which graph represents the solutions of the inequality: 4 - 3x < 19

Question 5
5.

Unit 1
Solve. 14+6x < -10

Question 6
6.

Unit 1
What expression models the following phrase: “an hourly wage of $16 plus a $100 bonus.”

Question 7
7.

Unit 2
Which situation represents a discrete relation?

Question 8
8.

Unit 1
What are the coefficients in the given expression? 12x - y +6

Question 9
9.

Unit 2
Select the domain shown on the one variable graph.

Question 10
10.

Unit 2
Randy has already sold $40 worth of tickets to the Halloween Festival. He has 3 tickets left to sell for $4.00 per ticket. What is the independent variable?

Question 11
11.

Unit 2
Randy has already sold $40 worth of tickets to the Halloween Festival. He has 3 tickets left to sell for $4.00 per ticket. What is the dependent variable?

Question 12
12.

Unit 2
Ryan is planning a dinner for a group of 15 people. The caterer charges $125 plus cost $20 per x, person. Which function can represent the situation?

Question 13
13.

Unit 2
Which relation is not a function?

Question 14
14.

Unit 2
What is the range given in the relation?

Question 15
15.

Unit 2
What is the domain given in the relation?

Question 16
16.

Unit 2
Using the table, find the 14th term.

Question 17
17.

Unit 2
What is the pattern in the given table?

Question 18
18.

Unit 2
Is the following relationship a function:

Question 19
19.

Unit 2
Is the following relationship a function:

Question 20
20.

Unit 3
Which equation represents 9x - 3y = -18 in y=mx+b?

Question 21
21.

Unit 3
Find the x and y intercepts from the equation:
-4x + 2y = 24

Question 22
22.

Unit 3
Which graph represents y = 2x - 3?

Question 23
23.

Unit 3
What is the slope of the given graph?

Question 24
24.

Unit 3
What is the linear equation in slope intercept form (y=mx+b) if the slope is 4 and contains a point of (5,13)?

Question 25
25.

Unit 3
What transformation occurs from f(x) = 3x + 1 to g(x) = 3x - 2?

Question 26
26.

Unit 3
What is the linear equation in slope intercept form (y=mx+b) if the line contains the points (2, 7) and (6, -1)?

Question 27
27.

Unit 3
The Chess Club is fundraising by selling crossword puzzles for $5 and sudoku puzzles for $4. The club needs to raise $410. What standard form equation (ax+by=c) represents the situation?

Question 28
28.

Unit 3
A tutor charges an initial fee of $50 plus a rate of $20 per hour. The function that shows the total fees charged is f(x) = 20x + 50. What is a new function, if the tutor increased their hourly rate by $5 per hour?

Question 29
29.

Which graph represents y > 2x - 2

Question 30
30.

What linear inequality represents the given graph? (Dashed Line, Shaded Below)

Question 31
31.

Unit 4
If you solve a system and you get -5 = -5, then what do you know about the solution to that system of equations?

Question 32
32.

Unit 4
If you solve a system and you get -2 = -8, then what do you know about the solution to that system of equations?

Question 33
33.

Unit 4
When using substitution to solve this system of equations, what is the result of the first step?
x = 6y + 3
x + 2y = 5

Question 34
34.

Unit 4
Solve the system of linear equation.
y=3x+7
x+3y=11

Question 35
35.

Unit 4
Solve the system of linear equation.
2x+y=7
3x-4y=5

Question 36
36.

Unit 4
Solve the system of linear equation.
3x+y = 6
6x+2y=8

Question 37
37.

Unit 4
How many solutions does the system of linear equation have?
-7x+2y=10
y=2x+5

Question 38
38.

One smartphone plan costs $30 and $8 per gigabyte of data used each month. A second smartphone plan costs $60 and $3 per gigabyte of data used each month. After how many gigabytes will both company’s charge the same?
Hint:
Create equations for each company.
Company A: ___________ Company B: ___________

Question 39
39.

Unit 4
Which graph represents the solution to system of linear equations?

Question 40
40.

Unit 4
Which system of linear inequalities represents the graph shown?

Question 41
41.

Unit 1
Solve the equation. 4x + 3(x – 3) = 26

Question 42
42.

Unit 3
Write an equation from the table. (Hint: y=mx+b)

Question 43
43.

Unit 1
Carl opened a bank account that does not earn interest with $900. He deposits $30 per week. After how many weeks will Carl have $1260 in his bank account?

Question 44
44.

Unit 2
Determine if the relationship is a function.

Question 45
45.
Unit 2
Determine the domain and range of the graph.

a. ) What is the domain? _______ < x < _______
b.) What is the range? _______ < y < _______
Question 46
46.
Unit 3
A line includes the points (-5, 3) and (1, 15).
a. Calculate the slope of the line. slope = _______
b. Find the y-intercept of the line. y-int = _______
c. Write the equation of the line in slope-intercept form. Equation = _______
Question 47
47.

Unit 3

Question 48
48.
Unit 1, 2, 3, and 4
Cell phone company A charges $140 for a phone plus a $50 monthly fee. Cell phone company B gives a free phone and charges $70 per month. Create equations for each company.
Company A: _______
Company B: _______
Question 49
49.

Unit 4
Solve the following system of equations:
y = 2x – 6
-3x + 5y = 19

Question 50
50.
Unit 4
A group of 8 people went to dinner. The dinner costs $7 for adults and $4 for children, and the group paid a total of $41. How many adults and how many children were in the group?
Adults:_______
Children: _______