Semester 1 Algebra 1 Final

Last updated 7 months ago
50 questions
Multiple Choice Section
0

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

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

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

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

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Unit 1
Solve. 14+6x < -10

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

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Unit 2
Which situation represents a discrete relation?

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

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

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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?

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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?

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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?

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Unit 2
Which relation is not a function?

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Unit 2
What is the range given in the relation?

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Unit 2
What is the domain given in the relation?

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

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Unit 2
What is the pattern in the given table?

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Unit 2
Is the following relationship a function:

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Unit 2
Is the following relationship a function:

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

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

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

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Unit 3
What is the slope of the given graph?

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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)?

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

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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)?

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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?

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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?

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Which graph represents y > 2x - 2

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

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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?

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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?

1

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

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

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

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

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

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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: ___________

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

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

Free Response Section
1

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

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

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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?

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Unit 2
Determine if the relationship is a function.

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Unit 2
Determine the domain and range of the graph.

a. ) What is the domain? _______ < x < _______
b.) What is the range? _______ < y < _______
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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 = _______
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Unit 3

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

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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: _______