Semester 1 Algebra 1 Final

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Solve. 9(x-3)=18

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

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Solve. 2x+0.7=4

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

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Solve. 14+6x < -10

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Solve: -7(4x+10)+8x+120=-20

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

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

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Ryan had 10 more songs than Jeff. Tim had 2 times as many songs as Ryan. Together they had 122 songs. Write the expressions that represent each person:
Ryan: _______ Jeff: _ Tim: _______
How many songs did Jeff have?

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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. After how many months will the total fee be equal?
Create equations for each company. Company A: _ Company B: _

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Select all that apply to represent the mathematical statement of the inequality shown on the graph.

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Which situation represents a discrete relation?

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Which relation is not a function?

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What is the range given in the relation?

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What is the domain given in the relation?

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Tyler uses 6 bottles of water each day on his camping trip and goes camping for 7 days. What is the appropriate domain?

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

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Use the function, f(x)=8+2x to generate the first three terms of the sequence.

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Use the function, f(x)=-2+10x to generate the first three terms of the sequence.

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Write a function for the sequence f(0)=90, f(1)=78, f(2)=66

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Using the explicit rule f(x) = -11 + 14x, find the term number that results in 73.

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Using the table, find the 14th term.

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What is the pattern in the given table?

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Is the following relationship a function:

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Is the following relationship a function:

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

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

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Which graph represents y = 2x - 3?

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What is the slope of the given graph?

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What does the x-intercept represent from the given graph?

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What is the linear equation in slope intercept form if the slope is 4 and contains a point of (5,13)?

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What is the linear equation in slope intercept form if the line contains the points (2, 7) and (6, -1)?

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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 represents the situation?

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

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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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What linear inequality represents the given graph?

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Which graph represents y > 2x - 2

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

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Solve the system of equations.
y = x
y = -2/3x + 5

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

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

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

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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?
Create equations for each company.
Company A: _ Company B: _

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A buffet dinner costs $7.00 for adults and $4.00 for children. If a family of 8 paid $41.00, how many paid the adult price?

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Which graph represents the solution to system of linear equations?

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Alex is buying drinks and snacks for a party at his house and wants to spend less than $45. Drinks cost $2 each, and snacks cost $4 each. He needs to buy at least 11 drinks and snacks altogether. Which system represents this situation?

1

Solve. 9(x-3)=18

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

Solve. 2x+0.7=4

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

Solve. 14+6x < -10

Solve: -7(4x+10)+8x+120=-20

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

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

Ryan had 10 more songs than Jeff. Tim had 2 times as many songs as Ryan. Together they had 122 songs. Write the expressions that represent each person:Ryan: _____________ Jeff: _____________ Tim: _____________How many songs did Jeff have?

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. After how many months will the total fee be equal?Create equations for each company. Company A: ___________ Company B: ___________

Select all that apply to represent the mathematical statement of the inequality shown on the graph.

Which situation represents a discrete relation?

Which relation is not a function?

What is the range given in the relation?

What is the domain given in the relation?

Tyler uses 6 bottles of water each day on his camping trip and goes camping for 7 days. What is the appropriate domain?

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

Use the function, f(x)=8+2x to generate the first three terms of the sequence.

Use the function, f(x)=-2+10x to generate the first three terms of the sequence.

Write a function for the sequence f(0)=90, f(1)=78, f(2)=66

Using the explicit rule f(x) = -11 + 14x, find the term number that results in 73.

Using the table, find the 14th term.

What is the pattern in the given table?

Is the following relationship a function:

Is the following relationship a function:

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

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

Which graph represents y = 2x - 3?

What is the slope of the given graph?

What does the x-intercept represent from the given graph?

What is the linear equation in slope intercept form if the slope is 4 and contains a point of (5,13)?

What is the linear equation in slope intercept form if the line contains the points (2, 7) and (6, -1)?

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 represents the situation?

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

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?

What linear inequality represents the given graph?

Which graph represents y > 2x - 2

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

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

Solve the system of equations.y = xy = -2/3x + 5

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

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

Solve the system of linear equation.2x+y=73x-4y=5

Solve the system of linear equation.3x+y = 66x+2y=8

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

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?Create equations for each company.Company A: ___________ Company B: ___________

A buffet dinner costs $7.00 for adults and $4.00 for children. If a family of 8 paid $41.00, how many paid the adult price?

Which graph represents the solution to system of linear equations?

Alex is buying drinks and snacks for a party at his house and wants to spend less than $45. Drinks cost $2 each, and snacks cost $4 each. He needs to buy at least 11 drinks and snacks altogether. Which system represents this situation?

Which system of linear inequalities represents the graph shown?

Ryan had 10 more songs than Jeff. Tim had 2 times as many songs as Ryan. Together they had 122 songs. Write the expressions that represent each person:
Ryan: _______ Jeff: _ Tim: _______
How many songs did Jeff have?

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. After how many months will the total fee be equal?
Create equations for each company. Company A: _ Company B: _

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

Solve the system of equations.
y = x
y = -2/3x + 5

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

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

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

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

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

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?
Create equations for each company.
Company A: _ Company B: _