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: _

1

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?

1

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

Semester 1 Algebra 1 Final

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?

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?

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: _

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: _