MRY Algebra 1 Final Exam (92 PTS) (11/7/2023)

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Translate the statement below. "Five times the difference of a number and 3 is 17."

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Solve the equation
5x + 1 = -49

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Solve the equation
13w - 2(4w + 1) = w - 58

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Identify the first step to solve the equation x/-4 + 7 = -1

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Which could be the table of values that was used to graph the function of x shown in the graph?

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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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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 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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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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What is the pattern in the given table?

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

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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)? Hint: you need to use all the given info to find 'b'.

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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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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. Hint: Use substitution.
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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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

Translate the statement below. "Five times the difference of a number and 3 is 17."

Solve the equation5x + 1 = -49

Solve the equation13w - 2(4w + 1) = w - 58

Identify the first step to solve the equation x/-4 + 7 = -1

Which line contains an error solving the equation?

Solve the equation for h

Which value of x is NOT in the solution to the compound inequality shown?

Solve the inequality below:-2(x - 5) < 4

Solve the inequality shown.

Which graph represents the solution to the inequality shown?

Translate the statement below."A number is no more than 50."

Solve the inequality shown.

Solve and graph the inequality shown.

Identify ALL relations that represent functions.

Given the function below, determine which of the following values will result in f(x)=10.

Which could be the 5th ordered pair to remain a function?

What is the domain of the graph shown?

What is the slope of the line whose equation is2y = 3x + 4?

What is the slope of the line x = -5?

Which could be the table of values that was used to graph the function of x shown in the graph?

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

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 relation is not a function?

What is the range given in the relation?

What is the domain given in the relation?

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.

What is the pattern in the given table?

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

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)? Hint: you need to use all the given info to find 'b'.

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?

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. Hint: Use substitution.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

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 the equation
5x + 1 = -49

Solve the equation
13w - 2(4w + 1) = w - 58

Solve the inequality below:
-2(x - 5) < 4

Translate the statement below.
"A number is no more than 50."

What is the slope of the line whose equation is
2y = 3x + 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. 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. Hint: Use substitution.
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

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: _