Benchmark Review

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Which table shows the same rate of change of y with respect to x as the equation

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What is the rate of change of the function y = -4?

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What are the slope and y-intercept of the equation of the line graphed below?

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Which situation is represented by the graph below?

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Max earns $8 per hour working at his dad’s automotive shop. He is saving his earnings to buy a car stereo system that costs $240. Which graph best represents the problem situation and could be used to predict the number of hours Max needs to work in order to buy the car stereo system?

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Graph the linear equation 7x + 4y = -28 on the coordinate grid.

Which statement about the linear equation is true?

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Linear function t has a zero of −1 and a y-intercept of 5. Which graph best represents t?

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What is the range of the function given by the table below?

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The mapping below represents all of the points on the graph of a function. What is the range?

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What is the domain of the relation shown below as a mapping diagram?

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The graph below shows the path a student walked from outside a locked door at school to the lobby. What is the domain?

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Mario has an iTunes gift card worth $20.00. He uses the formula y = 0.99x to determine y, the total cost for x number of songs. What is the domain for the situation?

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A railroad car can carry a maximum cargo weight of 110,000 pounds. A company uses one car to ship 2,000 pound canisters. The total cargo weight is a function of the number of containers on the railroad car. What is the greatest value in the domain for this situation?

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1

Batteries are on sale for $9.75 a package, including tax. Each package contains 8 batteries and there is a limit of 2 packages per customer. Since cost is a function of the number of packages purchased, which of the following correctly describes the range of this relation?

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Given the line 3y = 18, which statement is NOT true?

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1

The energy output from a chemical reaction is dependent on the amount of chemicals
used. The table shows this relationship.

What is a reasonable amount of energy output from the reaction of 23 moles of the chemicals?

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1

For the following inequality, solve for y:
5x - 3y < 6

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1

A graph of a linear inequality in two variables is shown on the coordinate grid.

Which inequality represents all possible combinations of x and y shown in the graph?

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1

For the function w, w(8) = −6, and w(−6) = 8. If y = w(x), what is the value of y when x = −6?
Record your answer. Be sure to use the correct place value.

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The graph of a function is shown on the grid.

What are the domain and range for the function?

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A part of a linear function is shown on the grid.

What is the domain of the part of the linear function shown?

The domain is the set of all real numbers __________ and __________

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Simplify the algebraic expression 3(2x - 4y) + 5xy - 2(3x - 2y)

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Identify the situations that best represent the function y = -2x + 60

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Charlotte has been wanting to get healthier and wants to drink smoothies for breakfast in the morning. The local grocery store has a deal, if you buy 2 smoothies for $5.75 each you get one free! She has $46.00 left over in her grocery budget. How many smoothies could Charlotte get using the remaining
amount of her budget?

Charlotte could get _______ smoothies.

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Solve the inequality 3(1 - 4x) < -9x + 5

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1

Giovanni receives $775 for working at a hardware store each week. For each riding lawnmower he sells, he earns a $140 bonus. Which equation can be used to find Giovanni’s total weekly paycheck, P(x), based on the number of cameras that he sells, x?

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1

The table shows a linear relationship between x and y. What is the slope of the line represented by the values in the table?

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1

A linear inequality in two variables is shown:

Which graph would represent the solution set of the linear inequality?

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1

Mango Manufactures uses formula M(b) = 7/2b + 35 to pay its workers, where M(b) represents the worker’s total daily pay and b represents the number of baskets of mangoes picked. What is the rate workers are paid per basket of mangoes picked?

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1

A linear inequality in two variables is shown:

Which graph would represent the solution set of the linear inequality?

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1

Mary is starting a tutoring service to make extra money. She plans to charge a base fee of $8 plus $6 per hour. Which function can be used to find the total charge for Mary’s babysitting service, y, based on the number of hours she babysits, x?

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1

The value of y is directly proportional to the value of x. When x = 4.5, y is 18.
What is the value of y when x = 17?

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1

The parent function for a line is y = x. Which of the following are family members of it?
Select all that apply.

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The following equation is given in standard form. Solve for y by putting it in slope-intercept form.

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1

Cory is a baseball pitcher. His pitching speed increases by 2 miles per hour every 5 week of practice. Without practice, he already throws 60 mph. Which of the following graphs displays a function that would represent this situation?

Which table shows the same rate of change of y with respect to x as the equation

What is the rate of change of the function y = -4?

What are the slope and y-intercept of the equation of the line graphed below?

Which situation is represented by the graph below?

Max earns $8 per hour working at his dad’s automotive shop. He is saving his earnings to buy a car stereo system that costs $240. Which graph best represents the problem situation and could be used to predict the number of hours Max needs to work in order to buy the car stereo system?

Graph the linear equation 7x + 4y = -28 on the coordinate grid.Which statement about the linear equation is true?

Linear function t has a zero of −1 and a y-intercept of 5. Which graph best represents t?

What is the range of the function given by the table below?

The mapping below represents all of the points on the graph of a function. What is the range?

What is the domain of the relation shown below as a mapping diagram?

The graph below shows the path a student walked from outside a locked door at school to the lobby. What is the domain?

Mario has an iTunes gift card worth $20.00. He uses the formula y = 0.99x to determine y, the total cost for x number of songs. What is the domain for the situation?

A railroad car can carry a maximum cargo weight of 110,000 pounds. A company uses one car to ship 2,000 pound canisters. The total cargo weight is a function of the number of containers on the railroad car. What is the greatest value in the domain for this situation?

Batteries are on sale for $9.75 a package, including tax. Each package contains 8 batteries and there is a limit of 2 packages per customer. Since cost is a function of the number of packages purchased, which of the following correctly describes the range of this relation?

Given the line 3y = 18, which statement is NOT true?

The energy output from a chemical reaction is dependent on the amount of chemicalsused. The table shows this relationship. What is a reasonable amount of energy output from the reaction of 23 moles of the chemicals?

For the following inequality, solve for y:5x - 3y < 6

A graph of a linear inequality in two variables is shown on the coordinate grid.Which inequality represents all possible combinations of x and y shown in the graph?

For the function w, w(8) = −6, and w(−6) = 8. If y = w(x), what is the value of y when x = −6?Record your answer. Be sure to use the correct place value.

The graph of a function is shown on the grid.What are the domain and range for the function?

Simplify the algebraic expression 3(2x - 4y) + 5xy - 2(3x - 2y)

Identify the situations that best represent the function y = -2x + 60

Solve the inequality 3(1 - 4x) < -9x + 5

Giovanni receives $775 for working at a hardware store each week. For each riding lawnmower he sells, he earns a $140 bonus. Which equation can be used to find Giovanni’s total weekly paycheck, P(x), based on the number of cameras that he sells, x?

The table shows a linear relationship between x and y. What is the slope of the line represented by the values in the table?

A linear inequality in two variables is shown:Which graph would represent the solution set of the linear inequality?

Mango Manufactures uses formula M(b) = 7/2b + 35 to pay its workers, where M(b) represents the worker’s total daily pay and b represents the number of baskets of mangoes picked. What is the rate workers are paid per basket of mangoes picked?

A linear inequality in two variables is shown:Which graph would represent the solution set of the linear inequality?

Mary is starting a tutoring service to make extra money. She plans to charge a base fee of $8 plus $6 per hour. Which function can be used to find the total charge for Mary’s babysitting service, y, based on the number of hours she babysits, x?

The value of y is directly proportional to the value of x. When x = 4.5, y is 18.What is the value of y when x = 17?

The parent function for a line is y = x. Which of the following are family members of it?Select all that apply.

The following equation is given in standard form. Solve for y by putting it in slope-intercept form.

Cory is a baseball pitcher. His pitching speed increases by 2 miles per hour every 5 week of practice. Without practice, he already throws 60 mph. Which of the following graphs displays a function that would represent this situation?

Graph the linear equation 7x + 4y = -28 on the coordinate grid.

Which statement about the linear equation is true?

The energy output from a chemical reaction is dependent on the amount of chemicals
used. The table shows this relationship.

What is a reasonable amount of energy output from the reaction of 23 moles of the chemicals?

For the following inequality, solve for y:
5x - 3y < 6

A graph of a linear inequality in two variables is shown on the coordinate grid.

Which inequality represents all possible combinations of x and y shown in the graph?

For the function w, w(8) = −6, and w(−6) = 8. If y = w(x), what is the value of y when x = −6?
Record your answer. Be sure to use the correct place value.

The graph of a function is shown on the grid.

What are the domain and range for the function?

A linear inequality in two variables is shown:

Which graph would represent the solution set of the linear inequality?

A linear inequality in two variables is shown:

Which graph would represent the solution set of the linear inequality?

The value of y is directly proportional to the value of x. When x = 4.5, y is 18.
What is the value of y when x = 17?

The parent function for a line is y = x. Which of the following are family members of it?
Select all that apply.