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Benchmark Review

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Last updated over 2 years ago
35 questions
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AI.9.3.B
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Question 13
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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?

Question 14
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Question 18
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Question 19
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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.

Question 20
20.

Question 21
21.
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 __________
Question 22
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Question 23
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Question 24
24.
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.
Question 25
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Question 26
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Question 27
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Question 28
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Question 29
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Question 30
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Question 31
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Question 32
32.

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?

Question 33
33.

Question 34
34.

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

Question 35
35.

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?
-4
4
Undefined
0
What are the slope and y-intercept of the equation of the line graphed below?




Which situation is represented by the graph below?
A farmer started trimming his tomato plant very slowly. Then he took a break and went inside. After his break, he went out and started to trim more at a much faster rate.
A farmer started trimming his tomato plant quickly. Then he took a break and went inside. After his break, he went out and started to trim a little more at a slower rate.
A tomato plant started growing very slowly at first. Then it stopped growing for a bit. After the period without growth, it went through a very big growth spurt.
A tomato plant grew rapidly at a constant rate. Then, a dry spell hit for a month and it didn’t really grow. After the dry spell, it started to slowly grow at a constant rate.
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?
The y-intercept is (0,-4), the slope is -7/4, and the zero is x = -7.
The y-intercept is (0,-7), the slope is -7/4, and the zero is x = -4.
The y-intercept is (0,-7), the slope is -4/7, and the zero is x = -4.
The y-intercept is (0,-4), the slope is -4/7, and the zero is x = -7.
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?
{x I x = -3, -1, 1, 3, 5, 7, 9}
{y I y = -3, -1, 1, 3, 5, 7, 9}
-3 < y < 3
-3 < x < 9
The mapping below represents all of the points on the graph of a function. What is the range?
{x I x = 2, 3, 4, 5}
{y I y = 2, 3, 4, 5}
{x I x = 8, 9, 10, 11}
{y I y = 8, 9, 10, 11}
What is the domain of the relation shown below as a mapping diagram?
{-3, -2, 0, 1}
{0, 2, 2, 4}
{0, 2, 4}
{(0, 0), (2, 1), (2, -2), (4, 3)}
The graph below shows the path a student walked from outside a locked door at school to the lobby. What is the domain?
-3 < y < 3
-4 < y < 5
-4 < x < 3
-3 < x < 3
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?
The set of all real numbers between 0 and 19.80
The set of all integers between 0 and 20
The set of all integers greater than 0
The set of all integers between 0 and 250
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?
The data is discrete and the range is {0 < y < 2}
The data is discrete and the range is {0, $9.75, $19.50, $29.25 }.
The data is continuous and the range is {0 < y < 2 }
The data is continuous and the range is {0, 4, 8, 12}
Given the line 3y = 18, which statement is NOT true?
The line is parallel to the x-axis
The line has an undefined slope.
The line has a slope of zero.
The line is perpendicular to the y-axis
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?
128 joules
110 joules
77 joules
92 joules
For the following inequality, solve for y:
5x - 3y < 6
y < 5/3x+6
y < - 3/5x + 65
y > -3/5x-25
y > 5/3x-2
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?
y > 1/2x − 3
y < 2x − 3
y < 1/2x − 3
y > 2x − 3
The graph of a function is shown on the grid.

What are the domain and range for the function?
Domain: 0 < y < 8; Range: x > −7
Domain: 0 < y ≤ 8; Range: x ≥ −7
Domain: x ≥ −7; Range: 0 < y ≤ 8
Domain: x > −7; Range: 0 < y < 8
Simplify the algebraic expression 3(2x - 4y) + 5xy - 2(3x - 2y)
16y + 5xy
6x - 16y + 5xy
12x +16y + 5xy
-8y + 5xy
Identify the situations that best represent the function y = -2x + 60
A jar contains a total of 60 marbles. The number of marbles removed from the jar is represented by the function y= -2x + 60. "x" represents the number of marbles removed.
A company charges $60 per hour for its consulting services. y= -2x + 60 represents the total charges the company billed. "x" represents how many bills the company sent.
A box contains 60 animal crackers. Anthony eats some of the crackers. The number of crackers Anthony eats is represented by the function y= -2x + 60. "x" represents the number of crackers Anthony eats.
A student's grade in a subject improves by 2 points for every 60 minutes spent studying. This is represented by the function y = -2x + 60. "x" represents how many points for every 60 minutes spent studying.
Solve the inequality 3(1 - 4x) < -9x + 5
x>-2/3
x<2/5
x<-2/3
x>-2/21
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?
P(x) = 140x
P(x) = 140x + 775
P(x) = 1/140x+775
P(x) = 775x + 140
The table shows a linear relationship between x and y. What is the slope of the line represented by the values in the table?
m=2
m=-7/2
m=7/2
m=-2/7
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?
$35.00
$7.00
$3.00
$3.50
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?
y = 8x - 6
y = 6x + 8
y = 8x + 6
y = 6x - 8
The parent function for a line is y = x. Which of the following are family members of it?
Select all that apply.
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?