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End-of-Course (EOC) Math 1

Last updated 6 months ago
50 questions
This is the start of the calculator inactive test questions.

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1

Which choice is the graph of y = (4 - x)(x + 2)?

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In which graph does the shaded region represent the solution set for the inequality shown below?

2x - y < 4

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Which expression is equivalent to (x + 2)(3x - 3)?

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A line, y = mx + b, passes through the point (1, 6) and is parallel to y = 4x + 6. What is the value of b?

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Two functions are shown below.

f(x) = \frac{1}{2} \cdot 2^x g(x) = 5x + 2

What is the largest integer value of x such that f(x) \leq g(x)?

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A company models its net income, in thousands of dollars, with the function f(x) = 9x^{2} - 54x - 144, where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $0?

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1

Joanna has a total of 50 coins in her purse.

  • The coins are either nickels or quarters.
  • The total value of the coins is $7.10.

Which system of equations can be used to determine the number of nickels, n, and quarters, q, that Joanna has in her purse?

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The function f(x) = -0.25x + 5 models the height of a candle x seconds after it is lit. What is the meaning of the y-intercept of the function?

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The total cost, in dollars, of membership in a fitness center is given by the function c(m) = 20m + 40, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year?

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Water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.
  • The depth of the water is increasing linearly.
  • At 1:30 p.m., the water depth was 2.4 feet.
  • It is now 4:00 p.m., and the depth of the water is 3.9 feet.
What will the depth (in feet) of the water be at 5:00 p.m.?

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Sally works at a store.
  • x represents Sally’s monthly paycheck, and y represents her monthly savings.
  • Sally will save at least $20 more than half of her paycheck each month.
  • She can save at most $80 more than two-thirds of her paycheck each month.
  • Her paycheck each month is at least $1,200, but no more than $1,850.
Which system of inequalities represents these constraints?

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A company uses the formula T = 581s + 150p to determine the total cost to purchase s computers and p printers. Which formula can be used to determine the number of printers purchased, given the total cost, T, and the number of computers purchased?

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What is the value of the positive zero of the function, f, defined by f(x) = x^{2} - 121?

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What is the value of x in the system of equations shown below?

5x + 4y = 1
y = 1 - x

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What is the value of the smaller zero of the function f(x) = 2x^{2} - 8x - 24?

This is the end of the calculator inactive released items.

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1

A statistician collected the following data to explore the relationship between two variables, x and y.


The statistician performed a linear regression and also plotted the residuals.
  • Based on the residual plot, the statistician decided to exclude one data point.
  • The statistician then performed linear regression on the set of remaining data points.
  • The result was that the new linear model fit the remaining data more closely than the original model fit the original data.
Which data point did the statistician exclude?

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A set of nine data points is shown below.


Which statement is true if a tenth data point of 45 is added to the data set?

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What is the distance, in units, between the y-intercept of f(x) = x^{2} + 7x - 18 and the y-intercept of the linear function that passes through the points shown in the table below?

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What is the value of x in the equation shown below?

2(x + 8)–4x = 10x+4

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Three systems of equations are shown in the table below.

Place (click and drag) the choice that describes the number of solutions of each system into the appropriate column in the table below.
Other Answer Choices:
infinitely many solutions
no solution
one solution
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1

Which equation represents the line that is perpendicular to the graph of 4x + 3y = 9 and passes through (-2, 3)?

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A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number of members x months after the club began?

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Every ten years, the Census counts how many people are living in every town in the United States.
  • The 2010 Census showed that 1,000 people were living in Appleville, and 4,000 people were living in Bridgetown.
  • The population of Appleville is predicted to double every ten years.
  • The population of Bridgetown is predicted to increase by 1,000 every ten years.
If the predictions come true, what will be the first census year that will show Appleville with a larger population than Bridgetown?

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Two stores have movies to rent.
  • The first store charges a $12.50-per-month membership fee plus $1.50 per movie rented.
  • The second store has no membership fee but charges $3.50 per movie rented.
What is the minimum number of movies a person would need to rent in a month for the first store to be a better deal?

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Karen has two dogs. The larger dog weighs 1.4 pounds more than the smaller dog. The combined weight of the two dogs is 12.6 pounds. What is the weight, in pounds, of the smaller dog?

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Which choice could be modeled by a linear function?

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Oscar planted a tomato seed in his garden. Each day he recorded the height of the tomato plant.


During which interval did the tomato plant grow the fastest?

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The function a(n) = 3n - 7 represents the value of the nth term in a sequence. What is the sum of the 1st and 5th terms of the sequence?

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The width of a rectangle is \frac{3}{4} its length. The perimeter of the rectangle is 420 ft. What is the length, in feet, of the rectangle?

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1

Two functions are shown below.

f(x) = 3x^{2} + 14x - 5 g(x) = 11x + 13

Select the points at which the graphs of the two functions intersect.

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The table below shows the U.S. average life expectancy at birth, in years, in various decades.


What is the meaning of the slope of the linear best-fit equation for the data?

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The choices below are data sets. In the choices, w is a constant. Each choice has the same mean. Which choice has the greatest standard deviation?

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Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does Abby need to get on her fifth quiz to have an average of exactly 91 on her history quizzes?

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The perimeter of the triangle below is 8x - 6.


Which expression represents the length of \overline{QR}?

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What are the solutions to the equation 4x^{2} - 52x + 169 = 121?

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David has a rectangle and a right triangle.
  • The length of the rectangle is 5 more than its width, w.
  • The length of the shorter leg of the triangle is equal to the rectangle’s width.
  • The length of the longer leg of the triangle is twice the length of the rectangle.
Which function, f(w), represents the combined area of the rectangle and the triangle?

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The table below shows the number of hours 7 students studied for a math test and the grade each student earned on the test.


How does Amanda's test score compare to the score predicted using the linear best-fit model of data for a student who studied 3.50 hours?

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Place (click and drag) one option from each of the lists below into its corresponding box to create an equation of the line that passes through the point (1, -10) and is perpendicular to y = -\frac{1}{3}x + 5.
Other Answer Choices:
-\frac{1}{3}x
1
+
13
5
10
-\frac{1}{5}x
-
5x
3x
Required
1

Two functions are shown below.

f(x) = 3x + 7
g(x) = 2x + 12

What is the value of x where the graphs of f(x) and g(x) intersect?

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Marcus measured the height, in inches, y, of plants over the course of 3 weeks. The correlation coefficient between the number of days, x, and the height of the plants is 0.85. Which could be concluded based on the correlation coefficient of the data?

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A function is shown below.

g(x) = 19.60 + 1.74x

What is the value of g(30)?

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The table below shows the weights of 8 different bears at a zoo.


If the weight of the polar bear is removed, which statement is true?

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The vertices of a rectangle are located at (1, 2), (5, 0), (2, -6), and (-2, -4). What is the area of the rectangle?

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Select each situation that can be modeled with a linear function.

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What is the distance between the y-intercept of the function f(x) = 2x^{2} - 6x + 3 and the y-intercept of the linear function g represented by the table below?

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The table below displays the walking heart rate and running heart rate of eight girls in beats per minute (bpm).


Using the linear best-fit model for the data, what is the predicted running heart rate of a girl whose walking heart rate is 100 bpm?

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Place the data sets below into the appropriate rows in the table.
Other Answer Choices:
15, 25, 35, 45, 55, 65
15, 75, 85, 95, 105, 115
15, 25, 35, 45, 55, 115
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1

A rectangle has a perimeter of 64.

Let x equal the width of the rectangle.
Let y equal the area of the rectangle.

Which equation can be used to find the area of the rectangle?

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1

What is the midpoint of the longest side of the triangle with vertices (1, 4), (3, 4), and (3, 6)?

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The table below shows the hours, x, spent working on a new road and the distance, y, of finished road.


What is the slope of the line that fits these data?