Cumulative Exam Review/Test Alg 1 edg

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5xShop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental?

24

Consider the plot created from the residuals of a line of best fit for a set of data. Does the residual plot show that the line of best fit is appropriate for the data? Yes, the points have no pattern. No, the points are evenly distributed about the x-axis. No, the points are in a linear pattern. Yes, the points are in a curved pattern. https://media.edgenuity.com/evresources/3109/3109-11/3109-11-03/3109-11-03-assessment/3109-11-03-20.PNG

A

Four milliliters of ink A is added to 10 milliliters of ink B, forming a mixture of inks. Ink A contains 10% blue pigment. Ink B contains an unknown percentage of blue pigment. The mixture of the two inks contains 35% blue pigment. What percentage of blue pigment is in ink B? 45% 49% 60% 75%

A

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book. What are the slope and y-intercept of the line represented by the points shown in the table? slope: 2, y-intercept: -20 slope: 2, y-intercept: 10 slope: 5, y-intercept: -20 slope: 5, y-intercept: 10

A

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each. Dance World: y = 15xToe Tappers: y = 25 + 12.5x How many classes would Gina need to take for the total cost to be the same at both dance studios? 10 15 100 150

A

Heather writes the equations below to represent two lines drawn on the coordinate plane. -6x + 18y = 0 4x - 12y = 20 After applying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations? The equation has no solution; therefore, the system of equations has no solution. The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60). The equation has infinite solutions; therefore, the system of equation as infinite solutions. The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).

A

Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?

A

The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true? Each strawberry contains 4 calories. Each strawberry contains 3 calories. Twenty-four strawberries contain 6 calories. Four strawberries contain 15 calories.

A

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners? f(x) = 85(1 - 0.25)x f(x) = 85(1 + 0.25)x f(x) = 85(0.25)x f(x) = (85 - 0.25)x

A

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = -16x2 + 100 models the data in the table.For which value of x would this model make the least sense to use?

A

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground. A line of best fit for the data is represented by h = -21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table? According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground. According to the line of best fit, the object was dropped from a lower height. The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds. The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.

A

Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c. Which equation can be used to determine c, the unknown concentration?

A

What is the domain of the function f(x) = 3|x + 4| + 1? all real numbers all real numbers less than or equal to −4 all real numbers greater than or equal to 1 all real numbers greater than or equal to −4

A

What is the missing step in solving the inequality 4(x - 3) + 4 < 10 + 6x? 1. The distributive property: 4x - 12 + 4 < 10 + 6x2. Combine like terms: 4x - 8 < 10 + 6x3. The addition property of inequality: 4x < 18 + 6x4. The subtraction property of inequality: -2x < 18 5. The division property of inequality: ________

A

What is the multiplicative rate of change of the exponential function represented in the table? 1.5 2.25 3.0 4.5

A

What is the product? (5r − 4)(r2 − 6r + 4)

A

Which is the graph of f(x) = 2(3)x?

A

Which linear function represents the line given by the point-slope equation y + 7 = -(x + 6)? f(x) = -x - 11 f(x) = -x - 1 f(x) = -x + 3 f(x) = -x + 13

A

Which relationships could have a negative correlation? Select three options. number of hours on video games and test scores speed of a car and minimum stopping distance average running speed and total race time adult's head circumference and age outside temperature and amount of a heating bill

A,C,E

Fiona wrote the predicted and residual values for a data set using the line of best fit y=3.71x-8.85. Which statements are true about the table? Select three options. The data point for x = 1 is above the line of best fit. The residual value for x = 3 should be a positive number because the data point is above the line of best fit. Fiona made a subtraction error when she computed the residual value for x = 4. The residual value for x = 2 should be a positive number because the given point is above the line of best fit. The residual value for x = 3 is negative because the given point is below the line of best fit.

A,D,E

2x + 4y = 12 y = 1/4x - 3

B

A line of best fit is drawn for the set of points shown on the graph. Which point is an approximate extrapolation for x = 30 from the line of best fit? (23, 30) (30, 38) (44, 30) (30, 72)

B

An exponential growth function has an asymptote of y = -3. Which might have occurred in the original function to permit the range to include negative numbers? A whole number constant could have been added to the exponential expression. A whole number constant could have been subtracted from the exponential expression. A whole number constant could have been added to the exponent. A whole number constant could have been subtracted from the exponent.

B

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold. The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold. 2x + 3y = 1240 x = 2y - 10 How many of each type of ticket were sold? 180 food tickets and 293 ride tickets 180 food tickets and 350 ride tickets 293 food tickets and 180 ride tickets 350 food tickets and 180 ride tickets

B

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

B

How many solutions does this linear system have? y = x+ 2 6x - 4y = -10

B

Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off of the back of the bleachers. To the nearest tenth of a second, how much time would it take the penny to hit the ground? 0.5 seconds 0.6 seconds 0.7 seconds 0.8 seconds

B

Solve the equation. -x + 8 + 3x = x - 6 x = -18 x = -14 x = 2 x = 4

B

The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p. For each additional slice of pizza that is purchased, by how much does the total cost of lunch increase?

B

The graph represents the cost of catering a dinner as a function of the number of guests. What is the catering cost for a dinner with 40 guests? $400 $600 $700 $800

B

The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend. Which statement describes the amounts the team charged for wrapping gifts? The team charged $1 to wrap a gift with no bow and $2 to wrap a gift with a bow. The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow. The team charged $3 to wrap a gift with no bow and $4 to wrap a gift with a bow. The team charged $4 to wrap a gift with no bow and $5 to wrap a gift with a bow.

B

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal. What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years? $60 $80 $90 $100

B

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28. Which solution can be used to fill in both blanks in the table? (2, 5) (5, 2) (5, −8) (−8, 5)

B

The table shows a company's profit based on the number of pounds of food produced. Using the quadratic regression model, which is the best estimate of the profit when 350 pounds of food are produced? $5,150 $5,300 $10,150 $11,000

B

The variables X, Y, and Z represent polynomials where X = a, Y = 3a - 5, and Z = a2 + 2. What is X2Y - Z in simplest form? 2a2 - 5a - 2 3a3 - 6a2 - 2 -3a3 - 2 -3a2 - 2

B

The weight of Jacob's backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

B

What is the difference of the two polynomials? (7y2 + 6xy) - (-2xy + 3) 7y2 + 4xy - 3 7y2 + 8xy - 3 7y2 + 4xy + 3 7y2 + 8xy + 3

B

What is the product? 3 a (8 a minus 6 b) 24 a squared minus 6 b 24 a squared minus 6 a b 24 a squared minus 18 b squared 24 a squared minus 18 a b

B

What is the range of the function f(x) = -2|x + 1|? all real numbers all real numbers less than or equal to 0 all real numbers less than or equal to 1 all real numbers greater than or equal to 1

B

When a number is added to of itself, the result is 24. The equation that models this problem is n + n = 24. What is the value n? n = 18 n = 20 n = 21 n = 23

B

Which graph shows a function with a range of all real numbers greater than or equal to -1?

B

Which graph shows the solution to the system of linear inequalities? 2x - 3y <12 y < -3

B

Which linear function represents the line given by the point-slope equation y - 8 = 1/2(x - 4)?

B

Which statement is true about the graphed function f(x)? F(x) < 0 over the intervals (-∞, -2.5) and (-0.75, 0.75). F(x) > 0 over the intervals (-∞, -2.5) and (-0.75, 0.75). F(x) < 0 over the intervals ( -2.5, -0.75) and (-0.75, ∞). F(x) > 0 over the intervals ( -2.5, -0.75) and (0.75, ∞).

B

Which statements about the system are true? Select two options. y = x - 4 3y - x = -7 The system has one solution. The system consists of parallel lines. Both lines have the same slope. Both lines have the same y-intercept. The equations represent the same line.

B,C

The graph of g(x) is shown. Which statements describe the domain and range of g(x)? Select two options. The function g(x) is defined for all real numbers x. The maximum value of the range is 4. The maximum value of the domain is 3. The range of g(x) is {y| -1 < y ≤ 4}. The domain of g(x) is {x| -4 < x ≤ 3}.

B,D

A direct variation function contains the points (-9, -3) and (-12, -4). Which equation represents the function? y = -3x y = -x/3 y =x/3 y = 3x

C

Marlena created a table of values representing the height in feet, h(t), of a coconut falling to the hard ground with a height of 0 feet, collected over t seconds. Assume the coconut does not bounce. Which statement is true? The initial height of the coconut is 190 feet. The coconut will hit the ground between 4 and 5 seconds after it was dropped. The values of h(t) when t = 4 and 5 should be 0. The maximum height of the coconut was 1 second after it was dropped.

C

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below. 3x+ 2y= 36.502x+ 5y= 50.00

C

Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?

C

The quadratic model f(x) = -5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds? 2.45 3.16 5.48 7.07

C

Tickets to a school production cost $5 for a student ticket and $10 for an adult ticket. A total of 67 tickets were purchased at a cost of $440. Which value or expression could replace c in the table? 67 440 67 - a 440 - a

C

What is the solution (a, c) to this system of linear equations? 2a - 3c = -6 a + 2c = 11

C

What is the solution (a, c) to this system of linear equations? 2a - 3c = -6 a + 2c = 11 (3, -4) (3, 4)

C

Which graph represents the function y = 2x - 4?

C

Which interval for the graphed function contains the local minimum? [-1, 1] [1, 2] [-3, -1] [-5, -3]

C

Which is the best description of the graph of the function f(x) = 60(1/3)x?

D

Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x - 3 Only values that satisfy y > 3x + 1 are solutions. Only values that satisfy y < 3x - 3 are solutions. Values that satisfy either y > 3x + 1 or y < 3x - 3 are solutions. There are no solutions.

D

Wren recorded an outside temperature of -2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?

D

Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?

D

A ball is thrown straight up into the air. The height, in feet, h(t), of the ball collected over t seconds is shown in the table. Which statement is true? The initial height of the ball is 96 feet. The ball will hit the ground between 2 and 3 seconds after it was thrown. The maximum height of the ball must be 96 feet. The maximum height of the ball was 2.5 seconds after it was thrown.

D

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear? The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees. The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees. The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees. The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

D

According to the table, which ordered pair is a local minimum of the function, f(x)? (0, 9) (4, 105) (-1, 0) (2, -15)

D

Analyze the graph of the function f(x) to complete the statement. f(x)<0 over and what other interval?

D

Consider the equation v + 4 + v = 8. What is the resulting equation after the first step in the solution? v +4 = 8 - v v +4 = 8 4 + v = 8 - v 2v + 4 = 8

D

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x - 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 - 3x - 520. The variable x represents the number of skateboards sold. What expression represents the profit? 27x - 650 27x + 390 33x - 650 33x + 390

D

Sara wants to find the input value that produces the same output for the functions represented by the tables. What is the input value that produces the same output value in both charts? -2 -1 1 2

D

Shannon graphed the system of equations. 7x - 4y= -8 y = x - 3 What is the closest approximate solution to the system of equations? (-5, -7.2) (-5, -6.8) (-5, -6.2) (-5, -5.9)

D

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y=10+3.5xShop Dorian used: y=6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? Round to the nearest dollar if necessary. 3 4 14 24

D

The graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. Which statement about the domain and range of each function is correct? The range of the transformed function and the parent function are both all real numbers greater than or equal to 4. The domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. The range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. The domain of the transformed function and the parent function are both all real numbers.

D

The graph shows the relationship between the total cost and the number of erasers bought at the student store. Which statement is true? Each eraser costs $1.00. Each eraser costs $1.50. Three erasers cost $6. Seven erasers cost $3.50.

D

The polynomial 8x2 - 8x + 2 - 5 + x is simplified to 8x2 - gx - h. What are the value of g and h? g = -9 and h = 7 g = 9 and h = -3 g = -7 and h = 7 g = 7 and h = 3

D

The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x+5y>80. If Sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section? 1 2 7 8

D

The radius and circumference of several objects were measured. A 2-column table with 4 rows. The first column is labeled radius (inches) with entries 3, 4, 6, 9. The second column is labeled circumference (inches) with entries 18.8, 25.1, 37.7, 56.5. Which best describes the strength of the correlation, and what is true about the causation between the variables? It is a weak positive correlation, and it is not likely causal. It is a weak positive correlation, and it is likely causal. It is a strong positive correlation, and it is not likely causal. It is a strong positive correlation, and it is likely causal.

D

The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?

D

What is the difference of the polynomials? (5x3 + 4x2) - (6x2 - 2x - 9)

D

What is the solution to the linear equation? -12 + 3b - 1 = -5 - b

D

What is the vertex of the graph of f(x) = |x - 13| + 11? (-11, 13) (-13, 11) (11, 13) (13, 11)

D

Which function represents exponential growth? f(x) = 3x f(x) = x3 f(x) = x + 3 f(x) = 3x

D