Quiz about Algebra 1 Calculator Practice

Question 1

A swimming pool can be rented for $110 per hour. The pool can be rented for either 1 hour or 2 hours. The cost in dollars to rent the pool is a function of the number of hours the pool is rented. What are the domain and range of the function for this situation?

Accepted Answer

Question 2

What are the domain and range of $$f\left(x\right)=-37$$ ?

Accepted Answer

Domain: all real numbers

Range: $$\left\{-37\right\}$$

Answer

Domain: all real numbers greater or equal to - 37

Range: all real numbers

Answer

Domain: $$\left\{-37\right\}$$

Range: all real numbers

Answer

Domain: all real numbers

Range: all real numbers greater or equal to - 37

Question 3

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using alinear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the range of the function for this situation?

Accepted Answer

$$80\le y\le440$$

Answer

$$0\le x\le8$$

Answer

$$0\le x\le10$$

Answer

$$45\le y\le685$$

Question 4

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by $$f\left(x\right)=20x+4$$ . What is the range of the function for this situation?

Accepted Answer

Question 5

Two points are plotted on the grid. Which equation in slope-intercept form best represents the line that passes through these two points?

Accepted Answer

$$y=-\frac{10}{3}x-\frac{2}{3}$$

Answer

$$y=-\frac{2}{3}x-\frac{11}{3}$$

Answer

$$y=-\frac{11}{3}x-\frac{2}{3}$$

Answer

$$y=-\frac{2}{3}x-\frac{10}{3}$$

Question 6

What is the equation in slope-intercept form of the line that passes through (- 26, - 11) and (39, 34)?

Accepted Answer

$$y=\frac{9}{13}x+7$$

Answer

$$y=-\frac{9}{13}x+7$$

Answer

$$y=-\frac{9}{13}x-7$$

Answer

$$y=\frac{9}{13}x-7$$

Question 7

What is the equation in slope-intercept form that passes through the points (- 4, 2) and (12, 6)?

Accepted Answer

$$y=0.25x+3$$

Answer

$$y=0.25x-4.5$$

Answer

$$y=4x+18$$

Answer

$$y=4x-42$$

Question 8

What is the equation in slope-intercept form of the line that passes through the points (-4, 47) and (2, - 16)?

Accepted Answer

$$y=-\frac{21}{2}x+5$$

Answer

$$y=-\frac{21}{2}x+\frac{979}{21}$$

Answer

$$y=-\frac{2}{21}x+\frac{979}{21}$$

Question 9

Which equation in standard form has a graph that passes through the point (- 4, 2) and has a slope of $$\frac{9}{2}$$ ?

Accepted Answer

$$9x-2y=-40$$

Answer

$$9x-2y=36$$

Answer

$$9x-2y=26$$

Answer

$$9x-2y=-10$$

Question 10

The graph of a linear function is shown. Which function best represents the relationship shown in the graph?

Accepted Answer

$$y=-\frac{5}{3}x-5$$

Answer

$$y=-\frac{3}{5}x-5$$

Answer

$$y=-\frac{3}{5}x-3$$

Answer

$$y=-\frac{5}{3}x-3$$

Question 11

The total cost, y, for x tickets to a concert includes a flat feel for processing and a cost per ticket. One customer purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300. Which linear equation represents the total cost in dollars, y, for x tickets?

Accepted Answer

$$y=35x+20$$

Answer

$$y=40x$$

Answer

$$y=37.5x$$

Answer

$$y=20x+35$$

Question 12

The table represents some points of a graph of a linear function. Which function represents this relationship?

Accepted Answer

Question 13

The graph of a linear equation is shown on the grid. Which equation is best represented by this graph?

Accepted Answer

Question 14

The conversion of degrees Celsius to degrees Fahrenheit can be represented by a linear relationship. The graph shows the linear relationship between y, the temperature in degrees Farenheit, and x, the temperature in degrees Celsius from the freezing point of water. Which equation best represents this situation?

Accepted Answer

Question 15

The graph of a linear function is shown on the grid. Which function is best represented by this graph?

Accepted Answer

Question 16

The table represents some points on the graph of linear function f. Which function represents f?

Accepted Answer

Question 17

The graph of a linear function is shown on the grid. Which equation is best represented by the graph?

Accepted Answer

Question 18

The table shows the amoung of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed. Based on the table, which function models this situation?

Accepted Answer

Question 19

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

Accepted Answer

Question 20

The table represents some points on the graph of a linear function. Which equation represents the same relationship?

Accepted Answer

Question 21

The table represents some points on the graph of a linear function. Which function represents the same relationship?

Accepted Answer

Question 22

The value of y is directly proportional to the value of x. When x = 512, y = 128. What is the value of y when

x = 64?

Accepted Answer

16

Answer

256

Answer

32

Answer

8

Question 23

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

Accepted Answer

17

Answer

24

Answer

13

Answer

37

Question 24

The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?

Accepted Answer

$$15$$

Answer

$$\frac{3}{5}$$

Answer

$$1\ \frac{2}{3}$$

Answer

$$7$$

Question 25

The graph shows point W and line p. Which equation best represents the point-slope form of the line that passes through point W and is parallel to line p?

Accepted Answer

Question 26

The graph shows point P and line m. Which equation best represents the slope-intercept form of the line that passes through point P and is parallel to line m?

Accepted Answer

Question 27

What is the equation in standard form of the line that passes through (6, - 1) and is parallel to the line represented by 8x + 3y = 15?

Accepted Answer

Question 28

What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x + 3.8?

Accepted Answer

Question 29

What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by $$y=-\frac{4}{9}x+5$$ ?

Accepted Answer

Question 30

What is the equation in slope-intercept form of the line that passes through the point (2, - 2) and is perpendicular to the line represented by $$y=\frac{2}{5}x+2$$ ?

Accepted Answer

Question 31

Which equation best represents the line shown on the grid?

Accepted Answer

Question 32

What are the equation and slope of the line shown on the grid?

Accepted Answer

Question 33

What is the equation of the line that passes through the point (- 2, 7) and has a slope of zero?

Accepted Answer

Question 34

A line contains the points (- 2, - 2) and (4, 2). What is the slope of the line?

Accepted Answer

$$\frac{2}{3}$$

Answer

$$-\frac{2}{3}$$

Answer

$$\frac{3}{2}$$

Answer

$$-\frac{3}{2}$$

Question 35

The graph of a line contains the points (- 3, 1) and (5, 8). What is the slope of the line?

Accepted Answer

$$\frac{7}{8}$$

Answer

$$\frac{9}{2}$$

Answer

$$-\frac{9}{2}$$

Answer

$$-\frac{7}{8}$$

Question 36

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

Accepted Answer

$$-\frac{8}{5}$$

Answer

$$-\frac{5}{8}$$

Answer

$$\frac{8}{5}$$

Answer

$$\frac{5}{8}$$

Question 37

What is the slope of the line that passes through the points (5, - 11) and (- 9, 17)?

Accepted Answer

$$-2$$

Answer

$$-\frac{1}{2}$$

Answer

$$7$$

Answer

$$2$$

Question 38

What is the slope of the line represented by 5x - 12y = 24?

Accepted Answer

$$\frac{5}{12}$$

Answer

$$-2$$

Answer

$$\frac{24}{5}$$

Answer

$$-12$$

Question 39

What is the slope of the line that passes through the points (26, 7) and (- 39, 12)?

Accepted Answer

$$-\frac{1}{13}$$

Answer

$$\frac{5}{13}$$

Answer

$$-13$$

Answer

$$\frac{13}{9}$$

Question 40

The graph of a line is represented by the equation 5x - 8y = 40. Whcih value represents the rate of change of y with respect to x for the equation?

Accepted Answer

$$\frac{5}{8}$$

Answer

$$-\frac{8}{5}$$

Answer

$$-\frac{5}{8}$$

Answer

$$\frac{8}{5}$$

Question 41

A construction worker built steps up to a home. The table shows the linear between the height off the ground in inches and the number of steps. What is the rate of change of height off the ground with respect to the number of steps?

Accepted Answer

$$7$$

Answer

$$14$$

Answer

$$\frac{1}{7}$$

Answer

$$\frac{1}{14}$$

Question 42

A worker is packing items in boxes. The table shows the linear relationships between the number of items the worker has packed in boxes after different amounts of time. Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?

Accepted Answer

The worker packed 4 items in boxes per minute.

Answer

The worker packed 8 items in boxes per minute.

Answer

The worker packed 37 items in boxes per minute.

Answer

The worker packed 15 items in boxes per minute.

Question 43

The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. What is the rate of change of y with respect to x for this line?

Accepted Answer

$$-\frac{5}{6}$$

Answer

$$\frac{5}{2}$$

Answer

$$-\frac{6}{5}$$

Answer

$$\frac{2}{3}$$

Question 44

The values in the table represent a linear relationship between x and y. What is the rate of change of y with respect to x?

Accepted Answer

10

Answer

17

Answer

-10

Answer

-17

Question 45

The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for the function?

Accepted Answer

$$-\frac{3}{4}$$

Answer

$$\frac{7}{9}$$

Answer

$$-\frac{7}{9}$$

Answer

$$\frac{3}{4}$$

Question 46

A contractor's total earnings from a job include a fixed amount plus an amount based on the number of hours worked. The table represents the linear relationship between the number of hours worked and the contractor's total earning in dollars. What is the rate of change of the contractor's total earnings in dollars with respect to the number of hours worked?

Accepted Answer

$8.75

Answer

$9.25

Answer

$10.00

Answer

$20.00

Question 47

The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted. What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?

Accepted Answer

7

Answer

14

Answer

3

Answer

10

Question 48

The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?

Accepted Answer

$$-\frac{9}{2}$$

Answer

$$\frac{2}{9}$$

Answer

$$-\frac{2}{9}$$

Answer

$$\frac{9}{2}$$

Question 49

The graph shows the linear relationship between the maximum area in square feet that can be painted and the number of gallons of paint used. Which of these best represents the rate of change of the maximum area painted with respect to the number of gallons of paint used?

Accepted Answer

$$400$$

Answer

$$200$$

Answer

$$\frac{1}{200}$$

Answer

$$\frac{1}{400}$$

Question 50

The graph models the linear relationship between the temperature of the Earth's atmosphere and the altitude above sea level. Which of these best represents the rate of change of the temperature with respect to altitude?

Accepted Answer

-6.5

Answer

-3.5

Answer

-0.29

Answer

-0.15

Question 51

A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?

Accepted Answer

$100

Answer

$50

Answer

$0.50

Answer

$2

Question 52

The graphs shows how the volume of a gas sample changes as the temperature changes and the pressure remains constant. Which of these best represents the rate of change in the volume of the gas sample with respect to the temperature?

Accepted Answer

$$\frac{1}{12}$$

Answer

$$\frac{7}{100}$$

Answer

$$12$$

Answer

$$22\ \frac{2}{5}$$

Question 53

Which graph best represents $$y=-4\left(x+3\right)-2$$ ?

Accepted Answer

Question 54

The graph of linear function g passes through the points $$\left(-7,-4\right)\ and\ \left(7,6\right)$$ as shown. What are the slope and y-intercept of the graph of g?

Accepted Answer

Question 55

Which graph best represents $$-5y=-6x+15$$

Accepted Answer

Question 56

The graph of linear function f passes through the point (1, - 9) and has a slope of - 3. What is the zero of f?

Accepted Answer

$$-2$$

Answer

$$2$$

Answer

$$4$$

Answer

$$-6$$

Question 57

The graph of linear function k passes through the points (- 7, 0) and (1, 8). Which statement must be true?

Accepted Answer

Question 58

A lifeguard earns $320 per week for working 40 hours plus $12 per hour worked over 40 hours. A lifeguard can work a maximum of 60 hours per week. Which graph best represents the lifeguard's weekly earnings in dollars for working h hours over 40?

Accepted Answer

Question 59

Which graph represents $$-3x+5y=-15$$ ?

Accepted Answer

Question 60

The graph of the function $$f\left(x\right)=x$$ is transformed to form function $$g\left(x\right)$$ such that $$g\left(x\right)=3f\left(x\right)$$ . Which graph represents f and g?

Accepted Answer

Question 61

A student graphed f(x) = x and g(x) = f(x) + 3 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

Accepted Answer

The graph of f is shifted 3 units up to create the graph of g.

Answer

The graph of f is steeper than the graph of g.

Answer

The graph of f is shifted 3 units down to create the graph of g.

Answer

The graph of f is less steep than the graph of g.

Question 62

A counselor asked college students who had jobs how many hours they worked each week. The counselor then compared the number of hours each student worked and the student's overall grade average. The table shows the data. Based on the correlation coefficient for the data, what type of linear association exists between hours worked and overall grade average?

Accepted Answer

Strong negative

Answer

Weak Negative

Answer

Strong Positive

Answer

Weak Positive

Question 63

The table shows the number of species added to the United States endangered species list each year for several years. A linear function an be used to model the data. Which correlation best describes the strength of the linear association between the number of species added to the United States endangered species list and the year?

Accepted Answer

Weak negative correlation, because

r = - 0.90

Answer

Weak negative correlation, because

r = - 0.91

Answer

Strong negative correlation because

r = - 0.91

Answer

Strong negative correlation because

r = - 0.09

Question 64

The table shows the heights and the lengths of several rectangles. What does the correlation coefficient for the data indicate about the strength of the linear association between the height and the length of these rectangles?

Accepted Answer

Weak positive correlation

Answer

Weak negative correlation

Answer

Strong negative correlation

Answer

Strong positive correlation

Algebra 1 Calculator Practice

119 questions

A swimming pool can be rented for $110 per hour. The pool can be rented for either 1 hour or 2 hours. The cost in dollars to rent the pool is a function of the number of hours the pool is rented. What are the domain and range of the function for this situation?

Two points are plotted on the grid. Which equation in slope-intercept form best represents the line that passes through these two points?

What is the equation in slope-intercept form of the line that passes through (- 26, - 11) and (39, 34)?

What is the equation in slope-intercept form that passes through the points (- 4, 2) and (12, 6)?

What is the equation in slope-intercept form of the line that passes through the points (-4, 47) and (2, - 16)?

The graph of a linear function is shown. Which function best represents the relationship shown in the graph?

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