Free Printable Algebra 1 Calculator Practice

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?

a)

b)

c)

d)

2.

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

a)

Domain: all real numbers greater or equal to - 37

Range: all real numbers

b)

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

Range: all real numbers

c)

Domain: all real numbers

Range: all real numbers greater or equal to - 37

d)

Domain: all real numbers

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

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?

a)

$0\le x\le8$

b)

$80\le y\le440$

c)

$0\le x\le10$

d)

$45\le y\le685$

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?

a)

b)

c)

d)

5.

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

a)

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

b)

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

c)

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

d)

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

6.

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

a)

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

b)

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

c)

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

d)

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

7.

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

a)

$y=0.25x+3$

b)

$y=0.25x-4.5$

c)

$y=4x+18$

d)

$y=4x-42$

8.

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

a)

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

b)

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

c)

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

9.

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

a)

$9x-2y=36$

b)

$9x-2y=26$

c)

$9x-2y=-40$

d)

$9x-2y=-10$

10.

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

a)

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

b)

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

c)

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

d)

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

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?

a)

$y=40x$

b)

$y=37.5x$

c)

$y=35x+20$

d)

$y=20x+35$

12.

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

a)

b)

c)

d)

13.

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

a)

b)

c)

d)

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?

a)

b)

c)

d)

15.

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

a)

b)

c)

d)

16.

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

a)

b)

c)

d)

17.

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

a)

b)

c)

d)

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?

a)

b)

c)

d)

19.

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

a)

b)

c)

d)

20.

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

a)

b)

c)

d)

21.

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

a)

b)

c)

d)

22.

The value of y varies directly with x. When the value of x is 4 , the value of y is - 12. What is the constant of variation when y is a function of x, and what the value of y when x = - 6?

The constant of variation is (a)

The value of y when x = - 6 is (b)

Choose from the below words

- 3

18

-18

-2

-1/3

1/3

2

3

23.

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?

a)

256

b)

32

c)

16

d)

8

24.

The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14. What is the value of y when x = 28?

25.

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?

a)

24

b)

17

c)

13

d)

37

26.

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

a)

$\frac{3}{5}$

b)

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

c)

$7$

d)

$15$

27.

The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?

28.

In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 ams produce across an identical resistor?

29.

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?

a)

b)

c)

d)

30.

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?

a)

b)

c)

d)

31.

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?

a)

b)

c)

d)

32.

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?

a)

b)

c)

d)

33.

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 $y=-\frac{4}{9}x+5$ ?

a)

b)

c)

d)

34.

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 $y=\frac{2}{5}x+2$ ?

a)

b)

c)

d)

35.

Which equation best represents the line shown on the grid?

a)

b)

c)

d)

36.

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

a)

b)

c)

d)

37.

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

a)

b)

c)

d)

38.

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

a)

$-\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{2}{3}$

d)

$-\frac{3}{2}$

39.

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

a)

$\frac{9}{2}$

b)

$\frac{7}{8}$

c)

$-\frac{9}{2}$

d)

$-\frac{7}{8}$

40.

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?

a)

$-\frac{8}{5}$

b)

$-\frac{5}{8}$

c)

$\frac{8}{5}$

d)

$\frac{5}{8}$

41.

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

a)

$-2$

b)

$-\frac{1}{2}$

c)

$7$

d)

$2$

42.

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

a)

$-2$

b)

$\frac{24}{5}$

c)

$-12$

d)

$\frac{5}{12}$

43.

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

a)

$-\frac{1}{13}$

b)

$\frac{5}{13}$

c)

$-13$

d)

$\frac{13}{9}$

44.

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?

a)

$-\frac{8}{5}$

b)

$-\frac{5}{8}$

c)

$\frac{5}{8}$

d)

$\frac{8}{5}$

45.

The altitude of an airplane is changing at a constant rate. The table shows a linear relationship between y, the altitude of the airplane in feet, and x, the time in minutes. Complete the statement that describes the rate of change of the altitude of the airplane with respect to time.

The altitude of the airplane (a) at a rate of (b) feet per minute.

Choose from the below words

decreases

3000

increases

-3000

12000

-12000

46.

The water level in a tank is changing at a constant rate. The graph shows the relationship between time in hours, x, and the water level in meters, y. Complete the statement that describes the rate of change of the water level with respect to time.

The water level (a) at a rate of (b) m/h.

Choose from the below words

decreases

0.25

increases

1

4

47.

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?

a)

$14$

b)

$\frac{1}{7}$

c)

$7$

d)

$\frac{1}{14}$

48.

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?

a)

The worker packed 8 items in boxes per minute.

b)

The worker packed 37 items in boxes per minute.

c)

The worker packed 4 items in boxes per minute.

d)

The worker packed 15 items in boxes per minute.

49.

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?

a)

$\frac{5}{2}$

b)

$-\frac{6}{5}$

c)

$\frac{2}{3}$

d)

$-\frac{5}{6}$

50.

The table shows the linear relationship between the distance in feet below sea level and the time in seconds traveled by a submarine. What is the rate of change of the distance in feet below sea level with respect to time that the submarine traveled?

51.

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?

a)

10

b)

17

c)

-10

d)

-17

52.

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?

a)

$\frac{7}{9}$

b)

$-\frac{7}{9}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

53.

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?

a)

$8.75

b)

$9.25

c)

$10.00

d)

$20.00

54.

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?

a)

14

b)

3

c)

7

d)

10

55.

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

56.

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

a)

$-\frac{9}{2}$

b)

$\frac{2}{9}$

c)

$-\frac{2}{9}$

d)

$\frac{9}{2}$

57.

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?

a)

$200$

b)

$\frac{1}{200}$

c)

$400$

d)

$\frac{1}{400}$

58.

The table shows the linear relationship between the balance of a student's savings account and the number of weeks he has been saving. Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week?

59.

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?

a)

-6.5

b)

-3.5

c)

-0.29

d)

-0.15

60.

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?

a)

$100

b)

$50

c)

$0.50

d)

$2

61.

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?

a)

$\frac{7}{100}$

b)

$\frac{1}{12}$

c)

$12$

d)

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

62.

Graph the line represented by the equation $2x+3y=6$

63.

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

a)

b)

c)

d)

64.

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?

a)

b)

c)

d)

65.

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

a)

b)

c)

d)

66.

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

a)

$2$

b)

$4$

c)

$-6$

d)

$-2$

67.

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

a)

b)

c)

d)

68.

A paper airplane was thrown for the top of a tall building. The height of the paper airplane above the ground can be found by using the function $y=-1.5x+60$ , where x is the time in seconds the airplane has been in the air. How many seconds did it take for the plane to reach the ground?

69.

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?

a)

b)

c)

d)

70.

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

a)

b)

c)

d)

71.

The graph of $f\left(x\right)=x$ is transformed to create the graph of $g\left(x\right)=\frac{1}{2}f\left(x\right)+3$ . Complete the statement to compare the graphs of f and g.

The graph of g is (a) the graph of f and has a y-intercept that is (b) that of f.

Choose from the below words

less steep than

greater than

more steep than

less than

72.

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?

a)

b)

c)

d)

73.

The graph of linear function h is shown on the grid. Given that f(x) = h and h(x) = af(x), what is the value of a?

74.

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?

a)

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

b)

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

c)

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

d)

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

75.

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?

a)

Strong negative

b)

Weak Negative

c)

Strong Positive

d)

Weak Positive

76.

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?

a)

Weak negative correlation, because

r = - 0.91

b)

Weak negative correlation, because

r = - 0.90

c)

Strong negative correlation because

r = - 0.91

d)

Strong negative correlation because

r = - 0.09

77.

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?

a)

Weak negative correlation

b)

Strong negative correlation

c)

Weak positive correlation

d)

Strong positive correlation

78.

The table shows the number of customers for each hour for an online sale. Which function best models the data in the table?

a)

b)

c)

d)

79.

A construction manager is monitoring the progress of the build of a new house. The scatterplot and table show the number of months since the start of the build and the percentage of the house still left to build. A linear function can be used to model this relationship. Which function best models the data?

a)

b)

c)

d)

80.

A company advertises on a website. A worker tracked the number of visits to the website and the number of clicks on the advertisement. The table shows the data for several days. A linear function can be used to model the data. Based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website?

a)

77

b)

137

c)

83

d)

105

81.

A zookeeper recorded the feeding schedule for a baby rhinoceros for 20 weeks. The table and scatterplot show the percentage of the baby rhinoceros's body mass that was used to determine the amount of food given at each feeding as a linear function of its age in weeks. What is the best prediction of the percentage of the baby rhinoceros's body mass that should be used to determine the amount of food given at each feeding when it is 25 weeks old?

a)

8.5%

b)

6%

c)

2.5%

d)

10%

82.

The scatterplot shows the monthly high temperatures for Austin, Texas, in degrees Fahrenheit over a 12 month period. Which function best models the data from Month 1 to Month 9?

a)

y = - 1.6x + 111

b)

y = 3.5x + 85

c)

y = 2.5x + 90

d)

y = -3.3x + 130

83.

What value of m makes the equation true?

$\frac{2}{3}\left(m-9\right)=\frac{1}{3}\left(m-27\right)$

a)

$-9$

b)

$-3$

c)

$-1$

d)

$-6$

84.

What is the solution to the equation?

$7w-2\left(w-9\right)=4-8\left(w+2\right)$

a)

$w=-\frac{26}{9}$

b)

$w=-\frac{10}{9}$

c)

$w=\frac{15}{3}$

d)

$w=-\frac{30}{13}$

85.

A rectangle has a length of (5 + 2x) inches and a width of 10 inches. A triangle has a base of 30 inches and a height of (4x - 10) inches. The area in square inches of the rectangle is equal to the area in square inches of the triangle. What is the value of x?

a)

2.5

b)

3

c)

7.5

d)

5

86.

What is the solution to the equation?

$5\left(2w+4\right)=4\left(2w+9\right)$

a)

$\frac{5}{2}$

b)

$8$

c)

$\frac{28}{9}$

d)

$5$

87.

What is the solution to this equation?

$2\left(40-5y\right)=10y+5\left(1-y\right)$

a)

7.5

b)

15

c)

5

d)

Not here

88.

What is the solution to this equation?

$-4\left(2m-7\right)=3\left(52-4m\right)$

a)

32

b)

46

c)

-6.4

d)

-40.75

89.

What is the solution?

$-\left(6m+8\right)=4\left(17-m\right)$

90.

What is the solution to the equation?

$34x+95=3\left(14x+9\right)$

91.

Which value of x makes the equation true?

$0.75\left(x+20\right)=2+0.5\left(x-2\right)$

a)

64

b)

-64

c)

56

d)

-56

92.

What is the solution?

$0.3\left(12x-16\right)=0.4\left(12-3x\right)$

a)

-2

b)

4

c)

2

d)

-4

93.

A function is shown. What is the value of g(20)?

$g\left(x\right)=6\left(2x+7\right)$

a)

167

b)

282

c)

324

d)

247

94.

A function is shown. What is the value of $f\left(-5\right)$ ?

a)

27

b)

-13

c)

-15

d)

140

95.

In a sequence of numbers, a₃ = 0, a₄ = 6, a₅ = 12, a₆ = 18, and a₇ = 24. Based on this information, which equation can be used to find the nth term in the sequence a_n?

a)

$a_n=-6n+18$

b)

$a_n=-18n+6$

c)

$a_n=6n-18$

d)

$a_n=18n-6$

96.

Which of the following is equivalent to $3x-4y=6$ ?

a)

$y=-\frac{6}{7}x$

b)

$y=-\frac{3}{4}x$

c)

$y=\frac{4}{3}x+2$

d)

$y=\frac{3}{4}x-\frac{3}{2}$

97.

Line n is shown on the coordinate grid. The table of ordered pairs represents some points on line p. Which system of equations is represented by lines n and p?

a)

b)

c)

d)

98.

The tables of ordered pairs represent some points on the graphs of two different lines. Which system of equations represents the graph of these two lines?

a)

b)

c)

d)

99.

A system of equations is graphed on the grid. Which system of equations is best represented by the graph?

a)

b)

c)

d)

100.

Which graph best represents the solution set of $x+2y\ge2$ ?

a)

b)

c)

d)

101.

Two customers purchased coffee and doughnuts at a coffee shop. Each cup of coffee costs the same amount, and each doughnut costs the same amount. The first customer paid $4.90 for 1 cup of coffee and 2 doughnuts. The second customer paid $8.60 for 2 cups of coffee and 3 doughnuts. What is the cost of 1 cup of coffee?

a)

$2.50

b)

$1.20

c)

$4.90

d)

$3.70

102.

A system of linear equations is shown. Which statement about the system is true?

a)

The system has one solution, (- 1, - 8).

b)

The system has one solution, (3, 4).

c)

The system has no solutions.

d)

The system has infinitely many solutions.

103.

A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer. Which expression represents the perimeter of the triangle in units?

a)

$\frac{15}{2}x$

b)

$\frac{47}{6}x$

c)

$\frac{13}{2}x+1$

d)

$\frac{13}{2}x+\frac{4}{3}$

104.

Which function is equivalent to $f\left(x\right)=6x^2-23x+21$ ?

a)

b)

c)

d)

105.

Which expression is a factor of $x^2+7x-30$ ?

a)

$x+15$

b)

$x-10$

c)

$x+5$

d)

$x-3$

106.

Choose two factors to create an expression equivalent to $4x^2-81$ . Put the factor with the minus sign first.

$4x^2-81=$ (a) (b)

Choose from the below words

(2x-9)

(2x+9)

(9x - 2)

(4x - 9)

(9x + 2)

(4x + 9)

107.

Which expression is equivalent to $7\sqrt[]{45}$ ?

a)

$12\ \sqrt[]{3}$

b)

$35\ \sqrt[]{3}$

c)

$10\ \sqrt[]{5}$

d)

$21\ \sqrt[]{5}$

108.

Which expression is equivalent to $\frac{1}{3}\left(6x^2y\right)^2\left(2x^3y^4\right)$ for all values of x and y where the expression is defined?

a)

$4x^7y^6$

b)

$24x^7y^6$

c)

$4x^{12}y^8$

d)

$24x^{12}y^8$

109.

Which expression is equivalent to $\frac{16k^9m^7}{4k^3m^{14}}$ for all values of k and m where the expression is defined?

a)

b)

c)

d)

110.

What is the range of the function $f\left(x\right)=-x^2+60x$ ?

a)

All real numbers that are greater than or equal to 0 and less than or equal to 30

b)

All real numbers that are greater than or equal to 0 and less than or equal to 60

c)

All reqal numbers that are greater than or equal to 900

d)

All real numbers that are less than or equal to 900

111.

Which expression is equivalent to $f\left(x\right)=4\left(x-3\right)^2+5$ ?

a)

b)

c)

d)

112.

The graph of quadratic function h is shown on the grid. Which function is best represented by the graph of h?

a)

b)

c)

d)

113.

Which graph best represents a quadratic function that has no real zeros?

a)

b)

c)

d)

114.

The quadratic function f(x) = x² is transformed to create g as shown in the graph. What is the equation for g?

a)

b)

c)

d)

115.

If f(x) = x², and g(x) = f(x + 7.2), what is the vertex of the graph of g?

a)

(7.2, 0)

b)

(- 7.2, 0)

c)

(0, 7.2)

d)

(0, - 7.2)

116.

Function g is defined by g(x) = 3x² - 2x - 5. What are the solutions to g(x) = 0?

a)

b)

c)

d)

117.

What are the solutions to the equation $5\left(x+3\right)^2=75$ ?

a)

b)

c)

d)

118.

If f(x) = 3x² - 7, what is the value of f(4)?

a)

29

b)

17

c)

41

d)

27

119.

The table represents some points on the graph of an exponential function. Which function represents the relation shown in the table?

a)

b)

c)

d)

Algebra 1 Calculator Practice

Total questions: 119

Worksheet time: 1hrs 22mins

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