Free Printable 25-26 Alg1 Fall Semester Review

Worksheets

25-26 Alg1 Fall Semester Review

Total questions: 89

Worksheet time: 5hrs 43mins

Name

Class

Date

Which step is incorrect?

120 = -4(7a+2)

Step 1: 120 = -28a - 8

Step 2: 112 = -28a

Step 3: a=-4

Problem is correct

step 1

step 2

step 3

The solution to $-7-5k-7k=-7\left(2k+6\right)+3\left(1+6k\right)$ is (a) .

What is the solution to this equation?

$-4\left(3x+6\right)=-8\left(1+x\right)$

-4

-6

What is the solution to $-\left(x-6\right)=-\left(2x+3\right)$ ?

(a)

Cassie has a budget of $100 to spend on pens and paper. The pens costs $10 per package and the paper costs $15 each. If she plans on buying 4 packages of pens, how much paper can she buy?

6 packages

5 packages

3 packages

4 packages

What is the solution set of $-7m+15\ge4+8m-4m$ ?

m ≤ 6

m ≥ 6

m ≥ 1

m ≤ 1

What inequality is graphed here?

x ≤ -2

x < -2

x > -2

x ≥ -2

-2x + 3(-4x + 6) ≤116 is equivalent to (a)

Which graph represents the inequality 2x - 3 < - 7

10.

Solve for t.
D= rt

D/r = t

Dr = t

D/t = r

Dt = r

11.

What should we do first to solve for x?
y=mx+b

Add

Subtract

Multiply

Divide

12.

Solve -2 = 4r + s for s.

s = -2 + 4r

s = 2 - 4r

s = -2 - 4r

s = 2 + 4r

13.

Solve for x:
ax - b = c + d

x = a(c + d + b)

x = (c + d) / (a-b)

x = a / (c + b + d)

x= (c + b + d)/a

14.

3(2x+1)+2(x-4)

8x-3

8x+11

4x-5

8x-5

15.

Simplify: -7 + 3(x - 8) - 8x + 3

16.

Simplify the expression.

$\frac{15x^2-12x+9}{3}$

17.

Divide:

$\frac{9x^2+6x}{3x}$

18.

Simplify:

(4x² + 6x - 3) - (2x² - 4x + 5)

19.

Simplify:

(5x² - 3x + 4) + (2x² + 7x - 8)

20.

-4(8r + 3)

21.

Determine the domain of the relation shown in the graph.

Do not type spaces.

(a)

22.

Determine the range of the relation shown in the graph.

Do not type spaces.

(a)

23.

Determine the domain of the relation shown.

{(-3, 6), (-2, 3), (0, -4), (5, -5), (5, 4)}

Do not type spaces.

(a)

24.

Determine the range of the relation shown.

{(-3, 6), (-2, 3), (0, -4), (5, -5), (5, 4)}

Do not type spaces.

(a)

25.

Determine the domain of the relation shown in the graph.

Do not type spaces.

(a)

26.

Determine the range of the relation shown in the graph.

Do not type spaces.

(a)

27.

Determine the domain of the relation shown in the graph.

Do not type spaces.

(a)

28.

Determine the range of the relation shown in the graph.

Do not type spaces.

(a)

29.

Determine the domain of the relation shown in the graph.

Do not type spaces.

(a)

30.

Determine the range of the relation shown in the graph.

Do not type spaces.

(a)

31.

Determine the domain of the relation shown in the graph.

Do not type spaces.

(a)

32.

Determine the range of the relation shown in the graph.

Do not type spaces.

(a)

33.

Determine if the relation shown is a function. State why or why not.

No, because it fails the vertical line test.

No, because it passes the vertical line test.

Yes, because it passes the vertical line test.

Yes, because it fails the vertical line test.

34.

Determine if the relation shown is a function. State why or why not.

Yes, because each input has exactly one output.

No, because some inputs have more than one output.

Yes, because all outputs are unique.

No, because all inputs are the same.

35.

Evaluate the function for the given value.

f(x) = -4x - 2; Find f(-2)

-10

-6

36.

Evaluate the function for the given value.

f(x) = 2x - 6; Find f(3)

-6

37.

Evaluate the function at h(-5).

38.

$x$ is (a) 14

Choose from the below words

$\le$

\ge

<

>

=

39.

What is the slope of the function shown?

3x - 4y = 8

3/4

4/3

-2

8/3

40.

Graph the linear equation shown.

2x - 6y = 6

41.

Graph the given equation.

y - 4 = 2(x + 3)

42.

Which graph best represents y = -4(x + 3) - 2?

43.

Linear function k has a zero of -2 and a y-intercept of 6. Which graph best represents k?

Hint - remember that zero is another name for x-intercept.*

44.

The graph of this line has a slope of (a) and a y-intercept of (b)

Choose from the below words

$-\frac{2}{3}$

3.5

$\frac{2}{3}$

$-\frac{3}{2}$

-13

-1

-3

45.

Which point below is NOT part of the solution set?

(0, 0)

(-10, -10)

(-1, 5)

(5, 20)

46.

Consider the function y < 2x+3. Which is true?

The line would be solid with shading above.

The line would be dashed with shading above.

The line would be solid with shading below.

The line would be dashed with shading below.

47.

Which graph best matches the inequality $y\le\frac{7}{3}x-2$ ?

48.

Which of the following is "NOT" a solution for the inequality?

y ≤ 5x - 1

(0, -3)

(5, 24)

(-2, -15)

(1, 7)

49.

Which of the following is the graph of

3x - 2y < 10

50.

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

Translation left 2 units

Translation right 2 units

Vertical translation up by 2 units.

Reflection across the x-axis.

51.

A student graphed f(x) = x and g(x) = ⅓f(x). Which statement is true?

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

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

The graph of f is shifted 2 units up to create the graph of g.

The graph of f is shifted 2 units to the right to create the graph of g.

52.

If the graph of the parent function f(x) = x is shifted 7 units
down, which of the following equations would the new graphed
line represent?

f(x) = 7x

f(x) = x - 7

f(x) = x + 7

f(x) = 7x - 7

53.

Describe the transformation from the parent function: y = 3x + 5

Steeper; Shift up 5 units

Steeper; Shift down 5 units

Flatter; Shift up 5 units

Flatter; Shift down 5 units

54.

Determine the slope between the points (14, -9) and (18, -10).

55.

Determine the slope of the equation 7x + 5y = -15.

56.

The table shows the linear relationship between the distance in feet below sea level and the time in seconds traveled by a submarine.

The distance below sea level of the submarine (a) at a rate of (b) feet per second.

Choose from the below words

increases

decreases

1/8

1/6

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.

The area painted (a) at a rate of (b) square feet per gallon.

Choose from the below words

increases

decreases

400

200

1/200

1/400

58.

The table shows a linear relationship between x and y.

What is the rate of change of y with respect to x?

59.

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?

60.

Categorize the functions by their rate of change.

Categorize the following

2/3

1/4

61.

What is the equation of the line that passes through the point (1, -1) and has a slope of -6?

Write your answer in slope-intercept form.

62.

What is the equation of the line that passes through the points (-3, 4) and (-4, -5)?

Write your answer in slope-intercept form.

63.

What is the equation of the line shown in the graph?

Write your answer in slope-intercept form.

64.

What is the equation of the line represented by the given table?

Write your answer in slope-intercept form.

65.

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes.

Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?

y = 8x + 6

y = 8x

y = 8x - 2

y = 6x

66.

The graph of a linear function is shown on the grid.

Which equation is best represented by the graph?

y + 7 = -3(x - 4)

y + 1 = -3(x + 2)

y - 4 = 3(x + 7)

y - 2 = 3(x - 1)

67.

Researchers in Antartica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450 m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate 0.06 m per day.

Which function can be used to find the thickness of the ice shelf in meters x days since the discovery?

t(x) = 450 - 0.06x

t(x) = -0.06(x + 450)

t(x) = 450 + 0.06x

t(x) = 0.06(x + 450)

68.

The table represents some points on the graph of a linear function.

Which function represents the same relationship?

h(x) = -3x - 10.5

h(x) = -x - 3.5

h(x) = 3x - 10.5

h(x) = x - 3.5

69.

The width of a picture frame is directly proportional to the height of the frame. Originally, the picture frame is 1 inch wide and 4 inches tall. How wide will the frame be if the height is 16 inches?

(a)

70.

The amount of money you make in a week is varies directly with the number of hours worked. If you work 40 hours in a week to make $800, how much will you make in a week if you work for 60 hours?

(a)

71.

Heather's weekly pay is directly proportional to the number of hours she works at the record store. Her pay is $174 for 24 hours of work. Find the amount of pay for 40 hours of work.

(a)

72.

A part of linear function g is graphed on the grid.

Which inequalities best describe the domain and range of the part shown?

Domain: -1 ≤ x ≤ 3

Range: -5 ≤ g(x) ≤ 3

Domain: -5 ≤ x ≤ 3

Range: -1 ≤ g(x) ≤ 3

Domain: -1 < x < 3

Range: -5 < g(x) < 3

Domain: -5 < x < 3

Range: -1 < g(x) < 3

73.

Which graph best represents a function with a domain of all real numbers greater than or equal to 4?

74.

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.

Which answer choice best describes the domain and range of the function for this situation?

Domain: All real numbers greater than or equal to 0 and less than or equal to 100.

Range: All real numbers greater than or equal to 0 and less than or equal to 50.

Domain: {-2}

Range: {100}

Domain: All real numbers greater than or equal to 0 and less than or equal to 50.

Range: All real numbers greater than or equal to 0 and less than or equal to 100.

Domain: {100}

Range: {-2}

75.

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.

1) Each black-and-white copy cost $0.08.

2) Each color copy cost $0.15.

Which system of equations can be used to find b, the number of black-and-white copies and c, the number of color copies that the customer paid for at the print shop?

b + c = 6.00

0.08b + 0.15c = 68

b + c = 68

0.15b + 0.08c = 6.00

b + c = 6.00

0.15b + 0.08c = 68

b + c = 68

0.08b + 0.15c = 6.00

76.

A system of equations is graphed on the grid.

Which system of equations does the graph represent?

y = -x - 4

y = 2x - 2

y = -x + 4

y = 2x - 4

y = x - 4

y = -2x - 2

y = x + 4

y = -2x - 4

77.

The table of ordered pairs represent some points on the graphs of lines q and v.

Which system of equations is represented by lines q and v?

21x - y = 9

5x + 6y = 40

3x - y = -27

x + 2y = 16

21x - y = 9

5x + 6y = 20

9x - y = -27

x + 2y = 8

78.

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85.

Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

0.10q + 0.25d = 2.85

q + d = 18

0.10q + 0.25d = 18

q + d = 2.85

0.25q + 0.10d = 2.85

q + d = 18

0.25q + 0.10d = 18

q + d = 2.85

79.

The graphs of lines $k_1$ and $k_2$ are shown on the grid.

Which systems of equations is best represented by this graph?

3x - y = 2

4x + 9y = 36

3x - y = 6

4x + 9y = 4

x - 3y = -18

9x + 4y = 9

x + y = 10

9x + 4y = 13

80.

What is the solution?

(1, -1)

(-1, 1)

(0, -2)

(2, 0)

81.

What are the inequalities for this system of inequalities?

$y<-\frac{1}{2}x+3$

$y<3x-4$

$y<-2x+3$

$y<\frac{1}{3}x-4$

82.

What are the inequalities for this system of inequalities?

$y<x-2$

$y\ge-3x+2$

$y\ge-1x-2$

$y\ge-\frac{1}{3}x+2$

83.

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

84.

Solve the system of equations by graphing.

(2, -5)

(2, 5)

(4, -6)

(-2, -3)

85.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Sugar Cookies $5
Oatmeal Cookies $3

Sugar Cookies $4
Oatmeal Cookies $8

Sugar Cookies $2
Oatmeal Cookies $6

Sugar Cookies $3
Oatmeal Cookies $6

86.

Solve the system of equations.

-x + y = -13

-8x - 4y = -8

(5, 8)

(5, -8)

(-5, -18)

(-5, 8)

87.

Which graph best represents a system of equations that has no solution?

88.

Which of the following is not a solution to this system of inequalities?

(0,-1)

(0,3)

(4,0)

(6,-2)

89.

Which ordered pair(s) is a solution to the given system?

(5, -5)

(0,0)

(-5, -2)

(3,-3)

Reset

25-26 Alg1 Fall Semester Review

Total questions: 89

Worksheet time: 5hrs 43mins

Simplify:

(4x² + 6x - 3) - (2x² - 4x + 5)

Simplify:

(5x² - 3x + 4) + (2x² + 7x - 8)

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