Free Printable U7 Milestone EOC Review (Algebra 1)

1.

[START Expressions & Polynomial Operations] Write the expression: nine more than a number

a)

9x

b)

9 - x

c)

9 + x

d)

9 + 9

2.

Write the expression: the difference of five and a number

a)

5 - m

b)

5/m

c)

5 + m

d)

5 - 5

3.

Write the expression: seven divided by a number

a)

7/n

b)

n/7

c)

49/7

d)

n/n

4.

Write the expression: the product of a number and twelve

a)

x/12

b)

x - 12

c)

12 + x

d)

12x

5.

Write the expression: half of a number

a)

x / y

b)

2 / x

c)

2x

d)

x / 2

6.

Solve: 5³

a)

25

b)

125

c)

15

d)

243

7.

Solve: 7²

a)

14

b)

128

c)

49

d)

72

8.

Evaluate the expression: 5m when m=8

a)

58

b)

13

c)

85

d)

40

9.

Evaluate the expression: 8 + g when g=28

a)

36

b)

288

c)

20

d)

828

10.

Simplify this expression: 8c + 9(c + 2)

a)

17c + 16

b)

8c + 16

c)

17c + 2

d)

17c + 18

11.

Simplify this expression: (2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

12.

Find the product: (x + 7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

13.

[END Expressions & Polynomial Operations] Simplify the expression: -3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

14.

[START Rational and Irrational Simplifying and Operations] The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

15.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a ratio.

c)

A rational number cannot be a repeating decimal.

16.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

17.

Which number is a rational number ?

a)

1/4

b)

π

c)

√3

d)

∛25

18.

[END Rational and Irrational Simplifying and Operations] √121

a)

12

b)

10

c)

11

d)

3

19.

[START Solving Equations and Inequalities] Solve the equation: 4x + 2(x - 6) = 12

a)

x = 6

b)

x = 4

c)

x = 2

d)

x = -2

20.

Solve the equation: 5x + 34 = -2(-7x + 1)

a)

x = -4

b)

x = 9

c)

x = 4

d)

x = 36/19

21.

Solve the inequality: x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

22.

Solve the inequality: 5(6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

23.

Select the correct inequality: You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

24.

Select the correct inequality: You can spend no more than 20 dollars on your mom's birthday present.

a)

x > 20

b)

x < 20

c)

x ≤ 20

d)

x ≥ 20

25.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

26.

Solve the inequality: -4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

27.

[DELETE 4-18-2022] What inequality does the number line graph represent?

a)

x < 2

b)

x > 2

c)

x ≥ 2

d)

x ≤ 2

28.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

29.

Solve the inequality: 2x + 6 > 12

a)

x > 9

b)

x > 3

c)

x < 9

d)

x < 3

30.

Solve the inequality: 8m - 9 > 71

a)

m > 10

b)

m > 1

c)

m < 1

d)

m > -48

31.

Solve the equation: 3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

32.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

a)

331 = 7x+6

b)

331 = 13x

c)

331 = 6x+7

d)

331 - 7 = 6x

33.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

a)

50 + 20m = 290

b)

20 + 50m = 290

c)

50 + 20 = m

d)

50m - 20 = 290

34.

[END Solving Equations and Inequalities] Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. How many months has he been a member at the gym?

a)

12

b)

17

c)

64.5

d)

15

35.

[END Solving Equations and Inequalities] [DELETE 04-18-2022] Write an equation to represent this word problem.

a)

5 + 4e = 25

b)

5 = 4e + 25

c)

5 + 4 + 25

d)

4 - 4e = 25

36.

[START Graphing Linear Functions and Characteristics] What is the slope of the equation? y = -2x - 1

a)

2

b)

-2

c)

-1

d)

1

37.

y = 1/2x - 1

a)

slope: 1/2, y-intercept: -1

b)

slope: 2/1, y-intercept: -1

c)

slope: 3, y-intercept: -3

d)

slope: 2, y-intercept: 5

38.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

39.

A y-intercept is where the line ________.

a)

begins

b)

crosses the x-axis

c)

crosses the y-axis

d)

ends

40.

When you graph a line using slope-intercept form, you plot the ___________ first and then the ___________.

a)

origin; slope

b)

slope; y-intercept

c)

y-intercept; x-intercept

d)

y-intercept; slope

41.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

42.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

43.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=(-1/3)x-1

d)

y= -3x-3

44.

[DELETE 04-18-2022] Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

45.

[END Graphing Linear Functions and Characteristics] Solve for y: y + 2 = 3x

a)

y = 2x + 3

b)

y= 3x +2

c)

y= 3x -2

d)

y= 6x

46.

[START Solving Systems of Equations and Inequalities QZ HW U2L20] A system of linear equations is...

a)

Math Magic

b)

One Equation

c)

Always more than 2 equations

d)

A set of 2 or more equations

47.

What are the BEST 3 methods for solving systems of linear equations?

a)

Elimination

b)

Substitution

c)

Graphing (Powered by Desmos)

d)

I Do Not Know

48.

How can you tell if a point is a solution to a system?

a)

It makes the first equation true.

b)

The (x,y) coordinates satisfy both equations

c)

It makes logical sense

d)

It makes neither equation negative

49.

Determine if (4, 1) is a solution for the system of equations: y = -x + 5, y = 2x - 7

a)

yes

b)

no

50.

What is the solution for the system of equations?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

51.

Solve this system of equations: 3x + 2y = 16, 7x + y = 19

a)

(-2, 5)

b)

(-2, -5)

c)

(2, -5)

d)

(2, 5)

52.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

53.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

54.

[START Solving Systems of Equations and Inequalities QZ HW U2L21] A system of two intersecting lines will have how many solutions?

a)

One Solution

b)

Two Solutions

c)

No Solution

d)

Infinite Solutions

55.

A system of two parallel lines will have how many solutions?

a)

One Solution

b)

Two Solutions

c)

No Solution

d)

Infinite Solutions

56.

[DELETE 04-18-2022] What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

57.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15
4x + 2y = 44

b)

4x + 2y = 15
x + y = 44

c)

x = 2y + 44
4x = y + 15

d)

2x - 4y = 44
x - y = 15

58.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

59.

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? Let "c" represent the # of people who ordered chicken and "s" represent those who ordered steak.

a)

c + s = 6
14.80c + 17s = 91

b)

c + s = 91
14.80c + 17s = 6

c)

c + s = 6
14.80s + 17c = 91

d)

c + s = 91
14.80s+ 17c = 6

60.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

1.5x + 0.5y = 78.5, x + y = 87

b)

1.5x + 0.5y = 78.5, 1.5x + 0.5y = 87

c)

x + y =78.5, 1.5x + 0.5y = 87

d)

x + y = 78.5, x + y = 87

61.

What is the solution to this system of equations?

a)

(1,4)

b)

(4,1)

c)

(3,5)

d)

(-1, 4)

62.

How may solutions does this graph have?

a)

None

b)

1

c)

3

d)

Infinitely many

63.

[DELETE 04-18-2022] What are the two equations given the following statement: The sum of two numbers is 24 and their difference is 2.

a)

$x+y=24,\ \frac{x}{y}=2$

b)

$x-y=24,\ x+y=2$

c)

$x+y=24,\ x-y=2$

d)

$x\times y=24,\ \frac{x}{y}=2$

64.

When we add two numbers, x, and y, we get 14. When we subtract the two numbers, we get 8. What are the two numbers?

a)

The two numbers are 11 and 3.

b)

The two numbers are 9 and 5.

c)

The two numbers are 7 and 7.

d)

The two numbers are 4 and 10.

65.

For what mileage do the cabs cost the same?

a)

8

b)

3

c)

5

d)

2

66.

What is the cost when the cabs are the same?

a)

8

b)

3

c)

5

d)

2

67.

When is it cheaper to ride the blue cab?

a)

>3 miles

b)

<3 miles

c)

>8 miles

d)

<8 miles

68.

When is it cheaper to ride the yellow cab?

a)

>3 miles

b)

<3 miles

c)

>8 miles

d)

<8 miles

69.

[START Solving Systems of Equations and Inequalities QZ HW U2L23][DELETE 04-18-2022] A system of two intersecting lines will have how many solutions?

a)

One Solution

b)

Two Solutions

c)

No Solution

d)

Infinite Solutions

70.

[START Solving Systems of Equations and Inequalities QZ HW U2L23][DELETE 04-18-2022] There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15
4x + 2y = 44

b)

4x + 2y = 15
x + y = 44

c)

x = 2y + 44
4x = y + 15

d)

2x - 4y = 44
x - y = 15

71.

[START Solving Systems of Equations and Inequalities QZ HW U2L23][DELETE 04-18-2022] Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? Let "c" represent the # of people who ordered chicken and "s" represent those who ordered steak.

a)

c + s = 6
14.80c + 17s = 91

b)

c + s = 91
14.80c + 17s = 6

c)

c + s = 6
14.80s + 17c = 91

d)

c + s = 91
14.80s+ 17c = 6

72.

[START Solving Systems of Equations and Inequalities QZ HW U2L23][DELETE 04-18-2022] When is it cheaper to ride the blue cab?

a)

>3 miles

b)

<3 miles

c)

>8 miles

d)

<8 miles

73.

[START Solving Systems of Equations and Inequalities QZ HW U2L23][DELETE 04-18-2022] Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

74.

[START Solving Systems of Equations and Inequalities QZ HW U2L23][DELETE 04-18-2022] JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

a)

b + t < 15
3b + 6t > 66

b)

b + t > 15
3b + 6t < 66

c)

3b + 6t > 15
b + t < 66

d)

3b + 6t < 15
b + t < 66

75.

[START Solving Systems of Equations and Inequalities QZ HW U2L23] You can work a total of no more than 41 hours each week at your two jobs.

Housecleaning pays $5 per hour and your sales job pays $8 per hour.

You need to

earn at least $254 each week to pay your bills.

Which ordered pair represents the number of hours you can work at each job?

a)

(30,10)

b)

(24,16)

c)

(20,20)

d)

(16,24)

76.

[END Solving Systems of Equations and Inequalities QZ HW U2L23] Write the system of inequalities: Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing.

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

77.

[START Linear Functions Test Review & Reteach 10-20-2021] Write the equation for the line in slope-intercept form.

a)

y = -1x + 3

b)

y = 4x + 3

c)

y = 1/4x + 3

d)

y = -4x + 3

78.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

79.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

80.

Which equation matches the graph?

a)

y = 2x + 5

b)

y = 2x

c)

y = -2x + 5

d)

y = -2x

81.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

82.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

83.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

84.

If f(x)=3x-9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

85.

[START Linear Functions Test Review (10-19-2021)][DELETE 04-18-2022] Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

86.

[START Linear Functions Test Review (10-19-2021)][DELETE 04-18-2022] Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

87.

[START Linear Functions Test Review (10-19-2021)][DELETE 04-18-2022] What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

88.

[START Linear Functions Test Review (10-19-2021)] What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

89.

What is the equation of a line when m = -7 and b = -8?

a)

y = -7x + 8

b)

y = -7x - 8

c)

y = 7x - 8

d)

y = 7x + 8

90.

[DELETE 04-18-2022] Which equation matches the graph?

a)

y = 5

b)

y = -5

c)

x = -5

d)

x = 5

91.

[DELETE 04-18-2022] Which equation matches the graph?

a)

y = 5

b)

y = -5

c)

x = -5

d)

x = 5

92.

[DELETE 04-18-2022] Which equation matches the graph?

a)

y= 2x + 5

b)

y= 2x

c)

y= -2x + 5

d)

y= -2x

93.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

94.

Identify the inequality.

a)

y > 2

b)

y ≤ 1

c)

x ≥ 2

d)

y ≥ 1

95.

Identify the inequality.

a)

y > x+1

b)

y ≤ 1x+1

c)

y ≥ x+1

d)

y ≤ x-1

96.

[DELETE 04-18-2022] Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

97.

[DELETE 04-18-2022] Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

98.

[DELETE 04-18-2022]

a)

Function

b)

Not a Function

99.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

100.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

101.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

102.

How do you read f(x)?

a)

f x

b)

f of x

c)

f parenthesis x

d)

f with an x inside parenthesis

103.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

104.

If f(x)=3x-9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

105.

[START Linear Function Characteristics Review (10-21-2021)] What is the range of the following graph?

a)

R: {-5, -1, 0 , 1, 5}

b)

R: {-4, -2, 0, 3, 6}

c)

R: (-4, 1) ( 6, 0)

d)

R: (6, 0)

106.

What is the range of the function?

a)

[1, 5]

b)

(5, 4]

c)

[1, 4]

d)

(1, 5)

107.

What is the domain of the graph?

a)

[-7, 5)

b)

(-7, 5]

c)

[-3, 1)

d)

(-3, 1]

108.

What is the range of the relation?

a)

(-∞, ∞)

b)

(-2, 2)

c)

(-3, 3)

d)

[-4, 5)

109.

What is the domain of the relation?

a)

(-∞, ∞)

b)

(-2, 2)

c)

(-3, 3)

d)

[-4, 5)

110.

Does this graph have a minimum or maximum? What point?

a)

minimum at (-3, -5)

b)

minimum at (3, 5)

c)

maximum at (-3, -5)

d)

maximum at (3, 5)

111.

Does this graph have a minimum or maximum? What point?

a)

Minimum at (0, 0)

b)

Minimum at (0, 2)

c)

Maximum at (0, 0)

d)

Maximum at (0, 2)

112.

What is the x-intercept(s)?

a)

(0, 6)

b)

(6, 0)

c)

(2, 1)

d)

There is no x-intercept.

113.

What is the y-intercept?

a)

(0, 5)

b)

(5, 0)

c)

(0, -5)

d)

(-5,0)

114.

What is the y-intercept?

a)

(-11, 0)

b)

(0, -11)

c)

(11, 0)

d)

(0, 11)

115.

What is the x-intercept for the given graph?

a)

1

b)

-2

c)

2

d)

1/2

116.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

117.

True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.

a)

True

b)

False

118.

[DELETE 04-18-2022] What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

119.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

120.

Write the equation of this graph.

a)

x = 2

b)

y = 2

c)

2x + y = 2

d)

x + 2y = 2

121.

Write the equation of the graph.

a)

y = -3

b)

x = -3

c)

x - 3y = 3

d)

3x - y = 3

122.

What is the increasing interval for the function below?

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,2\right]$

c)

$\left(-\infty,6\right]$

d)

$\left(-6,6\right)$

123.

What is/are the increasing interval(s) for the function shown?

a)

$\left(-3,\ 1\right)$

b)

$\left(4,\ 8\right)$

c)

$\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)$

124.

[END Linear Function Characteristics Review (10-21-2021)] What are the decreasing intervals on the function shown?

a)

$\left(-7,\ -6\right)\ and\ \left(-2,\ 4\right)$

b)

$\left(-7,\ 0\right)\ and\ \left(-2,\ 4\right)$

c)

$\left(-7,\ -6\right)\ and\ \left(-2,\ 0\right)$

d)

$\left(-7,\ 0\right)\ and\ \left(4,\ 5\right)$

125.

[START Arithmetic Sequences] Identify the common difference: 10, 20, 30, 40, ...

a)

5

b)

10

c)

15

d)

20

126.

Select the explicit rule that represents the sequence.

a)

$a_n=14\ -3n$

b)

$a_n=14n\ -3$

c)

$a_n=-3n\ +17$

d)

$a_n=14n\ +11$

127.

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.

a)

a_n = 4n + 29

b)

a_n = -4n + 25

c)

a_n= -4n + 29

d)

a_n = 4n + 25

128.

[END Arithmetic Sequences] Select the explicit rule that represents the sequence.

a)

$a_n=5n\ +1$

b)

$a_n=6n-2$

c)

$a_n=-4n+10$

d)

$a_n=4n-6$

129.

[START HW U3L8 Geometric Sequences] Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

130.

Is the sequence -432, 72, -12, 2,...geometric?

a)

yes

b)

no

131.

Write the explicit formula for the geometric sequence.

a)

a_n = 4(3)^n-1

b)

a_n = 3(4)^n-1

c)

a_n = -4(3)^n-1

d)

a_n = 3(-4)^n-1

132.

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

a)

20, 100, 500, 2500

b)

5, 20, 80, 320

c)

4, 20, 100, 500

d)

4, 9, 14, 19

133.

What is the 14th term of the geometric sequence?

a)

14,348,907

b)

4,782,969

c)

1,594,323

d)

45

134.

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

a)

a_n = (125)(1/5)^(n-1)

b)

a_n = 625(1/5)^(n-1)

c)

a_n = 625(5)^(n-1)

d)

a_n = 125 + 5n

135.

[START HW U3L8 Geometric Sequences] Find a₁₂ in the sequence -1, -3, -9, -27, ...

a)

-177,147

b)

-19,683

c)

-59,049

d)

118,098

136.

[START Exponential Functions & Graphs] What does this graph represent?

a)

Exponential Decay

b)

Exponential Growth

137.

What does the graph represent?

a)

Exponential Decay

b)

Exponential Growth

138.

Which does y= 2(.5)^xrepresent?

a)

Exponential Growth

b)

Exponential Decay

139.

Which does y=.5(2)^x represent?

a)

Exponential Growth

b)

Exponential Decay

140.

What is the initial value of the situation represented by f(x)=0.05(2)^x?

a)

0.05

b)

2

c)

0.1

d)

1

141.

What is the equation that represents the BLUE curve?

a)

$y=\left(\frac{1}{2}\right)^x$

b)

$y=4\left(\frac{1}{2}\right)^x$

c)

$y=2\left(\frac{1}{2}\right)^x$

d)

I do not know

142.

Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

a)

7⁷

b)

7⁸

c)

8⁷

d)

7⁹

143.

Which of the following could correctly represent a horizontal asymptote?

a)

(0,3)

b)

y=3

c)

3

d)

(3,0)

144.

What is the range of this graph?

a)

y = 6

b)

(0, -4)

c)

y > -6

d)

y < -6

145.

Is the pictured graph growth, decay, or linear or quadratic?

a)

Growth

b)

Decay

c)

Linear

d)

Quadratic

146.

Which represents exponential decay?

a)

A

b)

B

c)

C

d)

D

147.

[END Exponential Functions & Graphs] In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

148.

[START Exponential Applications] What does P represent in the equation A=P(1+r)^t?

a)

rate

b)

principal

c)

time

d)

amount

149.

What does r represent in the equation A=P(1+r)^t ?

a)

rate

b)

principal

c)

time

d)

amount

150.

What does t represent in the equation A=P(1+r)^t ?

a)

rate

b)

principal

c)

time

d)

amount

151.

Express 6.5% as a decimal.

a)

.65

b)

6.5

c)

.065

d)

.065%

152.

Express 18% as a decimal.

a)

18

b)

.18

c)

.018

d)

.18%

153.

Steve deposited $5,000 in a savings account that pays 4% interest compounded annually.

Which equation could be used to find the value of the account after 3 years?

a)

A = 5,000(1 + 4)³

b)

A = 5,000(1 + 0.04)³

c)

A = 5,000(1 + 0.4) x 3

d)

A = 5,000(0.04)³

154.

Krystal has $3000 invested at a 2% interest rate. Which expression can be used to determine how much money Krystal had after 16 years?

a)

$A=3000\left(1+.02\right)^{16}$

b)

$A=3000\left(1-.02\right)^{16}$

c)

$A=16\left(1+.2\right)^{3000}$

d)

$A=3000\left(.2\right)^{16}$

155.

Caiden deposited $475 in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

a)

$827.52

b)

$831.10

c)

$839.45

d)

$846.80

156.

You borrowed $1,690 for 5.5 years at an interest of 5.7%. How much will you pay back?

a)

$1,690

b)

$2,292.45

c)

$1,87.55

d)

$3,982.45

157.

Audrey deposited $2,800 in a savings account that pays 2.65% interest compounded annually.

What is the total value of the account after 7 years?

a)

$562.57

b)

$3362.57

c)

$14,514.15

d)

$2,569,680

158.

Your return (or interest rate) is 8% a year. How long will it take before your investment doubles?

a)

9 years

b)

8 years

c)

7 years

d)

Never

159.

Your returns (or interest rate) are 9% a year. How long will it take before your investment doubles?

a)

9 years

b)

8 years

c)

7 years

d)

They won't

160.

Your returns (or interest rate) are 6% a year. How long will it take before your investment doubles?

a)

18 years

b)

16 years

c)

12 years

d)

8 years

161.

How many years will it take $4000 to double with a 5% interest rate?

a)

1440

b)

14.4

c)

55.5

d)

80

162.

What interest rate would you need to double $3500 in 9 years?

a)

7%

b)

10%

c)

8%

d)

38.8%

163.

How long will it take an investment of $14,049.44 at 18% interest to double?

a)

4.8

b)

3.6

c)

4

d)

4.4

164.

How long will it take an investment of $22,535.93 at 6% interest to double?

a)

12

b)

13.2

c)

14.4

d)

10.8

165.

How long will it take an investment of $18,542.70 at 36% interest to double?

a)

2.4

b)

2

c)

2.2

d)

1.8

166.

How much will you accumulate if you invest $8381.01 at 42% interest for 21 years - compounded 12 time(s) annually?

a)

$43,904,295.84

b)

$58,539,061.12

c)

$48,782,550.93

d)

$53,660,806.03

167.

How much will you accumulate if you invest $10456.97 at 32% interest for 21 years - compounded 2 time(s) annually?

a)

$5,861,841.82

b)

$4,796,052.40

c)

$5,328,947.11

d)

$6,394,736.53

168.

How much will you accumulate if you invest $5257.66 at 34% interest for 9 years - compounded 1 time(s) annually?

a)

$80,561.65

b)

$73,237.87

c)

$65,914.08

d)

$87,885.44

169.

How much will you accumulate if you invest $657.95 at 49% interest for 14 years - compounded 1 time(s) annually?

a)

$209,885.24

b)

$174,904.37

c)

$192,394.80

d)

$157,413.93

170.

[END Exponential Applications] How much will you accumulate if you invest $44219.55 at 47% interest for 11 years - compounded 4 time(s) annually?

a)

$6,455,032.05

b)

$5,868,210.96

c)

$5,281,389.86

d)

$7,041,853.15

171.

[START Quadratic Functions] What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

172.

What is the maximum/minimum of a parabola called?

a)

vertex

b)

point

c)

top

d)

bottom

173.

What is the vertex of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

174.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

175.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

176.

[END Quadratic Functions] Given the equation above, find h(-3).

a)

-13

b)

5

c)

-23

d)

23

177.

[START Quadratic Graphs] What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

178.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

179.

What is the domain and the range for the graph?

a)

Domain : -2 ≤ x ≤ 2
Range : 0 ≤ y ≤ 4

b)

Domain : 0 ≤ x ≤ 4
Range : -2 ≤ y ≤ 2

c)

Domain : All real #s
Range : y ≤ 4

d)

Domain : -2 ≤ x ≤ 2
Range : y ≤ 4

180.

Determine the domain and range of the function

a)

Domain: All real numbers

Range: All real numbers

b)

Domain: x ≥ -4

Range: All real numbers

c)

Domain: All real numbers

Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5

Range: y ≥ -4

181.

What is the vertex of the given parabola?

a)

(1, - 4)

b)

(-1, 0), (3, 0)

c)

x = 1

d)

(-4, 1)

182.

[END Quadratic Graphs] What is the axis of symmetry of the given quadratic graph?

a)

(0, -2)

b)

(- 2, 0)

c)

x = - 2

d)

(0, 2)

183.

[START Solving Quadratic Equations] What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

184.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

185.

Find the missing value "c" to create a perfect square trinomial:
x² – 8x + ___

a)

-4

b)

16

c)

4

d)

8

186.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

187.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

188.

Complete the square for x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

189.

When factoring x² - 4x + 4 = 20, fill in the blank: (x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

190.

Solve by completing the square.
x² + 4x= 12

a)

x = 2 and -2

b)

x = -6 and 2

c)

x = 6 and -2

d)

x = 1 and -1

191.

Determine the values of a, b, and c for the quadratic equation: 4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

192.

Factor x²-11x+24

a)

(x-3)(x-8)

b)

(x-2)(x-12)

c)

(x+3)(x+8)

d)

(x+2)(x+12)

193.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

194.

Solve by factoring

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

195.

Solve by factoring. (HINT: Factor GCF 1st)

a)

x = 3, x = -6

b)

x = 0, x = 2

c)

x = 2, x = 3

d)

x = -2, x = 1

196.

Solve x² + 13x + 12 = 0

a)

x = -12, -1

b)

x = 12, 1

c)

x = 13, 1

d)

x = -13, -1

197.

The quadratic equation can be used to solve quadratic equations that cannot be factored.

a)

True

b)

False

198.

Solve for x: (x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

199.

Solve by factoring: n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

200.

What are the factors of ... $x^2-16$

a)

$\left(x-4\right)^2$

b)

$\left(x+4\right)^2$

c)

$\left(x-4\right)\left(x+4\right)$

d)

$\left(x\right)^2-\left(4\right)^2$

201.

Solve: $x^2=36$

a)

$\pm6$

b)

$\pm18$

c)

$\pm12$

d)

$6$

202.

What is the discriminant of the Quadratic Formula?

a)

$\frac{-b}{2a}$

b)

$\sqrt{b^2-4ac}$

c)

$b^2-4ac$

d)

$\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

203.

Factor: x² - 2x - 24

a)

(x + 6)(x - 4)

b)

(x + 4)(x - 6)

c)

(x - 4)(x - 6))

d)

(x - 3)(x + 8)

204.

Factor: x² + 13x + 30

a)

(x + 3)(x + 10)

b)

(x + 5)(x + 6)

c)

(x + 2)(x + 15)

d)

(x + 1)(x + 30)

205.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x - 3 = 0

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

206.

The solutions of the quadratic equation x²+12x+35=0 are

a)

x = -5 or x = -7

b)

x = 5 or x = 7

c)

x = -35 or x = -1

d)

x = -9 or x = -4

207.

The solutions of the quadratic equation x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

208.

[END Solving Quadratic Equations] The solutions of the quadratic equation x²+x+3=0 are

a)

x = 1 or x = 3

b)

x = -1 or x = -3

c)

x = -3 or x = 1

d)

No solutions

209.

[START Describing Data] The mean is found by ___________________ all of the numbers and then _____________________ by the number of items.

a)

adding, subtracting

b)

adding, multiplying

c)

dividing, adding

d)

adding, dividing

210.

The _______________________ is the number that occurs most often in a data set.

a)

Mean

b)

Median

c)

Mode

d)

IQR

211.

The _______________________ is what you get when you subtract the lowest value from the highest.

a)

Range

b)

IQR

c)

Q3

d)

Q1

212.

A data value that is much higher or much lower than the other values in a data set.

a)

outlier

b)

inlier

c)

immalier

d)

sublier

213.

A way to describe the shape of a data display that has a single mode or peak.

a)

unimodal

b)

bimodal

c)

multimodal

d)

uniform

214.

A way to describe the shape of a data display that has two modes or peaks.

a)

unimodal

b)

bimodal

c)

multimodal

d)

uniform

215.

Is this data positively or negatively skewed?

a)

Positively skewed

b)

Negatively skewed

216.

Is this data positively or negatively skewed?

a)

Positively skewed

b)

Negatively skewed

217.

Is this data positively or negatively skewed?

a)

Positively skewed

b)

Negatively skewed

218.

The ages of 11 senior citizens taking an art class are shown below.

{86, 92, 86, 80, 83, 80, 93, 92, 93, 84, 83}

Which box plot represents the ages of the senior citizens?

a)

b)

c)

d)

219.

Which set of data is displayed in the box plot shown below?

a)

5, 15, 6, 12, 12, 6, 10, 8

b)

11, 14, 5, 7, 5, 9, 12, 15

c)

15, 10, 6, 8, 5, 8, 10, 12

d)

5, 8, 8, 5, 15, 12, 14, 12

220.

The box plot represents the midterm scores of the students in a class.

What percent of the students had a score greater than or equal to 50?

a)

25%

b)

75%

c)

50%

d)

100%

221.

[END Describing Data] Which histogram has an outlier?

a)

Histogram A

b)

Histogram B

222.

[START Comparing Functions] Dave owns a lawn business. He charges $10 per hour and a $25 dollar disposal fee. What is the correct equation Dave would use to find out how much to charge his customers?

a)

y = 25x + 10

b)

x = 25y + 10

c)

y = 10x +25

d)

x = 10y + 25

223.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation for the total cost of x pounds of fruit from the orchard.

a)

y = 3x + 2.5

b)

y = 2.50x + 3

c)

y = 2.50x

d)

y = 3x + 2.50

224.

Write an equation for the table.

a)

y = 0.4x

b)

y = 025x

c)

y = 4x

d)

y = 0.04x

225.

Write an equation for the line

a)

y = 50x

b)

y = 20x

c)

y = 0.02x

d)

y = 0.2x

226.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

227.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

228.

Who has the greater rate of change?

a)

Hunter has the greater rate of change.

b)

Casey has the greater rate of change

c)

They have the same rate of change

229.

Who has the greater rate of change?

a)

Braden has the greater rate of change with 60/3

b)

Omar has the greater rate of change with 100

c)

Braden has the greatest rate of change with 60

d)

They both have the same rate of change

230.

Who has the greater rate of change?

a)

Tyler has the greater rate of change with 2/3

b)

Aubri has the greater rate of change with 3/2

c)

Tyler has the greater rate of change with 3/2

d)

They have the same rate of change.

231.

Which function is exponential and decreasing?

a)

A

b)

B

c)

C

d)

D

232.

What kind of function is this graph?

a)

Linear

b)

Quadratic

c)

Exponential

233.

What type of function is f(x)=2(3^x) ?

a)

Quadratic

b)

Linear

c)

Exponential

234.

This function has the same rate of change.

a)

Linear

b)

Exponential

c)

Neither

235.

The graph of this function is a curve going up really fast or down really fast.

a)

Linear

b)

Exponential

c)

Neither

236.

The graph of this function is a straight line.

a)

Linear

b)

Exponential

c)

neither

237.

What type of function is this equation:
y= 4^x+1

a)

Linear

b)

Exponential

c)

Neither

238.

[END Comparing Functions] Which of the following is NOT a quadratic function

a)

f(x) = -3x²

b)

f(x) = -5x - 3x²

c)

f(x) = 3x³- 4x² + 5

d)

f(x) = 3x + 5

U7 Milestone EOC Review (Algebra 1)

Total questions: 238

Worksheet time: 60hrs 30mins

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