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Worksheets

Semester 1 milestone review game

Total questions: 149

Worksheet time: 5hrs 5mins

Name
Class
Date
1.
which number is equivalent to 5(square root 8)times 3(square root 4)? Standard RN.2
a)
A. 15(square root 2)
b)
B. 60(square root2)
c)
C. 30(square root3)
d)
D. 60(squareroot3)
2.
The first term in an arithmetic sequence is 5. The fourth term in the sequence is -4. The tenth term is -22
which function can be used to find the nth term of the arithmetic sequence? F.BF.2
a)
A. f(n) = -n
b)
B. f(n) = n + 4
c)
C. f(n)= -3n + 8
d)
D. f(n) = 1/2 (n+5)+ 2 
3.
Jose wants to spend no more than $30 on apples and grapes for the month. Apples cost $1.50 per pound, and grapes cost $2 per pound. Jose also wants his monthly caloric intake from apples and grapes to be greater than 2000 calories. He determines that 1 pound of apples has 200 calories and 1 pound of grapes has 300 calories.
Let a represent the number of pounds of apples, and g represent the number of pounds of grapes. Which system of inequalities can be used to determine the number of pounds of apples and grapes that Jose can buy for a month?CED.3
a)
A. 1.5a + 2g >=30
200a + 300g > 2000
b)
B. 1.5a + 2g <= 30
200a + 300g > 2000
c)
C. 2a + 1.5g <= 30
300a + 200g >2000
d)
D. 2a + 1.5g >= 30
200a + 300g <2000
4.
Which set of data points could be modeled by a decreasing linear function? ID.6a
a)
A. {(0, 0), (1, 8), (2, 15), (3, 22), (4, 30)}
b)
B. {(0, 5), (1, 6), (2, 10), (3, 16), (4, 28)}
c)
C. {(0, 50), (1, 42), (2, 33), (3, 25), (4, 16)}
d)
D. {(0, 64), (1, 60), (2, 52), (3, 39), (4, 22)}
5.
Use these functions to answer this question. P(x) = x2 – x – 6
 Q(x) = x – 3
What is P(x) – Q(x)? APR.1
a)
A. x- 3
b)
B. x- 9
c)
C. x2 - 2x - 3
d)
D. x2 - 2x - 9
6.
The total daily expenses to operate Sheila’s pie bakery are the cost of salaries and ingredients. Sheila has four employees, and she pays each worker a daily rate. On average, it costs the same amount of money to make each pie. This expression shows the total daily expenses for Sheila’s bakery to make x pies.
4(75) + $0.50x
What does the term 4(75) represent?SSE.1a
a)
A. The amount of money Sheila must pay her employees per day.
b)
B. The number of pies Sheila must sell per day.
c)
C. The total cost of expenses per pie.
d)
D. The amount of money customers pay per pie.
7.
Which function represents the data in the table? F.BF.1
x    3    6   10    15
y   2.5  4   6     8.5
a)
A. f(x) = 2x + 1
b)
B. f(x) = x/2 - 1
c)
C. f(x) = 2x - 1
d)
D. f(x) = x/2 + 1
8.
What is the solution to this system of equations?REI.6
x - 3y = 1
x - 2y = 6
a)
A. (-4, -5)
b)
B. (-2, -1)
c)
C. (4,1)
d)
D. (16, 5)
9.
Information about the costs of three catering companies is below
                   Catering Company Costs
Acme Catering  - $6 per person plus a flat $100 time and equipment charge
Best Foods - $8 per person plus a flat $40 time and equipment charge
 Creative Catering - $10 per person charge with no other fees
Gavin can spend no more than $300 on catering. What is the greatest number of people he can invite using one of the caterers?CED.1
a)
A. 30
b)
B. 32
c)
C. 33
d)
D. 37
10.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
11.

Fill in the blank that will give the correct output!


If f(x) = 2x+1, then f( (a)   )=13

12.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
13.

What is the next step to solve this equation?
3x - 5 = 7

a)

Add 5 to both sides of the equation

b)

Add 3x to both sides of the equation

c)

Subtract 5 from both sides of the equation

d)

Subtract 7 from both sides of the equation

14.

What is the first step to solve this equation?
3n - 4 = -2 + 2n 

a)

Add 2n to both sides of the equation

b)

Add 3n to both sides of the equation

c)

Subtract 2n from both sides of the equation

d)

Subtract 4 from both sides of the equation

15.

Which sequence is NOT an arithmetic sequence?

a)

-7, -13, -19, -25,...

b)

-10, -6, -2, 2,..

c)

6, 8, 10, 12,...

d)

3, 15, 75, 375,...

16.

An arithmetic sequence is given below.


2, 9, 16, 23, ...


Which is the explicit formula for the nth term an?

a)

an = -7n+9

b)

an = 7n-5

c)

an = 7n-9

d)

an = -7n+5

17.
Your family goes to a restaurant for dinner. There are 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
18.
Michelangelo decided to order Pizza Hut last night. He purchased 3 pizzas and 2 orders of breadsticks for a total of $29.50. Donatello ordered 2 pizzas and 3 orders of breadsticks last Sunday for a total of $23. Set up a system. Let "p" represent the price per pizza and "b" represent the price of an order of breaksticks.
a)
3p + 2b = 29.50
2p + 3b = 23
b)
3p + 2b = 23
2p + 3b = 29.50
c)
3b + 2p = 29.50
2b + 3p = 23
d)
5bp = 29.50
5bp = 23
19.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x+ 3x +1
b)
-2x- 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
20.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x+ 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
21.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
22.

Classify by degree and number of terms:

3x3 – 6x

a)

Quadratic Binomial

b)

Cubic Binomial

c)

Cubic Trinomial

d)

4th degree Binomial

23.

What is the next step to solve this equation?
3x - 5 = 7

a)

Add 5 to both sides of the equation

b)

Add 3x to both sides of the equation

c)

Subtract 5 from both sides of the equation

d)

Subtract 7 from both sides of the equation

24.
5(2x - 7) = 80
a)
x = 11.5
b)
x = 115
c)
x = 12
d)
x = 16
25.
Factor x2 + 7x + 12
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
26.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
27.
Factor:
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
28.
Name and Classify the Polynomial:
x² − 4
a)
quadratic binomial
b)
quadratic monomial
c)
linear binomial
d)
linear monomial
29.
(2n + 2)(6n + 1)
a)
12n + 2
b)
12n2 + 2
c)
12n2 + 12n + 2
d)
12n2 + 14n + 2
30.

(4x+1) - (5x−2)

a)

9x + 3

b)

20x2 − 3x - 2

c)

x2 + 3

d)

-x + 3

31.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
32.
Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 
a)
(5, 8)
b)
(5, -8)
c)
(-5, -18)
d)
(-5, 8)
33.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
34.
Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
35.

Find a20 in the arithmetic sequence: (Hint: Find explicit formula first)

5, 12, 19, 26...

a)

145

b)

144

c)

142

d)

138

36.
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
37.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
38.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
39.
a)
y=(x-4)2+1
b)
y=(x-4)2-1
c)
y=(x+4)2+1
d)
y=(x+4)2-1
40.
a)

A

b)

B

c)

C

d)

D

41.
a)

A

b)

B

c)

C

d)

D

42.
a)

A

b)

B

c)

C

d)

D

43.
a)

A

b)

B

c)

C

d)

D

44.
a)

A

b)

B

c)

C

d)

D

45.
a)

A

b)

B

c)

C

d)

D

46.
a)

A

b)

B

c)

C

d)

D

47.
a)

A

b)

B

c)

C

d)

D

48.
a)

A

b)

B

c)

C

d)

D

49.
a)

A

b)

B

c)

C

d)

D

50.
a)

A

b)

B

c)

C

d)

D

51.
a)

A

b)

B

c)

C

d)

D

52.
a)

A

b)

B

c)

C

d)

D

53.
a)

A

b)

B

c)

C

d)

D

54.
a)

A

b)

B

c)

C

d)

D

55.
a)

A

b)

B

c)

C

d)

D

56.
a)

A

b)

B

c)

C

d)

D

57.
a)

A

b)

B

c)

C

d)

D

58.
What are the solutions?
a)
0 and 8
b)
-2 and -4
c)
3 and -1
d)
2 and 4
59.
Solve by factoring:
 n² - 2n = 0
a)
n = 2 and 0
b)
n = -2 and 0
c)
n = 2
d)
n = 0
60.
Solve using the quadratic formula:
3x2 - 36x = 39
a)
6 or -6
b)
13 or -1
c)
1 or -13
d)
36 or -39
61.
Which graph is NOT a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
62.
If h(a) = 3 - 2a

Find h(-3).
a)
12
b)
-2
c)
-3
d)
9
63.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
64.

Which of the following is not the definition of function?

a)

x-values do not repeat

b)

passes the Vertical Line Test (VLT)

c)

every input has exactly one output

d)

passes the Horizontal Line Test (HLT)

65.

Select all of the words that defines domain.

a)

x-value

b)

input

c)

y-value

d)

output

66.

Select all of the words that defines range.

a)

x-value

b)

input

c)

y-value

d)

output

67.

How do you read f(x)?

a)

"f times x"

b)

"f of x"

c)

"f parentheses x"

d)

" f x"

68.

Which of the following is a radical?

a)

square root

b)

number

c)

variable

69.

Equivalent expressions _____________________.

a)

are equal

b)

are not equal

70.

Which of the following best describes a rational number?

a)

a number that can be written as a fraction

b)

a number than cannot be written as a fraction

c)

a number that is greater than or equal to 0 but not a decimal

d)

a negative or positive whole number

e)

a number that is greater than 0 but not a decimal

71.

Which of the following best describes a irrational number?

a)

a number that can be written as a fraction

b)

a number than cannot be written as a fraction

c)

a number that is greater than or equal to 0 but not a decimal

d)

a negative or positive whole number

e)

a number that is greater than 0 but not a decimal

72.

How do you find the perimeter of a shape?

a)

take the sum of all the side lengths

b)

multiply the width and length

c)

subtract the side lengths

d)

divide the side lengths

73.

Unit conversions are used to _____________.

a)

plot points on a graph

b)

simplify radicals

c)

change from one unit of measurement to another

d)

change a fraction to a decimal

74.

The coefficient of a term in an expression is best described as _____________.

a)

the number in front of the variable

b)

a letter used to represent the unknown

c)

the exponent of the variable

d)

the number without a variable

75.

The area of a square can be calculated by __________.

a)

taking the square root of the side length

b)

taking the sum of the side lengths

c)

squaring the side length

76.

To take the product means to ________.

a)

add

b)

subtract

c)

multiply

d)

divide

77.

Simplify these expressions: 3x + 5 + 2x - 7

a)

5x + 2

b)

8x - 5

c)

5x - 2

d)

None of the above

78.

Translate:


The product of 9 and a number, x, increased by 10

a)

9x - 10

b)

9x + 10

c)

9/x + 10

d)

9x / 10

79.

Translate:


The quotient of a number, n, and 6, decreased by 7

a)

6n + 7

b)

7n + 6

c)

n/6 - 7

d)

6/n - 7

80.

Translate:


8 less than a number, d

a)

8 - d

b)

d - 8

c)

8 + d

d)

8d

81.

Simplify:


6x + 8y + 4x + 2y

a)

20xy

b)

14xy + 6xy

c)

10x + 10y

d)

10x2 + 10y2

82.

Which graph matches the inequality n \le -2?

a)

A

b)

B

c)

C

d)

D

83.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
84.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
85.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
86.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

87.
WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?
a)
5+x=25
b)
5+4x=25
c)
5x=25
d)
23-5=4x
88.

Simplify these expressions: 3x + 5 + 2x - 7

a)

5x + 2

b)

8x - 5

c)

5x - 2

d)

None of the above

89.

Translate:


The product of 9 and a number, x, increased by 10

a)

9x - 10

b)

9x + 10

c)

9/x + 10

d)

9x / 10

90.

Translate:


The quotient of a number, n, and 6, decreased by 7

a)

6n + 7

b)

7n + 6

c)

n/6 - 7

d)

6/n - 7

91.

Translate:


8 less than a number, d

a)

8 - d

b)

d - 8

c)

8 + d

d)

8d

92.

Simplify:


6x + 8y + 4x + 2y

a)

20xy

b)

14xy + 6xy

c)

10x + 10y

d)

10x2 + 10y2

93.

Which graph matches the inequality n \le -2?

a)

A

b)

B

c)

C

d)

D

94.
When graphing b< 6 would you use an open or closed circle?
a)
Open
b)
closed
95.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
96.
x/5 - 13 = 20
a)
145
b)
165
c)
180
d)
190
97.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

98.
WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?
a)
5+x=25
b)
5+4x=25
c)
5x=25
d)
23-5=4x
99.
a)

A

b)

B

c)

C

d)

D

100.
a)

A

b)

B

c)

C

d)

D

101.
a)

A

b)

B

c)

C

d)

D

102.
a)

A

b)

B

c)

C

d)

D

103.
a)

A

b)

B

c)

C

d)

D

104.
a)

A

b)

B

c)

C

d)

D

105.
a)

A

b)

B

c)

C

d)

D

106.
a)

A

b)

B

c)

C

d)

D

107.
a)

A

b)

B

c)

C

d)

D

108.
a)

A

b)

B

c)

C

d)

D

109.
a)

A

b)

B

c)

C

d)

D

110.
a)

A

b)

B

c)

C

d)

D

111.
a)

A

b)

B

c)

C

d)

D

112.
a)

A

b)

B

c)

C

d)

D

113.
a)

A

b)

B

c)

C

d)

D

114.
a)

A

b)

B

c)

C

d)

D

115.
a)

A

b)

B

c)

C

d)

D

116.
a)

A

b)

B

c)

C

d)

D

117.
a)

A

b)

B

c)

C

d)

D

118.
a)

A

b)

B

c)

C

d)

D

119.
a)

A

b)

B

c)

C

d)

D

120.
a)

A

b)

B

c)

C

d)

D

121.
a)

A

b)

B

c)

C

d)

D

122.
a)

A

b)

B

c)

C

d)

D

123.
a)

A

b)

B

c)

C

d)

D

124.
a)

A

b)

B

c)

C

d)

D

125.
a)

A

b)

B

c)

C

d)

D

126.
a)

A

b)

B

c)

C

d)

D

127.
a)

A

b)

B

c)

C

d)

D

128.
a)

A

b)

B

c)

C

d)

D

129.
a)

A

b)

B

c)

C

d)

D

130.
a)

A

b)

B

c)

C

d)

D

131.
a)

A

b)

B

c)

C

d)

D

132.
a)

A

b)

B

c)

C

d)

D

133.

a)

a

b)

b

c)

c

d)

d

134.

a)

a

b)

b

c)

c

d)

d

135.

a)

a

b)

b

c)

c

d)

d

136.

a)

a

b)

b

c)

c

d)

d

137.

a)

a

b)

b

c)

c

d)

d

138.

a)

a

b)

b

c)

c

d)

d

139.

a)

a

b)

b

c)

c

d)

d

140.

a)

a

b)

b

c)

c

d)

d

141.

a)

a

b)

b

c)

c

d)

d

142.

a)

a

b)

b

c)

c

d)

d

143.

a)

a

b)

b

c)

c

d)

d

144.

a)

a

b)

b

c)

c

d)

d

145.

a)

a

b)

b

c)

c

d)

d

146.

a)

a

b)

b

c)

c

d)

d

147.

a)

a

b)

b

c)

c

d)

d

148.

a)

a

b)

b

c)

c

d)

d

149.

a)

a

b)

b

c)

c

d)

d