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Practice Quiz

Total questions: 200

Worksheet time: 6hrs 38mins

Name
Class
Date
1.

What is the common difference of the sequence below?

6, 9, 12, 15, ...

Hint: Common difference means the ADDING pattern

a)

3

b)

6

c)

9

d)

12

2.

What is the first term of the sequence below?

6, 9, 12, 15, ...

a)

3

b)

6

c)

9

d)

12

3.

Now that we have found both the common difference and the first term of our sequence (6, 9, 12, 15, ...), we can write an EXPLICIT FORMULA for the arithmetic sequence.

Formula: an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  

Hint: a1=a_1=  first term & d=d=  common difference

a)

an=3+9(n−1)a_n=3+9\left(n-1\right)  

b)

an=9+3(n−1)a_n=9+3\left(n-1\right)  

c)

an=3+6(n−1)a_n=3+6\left(n-1\right)  

d)

an=6+3(n−1)a_n=6+3\left(n-1\right)  

4.

Using the formula an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  , where a1a_1  represents the first term and dd  represents the common difference, write a formula for the sequence 18, 16, 14, 12, 10, 8, ...

a)

an=18+2(n−1)a_n=18+2\left(n-1\right)  

b)

an=18−2(n−1)a_n=18-2\left(n-1\right)  

c)

an=2+18(n−1)a_n=2+18\left(n-1\right)  

d)

an=−2+18(n−1)a_n=-2+18\left(n-1\right)  

5.

What is the tenth term in the arithmetic sequence:

12, 19, 26, 33, ...

Hint: Find the common difference and then either continue the pattern or write and use an explicit formula.

a)

47

b)

61

c)

75

d)

96

6.

We have a sequence represented by the formula an=20+5(n−1)a_n=20+5\left(n-1\right)  . What is the 200th term?

Hint: The variable n represents term number. So here, n = 200.

Second Hint: Put in your calculator 20+5(200-1).

a)

200

b)

450

c)

1,015

d)

2,475

7.

Given the arithmetic sequence 10, 15, 20, ..., what is the 150th term?

Hint: Write an explicit formula and substitute 150 in for n.

Second Hint: The explicit formula for an arithmetic sequence is an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  

Third Hint: The formula needs both the common difference (adding pattern) and the first term. Then n = 150.

a)

530

b)

685

c)

755

d)

820

8.

Write an explicit formula for the sequence 45, 40, 35, 30, ...

Hint: The sequence is arithmetic so use this formula: an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  .

a)

an=45+5(n−1)a_n=45+5\left(n-1\right)  

b)

an=45−5(n−1)a_n=45-5\left(n-1\right)  

c)

an=5+45(n−1)a_n=5+45\left(n-1\right)  

d)

an=5−45(n−1)a_n=5-45\left(n-1\right)  

9.

Write an explicit formula for the sequence 1.5, 2.0, 2.5, 3.0, ...

Hint: The sequence is arithmetic so use this formula: an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  .

a)

an=1.5+0.5(n−1)a_n=1.5+0.5\left(n-1\right)  

b)

an=1.5−0.5(n−1)a_n=1.5-0.5\left(n-1\right)  

c)

an=0.5+1.5(n−1)a_n=0.5+1.5\left(n-1\right)  

d)

an=0.5−1.5(n−1)a_n=0.5-1.5\left(n-1\right)  

10.

Write an explicit formula for the sequence -9, -7, -5, -3, ...

Hint: The sequence is arithmetic so use this formula: an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  .

a)

an=−9+2(n−1)a_n=-9+2\left(n-1\right)  

b)

an=−9−2(n−1)a_n=-9-2\left(n-1\right)  

c)

an=2−9(n−1)a_n=2-9\left(n-1\right)  

d)

an=−2−9(n−1)a_n=-2-9\left(n-1\right)  

11.

Now we will look at our OTHER type of sequence...

We know arithmetic sequences have an adding pattern...

Well GEOMETRIC sequences have a MULTIPLYING pattern.

Given the sequence 3, 6, 12, 24, ..., what is the common ratio?

Hint: A common ratio is the sequence's multiplier.

a)

2

b)

4

c)

6

d)

8

12.

Arithmetic sequences form a linear equation.

Geometric sequences form an exponential equation.

Given the geometric sequence 2, 6, 18, ..., write an explicit formula.

a)

an=6(2)n−1a_n=6\left(2\right)^{n-1}  

b)

an=2(6)n−1a_n=2\left(6\right)^{n-1}  

c)

an=3(2)n−1a_n=3\left(2\right)^{n-1}  

d)

an=2(3)n−1a_n=2\left(3\right)^{n-1}  

13.

Given the geometric sequence 1, 5, 25, 125, ..., write an explicit formula.

Hint: The formula needed is an=a1(r)n−1a_n=a_1\left(r\right)^{n-1}  .

a)

an=1(5)n−1a_n=1\left(5\right)^{n-1}  

b)

an=5(5)n−1a_n=5\left(5\right)^{n-1}  

c)

an=5(1)n−1a_n=5\left(1\right)^{n-1}  

d)

an=1(1)n−1a_n=1\left(1\right)^{n-1}  

14.

Given the geometric sequence 64, 16, 4, 1, ..., write an explicit formula.

Hint: The formula needed is an=a1(r)n−1a_n=a_1\left(r\right)^{n-1}  .

Second Hint: Similar to arithmetic sequences representing both adding AND subtracting patterns (because subtracting IS adding a negative)... geometric sequences represent both multiplying AND dividing patterns. Dividing is just multiplying by a reciprocal.

a)

an=64(4)n−1a_n=64\left(4\right)^{n-1}  

b)

an=4(64)n−1a_n=4\left(64\right)^{n-1}  

c)

an=64(14)n−1a_n=64\left(\frac{1}{4}\right)^{n-1}  

d)

an=14(64)n−1a_n=\frac{1}{4}\left(64\right)^{n-1}  

15.

Given the geometric sequence 80, 40, 20, 10, ..., write an explicit formula.

Hint: The formula needed is an=a1(r)n−1a_n=a_1\left(r\right)^{n-1}  .

a)

an=80(12)n−1a_n=80\left(\frac{1}{2}\right)^{n-1}  

b)

an=12(80)n−1a_n=\frac{1}{2}\left(80\right)^{n-1}  

c)

an=80(2)n−1a_n=80\left(2\right)^{n-1}  

d)

an=2(80)n−1a_n=2\left(80\right)^{n-1}  

16.

What is the fifth term for the sequence below?

an=5(2)n−1a_n=5\left(2\right)^{n-1}  

Hint: Use your calculator and replace n with 5.

a)
a5 = 160
b)
a5 = 40
c)
a5 = 10
d)
a5 = 80
17.
Find the first four terms of the sequence given the rule:
an = 4(5)n-1
a)
20, 100, 500, 2500
b)
5, 20, 80, 320
c)
4, 20, 100, 500
d)
4, 9, 14, 19
18.

What is the 8th term in the geometric sequence below?

3, 9, 27, 81, ...

a)

19,683

b)

6,561

c)

2,187

d)

729

19.

Which of the following best describes this sequence?

{135, 45, 15, 5, ...}\left\{135,\ 45,\ 15,\ 5,\ ...\right\}  

a)

An arithmetic sequence with a common ratio of  13\frac{1}{3}  

b)

A geometric sequence with a common difference of 3.

c)

An arithmetic sequence with a common difference of 3.

d)

A geometric sequence with a common ratio of  13\frac{1}{3}  

20.

Which of the following best describes this sequence?

{5, 8, 11, 14, ...}\left\{5,\ 8,\ 11,\ 14,\ ...\right\}  

a)

An arithmetic sequence with a common ratio of 3.

b)

A geometric sequence with a common difference of 3.

c)

An arithmetic sequence with a common difference of 3.

d)

A geometric sequence with a common ratio of 3.

21.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
22.
Find the common difference: 29, 21, 13, 5, ...
a)
d = -10
b)
d = -9
c)
d = -8
d)
d = -7
23.
Find the common difference: 1, 201, 401, 601, ...
a)
d = 100
b)
d = 101
c)
d = 200
d)
d = 201
24.

The first three terms of an arithmetic sequence are as follows


13, 19, 25


What are the next two terms of the sequence?

a)

31 and 37

b)

31 and 36

c)

30 and 37

d)

30 and 36

25.

What is a1 in the following sequence?


-6, -14, -22, -30, ...

a)

-6

b)

-14

c)

-22

d)

-30

26.

Which sequence is NOT an arithmetic sequence?

a)

12, 18, 24, 30,...

b)

10, 3, -4, -11,...

c)

2, 4, 8, 16,...

d)

16, 20, 24, 28,...

27.

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,...

28.

Is the sequence arithmetic?

17, 9, 1, -7, ...

a)

Yes

b)

No

29.

Is the sequence arithmetic?

78, 785, 7855, 78555, ...

a)

Yes

b)

No

30.
Find the 25th term of the sequence if a1 = 5 and d = 0.5
a)
18
b)
17
c)
15
d)
14
31.

Define arithmetic sequences.

a)

A sequence whose terms change by adding the same number each time.

b)

A sequence whose terms change by multiplying the same number each time.

c)

A sequence whose terms change by dividing the same number each time.

d)

A list of numbers that often (but not always) form a pattern.

32.

Sometimes sequences are described in subscript notation.

Given a1=−5a_1=-5  and an=an−1+3a_n=a_{n-1}+3  , what are the first 4 terms in the sequence?

a)

-5, -2, 1, 4

b)

-5, -8, -11, -14

c)

3, -2, -7, -12

d)

3, -15, 75, -375

33.
Identify a1 and d for the sequence
-5, -2, 1, 4, ...
a)
a1 = 3 and d = -5
b)
a1 = -8 and d = 3
c)
a1 = -5 and d = 3
d)
a1 = -5 and d = -3
34.

Write the EXPLICIT rule for the arithmetic sequence

-10, -3, 4, 11,...

a)

an = 10n + 17

b)

an = 7n - 17

c)

an = -7n + 17

d)

an = 7n + 3

35.
Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...
a)
an = 12n - 14
b)
an = 2n - 14
c)
an = -2n + 14
d)
an = -12n + 14
36.

Write the recursive rule for the arithmetic sequence

82, 76, 70, 64, ...

a)

a1= 82; an = an-1 - 6

b)

a1= 64; an = an-1 - 6

c)

a1= 82; an = an-1 + 6

d)

a1= 64; an = an-1 + 6

37.
Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...
a)
81
b)
-34
c)
-146
d)
-225
38.

Name the Sequence:

300, 150, 75, 37.5.....

a)

A. Arithmetic

b)

B. Geometric

c)

C. Recursive

d)

D. Explicit

39.

The Recursive Formula for the Arithmetic Sequence is:

a)

A.   an = a1 + d (n−1)A.\ \ \ a_n\ =\ a_1\ +\ d\ \left(n-1\right)  

b)

B.  an = a(n−1) + dB.\ \ a_{n\ }=\ a_{\left(n-1\right)}\ +\ d  

c)

an = a1 ⋅ r (n−1)a_{n\ }=\ a_{1\ }\cdot\ r\ ^{\left(n-1\right)}  

d)

an = a(n−1) ⋅ ra_n\ =\ a_{\left(n-1\right)}\ \cdot\ r  

40.

The Explicit Formula for the Arithmetic Sequence is:

a)

A.   an = a1 + d (n−1)A.\ \ \ a_n\ =\ a_1\ +\ d\ \left(n-1\right)  

b)

B.  an = a(n−1) + dB.\ \ a_{n\ }=\ a_{\left(n-1\right)}\ +\ d  

c)

an = a1 ⋅ r (n−1)a_{n\ }=\ a_{1\ }\cdot\ r\ ^{\left(n-1\right)}  

d)

an = a(n−1) ⋅ ra_n\ =\ a_{\left(n-1\right)}\ \cdot\ r  

41.

Match the equation to the story problem.


Bobby has 56 cookies and shares them with 7 friends. How many cookies does each friend get?

a)

56 ÷ ? = 7

b)

56 + 7 = ?

c)

56 ÷ 7 =?

d)

7 x ? = 56

42.

Which problem could be solved using the open sentence, 4t=12

a)

Katelyn ran 4 miles on Monday. She ran some more on Tuesday. By the end of her run on Tuesday, she had run 12 miles. How many miles did she run on Tuesday?

b)

Katelyn ran 4 days this week. She ran 12 miles this week. How many miles did she run each day?

c)

Katelyn ran 12 miles last week. She ran 4 times as many miles this week. How many miles did she run last week?

d)

Katelyn ran 12 miles on Monday. She ran 4 fewer miles on Tuesday. How many miles did she run on Tuesday?

43.
Which replacement value of x solves the equation:
x - 3 = 21?
a)
x = 18
b)
x = 7
c)
x = 24
44.
Which represents the unknown value in the following statement? 
7 + j = 15
a)
7
b)
+
c)
j
d)
12
45.

Is 3 a solutions for 20 - y = 17

a)

Yes

b)

No

46.

Find the variable to make the number sentence true:


60 x p = 12 x 10

a)

p = 2

b)

p = 120

c)

p = 4

d)

p = 20

47.

What is an expression for u fewer than 73.

a)

73 - u

b)

u - 73

c)

u + 73

48.
If g = 3, which number sentence is true? 
a)
g x 5 = 15
b)
g / 5 = 15
c)
15 + g = 5
d)
g + 5 = 15
49.

Which mathematical sentence represents the following word problem?


"How many cards are in a set of football cards if the set plus five more equals 62 cards, where f stands for the number of football cards in the set?"

a)

f + 5 =62

b)

f x 5 = 62

c)

f - 5 = 23

d)

f/5 = 23

50.
Belle has 23 ornaments on her tree.  She purchased more ornaments to have a total of 40 ornaments on her tree.  Which equation would best be used to determine how many ornaments were purchased? 
a)
40 + t = 23
b)
40 - 23 = t 
c)
23 + t = 40 
d)
23 - t = 40 
51.

Match the equation to the story problem.


Bobby has 56 cookies and shares them with 7 friends. How many cookies does each friend get?

a)

56 ÷ ? = 7

b)

56 + 7 = ?

c)

56 ÷ 7 =?

d)

7 x ? = 56

52.

Which problem could be solved using the open sentence, 4t=12

a)

Katelyn ran 4 miles on Monday. She ran some more on Tuesday. By the end of her run on Tuesday, she had run 12 miles. How many miles did she run on Tuesday?

b)

Katelyn ran 4 days this week. She ran 12 miles this week. How many miles did she run each day?

c)

Katelyn ran 12 miles last week. She ran 4 times as many miles this week. How many miles did she run last week?

d)

Katelyn ran 12 miles on Monday. She ran 4 fewer miles on Tuesday. How many miles did she run on Tuesday?

53.
Which replacement value of x solves the equation:
x - 3 = 21?
a)
x = 18
b)
x = 7
c)
x = 24
54.
Which represents the unknown value in the following statement? 
7 + j = 15
a)
7
b)
+
c)
j
d)
12
55.

Is 3 a solutions for 20 - y = 17

a)

Yes

b)

No

56.

Find the variable to make the number sentence true:


60 x p = 12 x 10

a)

p = 2

b)

p = 120

c)

p = 4

d)

p = 20

57.

What is an expression for u fewer than 73.

a)

73 - u

b)

u - 73

c)

u + 73

58.
If g = 3, which number sentence is true? 
a)
g x 5 = 15
b)
g / 5 = 15
c)
15 + g = 5
d)
g + 5 = 15
59.

Which mathematical sentence represents the following word problem?


"How many cards are in a set of football cards if the set plus five more equals 62 cards, where f stands for the number of football cards in the set?"

a)

f + 5 =62

b)

f x 5 = 62

c)

f - 5 = 23

d)

f/5 = 23

60.
Belle has 23 ornaments on her tree.  She purchased more ornaments to have a total of 40 ornaments on her tree.  Which equation would best be used to determine how many ornaments were purchased? 
a)
40 + t = 23
b)
40 - 23 = t 
c)
23 + t = 40 
d)
23 - t = 40 
61.

Convert the phrase into mathematical expression:

"the sum of a number and 13"

a)

x - 13

b)

x + 13

c)

13x

d)

x/13

62.

Convert the phrase into mathematical expression:

"3 more than twice a number"

a)

2x + 3

b)

2(x+3)

c)

(3+2)x

d)

3/2x

63.

Convert the phrase into mathematical expression:

"the difference between 23 and twice a number"

a)

2x - 23

b)

(23 - 2)x

c)

23 + 2x

d)

23 - 2x

64.

The price of a book and two pens is x dollars.

If the pen costs $0.35 , what is the cost of a book?

a)

x + 0.35

b)

x + 0.70

c)

x - 0.70

d)

x - 0.35

65.

To convert the temperature in Celcius [C] to Fahrenheit [F], we can use the formula:

F = 9C/5 + 32

What is the degree in Fahrenheit when it is 30 C?

a)

56

b)

86

c)

88

d)

68

66.

What is the value of x2−3x−10x^2-3x-10   when x=5x=5   ?

a)

0

b)

2

c)

4

d)

-5

67.

Simplify:

21x+x=21x+x=  

a)

22x

b)

21xx

c)

21x2

d)

22x2

68.

4x + 3y - x =

a)

4x + 2y

b)

7xy

c)

6xy

d)

3x+3y

69.

simplify

x2−4x+3x2+7+x=x^2-4x+3x^2+7+x=  

a)

4x2−4x+74x^2-4x+7

b)

3x2−3x+73x^2-3x+7

c)

4x2−3x+74x^2-3x+7

d)

3x2−4x+73x^2-4x+7

70.

What is the perimeter of the rectangle:

a)

2x + 7

b)

4x + 14

c)

2x + 14

d)

4x + 7

71.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
72.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
73.
Add the polynomials.
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
74.
Add the polynomials.
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
a)
4x3 + 1x2 – 3x + 1
b)
2x3 + 1x2 - 5x + 9
c)
6x3 + 1x - 1x2 - 3
d)
3x5 +1x - 1x5 - 3x
75.
What is the standard form of the polynomial,
 9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
76.
Find the sum.
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
a)
4x3 + 1x2 – 3x + 1
b)
2x3 + 1x2 - 5x + 9
c)
6x3 + 1x - 1x2 - 3
d)
3x5 +1x - 1x5 - 3x
77.
Add: (3x - 2) + (3x2 + 6x)
a)
3x2 + 9x - 2
b)
6x2 + 4x
c)
3x2 + 3x - 2
d)
6x2 + 6x - 2
78.
Add: (3x2 + 2x + 1) + (2x2 - 4x - 5) + (3x - 1)
a)
5x2 + 6x - 7
b)
8x2 - 3x - 5
c)
5x2 + x - 5
d)
6x2 + 8x + 5
79.
Subtract: (2a2 + 5a + 3) -(a2 - 3a - 4)
a)
3a2 + 2a - 1
b)
a2 + 8a + 7
c)
3a2 + 8a + 7
d)
a2 + 2a - 1
80.

Combine like terms:

8x3y + 3x2y + 4xy + 5x2y + 2xy + 7x2y

a)

8x3y + 8x2y + 2xy

b)

11x3y + 15x2y + 8xy

c)

8x3y + 15x2y + 6xy

d)

23x2y + 6xy

81.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
82.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
83.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7 
b)
5a3 - 4a2 - 14a - 7 
c)
5a3 - 4a2 - 20a - 7 
d)
5a3 - 9a2 - 20a - 7
84.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
85.

Convert to a decimal

a)

0.25

b)

0.7

c)

0.34

d)

0.75

86.

Convert to a decimal

a)

0.6

b)

0.3

c)

0.35

d)

0.06

87.

Convert to a decimal

a)

0.67

b)

6.7

c)

0.067

d)

6.07

88.

Convert to a decimal

a)

0.77

b)

1.77

c)

17.7

d)

0.177

89.

Convert to a decimal

a)

0.666...

b)

1.5

c)

0.5

d)

1.666...

90.

Convert to a decimal

a)

1.5

b)

10.5

c)

5.5

d)

11.5

91.

Convert to a decimal

a)

2.2

b)

1.8

c)

1.4

d)

0.8

92.

Convert 19% to a fraction

a)

19/100

b)

9/20

c)

1/9

d)

9/50

93.

Convert 30% to a fraction

Simplify as much as possible

a)

30/100

b)

15/50

c)

3/10

d)

1/3

94.

Convert 40% to a fraction

Simplify as much as possible

a)

40/100

b)

4/10

c)

2/5

d)

1/4

95.

Convert 60% to a fraction

Simplify as much as possible

a)

60/100

b)

6/10

c)

3/5

d)

1/6

96.

Convert 25% to a fraction in its simplest form

a)

2/5

b)

25/100

c)

5/20

d)

1/4

97.

Convert to a percentage

a)

12%

b)

25%

c)

20%

d)

50%

98.

Convert to a percentage

a)

43%

b)

25%

c)

75%

d)

34%

99.

Convert to a percentage

a)

7%

b)

70%

c)

49%

d)

35%

100.

Convert to a percentage

a)

23%

b)

2.3%

c)

0.23

d)

32%

101.

Convert to a percentage

a)

20%

b)

25%

c)

5%

d)

21%

102.
Change 0.384 to a percent.
a)
3.84%
b)
384%
c)
38.4%
d)
38.4
103.

What number is 40% of 40?

a)

14

b)

16

c)

18

d)

40

104.
Write 0.39 as a percent.
a)
39
b)
3.9%
c)
39%
d)
.0039%
105.

The hypotenuse is always.............

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

106.
Identify the hypotenuse.
a)
x
b)
z
c)
w
107.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right-angled triangle

b)

Obtuse-angled triangle

c)

Isosceles triangle

d)

Equilateral triangle

e)

Acute-angled triangle

108.

What is the relation between the three sides of the right-angle triangle in the figure?

a)

a2+b2=c2

b)

a+b=c

c)

a2-b2=c2

d)

c-a=c

109.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

x2+y2=z2x^2+y^2=z^2

b)

x2+z2=y2x^2+z^2=y^2

c)

y2+z2=x2y^2+z^2=x^2

d)

x+z=yx+z=y

110.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
111.
Find x.
a)
35
b)
20
c)
8
d)
12
112.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
113.
a)

36.1

b)

36

c)

38.5

d)

32.1

114.

What is the length of the monitor diagonally in two decimal places ?

a)

32.1

b)

32.10

c)

54.75

d)

47.2

115.
Which side is X?
a)
Adjacent
b)
Hypotenuse
116.
Which side is X?
a)
Adjacent
b)
Hypotenuse
117.
Which side is X?
a)
Adjacent
b)
Hypotenuse
118.
Which side is X?
a)
Adjacent
b)
Hypotenuse
119.
Which side is X?
a)
Adjacent
b)
Hypotenuse
120.
Which side is X?
a)
Adjacent
b)
Hypotenuse
121.

What do you do to calculate X2X^2  

(a)  

122.

What is the formula for finding the length of the hypotenuse in words?

(a)  

123.

What is the formula for finding the length of one of the adjacent sides?

(a)  

124.

For the triangle shown what is the length of X? (show your working)

(a)  

125.

For the triangle shown what is the length of X? (show your working)

(a)  

126.

For the triangle shown what is the length of X? (show your working)

(a)  

127.

For the triangle shown what is the length of X? (show your working)

(a)  

128.

For the triangle shown what is the length of X? (show your working)

(a)  

129.

For the triangle shown what is the length of X? (show your working)

(a)  

130.

For the triangle shown what is the length of X? (show your working)

(a)  

131.

For the triangle shown what is the length of X? (show your working)

(a)  

132.

For the triangle shown what is the length of X? (show your working)

(a)  

133.

For the triangle shown what is the length of X? (show your working)

(a)  

134.

Use Pythagoras theorem to calculate the height of this triangle.

(a)  

135.

Use Pythagoras theorem to calculate the height of this triangle.

(a)  

136.

Use Pythagoras theorem to calculate the height of this triangle.

(a)  

137.

You have a job of building a tower to hold an antenna on a bush property. The tower needs to be 12 metres tall and its base needs to be three metres wide diagonally. The design specifies that the tubes for each leg must be continuous lengths of pipe (no joins). How long does each pipe need to be in centimetres?

(a)  

138.
What is the formula for finding the length of the hypotenuse?
a)

a2 + b2 = c2a^2\ +\ b^2\ =\ c^2  

b)

a×2+b×2=c×2a\times2+b\times2=c\times2  

c)

c2−a2=b2c^2-a^2=b^2  

d)

(c−a)2=b2\left(c-a\right)^2=b^2  

139.

What is the formula for finding the length of an adjacent side?

a)

a2 + b2 = c2a^2\ +\ b^2\ =\ c^2  

b)

a×2+b×2=c×2a\times2+b\times2=c\times2  

c)

c2−a2=b2c^2-a^2=b^2  

d)

(c−a)2=b2\left(c-a\right)^2=b^2  

140.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
141.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
142.
Identify the hypotenuse.
a)
x
b)
z
c)
w
143.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
144.
solve for c
a)
7
b)
9
c)
4
d)
13
145.
To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 
a)
35
b)
22
c)
58
d)
75
146.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
147.
Find x.
a)
35
b)
20
c)
8
d)
12
148.

Find the missing side of this right angled triangle...

a)

4.1cm

b)

2.4cm

c)

2.5cm

d)

4.2cm

149.

The hypotenuse is always.............

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

150.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

x2+y2=z2x^2+y^2=z^2

b)

x2+z2=y2x^2+z^2=y^2

c)

y2+z2=x2y^2+z^2=x^2

d)

x+z=yx+z=y

151.
a)

11

b)

12

c)

9.8

d)

11.5

152.

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?

a)

2 cm

b)

8 m

c)

2 m

d)

5 m

153.

If a man goes 15 m due north and then 8 m due east, then his distance from the starting point is :

a)

7 m

b)

17 m

c)

23 m

d)

120 m

154.
a)
A
b)
B
c)
C
d)
D
155.
a)
A
b)
B
c)
C
d)
D
156.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

Yes

b)

No

157.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

None

158.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

159.
a)

I only

b)

II only

c)

III only

d)

None of the above

160.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
161.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
162.
Identify the hypotenuse.
a)
x
b)
z
c)
w
163.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
164.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
165.
solve for c
a)
7
b)
9
c)
4
d)
13
166.
To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 
a)
35
b)
22
c)
58
d)
75
167.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
168.
Find x.
a)
35
b)
20
c)
8
d)
12
169.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
170.
x + 5 > 3
a)
x > -2
b)
x < 8
c)
x ≥ 2
d)
x ≥ 8
171.

-d - 2 ≥ -1

a)
d ≥ 3
b)
d > 1
c)
d < -1
d)
d ≤ -1
172.
b + 9 ≥ -3
a)
b ≤ -12
b)
b > 6
c)
b < -6
d)
b ≥ -12
173.

-7 -y > -2

a)
y ≥ 9
b)
y > 9
c)
y < -5
d)
y ≥ 5
174.

-9 - t > 9

a)
t ≥ 18
b)
t < '-18
c)
t < 0<br />
d)
t ≤ 0<br />
175.

-c - 3 < 2

a)
c ≥ 1
b)
c > '-5
c)
c ≥ 5
d)
c < 1
176.

-r - 7 < 1

a)
r < 8
b)
r ≥6
c)
r > '-8
d)
r ≤ -6
177.

-8 - w > 9

a)
w < '- 17
b)
w > 17
c)
w ≥ -17
d)
w ≤ 1
178.

-b - 4 ≤ -4

a)
b > 0
b)
b ≥ 0
c)
b < 8
d)
b ≤ 8
179.
-m + 8 < 3
a)
m > 5
b)
m > 11
c)
m ≥ -5
d)
m ≤ 11
180.
Which inequality symbol has a closed circle?
a)
<
b)
≤
181.
Which inequality symbol has a open circle?
a)
<
b)
≤
182.
Does the sign need to flip when solving?
-2x ≥ 22
a)
YES
b)
NO
183.

Solve:

-8b - 8 > 56

a)

b > 6

b)

b < -8

c)

b > -8

d)

b > 7/2

184.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
185.

-b + 9 ≥ -3

a)
b ≤ -12
b)
b > 6
c)
b < -6
d)
b ≥ -12
186.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
187.

Which inequality represents the solution set shown on the graph above?

a)

x<4x<4

b)

x>4x>4

c)

x≤4x\le4

d)

x≥4x\ge4

188.

Given the graph above, which number is NOT a part of the solution set?

a)

-2

b)

-1

c)

0

d)

1

189.

Which inequality represents the solution set shown on the graph above?

a)

x<−1x<-1

b)

x>−1x>-1

c)

x≤−1x\le-1

d)

x≥−1x\ge-1

190.
Solve:
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
191.
Solve:
7(x + 3) < 5x + 13
a)
x>-4
b)
x < 17
c)
x<-4
d)
x > -17
192.
solve 5( 6 + 3r) + 7 ≥ 127
a)
r ≤ 6
b)
r ≥ 6
c)
r ≤ -6
d)
r ≥ -6
193.
Solve and graph the inequality.
77 ≤ 5 + 8n
a)
A
b)
B
c)
C
d)
D
194.
My sister plans to sell more than 250 boxes of cookies.
a)
c>250
b)
c<250
c)
c≤250
d)
c≥250
195.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
196.
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
197.
Edith must read for a minimum of 20 minutes every night.
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
198.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

199.

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

200.
-2x + 7 < 19
a)
x < 6
b)
x < -6
c)
x > 6
d)
x > -6

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