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Spiral Review

Total questions: 138

Worksheet time: 4hrs 37mins

Name
Class
Date
1.
Classify the Number: 120
a)
Counting, whole, integers rational, real
b)
Irrational, real
c)
whole
d)
Whole, counting
2.
Classify the number: Square root 169
a)
Irrational, real
b)
Square root
c)
Counting, whole, integer, rational, real
d)
Rational, real
3.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
4.
Classify the Number: square root 111
a)
Real, rational, integer, whole, counting
b)
Real, irrational
c)
Real, square root
d)
Imperfect square
5.
How can -7.5 best be classified?
a)
rational, real
b)
irrational, real
c)
rational
d)
irrational
6.
Zero can be classified as all of the following except which?
a)
Whole
b)
Rational
c)
Integer
d)
Natural
7.
π or PI is classified as which?
a)
Rational
b)
Irrational
c)
Rational, Real
d)
Irrational, Real
8.
Classify the following number:
1.01011011101111....
a)
Rational
b)
Irrational
9.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
10.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
11.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
12.
How do you write
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
13.
Which of these values is the GREATEST?
a)
63/7
b)
8.99
c)
450%
d)
-22
14.
Which set is in descending order?
a)
15%  .45  9/10
b)
.45  15%  9/10
c)
9/10  15%  .45
d)
9/10  .45  15%
15.
Which set of rational numbers is arranged from greatest to least?
a)
A -6/5, -1/2,0, 1/9, 0.6, 1.0
b)
B 7/6, 0.9, 1/2, 3/8, -1/10, -0.7
c)
C -3.25, 1/8, 7/5, 0.5, 1/3, 5/6
d)
D 9/8, 7/6, -5/12, -1.1, -10/5, -3.6
16.
Which number has a greater value?
a)
√2
b)
1 1/3
17.
Which number has a greater value?
a)
√6
b)
11/5
18.
Which number has a greater value?
a)
√3
b)
2
19.
Which number has a greater value?
a)
π
b)
22/7
20.
What does 3x mean?
a)
A. Three times X
b)
B. Three divided by X
c)
C. Three and X
21.
Which operation will cancel out multiplication?
a)
A.  Addition
b)
B. Subtraction
c)
C. Multiplication
d)
D. Division
22.
Translate: 
Four times a number plus six is 30.
a)
4 + 6 = 30
b)
4x + 6 = 30
c)
x + 4 times 6 = 30
d)
30 = 4x
23.
Solve:
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
24.
Solve:
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
25.
Solve:
-8 + 5x - 2 = 20
a)
6
b)
-6
c)
2
d)
-2
26.
Solve:
7x + 19 = -2x + 55
a)
4
b)
14.8
c)
8.2
d)
-4
27.
Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...
a)
Inverse operations
b)
math
c)
variable
d)
PEMDAS
28.
What is the first step (after setting up your workspace) in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
29.
a)
4
b)
4/3
c)
3/4
d)
2
30.
 0.5n + 8.7 = 12.35
a)
-8.3
b)
8.3
c)
7.3
d)
16
31.
Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.
a)
11x + 6 = 39
b)
11x - 6 = 39
c)
11 + 6x = 39
d)
66x = 39
32.
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
33.
a)
(1/5)
b)
5
c)
-5
d)
-(1/5)
34.
a)
4
b)
1
c)
-1
d)
0
35.

Sharon’s family budgeted $3000 for their vacation. Their budget consisted of $1850 for travel cost and $85 per day for hotel and other expenses. Which inequality will determine the amount of days Sharon’s family can stay on vacation?

a)

1850 + 85x < 3000

b)

1850 – 85x > 3000

c)

1850 + 85x < 3000

d)

1850 – 85x > 3000

36.

Brandon has at most $58 to spend on clothes. The shirts he wants to buy are on sale for $9 each, and the pair of pants he wants costs $21. All prices include tax. Which inequality could be used to determine s, the maximum number of shirts Brandon can buy if he also buys the pair of pants?

a)

21s + 9 < 58

b)

9s + 21 ≤ 58

c)

30s < 58

d)

9s – 21 ≤ 58

37.

Samuel has to spend at least $35 on movie rentals and snacks for the weekend in order to win free tickets to the movies. He spends $12 on popcorn and soda. If the movie store rents DVDs for $4 each, which inequality models n, the number of DVDs Samuel has to rent?

a)

4n – 12 < 35

b)

12n+4 < 12

c)

35 – 4n > 12

d)

4n + 12 > 35

38.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
39.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
40.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
41.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
42.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
43.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
44.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
45.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
46.
What direction is an undefined slope?
a)
horizontal
b)
vertical
47.
What is the slope?
a)
$2/1 mile drive
b)
$1/2 miles driven
c)
2 miles driven/$1 
d)
1 mile driven/$2
48.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
subtract y coordinates over subtract x coordinates
d)
all of the above
49.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 
a)
200
b)
150
c)
300
d)
75
50.
At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
51.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
52.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
53.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
54.
What is a synonym for slope?
a)
Length
b)
Width
c)
Steepness
d)
Area
55.
What is a synonym for slope?
a)
Rate of Change
b)
Linear
c)
Equation
d)
y-intercept
56.
What is the slope ratio?
a)
run/rise
b)
rise/run
57.
What is the slope formula?
a)
(y2-y1) / (x2-x1)
b)
(x2-x1) / (y2-y1)
c)
(x1-y1) / (x2-y2)
d)
(x2-y1) / (x1-y2)
58.
True or false: No matter where you draw the slope triangle, the ratio of rise to run will always reduce down to the same fraction on a straight line.
a)
True
b)
False
59.
What is the y-intercept?
a)
-1
b)
3
c)
-3
d)
-2
60.
What is the y-intercept for the given graph?
a)
-5
b)
5
c)
1
d)
-1
61.
What is the y-intercept?
a)
7
b)
5/2
c)
3
d)
-4
62.
What is the y-intercept in this table?
a)
(-2, -2)
b)
(1, 2)
c)
(0, 6)
d)
(6, 0)
63.
What is the y-intercept in this table?
a)
(-1, 9)
b)
(1, 1)
c)
(0, 5)
d)
(5, 0)
64.
What is the y-intercept in this table?
a)
(-2, -2)
b)
(1, 2)
c)
(0, 6)
d)
(6, 0)
65.
What is the y-intercept?
a)
1/2
b)
2
c)
7
d)
3
66.
a)
Sarah earned $10 for every hour she babysat
b)
Sarah earned $10 for babysitting and $1 extra for every hour
c)
Sarah earned $10 more than the number of hours she worked
d)
Sarah earned $10 for babysitting
67.
Victoria ran 3 laps before Gaby joined her and they continued running laps together. What is the relationship between Victoria's laps, v, and Gaby's laps, g?
a)
The value of g is 3 more than the value of v
b)
the value of g is 3 times the value of v
c)
The value of v is 3 more than the value of g
d)
the value of v is 3 times the value of g
68.
The table shows the admission price to the school football game.
Which equation describes the total admission (t) for the number of people (p)?
a)
t = 6p
b)
p = 6t
c)
6p = t
d)
6t = p
69.
Peeta can make 28 loaves of bread each hour. Write an equation to find the total number of bread loaves (b) Peeta can make in (h) hours.
a)
h = 28b
b)
28b = h
c)
28h = b
d)
b = 28h
70.
a)
y = x + 4
b)
y = 3x
c)
x = y + 4
d)
x = 3y
71.
a)
y = 3x
b)
y = x - 3
c)
y = x
d)
y = x + 3
72.
y = x + 9
a)
The value of y is 9 times the value of x.
b)
The value of y is 9 less than the value of x.
c)
The value of y is 9 more than the value of x.
d)
The value of x is 9 times the value of y.
73.
a)
x = 5y
b)
x = y5
c)
y = 5x
d)
y = x5
74.
Which equation can be used to represent the relationship between the Made Free Throws (f) and Minutes Practiced (p)?
a)
f = p17
b)
f = p + 17
c)
p = f + 17
d)
p = 17f
75.
a)
y = -2x
b)
y = x - 2
c)
y = 3x
d)
y = x - 3
76.
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
77.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
78.
a)
y = 60x
b)
y = 40x
c)
y = 80x
d)
y = 20x
79.
a)
y = 60x
b)
y = 40x
c)
y = 20x
d)
y = 50x
80.
a)
y = -2 + x
b)
y = x + 3
c)
y = x - 3
d)
y = x - 2
81.
What is the equation?
a)
y=-2x
b)
y=-4x+2
c)
y=2x-4
d)
y=-2x-4
82.
What is the equation?
a)
y=-2x
b)
y=-½X
c)
y=-2x+4
d)
y=2x
83.
What is the equation?
a)
y=-6x-3
b)
y=-½x+4
c)
y=2x-1
d)
y=½x
84.
What is the equation?
a)
y=2x+4
b)
y=-2x+4
c)
y=2x-4
d)
y=-2x-4
85.
What is the equation?
a)
y=2x-4
b)
y=-2x-4
c)
y=2x+4
d)
y=-2x+4
86.
Does this table represent a proportional or non-proportional relationship?  Why?
a)
It is proportional because 5x + 1 = y
b)
It is not proportional because it has a constant value in the equation. 
87.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
88.
Write an equation to represent the graph.  Is it proportional or non-proportional.
a)
y = 5x - 3.  It is proportional
b)
y - 3 = 5x.  It is proportional
c)
y = -5x - 3.  It is not proportional
d)
y = 5x - 3.  It is not proportional.
89.
A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $0.75 discount. What is the equation that represents the value of a customer's order who uses the new coupon with their order?
a)
y = 6.50x - 0.75
b)
y = 6.50x + 0.75
c)
y = 6.50x - 1.50 - 0.75
d)
y = 5x - 0.75
90.
Using the graph, find the slope
a)
4/3
b)
3/4
c)
-4/3
d)
-3/4
91.
Randy charges his tenants $425 each month to rent his houses plus $600 security deposit. What equation best represents how much his tenants will now have to pay? 
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
92.
Find the slope from the table.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
93.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
94.
What type of angle is shown?
a)
a 90 degree angle
b)
a 180 degree angle
c)
an acute degree angle
d)
an obtuse angle
95.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

96.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
97.
Solve for x.
a)
16
b)
11
c)
50
d)
6
98.

What is the measure of angle b?

a)

117o

b)

63o

c)

56o

d)

36o

99.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
100.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
101.
Solve for x THEN find the degrees for angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
102.

Triangle sum theorem tells us....

a)

The sum of the exterior angles of a triangle are equal to the remote interior angles.

b)

The sum of the interior angles in a triangle is 180°.

c)

The sum of the interior angles in a triangle is 360°.

d)

The angle bisector creates two congruent angles.

103.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
104.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
105.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
106.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
107.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
108.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
109.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
110.
What is the supplement angle to 45°?
*REMEMBER WHAT SUPPLEMENTARY ANGLES ADD TOO!
a)
45°
b)
180°
c)
135°
d)
100°
111.
Find L
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
112.
Identify the correct statement.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
113.

Line M & N are parallel. Determine the value of x.

a)

-20

b)

5

c)

20

d)

27.5

114.
What value of x will make m parallel to n?
a)
113
b)
166
c)
19
d)
133
115.
Question #12
a)
x = 25
b)
x = 35
c)
No Solution
d)
Infinite Solutions
116.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
117.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
118.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
119.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
120.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
121.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
122.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
123.
The Pythagorean Theorem is
a2 + b= c4
a)
false
b)
true
124.
Solve for the walkway length
a)
30
b)
40
c)
58
d)
35
125.
To get from one side of the pond to the other you must walk 34 meters south and 41 meters east.  To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.  
a)
53
b)
22
c)
75
d)
9
126.
A baseball diamond is a square with sides of 90 feet.  What is the distance to the nearest foot that a 3rd baseman has to make if he throws a ball from first base to third base. 
a)
90
b)
127
c)
180
d)
128
127.
Trista's TV screen is 17 inches long. If the diagonal measures 22 inches, how long is the width of Donna's TV? 
a)
5 in
b)
10 in
c)
14 in
d)
28 in
128.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
129.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
130.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

131.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
132.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

133.

Sides a and b are called legs.

a)

true

b)

false

134.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true
135.

a= 12, b= 35, c= ? Find c

a)

32

b)

37

c)

19

d)

20

136.

All of the a square plus all of the b square will perfectly fill the c square with nothing left over.

a)

True

b)

False

137.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

138.

Do the lengths form a right triangle? 6, 8, 10

a)

yes

b)

no