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Worksheets

Fluency Marathon

Total questions: 101

Worksheet time: 2hrs 48mins

Name
Class
Date
1.

Rewrite in exponential form.

73767^3\cdot7^{-6}

What do you do with the base?

a)

Multiply

b)

Add

c)

Keep it

2.

373\cdot7

(a)  

3.

575\cdot7

(a)  

4.

979\cdot7

(a)  

5.

777\cdot7

(a)  

6.

676\cdot7

(a)  

7.

878\cdot7

(a)  

8.

Convert to a decimal.

12\frac{1}{2}

(a)  

9.

Convert to a decimal.

14\frac{1}{4}

(a)  

10.

Convert to a decimal.

110\frac{1}{10}

(a)  

11.

Convert to a decimal.

1100\frac{1}{100}

(a)  

12.

Convert to a decimal.

15\frac{1}{5}

(a)  

13.

What is 23\frac{2}{3} as a decimal?

a)

2.3

b)

.66\overline{.66}

c)

1.5

d)

.23

14.

What is 16\frac{1}{6} as a decimal?

a)

1.6

b)

.16

c)

.16.1\overline{6}

d)

6.1

15.

32353^2\cdot3^5

What is an equivalent expression?

a)

9109^{10}

b)

979^7

c)

373^7

d)

3103^{10}

16.

What is an equivalent expression?

3832\frac{3^8}{3^2}

a)

343^4

b)

363^6

c)

161^6

d)

141^4

17.

What is an equivalent expression?

5953\frac{5^9}{5^3}

a)

565^6

b)

535^3

c)

161^6

d)

131^3

18.

What is an equivalent expression?

(an)m\left(a^n\right)^m

a)

anma^{n\cdot m}

b)

a(n+m)a^{\left(n+m\right)}

19.

What is an equivalent expression?

(83)2\left(8^3\right)^2

a)

868^6

b)

858^5

20.

What is an equivalent expression?

(102)4\left(10^2\right)^4

a)

10810^8

b)

10610^6

21.

1  (1)-1\ -\ \left(-1\right)

(a)  

22.

1(1)1-\left(-1\right)

(a)  

23.

3 + 3-3\ +\ 3

(a)  

24.

7  (2)7\ \cdot\ \left(-2\right)

(a)  

25.

100 ÷(10)100\ \div\left(-10\right)

(a)  

26.

4  (3)-4\ \cdot\ \left(-3\right)

(a)  

27.

4  (3)-4\ -\ \left(-3\right)

(a)  

28.

4  (3)4\ -\ \left(-3\right)

(a)  

29.

4\sqrt[]{4}

(a)  

30.

196\sqrt[]{196}

(a)  

31.

81\sqrt[]{81}

(a)  

32.

36\sqrt[]{36}

(a)  

33.

- 36\sqrt[]{36}

(a)  

34.

Rational or irrational?

.54.\overline{54}

a)

Rational

b)

Irrational

35.

Rational or irrational?

13\frac{1}{3}

a)

Rational

b)

Irrational

36.

Rational or irrational?

13-\frac{1}{3}

a)

Rational

b)

Irrational

37.

83\sqrt[3]{8}

(a)  

38.

643\sqrt[3]{64}

(a)  

39.

Which transformation can result in an image that is not congruent?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

40.

2.13  10\cdot\ 10

(a)  

41.

5n - n

Simplify the expression

(a)  

42.

201220\cdot\frac{1}{2}

(a)  

43.

121312\cdot\frac{1}{3}

(a)  

44.

Find the value

808^0

(a)  

45.

Which is not a definition for slope?

a)

Each

b)

m

c)

riserun\frac{rise}{run}

d)

x = 0

46.

434^3

(a)  

47.

Two figures are (a)   when they have the same size and same shape.

48.

828^2

(a)  

49.

82-8^2

(a)  

50.

(8)2\left(-8\right)^2

(a)  

51.

101101\frac{10^1}{10^{-1}}

a)

10210^2

b)

10010^0

52.

If the radius is 5, the diameter is (a)  

53.

If the diameter is 8 the radius is (a)  

54.

π\pi

Rational or irrational?

a)

Rational

b)

Irrational

55.

39\frac{3}{9}

Write as a decimal.

a)

.39

b)

.39999

c)

.3.\overline{3}

d)

.93

56.

.7.\overline{7}

Write as a fraction in simplest form.

Put a slash sign (/) for the fraction.

(a)  

57.

A reflection over the x-axis changes the x-coordinate

a)

True

b)

False

58.

A reflection over the y-axis changes the y-coordinate

a)

True

b)

False

59.

If the slopes are the same and the y-intercepts are the same, then there are (a)   solutions

60.

If the slopes are different for two lines then there is ___ points of intersection for their graphs.

a)

1

b)

2

c)

Infinite

d)

None

61.

323^{-2}

a)

9

b)

-9

c)

-3

d)

19\frac{1}{9}

62.

What is the formula for slope intercept form?

a)

y = mx + b

b)

a2+b2=c2a^2+b^2=c^2

c)

ΔyΔx\frac{\Delta y}{\Delta x}

63.

What is the formula for the Pythagorean theorem?

a)

y = mx + b

b)

a2+b2=c2a^2+b^2=c^2

c)

ΔyΔx\frac{\Delta y}{\Delta x}

64.

What is the longest side of a right triangle?

a)

Leg

b)

Hypotenuse

65.

Which is the longest side of the right triangle?

a)

Yellow

b)

Blue

c)

Purple

66.

What operation cancels an exponent?

a)

Addition

b)

Division

c)

Subtraction

d)

Roots/Radicals

67.

Match the following

a)

slope

"movement"

1.

m

b)

y-intercept

"beginning"

2.

b

c)

y = mx + b

3.

Slope-Intercept Form

d)
4.

Slope

e)
5.

y-intercept

68.
Which of these following is not a type of slope
a)
positive
b)
negative
c)
undefined
d)
all of these are types of slope
69.
What is the slope of the line represented by the equation y = 7 - x?
a)
7
b)
0
c)
1
d)
-1
70.

What is the slope?

y=x+3y=x+3  

(a)  

71.

What is the slope of the graph?

a)

-2

b)

2

c)

1/2

d)

-1/2

72.

Select all that apply: In the y=mx+by=mx+b  equation, the m tells us...

a)

the slope of the line

b)

the y-intercept of the line.

c)

where the line crosses the y-axis.

d)

the rate of change of the line.

e)

the  riserun\frac{rise}{run}   of the line.

73.
What does the point (2, 94) represent in this situation?
a)
Every week, they earn $94.
b)
After 94 weeks, they save $2.
c)
After 1 week, they save $47.
d)
After 2 weeks, they save $94.
74.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
d)

60 hours/mile

75.
What makes a graph proportional?
a)
Straight Line
b)
The line goes through (0,0)
c)
Curvy line
d)
Straight line and passes through (0,0)
76.

What is a solution to a system of linear equations?

a)

The point where both lines intersect

b)

The point where the y-axis and x-axis meet

c)

An ordered pair that both lines share

d)

A salt dissolved in water

77.

What would the solution be to this system of linear equations?

a)

(0,-1.5)

b)

(1, -3)

c)

(5,0)

d)

(0,0)

78.

When would we get "infinitely many solutions" to a system of equations?

a)

The lines are parallel, never intersecting

b)

The lines cross at one point

c)

The lines are the same and overlap at all points

d)

The lines cross at 2 points

79.

When will we get "no solutions" from a system of equations?

a)

The two lines cross once

b)

The two lines are the same and overlap

c)

The two lines are parallel and never touch

d)

The two lines cross at 2 points

80.

What is the radius of this shape?

a)

18

b)

9

c)

36

d)

24

81.

What is the radius of this shape?

a)

8

b)

16

c)

21

d)

10.5

82.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

83.
What is the scale factor if the triangle on the left is the original?
a)
2
b)
3/2
c)
2/3
d)
1/2
84.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
85.

What is the reciprocal of 78\frac{7}{8}  ?

a)

1

b)

1416\frac{14}{16}  

c)

87\frac{8}{7}

d)

78\frac{7}{8}

86.

This is an example of:

a)

Equivalent fraction

b)

Improper fraction

c)

Mixed number

d)

Reciprocal

87.

To solve the equation, _________.

a)

add 2/3 to each side

b)

subtract -2/3 from each side

c)

multiply both sides by -3/2

d)

divide both sides by 2/3

88.

To solve, __________.

a)

subtract 1/12 from both sides

b)

divide each side by 12

c)

multiply both sides by 12

d)

add 1/12 to each side

89.

After you subtract 5 from both sides of the equation (3x + 5 = 20) what will the equation look like?

a)

3x = 25

b)

3x = 20

c)

3x = 3

d)

3x = 15

90.

What is the next step in the equation?

3x = 15

a)

Divide both sides by 3

b)

Add 3 and 15

c)

Subtract 3 and 15

d)

Multiply 3 and 15

91.

What is the last step you should do to solve this equation?

a)

Add 6 to both sides

b)

Divide both sides by -6

c)

Divide both sides by 36

d)

Multiply both sides by -6

92.

What is the last step you should do to solve this equation?

a)

Add 3 to both sides

b)

Multiply both sides by 14

c)

Divide both sides by -3

d)

Multiply both sides by -3

93.

which is the coefficient

6x + 12 = 36

a)

6

b)

6x

c)

12

d)

36

94.

The 7 in 4n + 7 is known as a (a)   .

95.

When the numerator and denominator of a fraction switch, it is known as a (a)   .

13 31\frac{1}{3}\rightarrow\ \frac{3}{1}

96.

686\cdot8

(a)  

97.

989\cdot8

(a)  

98.

13613-6

(a)  

99.

A (a)   is a relation where each input (x) has exactly one output (y).

100.

A number multiplying a variable is known as a (a)   .

6n

101.

The (a)   is where x = 0, the line crosses the y-axis, and the b in the equation y=mx+b