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Worksheets

ISAT Review

Total questions: 54

Worksheet time: 2hrs 59mins

Name
Class
Date
1.

Which of the following numbers is rational?

a)

7\sqrt{7}

b)

23\frac{2}{3}

c)

3.1456289...

d)

π\pi

2.

Determine whether π\pi  is rational or irrational.

a)

Rational

b)

Irrational

3.

Which of the following is an irrational number?

a)

0\sqrt{0}

b)

3\sqrt{3}

c)

1.361\overline{.36}

d)

0.19-0.19

4.

x5x^{-5}  =

a)

1x5\frac{1}{x^{-5}}  

b)

1x5\frac{1}{x^5}  

c)

x51\frac{x^5}{1}  

d)

x51\frac{x^{-5}}{1}  

5.

x3x4 =x^3\cdot x^4\ =  

a)

x12 x^{12\ }  

b)

x1x^{-1}  

c)

x7x^7  

d)

x34x^{34}  

6.

m2m6m=m^2\cdot m^6\cdot m=  

a)

m8m^8  

b)

m12m^{12}  

c)

m4m^4  

d)

m9m^9  

7.

x3x7x2x^{-3}\cdot x^7\cdot x^2  =

a)

x6x^6  

b)

x12x^{12}  

c)

x42x^{-42}  

d)

x12x^{-12}  

8.

x9x4\frac{x^9}{x^4}  =

a)

x13x^{13}  

b)

x36x^{36}  

c)

x5x^5  

d)

x5x^{-5}  

9.

(x7)2\left(x^7\right)^2  =

a)

x14x^{14}  

b)

x9x^9  

c)

x5x^5  

d)

2x72x^7  

10.

(x7)2\left(x^7\right)^2  =

a)

x14x^{14}  

b)

x9x^9  

c)

x5x^5  

d)

2x72x^7  

11.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
12.
Estimate the square root.
a)

4.2

b)

4.9

c)

5

d)

4

13.



How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
14.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
15.
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
16.

Solve by setting the x-sides equal and solving the equation.
y = 2x + 1
y = 4x - 1

a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
17.
Given the equation y = 7x + 11, write another equation that will result in “No Solution” when both equations are graphed.
a)
y = -7x
b)
y = 7
c)
y = 7x + 2
18.

1. There were approximately 11,000 students enrolled at Western Carolina last year. This figure goes up by about 225 students each year. Create an equation that can be used to find y, the total number of students, if x represents the number of years?

a)

y=225x+11000

b)

y=11000x+225x

c)

x=225y+11000

d)

y=225x

19.

2. Ted's Taxi service charges a $5 pick up fee plus $2 per mile. Create an equation that can be used to find y, the total cost, if x represents the number of miles?

a)

x=2y+5

b)

y=2x+5

c)

y=5x+2

d)

y=10x

20.

4. Alan buys a new car for $25,000. It depreciates at a rate of $2000 per year. Create an equation that can be used to find y, the value of the car, if x represents the number of years?

a)

y=-2000x-25000

b)

y=-25000x+2000

c)

y=23000x

d)

y=-2000x+25000

21.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
22.

Write a linear equation in the form of y=mx+b

a)

y = 3x - 3

b)

y = -3x + 3

c)

y = -3x - 3

d)

y = 3x + 3

23.

Write a linear equation in the form of y=mx+b

a)

y = -4x +6

b)

y = 6x - 4

c)

y = 4x - 6

d)

y = 3x - 2

24.

Write a linear equation in the form of y=mx+b

a)

y = 3x + 5

b)

y = 2x + 5

c)

y = 5x - 2

d)

y = -3x + 5

25.
Which equation matches the graph? (Click me to see the image)
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
26.
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
27.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
28.
Write the an equation for the graph shown.
a)
y = -2x + 2
b)
y = 2x + 2
c)
y = 1/2x- 2
d)
y = -1/2x + 2
29.

Which company shows a greater slope?

a)

Water's Edge Rafts

b)

Ryan's Rafts

30.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
31.

Who has the greater Slope?

a)

Smith has the greater slope.

b)

Harmon has the greater slope.

c)

Macey has the greater slope.

d)

They have the same slope.

32.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
33.
Translations are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
34.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
35.

If figure A is reflected over the x-axis and translated 2 units down and 4 units right, it is SIMILAR OR CONGRUENT to figure A''?

a)

Congruent

b)

Similar

36.

If figure C is reflected over the line y=x and dilated by a sale factor of 2, it is SIMILAR OR CONGRUENT to figure C''?

a)

Congruent

b)

Similar

37.

If figure G is rotated 90o CCW and dilated by a sale factor of .5, it is SIMILAR OR CONGRUENT to figure G''?

a)

Congruent

b)

Similar

38.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
39.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
40.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
41.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
42.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
43.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
44.
How do you find the volume of a cylinder?
a)
V= 1/πr2h
b)
V= 4/πr2h
c)
V= 4/πr3
d)
V= πr2h
45.
How do you find the volume of a cone?
a)
V= 1/πr2h
b)
V= 4/πr2h
c)
V= 4/πr3
d)
V= πr2h
46.

A jar of jam has a diameter of 6 cm and a height of 8 cm. If the jar is half full, then what is the volume of the jam in the jar?

a)

452.16

b)

904.32

c)

226.08

d)

113.04

47.

Describe the correlation.

a)

Negative correlation

b)

No correlation

c)

Positive correlation

d)

Constant correlation

48.

What type of correlation does this graph have?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

Constant correlation

49.

What type of correlation does this scatter plot show?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

Constant correlation

50.
Which statement best represents this relationship?
a)
There is no relationship between the number of miles driven and the amount of gas remaining in the tank
b)
As the number of miles driven increases, the amount of gas remaining in the tank increases.
c)
As the number of miles driven increases, the amount of gas remaining in the tank decreases.
d)
A relationship cannot be determined from this scatter plot
51.

Which graph shows a line of best fit (trend line) for the scatter plot?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

52.
Based on the scatterplot, what is the best prediction of the average number of hours a person spends at work every week, if that person spends an average of 10 hours on recreational activities every week?
a)
33 hours
b)
85 hours
c)
50 hours
d)
65 hours
53.
Based on the scatterplot, what is the best prediction of the average amount of money spent on groceries for a household of 7 people?
a)
$240
b)
$190
c)
$210
d)
$300
54.
Based on the scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?
a)
$135
b)
$115
c)
$105
d)
$150