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8th Grade Math 1st DCA Review

Total questions: 24

Worksheet time: 2hrs 32mins

Name
Class
Date
1.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
2.

Place numbers in order from greatest to least.

a)

6 1/6, 62%, 0.6, 2π, -0.062

b)

2π, 62%, 6 1/6, 0.6, -0.062

c)

6 1/6, 2π, 62%, 0.6, -0.062

d)

2π, 6 1/6, 62%, 0.6, -0.062

3.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
4.
Estimate the square root.
a)
4.2
b)
4
c)
4.6
d)
5
5.

Classify the number by checking all that apply!


-6.75


(Hint: every number shown is a REAL number!)

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

6.

Classify the numbers by checking all that apply!

 175\sqrt{175}  

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

7.

Classify the number by checking all that apply!

 5π5\pi  
(Anything with  π\pi  is irrational)

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

8.

Classify the number by checking all that apply!

 9-\sqrt{9}  

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

9.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

10.

Solve for x:

2x - 5 = 3x + 4

a)

x = 6

b)

x = -9

c)

x = -18/13

d)

x = 10/3

11.
Two seventh-grade classes are selling raffle tickets to raise money.
-One class is selling tickets for $3.50 each and has already raised $400.
-The other class is selling  tickets for $2.00 each and has already raised $300.
Which equation can be used to find m, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?
a)
5.5m = 700
b)
3.50m = 2m + 300
c)
3.5m + 400 = 2m + 300
d)
3.5 + 400m = 2 + 300m
12.
Mona is ordering cups for her school.  Company A charges $3.50 for each cup and a one-time starter fee of $14.  Company B charges $0.50 for each trophy and a one-time starter fee of $22.  
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?
a)
3.5x + 14 < 0.5x + 22
b)
3.5x + 14 > 0.5x + 22
c)
3.5 + 14x < 0.5 + 22x
d)
3.5 + 14x > 0.5 + 22x
13.
The equation below represents the amount of fees charged by two companies.
20 + 1.20v = 5 + 4v
Which scenario best describes the fees charged when v represents the number of miles.
a)
GO charges $1.20 per mile.  MILA charges $4 per mile.
b)
GO charges $20 per mile and a renting cost of $1.20.  MILA charges $5 per mile and a $4 renting cost.
c)
GO charges $1.20 per mile and a renting cost of $20.  MILA charges $4 per mile and a $5 renting cost.
d)
GO charges $1.20 per mile and a renting cost of $20.  MILA charges $5 per mile and a $4 renting cost.
14.
Plop has $50 and spends $3 every day.  Flip has $4 and saves $3 every day.  Which equation could be used to determine when they have the same amount of money?
a)
50 + 3x = 4 - 3x
b)
50 - 3x = 4 - 3x
c)
50 + 3x = 4 + 3x
d)
50 - 3x = 4 + 3x
15.

Find the volume of this shape. Use the pi key.

a)

6082.12 cm3

b)

276.46 cm3

c)

552.93 cm3

d)

1520.53 cm3

16.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
17.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
18.
What is the formula for Volume of a Cone?
a)
V=π r3h
b)
V=π r2h
c)
V=(1/3)π r2h
d)
V=(4/3)π r3
19.
Mr. Quintero has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mr. Quintero's cup?
a)
21 cubic inches
b)
63 cubic inches
c)
66 cubic inches
d)
198 cubic inches
20.
Find the volume of the cone. (Round to the nearest integer.)
a)
1810 in³
b)
151 in³
c)
452 in³
d)
276 in
21.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
22.
You have a globe that has a radius of 11 inches. Find the volume of your globe. 
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
23.
If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.
a)
345.8
b)
523.6
c)
1436
d)
205.1
24.
What is surface area?
a)
Inside of the object
b)
the sum of all the areas of all the shapes that cover the surface of the object.
c)
Something Coach G made up?
d)
Surface area is what you get when you boil unicorn tears.