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8th grade Final Review 2019

Total questions: 64

Worksheet time: 2hrs 26mins

Name
Class
Date
1.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
2.
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
3.
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
4.
a)
Degree 1
b)
Degree 2
c)
Degree 4
d)
Degree 5
5.
Put in Standard Form.
12 - 3x3 - 10x - x2
a)
 - 3x3 - x2 - 10x + 12
b)
 3x3 - x2 + 10x + 12
c)
12 - 3x3 - 10x - x2
It is in Standard Form.
d)
12 - 10x - 3x3 - x2
6.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
7.
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
8.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
9.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
10.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
11.

Multiply

(x - 5)(x + 1)

a)

x2 - 4x - 5

b)

x2 + 6x - 5

c)

x2 - 5x - 4

d)

x2 - 4x - 4

12.

Multiply

(x - 3)(x +10)

a)

x2 - 7x + 13

b)

x2 - 6x - 30

c)

x2 + 7x - 30

d)

x2 + 13x + 30

13.
Multiply
(4x+3)(2x-1)
a)
8x2-2x-3
b)
8x-3
c)
8x2+6x-3
d)
8x2+2x-3
14.
5x(2x3+6)
a)
10x4+30x
b)
10x3+30x
c)
7x4+11x
15.
Multiply  7x2y3 (2x4y5+6xy3)
a)
14x8y15+42x2y9
b)
9x6y8+13x3y6
c)
14x6y8+42x3y6
d)
14x6y8+42x2y6
16.

Multiply

(4x+1)(5x−2)

a)

20x2 + 3x − 2

b)

20x2 − 11x + 5

c)

20x2 − 18x + 2

d)

20x2 − 3x − 2

17.

Multiply

(x-3)(x2+2x+7)

a)

x3-x2+x-21

b)

x3+5x+13x-21

c)

x3-3x2+7x-21

d)

x2+2x-3

18.
Area or triangle?
a)
20 cm2
b)
56 cm2
c)
28 cm2
d)
27 cm2
19.
Find the area of this triangle.
a)
240 ft2
b)
56 ft2
c)
66 ft2
d)
120 ft2
20.
What is this polygon called?
a)
Parallel
b)
Triangle
c)
Trapezoid
d)
Square
21.
Find the area of the trapezoid
a)
36 meters squared
b)
72 meters squared
c)
18 meters squared
22.
Find the Area.
a)
91 ft2
b)
77 ft2
c)
78 ft2
d)
105 ft2
23.
The area of a rectangle is 72 sq units.  One side length is 9 units.  What is the other side length?
a)
9 units
b)
7 units
c)
10 units
d)
8 units
24.
Find the area. 
a)
88 inches2
b)
60 inches
c)
88 inches 
d)
60 inches2
25.
Find the area of the parallelogram.
a)
15.6 m2
b)
30.6 m2
c)
13.26 m2
d)
13 - 50.... thats 47
26.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
27.
What is the area of a circle with a radius of 21 cm?
a)
1384.74 cm2
b)
2142.12 cm2
c)
4348.08 cm2
d)
1289.12 cm2
28.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
29.
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
a)
28 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
30.
Daniel wants to buy cookies for her friend. The radius of a cookie is 5 inches. What is the cookie’s circumference?
a)
10 in
b)
2.5 in
c)
15.7 in
d)
31.4 in 
31.

Find the missing side by using Pythagorean theorem

a)

29.2

b)

20

c)

400

d)

10

32.

Find the missing side by using Pythagorean theorem

a)

9

b)

41

c)

6.4

d)

3

33.
What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
34.
Solve the system of equations.
x + 2y = -3
x - y = -12
a)
(-9, 3)
b)
(-7 ,5)
c)
(3, 15)
d)
(9, 6)
35.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
36.

What is the solution to the system:

5x + 3y = 6

x - 3y = 12

a)

(3,3)

b)

(-3,-3)

c)

(3,-3)

d)

(3,-2)

37.
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
38.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
39.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
40.
 Identify the slope and y -intercept in the equation:
a)
y = 2x - 2
b)
y = -2x + 2
c)
y = -2x + 4
d)
y = 2x + 4
41.
Identify the slope and y intercept to write an equation of the line.
a)
y = 3x
b)
y = -3x -1 
c)
y = 3x +1
d)
y = -3x + 1
42.
 Identify the slope and y intercept to write an equation of the line.
a)
y = -1/4x + 2
b)
y = 1/4x + 2
c)
y = -4x + 2
d)
y = 4x - 2
43.
Identify the slope and y intercept to write an equation of the line.
a)
y = 5/2x + 3
b)
y = 5/2x +-3
c)
y = 5x -3
d)
y = 2x -3
44.

Solve the equations:

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

45.
Solve the equation:
½ (2x + 6) = 3x + 13
a)
no solution
b)
x = 8
c)
x = -5
d)
x = 7
46.
Which of the equations has no solution?
a)
2x + 1 = 5x - 3
b)
2(x - 7) = 2x-14
c)
3(2x+1) = 6x+1
d)
15x - 30 = 0
47.
Solve the equation:
4 - 6x - 2= -2(3x-1)
a)
no solution
b)
infinitely many solutions
c)
x = ⅓
d)
x = 4
48.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
49.

-20y + 15 = 2 - 16y + 11

a)

y = 1/4

b)

y = 1

c)

y = 1/2

d)

y = 2

50.

4(2a + 3) = −3(a − 1) + 31

a)

a = 4

b)

a = -2

c)

a = -4

d)

a = 2

51.
a)
5-8
b)
52
c)
25-8
d)
252
52.
a)
-6
b)
8
c)
-8
d)
1/8
53.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
54.

Which expression is equivalent to the given?

a)
b)
c)
d)
55.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
56.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
57.
Classify the number 3
a)
Natural, Whole, Integer, Rational
b)
Whole, Rational
c)
Integer
d)
Rational
58.
A repeating decimal is what type of number?
a)
Rational 
b)
Integer
c)
Natural 
59.

A non-repeating or non-terminating decimal is classified as ________________.

a)

rational, real

b)

irrational, real

c)

integer, rational, real

d)

whole, integer, irrational, real

60.

Classify the number:

a)

rational, real

b)

whole, Integer, rational, real

c)

integer, irrational, real

d)

irrational, real

61.

Classify the number:

a)

integer, rational, real

b)

rational, real

c)

irrational, real

d)

whole, integer, rational, real

62.

Simplify the radical

√75x²

a)

5x²√3

b)

5x

c)

5x√3x

d)

5x√3

63.

simplify the radical

√36n4

a)

6n

b)

6n⁴

c)

6n²√2

d)

6n²

64.

simplify the radical

2√18a6b2

a)

3a³b√2

b)

6a³b²√2

c)

6a³b√2

d)

2a³b√2

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