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Worksheets

Algebra Review

Total questions: 20

Worksheet time: 1hrs 24mins

Name
Class
Date
1.
Find the sum. 
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x+ 2x - 2
c)
5x2
d)
5x2 + 6x + 8
2.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
3.
Add or Subtract to Simplify:
(x5 + x3) - (6x - x3 + 6x5)
a)
-5x5 + 2x3 - 6x
b)
7x5 - 6x
c)
-5x3 + 2x2 - 6x
d)
-5x5 - 6x
4.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

5.

Choose the correct answer below.

a)

2x23x+14-2x^2-3x+14

b)

7x4+9x34x23x47x^4+9x^3-4x^2-3x-4

c)

7x5x4+10x3x77x^5-x^4+10x^3-x^7

d)

3x4+4x36x2+63x^4+4x^3-6x^2+6

6.
Is the result rational or irrational? Explain.
a)
Rational; The sum of two rationals is always rational.
b)
Irrational; The sum of a rational and an irrational is always irrational.
c)
Rational; The product of two rationals is always rational.
d)
Irrational; The product of a nonzero rational and an irrational is always irrational.
7.
Is the result rational or irrational? Explain.
a)
Rational; The sum of two rationals is always rational.
b)
Irrational; The sum of a rational and an irrational is always irrational.
c)
Rational; The product of two rationals is always rational.
d)
Irrational; The product of a nonzero rational and an irrational is always irrational.
8.

What type of polynomial is this?

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

9.

What type of polynomial is this?

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

10.

What is the degree of this polynomial?

a)

1

b)

2

c)

3

d)

−1

11.

Level 3

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

12.

Solve the equation:

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

13.
-7x - 36 = 20 -3x
a)
-12
b)
-14
c)
15
d)
8
14.
Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?
a)
4 boxes
b)
5 boxes
c)
6 boxes
d)
7 boxes
15.
Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.
a)
.50x + 20 = 35
b)
.50x = 35
c)
.50 + 20x = 35 
d)
.50x - 20 = 35
16.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
17.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
18.

Joan needed at least $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. What is the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

at least 18 hours

b)

no more than 18 hours

c)

at least 22 hours

d)

no more than 22 hours

19.
Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?
a)
20x + 120 ≥ 3
b)
x/3 + 20 ≤ 120
c)
3x + 20 ≤ 120
d)
3x + 20 ≥ 120
20.
The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?
a)
125x + 55 ≤ 600
b)
125x + 55 ≥ 600
c)
125x + 55 > 600
d)
125x + 55 < 600