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Spring Final Review Algebra 1

Total questions: 40

Worksheet time: 2hrs 54mins

Name
Class
Date
1.

a)

x1/2

b)

x3

c)

x2

d)

x-2

e)

2

2.

(5x3) (2x2)

a)

10x5

b)

3x

c)

10x6

d)

7x5

e)

7x6

3.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
4.
a)
a8b13
b)
a2b7
c)
a15b30
5.
How many solutions will this system have?
a)
No Solution
b)
Infinitely Many Solutions
c)
No Clue
d)
One solution
6.

Solve the following system by graphing. What is the solution? HINT: Use desmos to find solutions.

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

7.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
the same line (coinciding lines)
8.

Which graph best represents the following inequality?

a)
b)
c)
d)
9.

Which graph represents the equation:


y = 2x + 2

a)
b)
c)
d)
10.
Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
11.

What is the slope

of the line?

a)

undefined

b)

zero

c)

1

d)

2

12.
What is the solution to the system? 
a)
(1,1)
b)
-2
c)
(1, 2)
d)
(1, -1)
13.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
14.

Multiply: (2x + 3)(3x + 4)

HINT: USE FOIL

a)

5x2 + 17x + 7

b)

6x2 + 17x + 12

c)

6x2 + 8x + 12

d)

6x2 + 9x + 12

e)

6x2 + 3x + 7

15.

Multiply: (b - 4)(3b + 2)

Hint: FOIL

a)

35b2 - 20b - 16

b)

12b3 + 10b - 8

c)

3b2 - 14b - 8

d)

3b2 - 10b - 8

e)

3b2 - 10b - 6

16.

Factor:

x2 + 12x + 20

a)

(x + 4)(x + 5)

b)

(x + 20)(x + 1)

c)

(x + 10)(x + 2)

d)

PRIME

e)

(x - 5)(x - 4)

17.

What is the GCF of 18k and 15k3

a)

3k2

b)

3k3

c)

3k

d)

5k

e)

6k

18.

Factor by finding the GCF and pulling it out.

6x2 - 4x

a)

2x(3x+2)

b)

2(3x+2)

c)

2x(3x-2)

d)

2(3x-2)

e)

4x(2x-1)

19.

Solve this "Red Rover" equation

16x-12=10x+6

20.

Name the polynomial based on the number of terms.

a)

Monomial

b)

Binomial

c)

Trinomial

21.

Name the polynomial based on the number of terms.

a)

Monomial

b)

Binomial

c)

Trinomial

22.

Find the product.

a)

8x3 – 4x2 + 7x

b)

15x3 – 45x2 + 10x

c)

15x2 – 45x + 10

d)

15x3 – 4x2 + 7x

23.

Multiply binomials using box method

a)

6x2+ 11x - 35

b)

5x2 + 31x - 2

c)

6x + 11x - 35

d)

5x + 10x - 35

e)

6x2 + 31x - 35

24.

Which of the following could be the correct set up for the Box Method when we multiply (x + 3) (2x - 4)

a)

A

b)

B

c)

C

d)

D

25.

What expression goes in the missing box?

a)

7

b)

-7

c)

7x

d)

-7x

26.

Which is the correct way to set up the box method to multiply

(3x+8)(2x-5)

a)
b)
27.

Classify this monomial by its degrees: 4x3 y3

a)

3

b)

6

c)

9

d)

7

e)

12

28.

Classify 4mn2 + 2mn5 by degree

a)

3

b)

6

c)

9

d)

2

e)

5

29.
Write 0.00000054 in scientific notation.
a)
54 x 108
b)
5.4 x 107
c)
54 x 10-8
d)
5.4 x 10-7
30.
Write 42,000 in scientific notation.
a)
42.000 x 103
b)
4.2 x 10 -4
c)
4.2 x 104
d)
0.42 x 105
31.
Write 8.063 x 10-4                   in standard notation.
a)
0.00008063
b)
80,630
c)
0.0008063
d)
80,630,000
32.

Subtract the polynomials.

(2x + 5y) - (3x - 2y)

a)

-x + 3y

b)

-x + 7y

c)

5x + 7y

d)

7xy + 1xy

33.
Which of the following is a 5th degree trinomial with a leading coefficient of -2? 
a)
-2x5 + 3x - 1
b)
5x-2 +3x - 1
c)
-2x5 + 3x4 + 2x3 + x2 - 10
d)
2x + 5
34.
Factor: x2 - 4x + 4
a)
(x + 2)2
b)
(x - 2)2
c)
(x + 4)2
d)
(x - 4)2
35.
Factor: x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
36.

What is the product?

 (x+5)2\left(x+5\right)^2  

a)

 x2−10x−25x^2-10x-25  

b)

 −x2+10x−25-x^2+10x-25  

c)

 x2+10x−25x^2+10x-25  

d)

 x2+10x+25x^2+10x+25  

37.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
38.

Evaluate

a)

-1

b)

1/32

c)

-1/32

d)

1

39.
Determine the ordered pair that IS a solution.
a)
(2, 2)
b)
(2, 4)
c)
(3, 2)
d)
(-3, 2)
40.

Which point is a solution to the system of inequalities?

a)

(-8,2)

b)

(-2,-5)

c)

(0,6)

d)

(4, 3)

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