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Alg 1 S2 Final Assessment

Total questions: 27

Worksheet time: 1hrs 21mins

Name
Class
Date
1.
Identify the slope...
a)
positive
b)
negative
c)
zero
d)
undefined
2.
Find the slope of the line that passes through (10, -8) and
(1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
3.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
4.
Determine the slope from the table. 
a)
-2
b)
2
c)
-1/2
d)
1/2
5.

For the equation: y - 3 = 2(x + 4),

the line has a slope of 2 and contains what point?

a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
6.
What is the rate of change for the line defined by the equation below? 
-x + 10y - 2 = 0 
a)
10
b)
5
c)
1/5
d)
1/10
7.

Write the following in Exponential Form

4 x 4 x 4 x 4 x 4

a)

45

b)

54

c)

1,024

8.

Write the following in Exponential Form

6

a)

61

b)

16

c)

6

9.
Choose the answer.
52 = ?
a)
10
b)
15
c)
20
d)
25
10.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
11.

What is the equation that represents the exponential function in the image below?

a)

y=3(½)x

b)

y=3(2)x

c)

y=(2)x

d)

y=2(3)x

12.

Which of the following functions represent the graph shown above?

a)

f(x)=10(12)xf\left(x\right)=10\left(\frac{1}{2}\right)^x

b)

f(x)=12(10x)f\left(x\right)=\frac{1}{2}\left(10x\right)

c)

f(x)=2(10)xf\left(x\right)=2\left(10\right)^x

d)

f(x)=10(2)xf\left(x\right)=10\left(2\right)^x

13.
Find the percent change.
Original amount:  10
New amount: 12
a)
20%
b)
12%
c)
15%
d)
50%
14.
Find the percent change.
Original amount:  16
New amount: 11
a)
5%
b)

-31%

c)

-.3%

d)
56%
15.

What are all of the factors of 12?

a)

1 and 12

b)

1, 2, 3, 4, & 6

c)

1, 2, 3, 4, 6, & 12

d)

12, 24, 36, 48, 72 , 84...

16.

What is the Greatest Common Factor of 12 and 18?

a)

1

b)

3

c)

6

d)

8

17.

Factor this expression:

4x + 8

a)

2(2x + 4)

b)

4(4x + 8)

c)

4(x + 2)

d)

8(x + 1)

18.

Write the following expression in factored form:

100r + 30rs

a)

5(20r + 6rs)

b)

10r(10 + 3s)

c)

10(10r + 3rs)

d)

5r(20 + 6s)

19.
Factor x2 + 7x + 12
a)
(x + 2)(x + 10)
b)
(x + 3)(x + 4)
c)
(x + 4)(x + 5)
d)
(x + 4)(x + 6)
20.

Factor as the product of two binomials.

x2−3x−10=x^2-3x-10=  

a)

(x+2)(x−5)\left(x+2\right)\left(x-5\right)  

b)

(x+2)(x+2)\left(x+2\right)\left(x+2\right)  

c)

(x⋅2)\left(x\cdot2\right)  

d)

(x+2)(x−2)\left(x+2\right)\left(x-2\right)  

21.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
22.
Factor completely: 3x² - 7x + 2
a)
(x - 1) (3x + 2)
b)
(x - 2) (3x -1)
c)
(x - 1) (3x - 2)
d)
(x + 2) (3x + 1)
23.
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter 
a)
a=0, b=5, c=7
b)
a=1, b=5, c=7
c)
a=7, b=5, c=1
24.
Solve Using the Quadratic Formula 
2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
25.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
26.

Factor 36x2 - 25

a)

(6x - 5)(6x + 5)

b)

(9x + 5)(4x - 5)

c)

(6x + 5)(6x + 5)

d)

(36x - 1)(x + 25)

27.

Factor x2 - 49

a)

(x - 7)(x + 7)

b)

(x - 7)(x - 7)

c)

(x + 7)(x + 7)

d)

Does not factor