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Algebra 1 Semester 2 Final Review

Total questions: 37

Worksheet time: 2hrs 38mins

Name
Class
Date
1.

What is the solution to the system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

2.

Solve the system of equations.

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

3.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
4.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
a)
1.5x+0.5y=78.5
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
5.

According to exponent rules, when we multiply terms with the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

6.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

7.

According to exponent rules, when we raise a power to another power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

8.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
9.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
10.
a)
a8b13
b)
a2b7
c)
a15b30
11.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
12.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
13.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
14.
Simplify with no negative exponents:
x-3
a)
-3x
b)
x3
c)
1/ x-3
d)
1/ x3
15.

What does this graph represent, and how do you know?

a)

Exponential Decay because the graph rises to the right.

b)

Exponential Growth because the graph rises to the right.

16.

What does the graph represent?

a)

Exponential Decay because the graph decreases to the right.

b)

Exponential Growth because the graph decreases to the right.

17.

Based in the b value, what type of exponential function is y= 2(.5)x ?

a)

Exponential Growth because the b value is a fraction.

b)

Exponential Decay because the b value is a fraction.

18.

Based on the b value, what type of exponential function is y=.5(2)x ?

a)

Exponential Growth because the b value is a number larger than 1.

b)

Exponential Decay because the b value is a number larger than 1.

19.

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)x

b)

y=6(1+14)x

c)

y=6(1.14)x

d)

y=6(0.86)x

20.

Based on this graph, what is the "a" value for the exponential function?

a)

2

b)

3

c)

1

d)

-2

21.
What is the vertex of this quadratic equation?  
y = 2(x - 2)2  +  5
a)
(-2,5)
b)
(2,5)
c)
(5,-2)
d)
(-5,-2)
22.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
23.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
24.

What are the solutions to this function?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

25.
In vertex form, what effect does the a have on the graph?
a)
Translates Up/Down
b)
Translates Left/Right
c)
Narrows/Widens Parabola
d)
Flips it
26.
In vertex form, what effect does the h have on the graph?
a)
Translates Up/Down
b)
Translates Left/Right
c)
Narrows/Widens Parabola
d)
Flips it
27.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
28.
Simplify:
a)
9n3 + 4n
b)
7n3 + 6
c)
-3n3 + 2
d)
7n6 + 6
29.
Simplify:
a)
0
b)
-3n3 +8n
c)
-3n6 
d)
-6n3
30.
Simplify:
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
31.
Simplify:
a)
r2 - 3r -2
b)
r2 - 3
c)
-2r -2 
d)
r2 - 2r -3
32.
(x - 4)2
a)
x2 - 16
b)
x2 + 16
c)
x2 - 8x + 16
d)
x2 + 8x - 16
33.
Divide the polynomial by the monomial.
a)
2x8-8x2-28x
b)
2x8-2x2-7x
c)
8x7-8x-28x
d)
2x7 -2x -7
34.
Factor x2-6x-40
a)
(x-10)(x+4)
b)
(x+10)(x-4)
c)
(x-8)(x+5)
d)
(x+8)(x-5)
35.

Solve using square roots.

a)

A

b)

B

c)

C

d)

D

36.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
a)
x = 7/2, x = -6
b)
x = -5/2, x =5
c)
x = -3/7, x =6
d)
x = -5/2, x = 7
37.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

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