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Alg 1 EOC Review

Total questions: 50

Worksheet time: 2hrs 58mins

Name
Class
Date
1.

What is domain?

a)

Set of all X values

b)

Set of all Y values

c)

Coordinates of a function

d)

Y intercept

2.

What is range?

a)

Set of all X values

b)

Set of all Y values

c)

All coordinates

d)

X intercept

3.

What type of slope is this?

a)

Negative

b)

Positive

c)

No slope

d)

Undefined

4.

What does "rate of change" mean?

a)

Vertical change

b)

Horizontal change

c)

Slope

d)

Y intercept

5.

What is the slope of:

y = 2x -5

a)

2x

b)

2

c)

-5

d)

-3

6.

In a quadratic graph, what is another way to say X intercepts?

a)

Roots

b)

Solutions

c)

Zeros

d)

All are correct

7.

What type of function is this:

f(x) = abx

a)

exponential

b)

linear

c)

quadratic

d)

parabolic

8.

Which expression shows exponential decay?

a)

f(x) = -4 ( -2)x

b)

f(x) = 3.4 ( 1.025)x

c)

f(x) = 2.2 (.85)x

d)

f(x) = -2 (.85x)

9.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
10.
What is the equation for the axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
11.

Does y = -4x2 have a maximum or minimum value?

a)

maximum

b)

minimum

12.

What is the factored form of x2 - 9x + 20

a)

(x + 10)(x + 2)

b)

(x - 9)(x - 11)

c)

(x - 4)(x - 5)

d)

(x + 4)(x + 5)

13.

What is the slope?

a)

-4

b)

14\frac{1}{4}

c)

4

d)

−14-\frac{1}{4}

14.

What is the X-intercept?

(a)  

15.

What is the Y-intercept?

(a)  

16.

What is the y-intercept of

 y=3x+1y=3x+1 ?

a)

(3, 0)

b)

(0, 3)

c)

(0, 1)

d)

(1, 0)

17.
Solve for x:
4(1-x)+3x=-2(x+1)
a)
x = -6
b)
x = 6
c)
x = 3
18.

What is the slope of this graph?

a)

1/3

b)

3

c)

No slope

d)

Undefined

19.
Factor the polynomial. 
x2-4x-32
a)
(x-8)(x+4)
b)
(x-4)(x-32)
c)
(x+3)(x-4)
d)
x+2)(x+5)
20.

Factor x2 + 11x + 18

a)

(x + 11)(x + 7)

b)

(x + 2)(x + 9)

c)

(x + 6)(x + 3)

d)

(x + 10)(x + 8)

21.
Find the factors of 5x2+20x+20
a)
5(x+2)(x+2)
b)
5(x-2)(x-2)
c)
5(x+2)(x-2)
d)
(5x+2)(x+2)
22.
Factor:  2x2 - 5x + 2
a)
(2x - 1)(x - 2)
b)
(2x + 1)(x - 2)
c)
(2x - 2)(x - 1)
d)
(2x + 2)(x - 1)
23.
Factor:  8x2 + 31x - 4
a)
(8x - 1)(x + 4)
b)
(4x - 1)(2x + 4)
c)
(2x - 1)(4x + 4)
d)
(8x - 2)(x + 2)
24.

What is the X-intercept?

a)

(4, 0)

b)

(0, 4)

c)

(2, 0)

d)

(0, 2)

25.

What is the Y-intercept?

a)

(4, 0)

b)

(0, 4)

c)

(2, 0)

d)

(0, 2)

26.

What is the slope?

a)

-4

b)

14\frac{1}{4}

c)

4

d)

−14-\frac{1}{4}

27.
What is the range for the function below? 
a)
y ≤ 4
b)
y ≥ 4
c)
All real numbers
d)
-3 ≤ y ≤ 1
28.

Identify the y-intercept

a)

(0, -3)

b)

(0, 1)

c)

(0, 3)

d)

(2, 1)

29.
What is the domain of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ 0
d)
x ≥ 0
30.
What is the range of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ 0
d)
x ≥ 0
31.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
32.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
33.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
34.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
35.

Identify the initial value:

y = 6.87 (4)x

a)

a = 4

b)

a = 6.87

c)

a = 3

d)

a = 1

36.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
37.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
38.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(.97)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1.03)x
d)
f(x)=400(0.03)x
39.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?
a)
y=8(15,000)x
b)
y=15,000(1.08)x
c)
y=15,000(0.92)x
d)
y=15,000(0.08)x
40.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
41.

Solve the equation      x+2x−1 = 38x+2x-1\ =\ 38  

a)

13

b)

identity

c)

no solution

d)

39

42.

Solve the equation.
  2a−6(a−4)= −42a-6\left(a-4\right)=\ -4  

a)

7

b)

identity

c)

0

d)

-5

43.

Solve the equation.
  6m+5−3m=7(m−1)6m+5-3m=7\left(m-1\right)  

a)

3

b)

no solution

c)

identity

d)

5

44.
What is the Range?
a)
y ≥ 6
b)
y ≤ 6
c)
-10 ≤ y ≤ 6
d)
-10 ≤ x ≤ 6
45.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
46.
Factor:
 2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
47.
Find the factors of 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
48.
What are the factors of 3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
49.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
50.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)