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Semester Review Fall 2019

Total questions: 46

Worksheet time: 2hrs 24mins

Name
Class
Date
1.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

2.
What function family do I belong to?
a)
Linear
b)
Exponential
c)
Quadratic
d)
Linear Absolute Value
3.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Absolute Value
4.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Linear Absolute Value
5.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
6.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
7.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
8.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
9.
Determine the interval in which this function is INCREASING.
a)
(-4, ∞)
b)
(-3, ∞)
c)
(∞, -3)
d)
(-∞, -4)
10.
Determine the interval in which this function is DECREASING.
a)
(-3, ∞)
b)
(-3, ∞)
c)
(-∞, -4)
d)
(-∞, -3)
11.
Determine the interval of this function's DOMAIN.
a)
(-5, -1)
b)
(-∞, ∞)
c)
No solution
d)
(-∞, -3)
12.

Determine the interval of this function's RANGE.

a)

[-4, ∞)

b)

(-3, ∞)

c)

No solution

d)

(-∞, -4]

13.

The end behavior of the following is graph is ______________ .

a)

x → −∞, y → ∞

x → ∞, y → ∞

b)

x → −∞, y → - ∞

x → ∞, y → ∞

c)

x → −∞, y → - ∞

x → ∞, y → - ∞

d)

none of the above

14.

Is this function growth or decay?

a)

Growth

b)

Decay

15.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
16.
What is the slope-intercept formula?
a)
y=mx+b
b)
y=bx+m
c)
m=yx+b
17.

Rewrite in slope intercept form.

a)

y = − 6 /5 x − 3

b)

y = − 6/ 5 x + 3

c)

y = 3/5x + 6

d)

y = 3/5x - 6

18.

Rewrite in slope intercept form.

a)

y = 11/ 4 x − 8

b)

y = 11 /4 x + 8

c)

y = 2x -4

d)

y=2x+4

19.

Rewrite in standard form


y - 2 = 4/3(x - 1)

a)

4x + 3y = -2

b)

4x - 3y = -2

c)

4x - 3y = 1

d)

4x - 3y = -2/3

20.

Rewrite in Standard Form.


4y - 3 = 6x + 6

a)

6x - 4y = -9

b)

6x - 4y = 3

c)

4y - 6x = -9

d)

4x + 4y = 3

21.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
22.

Which of these represents standard form of a linear equation?

a)

y - y1 = m(x-x1)

b)

Ax + By=C

c)

y = mx + b

23.
What is the slope of the line for the equation
y + 1 = -3(x - 5),
a)
-1
b)
1
c)
-3
d)
5
24.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
25.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=(1/4)x+3
d)
y= -4x+3
26.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
27.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
28.
Name the x- and y-intercepts for the equation:
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
29.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

1

c)

7

d)

-7

30.
If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?
a)
7
b)
-2
c)
-9
d)
-10
31.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
32.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
33.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
34.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
35.

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

a)

t: # of tacos

m: # of glasses of milk

b)

t: Cost of each taco

m: Cost of each glass of milk

c)

t: total cost

m: # of food items

d)

t: Cost of each glass of milk

m: Cost of each taco

36.
solve by substitution: y=3x+14
y=-4x
a)
y=3
b)
y=1
c)
y= - 2
d)
y=4
37.
Solve by elimination:
9x-4y=7

x-4y=-17
a)
(-1,5)
b)
(-7,5)
c)
(7,5)
d)
(3,5)
38.
Solve by elimination:
7x-9y=29

7x+2y=-15
a)
(-4,-1)
b)
(-1.-4)
c)
(-1,4)
d)
(-1,6)
39.
Solve by elimination:
7x+y=-9

-3x-y=5
a)
No solution
b)
(1,8)
c)
(-2,-3)
d)
(-1,-2)
40.
The amount of ants in a colony, f, that is decaying can be modeled by                         f(x) = 800(.87)x, where x is the number of days since the decay started. Suppose           f(20) = 49. Which of the following is true?
a)
After 20 days, there are 49 ants in the colony.
b)
After 49 days there are 20 ants in the colony.
c)
The amount of ants times 20 is 49.
d)
After 20 days the amount of ants remaining decreases by 49.
41.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?
a)
The predicted increase in number of elephants in the refuge each year.
b)
The predicted decrease in number of elephants in the refuge each year.
c)
The number of years it will take for the elephant population to stop increasing.
d)
The initial amount of elephants in the park.
42.
The expression 12(1.015)t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?
a)
The number of elephants was 1,015 in 1975.
b)
The number of elephants increases by 1.5% each year.
c)
The number of elephants increases by 101.5% each year.
d)
The number of elephants is multiplied by 1.015 each year.
43.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
Reminder: The common ratio is MULTIPLIED each time
a)
2
b)
1/2
c)
-14
d)
-7
44.
What is the common ratio for the sequence:
3, 15, 75...
Reminder: common ratio is common multiple used to get  the next output
a)
12
b)
1/5
c)
5
45.
Is the table linear or exponential?
a)
Linear
b)
Exponential
46.
Is the table linear or exponential?
a)
Linear
b)
Exponential

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