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WorksheetsAlgebra Midterm Review
Total questions: 150
Worksheet time: 6hrs 25mins
Name
Class
Date
1.
Simplify the expression: 7+3(1 - 2x)
a)
21 - 6x
b)
10 - 2x
c)
10 - 20x
d)
10 - 6x
2.
Simplify the Expression.
9z - 21 - 3z + 10
9z - 21 - 3z + 10
a)
Simplified
b)
9z - 21 - 7
c)
9z - 11 -3z
d)
6z - 11
3.
3(2x+1)+2(x-4)
a)
8x-3
b)
8x+11
c)
4x-5
d)
8x-5
4.
-4(-4d - 5)
a)
16d+20
b)
-16d+20
c)
16d-20
d)
-16d-20
5.
Simplify the following expression:
19 - ( 3 - 5b)
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
6.
a2-b2Evaluate if a=4 and b =-2
a)
4
b)
20
c)
-4
d)
12
7.
Evaluate this expression:
4(-3)2
4(-3)2
a)
36
b)
-36
c)
-144
d)
144
8.
Evaluate 5x2 + 2x
when x = 4
when x = 4
a)
408
b)
88
c)
48
d)
104
9.
5 x 3 + 34 ÷ 9 + 15
a)
3
b)
21
c)
2
d)
25
10.
(62 + 4) ÷ 10 x 5
a)
20
b)
30
c)
50
d)
90
11.
r3 + 2s2
if r = -3 and s = 4
if r = -3 and s = 4
a)
59
b)
5
c)
37
d)
91
12.
If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?
a)
f(x - 3)
b)
f(x + 3)
c)
f(x) + 3
d)
f(x) - 3
13.
If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?
a)
f(x + 2)
b)
f(x) + 2
c)
f(x - 2)
d)
f(x) - 2
14.
The original graph is f(x). The new graph has been reflected across the x axis. The equation for the new graph in f(x) notation is:
a)
-f(x)
b)
f(-x)
15.
The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:
a)
f(x + 3) - 4
b)
f(x - 4) + 3
c)
f(x + 4) + 3
d)
f(x + 3) + 4
16.
Describe the transformation of y = f(x) for the new function
y = f(x) - 5
y = f(x) - 5
a)
The graph of y = f(x) was shifted to the right 5 units.
b)
The graph of y = f(x) was shifted to the left 5 units.
c)
The graph of y = f(x) was shifted up 5 units.
d)
The graph of y = f(x) was shifted down 5 units.
17.
Identify the transformation from the graph of f(x)=x2 to the graph g(x)= x2 - 5
a)
shifted up five units
b)
shifted down five units
c)
shifted left five units
d)
shifted right five units
18.
Identify the transformation from the graph of f(x)=x2 to the graph g(x)= (x+5)2
a)
shifted up five units
b)
shifted down five units
c)
shifted left 5 units
d)
shifted right 5 units
19.
Identify the transformation from the graph of f(x)=x2 to the graph g(x)= x2 + 5
a)
shifted up five units
b)
shifted down five units
c)
shifted left five units
d)
shifted right five units
20.
The blue is f(x)=|x|, red must be ____?
a)
g(x) =|x+2|
b)
g(x) =|x|+2
c)
g(x) =|x-2|
d)
g(x) =|x|-2
21.
. If the blue is f(x)=x2, then the red must be ___?
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
22.
The graph shows the function f(x)=x2 in blue and another function g(x) in red. Which could be the equation for g(x)?
a)
A. g(x) = 2x2
b)
B. g(x) = 1/2x2
c)
C. g(x) = x2 + 2
d)
D. g(x) = (x + 2)2
23.
The graph shows the function f(x)=x2 in blue and another function g(x) in red. Which could be the equation for g(x)?
a)
A. y = 1/2(x - 3)2
b)
B. y = 1/2(x + 3)2
c)
C. y = 2(x - 3)2
d)
D. y = 2(x + 3)2
24.
Given the table, write the equation in the slope-intercept form.
a)
y = 1/3x + 6
b)
y = 3x + 6
c)
y = 2x + 6
d)
y = 1/2x + 6
25.
Solve.
5(y + 4) = 4(y + 5)
5(y + 4) = 4(y + 5)
a)
0
b)
2
c)
no solution
d)
All real numbers
26.
Given the following table, write the equation.
a)
y = 9x + 3
b)
y = 3x + 12
c)
y = 3x + 9
d)
y = 1x + 12
27.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
28.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
29.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
30.
Which is the correct equation for the graph?
a)
y=4x+4
b)
X+Y=4
c)
Y=4x-4
d)
X -Y= 4
31.
Match the graph to the equation
a)
y=4/3x-4
b)
x+y=-4
c)
4x+3y=1
d)
y=-4/3x-4
32.
Match the graph to the equation
a)
y=3x-2
b)
3x-2y=1
c)
x-y=3
d)
y=-3x-2
33.
Convert to slope intercept
a)
y = 1/ 3 x − 2
b)
y = -1/ 3 x − 2
c)
y=2x -6
d)
y=2x+6
34.
Convert to slope intercept
a)
y = 1/ 3 x − 2
b)
y = -1/ 3 x − 2
c)
y=2x -6
d)
y=2x+6
35.
Which of the following situations can be represented by y=10+0.55n
a)
The total cost at a store for one book that costs $10 and n bookmarks that cost $0.55 each.
b)
The total cost of 10 bags of chips that cost $0.55 each.
c)
The height of a tree after n day that was 10feet tall and it grew 55 feet a day.
d)
Not here
36.
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.
a)
y = 3x + 2.5
b)
y = 2.50x + 3
c)
y = 2.50x
d)
y = 3x + 2.50
37.
a)
-3 ≤ y < 2
b)
-5 ≤ y ≤ 2
c)
-5 < y ≤ 2
d)
-4 ≤ y < -5
38.
Given f(x) = 2x2 + 5x - 17, find f(-1).
a)
-20
b)
-24
c)
2
d)
1
39.
What does the domain represent in this scenario?
a)
The time the ball is in the air.
b)
The ball hitting the ground.
c)
The ball getting higher in the air.
d)
The ball coming down.
40.
Determine if the table is Linear, Quadratic or other.
a)
Linear
b)
Quadratic
c)
Other
41.
Determine if the table is Linear, Quadratic or other.
a)
Linear
b)
Quadratic
c)
Other
42.
Determine if the table is Linear, Quadratic or other.
a)
Linear
b)
Quadratic
c)
Other
43.
What is the equation of the table?
a)
y=4x+2
b)
y=-.375x-39.64
c)
y=-4x+2
44.
Why does this graph show a non-proportional relationship?
a)
Because it is proportional
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
45.
Which graph is proportional?
a)
A
b)
B
c)
C and A
d)
All of the graphs are proportional
46.
2X+5x+11=53
a)
x=6
b)
x=5
c)
x=-6
d)
x=64/7
47.
What is the RANGE of this graph?
a)
-7<x<5
b)
-7≤x<5
c)
-3<x<1
d)
-3≤x<1
48.
What is the DOMAIN of this function?
a)
-∞≤y≤∞
b)
-∞≤x≤∞
c)
∞<x<∞
d)
-∞<x<∞
49.
What is the RANGE of this function?
a)
-∞≤y≤∞
b)
-∞≤y≤∞
c)
All Real Numbers
d)
-∞<y<-∞
50.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
51.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
52.
{(1,2), (3,4), (5,10)}
What is the domain?
What is the domain?
a)
{1,2,3,4,5,10}
b)
{1,2,3,5}
c)
{2,4,10}
d)
{1,3,5}
53.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
54.
Does the table represent a function?
a)
Yes, there is a repeated x-value.
b)
No, there aren't any repeated y-values.
c)
Yes, there are repeated y-values.
d)
No, there is a repeated x-value.
55.
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.
56.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
57.
What is the range of the given relation?
a)
{1, 4, 5, 8}
b)
{-9, -5, 1, 7}
c)
{-9, -5, 1, 7, 4, 5, 8}
d)
{4, 5, 8}
58.
Is the following relation a function?
a)
Yes
b)
No
59.
a)
Function
b)
Not a Function
60.
a)
Function
b)
Not a Function
61.
a)
Function
b)
Not a Function
62.
a)
Function
b)
Not a Function
63.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
64.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
65.
What is the range?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
66.
What is the domain?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
67.
Find the Domain
a)
x < -3
b)
x ≤ -3
c)
x > -3
d)
x ≥ -3
68.
What type of function is this?
a)
Linear
b)
Quadratic
c)
Absolute Value
d)
Exponential
69.
What type of function is this?
a)
Linear
b)
Quadratic
c)
Absolute Value
d)
Exponential
70.
What type of function is this?
a)
Linear
b)
Quadratic
c)
Absolute Value
d)
Exponential
71.
Who has the greater rate of change?
a)
Smith has the greater rate of change with 5/4
b)
Harmon has the greater rate of change with 7/2
c)
Smith has the greater rate of change with 4/5
d)
They have the same rate of change.
72.
Who has the greater rate of change?
a)
Tyler has the greater rate of change with 2/3
b)
Aubri has the greater rate of change with 3/2
c)
Tyler has the greater rate of change with 3/2
d)
They have the same rate of change.
73.
Who has the greater rate of change?
a)
Braden has the greater rate of change with 60/3
b)
Omar has the greater rate of change with 100
c)
Braden has the greatest rate of change with 60
d)
They both have the same rate of change
74.
Who has the greater rate of change?
a)
Troy has the greater rate of change.
b)
Lucy has the greater rate of change
c)
They have the same rate of change
75.
Which tree was the tallest when it was first planted?
a)
Tree A
b)
Tree B
c)
Tree C
76.
Find the initial value
a)
1
b)
9
c)
11
d)
0
77.
Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?
What is the slope of the graph?
a)
64
b)
128
c)
32
d)
16
78.
What integer represents 125 feet below sea level?
a)
125
b)
-125
79.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
80.
A rational number can be written as a fraction.
a)
True
b)
False
81.
0.8 is a rational number
a)
True
b)
False
82.
-9 is an integer
a)
True
b)
False
83.
6 is a rational number
a)
True
b)
False
84.
-3.5 is an integer
a)
True
b)
False
85.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
86.
Classify 3
a)
Natural, Whole, Integer, Rational
b)
Whole, Rational
c)
Integer
d)
Rational
87.
Classify the Number: 120
a)
Counting, whole, integers rational, real
b)
Irrational, real
c)
whole
d)
Whole, counting
88.
How would 5/9 be classified?
a)
rational and real
b)
whole and integer
c)
only real
d)
only irrational
89.
How would 0.333333 be classified?
a)
rational and real
b)
real and whole
c)
only integer
d)
only irrational
90.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
91.
Classify 17/10
a)
Whole
b)
Rational
c)
Natural
d)
None of the above
92.
What number below is a natural, whole, integer, rational, and real number ?
a)
-4
b)
5.1
c)
0.7
d)
3
93.
-2(x + 2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
94.
54x + 64 ≥ 49x + 59
a)
x ≥ −1
b)
x ≤ -1
c)
x > 9
d)
x < -3
95.
-11x - 4 > -15
a)
x > 1
b)
x< 1
c)
x < 1.72
d)
x > 1.72
96.
Which is a solution of
5(v + 3) - 10v > -10
5(v + 3) - 10v > -10
a)
v < 5
b)
v > 5
c)
v > -5
d)
v < -5
97.
-5(1 - 4a) > -5
a)
a > 0
b)
a < 5
c)
a < 0
d)
a > 5
98.
solve the following inequality
5-(4x -5) ≤ 30
5-(4x -5) ≤ 30
a)
x ≤ -5
b)
x < 10
c)
x ≥ -5
d)
x ≥ 10
99.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
100.
The next term of the sequence 2,4,8,16 are
a)
64
b)
32
c)
108
d)
20
101.
Is the sequence arithmetic: 78, 785, 7855, 78555, ...
a)
Yes
b)
No
102.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
103.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
104.
5, 15, 45, 135
a)
Geometric sequence with a common ratio of 3
b)
Geometric sequence with a common ration of 1/3
c)
Arithmetic sequence with a common difference of 10
d)
Common difference of 3
105.
What is the recursive form of the sequence below?
5, -3, -11, -19
5, -3, -11, -19
a)
A1=5, An=An-1+8
b)
A1=5, An=An-1-8
c)
A1=8, An=An-1+5
d)
A1=-8, An=An-1-5
106.
What is the recursive formula that represents this sequence:
2, 8, 14, ...
2, 8, 14, ...
a)
an = 2(6)n-1
b)
an = 2 + 6(n-1)
c)
an = an-1 + 6
a1 = 2
a1 = 2
d)
an = 6*a(n-1)
a1 = 2
a1 = 2
107.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
108.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
109.
What is the solution?
a)
No Solution
b)
Infinite Solutions
c)
IDK
d)
(0,1)
110.
What is the solution?
a)
No Solution
b)
Infinite Solutions
c)
(0, 2)
d)
(0, 3)
111.
What is the solution
a)
No Solution
b)
Infinite Solutions
c)
(-1, -3)
d)
(-3, -1)
112.
Which of these is a solution to the equation
y -12= x ?
y -12= x ?
a)
(0,12)
b)
(1,12)
113.
Which of these is a solution to the equation
3y -2x = -3 ?
3y -2x = -3 ?
a)
(6,3)
b)
(5,9)
114.
Find the slope of the given 2 points:
(1,5) & (4,20)
(1,5) & (4,20)
a)
slope = 5
b)
slope = 1/5
115.
Find the slope of the given 2 points:
(0,-7) & (5,3)
(0,-7) & (5,3)
a)
m = 2
b)
m = 1/2
116.
Find the slope of the line through each pair of points.
(19,-16), (-7,-15)
(19,-16), (-7,-15)
a)
-4
b)
-1/26
c)
7
d)
-11/7
117.
Find the slope of the line through each pair of points.
(20,8), (9,16)
(20,8), (9,16)
a)
-16
b)
!/2
c)
0
d)
-8/11
118.
Find the slope of the line through each pair of points.
(1,-19), (-2,-7)
(1,-19), (-2,-7)
a)
50%
b)
9/4
c)
-4
d)
11
119.
Find the slope of the line through each pair of points.
(3,-20), (5, 8)
(3,-20), (5, 8)
a)
14
b)
5/6
c)
4%
d)
undefind
120.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
121.
What is the equation of the line that goes through the points (3,-1) and (2,-4)?
a)
y = 3x - 4
b)
y = -3x + 8
c)
y = 3x - 1
d)
y = 3x - 10
122.
Estimate the correlation coefficient for this scatterplot.
a)
r = -0.9
b)
r = 1
c)
r = 0.9
d)
r = -1
123.
Estimate the correlation coefficient for this scatterplot.
a)
r = 1.2
b)
r = 0.89
c)
r = 0
d)
r = -0.89
124.
Estimate the correlation coefficient for this scatterplot.
a)
r = -0.9
b)
r = 1
c)
r = 0.9
d)
r = -1
125.
Estimate the correlation coefficient for this scatterplot.
a)
r = 1.2
b)
r = 0.89
c)
r = 0
d)
r = -0.89
126.
r=0.3
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
127.
r=-0.89
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
128.
What does a correlation coefficient of
r = 0 mean?
r = 0 mean?
a)
perfect positive correlation
b)
no correlation
c)
perfect negative correlation
129.
A perfect positive correlation has a correlation coefficient of ____.
a)
1
b)
-1
c)
0
130.
A perfect negative correlation has a correlation coefficient of ____.
a)
1
b)
-1
c)
0
131.
What is the x- intercept of the line?
a)
x = 1
b)
x = 2
c)
x = -1
d)
x = -2
132.
What is the x-intercept?
a)
12
b)
-3
c)
8
d)
0
133.
Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
134.
Solve by elimination
5x+6y= -10
3x-2y= -6
5x+6y= -10
3x-2y= -6
a)
(-2,0)
b)
(0,-2)
c)
(2,0)
d)
(0,2)
135.
What is the solution to this system?
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
136.
What is the solution to this system?
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
137.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
138.
Solve by elimination
-2x+6y= 16
-4x-3y= 2
-2x+6y= 16
-4x-3y= 2
a)
(2,2)
b)
(-2, -2)
c)
(-2,2)
d)
(2,1)
139.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
140.
Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Which system could be solved to determine the number of adult tickets (a) and student tickets (s) purchased?
a)
a+s=52.75
5.5a+7.25s=8
5.5a+7.25s=8
b)
a + s = 8
5.5a+7.25s=52.75
5.5a+7.25s=52.75
c)
a + s = 52.75
7.25a+5.5s=8
7.25a+5.5s=8
d)
a + s = 8
7.25a+5.5s=52.75
7.25a+5.5s=52.75
141.
Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.
a)
c + s = 6
14c + 17s = 99
14c + 17s = 99
b)
c + s = 99
14c + 17s = 6
14c + 17s = 6
c)
c + s = 6
17c + 14s = 99
17c + 14s = 99
d)
c + s = 99
17c + 14s = 6
17c + 14s = 6
142.
At a holiday ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, which system could be used to determine the number of skis (s) and snowboards (b) rented?
a)
s+b=478
19s+16b=28
19s+16b=28
b)
s + b = 28
16s+19b=478
16s+19b=478
c)
s+b=478
16s+19b=28
16s+19b=28
d)
s+b=28
19s+16b=478
19s+16b=478
143.
Match: the overlap is on the left!
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 4
d)
y > 3x and y < -2x + 4
144.
Match
a)
y > -4/5x - 1 and y ≤ 2/3x + 3
b)
y ≥ -4/5x - 1 and y ≤ 2/3x + 3
c)
y < -4/5x - 1 and y < 2/3x + 3
d)
y < -4/5x - 1 and y ≥ 2/3x + 3
145.
Match
a)
y ≥ -x - 1 and y < x + 4
b)
y < -x - 1 and y ≥ x + 4
c)
y > -x - 1 and y ≥ x + 4
d)
y > -x - 1 and y ≥ x + 4
146.
Which system of inequality is shown?
a)
y ≥ -x - 1
y < x + 4
y < x + 4
b)
y < -x - 1
y ≥ x + 4
y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 4
y ≥ x + 4
147.
The graph of
x > 3
is a ___?___ line
x > 3
is a ___?___ line
a)
Solid
b)
Horizontal
c)
Vertical
d)
Overlapping
148.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
149.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
c)
-
150.
Which solution of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
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