(2x + 7)(3x – 5)

Multiply.
(2x + 7)(3x – 5)
Starter 2
Solve this system of equations by
graphing on your calculator.
y = -2x + 2
𝟏
y= x–5
πŸ‘
Starter 3
The slope of the line passing
through the points (10, y)
and (13,18) is 5. What is the
value of y?
Starter 4
Write an equation of the line
passing through the points (6, 7)
and (9, 5)?
Announcements
β€’ Add your own
STAAR 5
An arithmetic sequence
is defined by the rule
f(x) = f(x – 1) – 7.
If f(1) = 19, find f(3).
STAAR 6
An arithmetic sequence
is defined by the rule
f(x) = f(x – 1) – 3.
If f(1) = 16, find f(4).
STAAR 7
Factor
2
144x
– 49
STAAR 8
Simplify
(πŸ’π’™ + πŸ‘)(𝒙 βˆ’ πŸ–)
𝟐
𝒙
βˆ’
πŸ”πŸ’
(x – 8)(x + 8)
STAAR 9
Simplify
(x –𝒙 βˆ’ 𝟏𝟎𝟎
+10)
𝟐
10)(x
(πŸ‘π’™ βˆ’ πŸ“)(𝒙 + 𝟏𝟎)
STAAR 10
What is the vertex of the function below?
f ( x) ο€½ 3( x ο€­ 5)  4
2
F (3, -5)
G (-5, 4)
H (3, 5)
J (5, 4)
11
STAAR 11
Which of the following has a vertex at (7, 3)?
A
B
C
D
𝑓 π‘₯
𝑓 π‘₯
𝑓 π‘₯
𝑓 π‘₯
2
7)
= 2(π‘₯ βˆ’
+3
2
= 5(π‘₯ + 7) + 3
2
= 3(π‘₯ + 3) + 7
2
= 7(π‘₯ βˆ’ 2) + 3
12
Practice 12
Solve for a
79 ο€½ a (11 ο€­ 8)  7
2
13
DEMO: Putting in the Values
Vertex: (3, 2)
Point: (5, 18)
f ( x ) ο€½ a ( x ο€­ h)  k
2
7 ο€½ a (6 ο€­ 5)  4
2
Solve for a.
You Try 14
Vertex: (4, 3)
Point: (6, 39)
f ( x ) ο€½ a ( x ο€­ h)  k
2
39 ο€½ a (6 ο€­ 4)  3
2
Solve for a.
One More Time 15
Vertex: (2, 1)
Point: (4, 21)
f ( x ) ο€½ a ( x ο€­ h)  k
2
21 ο€½ a (4 ο€­ 2)  1
2
Solve for a.
STAAR 16
Solve this system of equations by elimination.
4 x  3 y ο€½ 26
5 x ο€­ 3 y ο€½ 19
17
STAAR 17
Solve this system of equations by elimination.
5 x  8 y ο€½ 52
9 x ο€­ 2 y ο€½ 28
18
STAAR 18
Solve this system of equations by elimination.
4 x  3 y ο€½ 13
9x ο€­ 2 y ο€½ 3
19
Systems by Substitution
Solve this system of equations by substitution .
5 x  4 y ο€½ 28
y ο€½ xο€­2
20
Again 20
Solve this system of equations by substitution.
7 x  3 y ο€½ 17
y ο€½ x ο€­1
21
You Try 21
Solve this system of equations by substitution.
6 x  5 y ο€½ 57
y ο€½ xο€­4
22
One More Time 22
Solve this system of equations by substitution .
3 x  7 y ο€½ 69
y ο€½ x ο€­3
23
HANDOUT
Get out
your ruler.
Which system of equation is represented by the graph?
3
A y ο€Ύ ο€­ x 1
2
1
y ο‚£ x ο€­3
2
3
B y ο€Ό ο€­ x 1
2
1
y ο‚£ x ο€­3
2
3
C y ο€Ύ x 1
2
1
y ο‚£ ο€­ x ο€­3
2
23
What is the solution to this systems of equations?
A (2, 2)
B (1, 2)
C (2, 1)
D (3, 2)
24
25. Which inequality represents the range of this
quadratic function?
A
B
C
D
y β‰₯ -1
y ≀ -1
yβ‰₯0
y≀0
26. Which inequality best represents the domain
of the function shown in the graph below?
F -3 ≀ x ≀ 6
G -3 < x < 6
H -1 < x < 5
J -1 ≀ x ≀ 5
27. What is the rate of change?
3280
3240
3200
3160
3120
3080
(2000, 3160)
(1000, 3120)
3040
3000
500 1000 1500 2000 2500 3000 3500 4000
Handout 28
Which graph represents the equation 6y + 12 = 3x ?
F
H
G
Handout 29
Which line is parallel to the line 2y = 3x + 8?
A
B
C
D
15x + 5y = 20
3x – 2y = -8
6x – 2y = 16
4x + 6y = 24
32
STAAR 30
Solve for x. Write identity or no
solution if appropriate.
2
2x
– 5 = 75
STAAR 31
Simplify this expression. Answer in
simplest radical form.
75 + 48
STAAR 32
Which could be in the solution set for
this inequality?
F 9
G 12
H 10
J8
91 ο€Ό 8 x  11
STAAR 33
Factor this trinomial.
2
5x
+ 17x – 12
STAAR 34
Factor this trinomial.
2
x
+ 18x + 81
STAAR 35
Solve this system of equations by
graphing on your calculator.
y = 2.5x + 75
y = 4x
Reset your calc!!
STAAR 36
Write an equation of the line
passing through the points (4, 6)
and (8, 5)?
STAAR 37
Solve for y.
3x = 6y + 24
STAAR 38
The slope of the line passing
through the points (10, y)
and (6,5) is 1. What is the
value of y?
STAAR 39
An arithmetic sequence
is defined by the rule
f(x) = f(x – 1) – 5.
If f(1) = 12, find f(4).
STAAR 40
Simplify
(𝒙 βˆ’ πŸ—)(𝒙 βˆ’ πŸ‘)
𝟐
𝒙
βˆ’
πŸ—
(x – 3)(x + 3)
STAAR 41
Simplify this expression. Answer in
simplest radical form.
7 8
STAAR 42
Simplify this expression. Answer in
simplest radical form.
2 96
STAAR 43
Simplify this expression. Answer in
simplest radical form.
24 + 3 54
STAAR 44
Solve this system of equations by elimination.
2 x  3 y ο€½ 39
10 x ο€­ 3 y ο€½ 33
47
Values of the function f(x) are given in
the table below.
x
y
What is f(9) ?
STAAR 45
2
5
4
9
7
15
9
19
12
25
STAAR 46
Which is an equivalent expression.
a
7
8
F
7
G
H
J
8
a
8
a
8
a
a
7
7
1
6
3
5
(7 x )(6 x )
30
3
11
4
A 42 x
B 42 x
30
23
23
30
C 42 x
D 42 x
STAAR 47
3
8
1
3
(5 x )(2 x )
17
F 10 x
24
24
G 10 x
3
11
H 10 x
24
17
J 10 x
STAAR 48
4
STAAR 49
Simplify. Use only positive exponents.
x 
3
2 4
STAAR 50
Simplify. Use only positive exponents.
x 
3
4 2