factoring linear expressions

Factoring
Linear Expressions
Activity Pack
7.EE.A.2
me: __________
14
pages
Date: _______
Answer Key (Quick Check)
Name: __________
Factoring Linear Expressions
Factoring Linear Expressions
Name: __________
Date: _______
Date
Factoring Linear Expressio
Factoring Linear Expressions
Directions: Determine each simple interest and circle the solution. Find the square for
ctions: Beginning at “START”, follow the path that leads you
the correct
Directions: Cut out each of the puzzle pieces. Find the four pieces that correctly fit
thetoproblem
number on the answer document page and sketch the drawing
together. One piece will be a linear expression and the three other pieces will be the
oring until you read “END”.
associated with the solution.
6
9
linear expression rewritten once it has been factored. Glue the matches pieces to a
separate piece of paper.
START
6(2# + 3)
9(# − 8)
5(3# + 13)
A
12# + 18
8# − 72
15# + 65
END
6# + 33
5
4
3(2# + 11)
B
C
45x+105
2(15x+21)
5(9x+21)
12x+60
5
9
3
6
5
1
3(4# + 7)
8(# − 9)
17(# − 3)
4(2# − 7)
15# + 3
12# − 78
9# − 72
17# − 51
cannot be
factored
END
4(3x+15)
16(3x+5)
8(6x+10)
6(5x+7)
10
9
14(# + 3)
6(2# − 13)
7(2# + 9)
cannot be
factored
2# − 12
14# + 63
3# − 22
8# − 28
2
8(# − 3)
30x+42
4(12x+20)
3(4x+20)
2
48x+80
END
7
2(# − 6)
5# + 45
ica(Barnett
5(# + 9)
19# + 5
cannot be
factored
13# − 39
13(# − 3)
4# − 10
32(2# − 5)
10
10
3(15x+35)
12(x+5)
3(10x+14)
2
10
1
2
1
1
7
7
2
1
2
1
2
1
2
2
1
1
7
7
7
7
2
7
7
9 15(3x+7)
END
7
©Jessica(Barnett
©Jessica(Barnett
7
©Jessica(Barnett
Created by: Jessica Barnett
9
Complete a
Complete a 9 problem
maze
solve and
activity
sketch
activity
Complete a
10 problem Complete a
coloring
matching
page
activity
activity.
©Jessica Barnett
Name: __________
Date: _______
Factoring Linear Expressions
Directions: Beginning at “START”, follow the path that leads you to the correct
factoring until you read “ END”.
START
6(2𝑥 + 3)
9(𝑥 − 8)
8𝑥 − 72
15𝑥 + 65
6𝑥 + 33
END
8(𝑥 − 9)
17(𝑥 − 3)
4(2𝑥 − 7)
cannot be
factored
15𝑥 + 3
12𝑥 − 78
9𝑥 − 72
17𝑥 − 51
14(𝑥 + 3)
6(2𝑥 − 13)
7(2𝑥 + 9)
cannot be
factored
2𝑥 − 12
14𝑥 + 63
3𝑥 − 22
8𝑥 − 28
cannot be
factored
13(𝑥 − 3)
5(3𝑥 + 13)
12𝑥 + 18
3(4𝑥 + 7)
2(𝑥 − 6)
5𝑥 + 45
©Jessica Barnett
5(𝑥 + 9)
19𝑥 + 5
13𝑥 − 39
4𝑥 − 10
3(2𝑥 + 11)
END
8(𝑥 − 3)
END
2(2𝑥 − 5)
END
ANSWER KEY
Factoring Linear Expressions
Directions: Beginning at “START”, follow the path that leads you to the correct
factoring until you read “ END”.
START
6(2𝑥 + 3)
9(𝑥 − 8)
8𝑥 − 72
15𝑥 + 65
6𝑥 + 33
END
8(𝑥 − 9)
17(𝑥 − 3)
4(2𝑥 − 7)
cannot be
factored
15𝑥 + 3
12𝑥 − 78
9𝑥 − 72
17𝑥 − 51
14(𝑥 + 3)
6(2𝑥 − 13)
7(2𝑥 + 9)
cannot be
factored
2𝑥 − 12
14𝑥 + 63
3𝑥 − 22
8𝑥 − 28
cannot be
factored
13(𝑥 − 3)
5(3𝑥 + 13)
12𝑥 + 18
3(4𝑥 + 7)
2(𝑥 − 6)
5𝑥 + 45
©Jessica Barnett
5(𝑥 + 9)
19𝑥 + 5
13𝑥 − 39
4𝑥 − 10
3(2𝑥 + 11)
END
8(𝑥 − 3)
END
2(2𝑥 − 5)
END
Name: __________
Date: _______
Factoring Linear Expressions
Directions: Factor each linear expression and circle the solution. Find the square for the
problem number on the answer document page and sketch the drawing associated
with the solution.
A1
B2
C3
B1
A2
3(𝑥 + 18)
3(𝑥 + 5)
3(𝑥 + 6)
7(𝑥 − 8)
7(𝑥 − 6)
7(𝑥 − 42)
15(𝑥 + 25)
15(𝑥 + 2)
5(3𝑥 + 5)
4(𝑥 − 16)
4(𝑥 − 12)
4(𝑥 − 64)
6(𝑥 + 27)
3(2𝑥 + 9)
6(𝑥 + 4)
3𝑥 + 18
7𝑥 − 42
15𝑥 + 25
4𝑥 − 64
6𝑥 + 27
©Jessica Barnett
Name: __________
Date: _______
Factoring Linear Expressions
Directions: Factor each linear expression and circle the solution. Find the square for the
problem number on the answer document page and sketch the drawing associated
with the solution.
B3
C1
A3
C2
18(𝑥 − 90)
18(𝑥 − 5)
9(3𝑥 − 10)
26(𝑥 + 52)
13(3𝑥 + 4)
26(𝑥 + 2)
3(19𝑥 − 5)
6(9𝑥 − 3)
3(19𝑥 − 15)
4(8𝑥 + 16)
2(17𝑥 + 31)
2(17𝑥 + 32)
18𝑥 − 90
26𝑥 + 52
57𝑥 − 15
34𝑥 + 62
©Jessica Barnett
Answer Key
Factoring Linear Expressions
Directions: Factor each linear expression and circle the solution. Find the square for the
problem number on the answer document page and sketch the drawing associated
with the solution.
A1
B2
C3
B1
A2
3(𝑥 + 18)
3(𝑥 + 5)
3(𝑥 + 6)
7(𝑥 − 8)
7(𝑥 − 6)
7(𝑥 − 42)
15(𝑥 + 25)
15(𝑥 + 2)
5(3𝑥 + 5)
4(𝑥 − 16)
4(𝑥 − 12)
4(𝑥 − 64)
6(𝑥 + 27)
3(2𝑥 + 9)
6(𝑥 + 4)
3𝑥 + 18
7𝑥 − 42
15𝑥 + 25
4𝑥 − 64
6𝑥 + 27
©Jessica Barnett
Answer Key
Factoring Linear Expressions
Directions: Factor each linear expression and circle the solution. Find the square for the
problem number on the answer document page and sketch the drawing associated
with the solution.
B3
C1
A3
C2
18(𝑥 − 90)
18(𝑥 − 5)
9(3𝑥 − 10)
26(𝑥 + 52)
13(3𝑥 + 4)
26(𝑥 + 2)
3(19𝑥 − 5)
6(9𝑥 − 3)
3(19𝑥 − 15)
4(8𝑥 + 16)
2(17𝑥 + 31)
2(17𝑥 + 32)
18𝑥 − 90
26𝑥 + 52
57𝑥 − 15
34𝑥 + 62
©Jessica Barnett
Name: __________
Date: _______
Factoring Linear Expressions
Answer Document Page
Directions: Factor each linear expression and circle the solution. Find the square for the
problem number on the answer document page and sketch the drawing associated
with the solution.
A
1
2
3
©Jessica Barnett
B
C
Answer Key (Quick Check)
Factoring Linear Expressions
Directions: Factor each linear expression and circle the solution. Find the square for the
problem number on the answer document page and sketch the drawing associated
with the solution.
A
1
2
3
©Jessica Barnett
B
C
Name: __________
Date: _______
Factoring Linear Expressions
Directions: Cut out each of the puzzle pieces. Find the four pieces that correctly fit
together. One piece will be a linear expression and the three other pieces will be the
linear expression rewritten once it has been factored. Glue the matches pieces to a
separate piece of paper.
45x+105
4(3x+15)
30x+42
3(15x+35)
©Jessica Barnett
2(15x+21)
16(3x+5)
4(12x+20)
12(x+5)
12x+60
8(6x+10)
48x+80
3(10x+14)
5(9x+21)
6(5x+7)
3(4x+20)
15(3x+7)
Answer Key
Factoring Linear Expressions
Directions: Cut out each of the puzzle pieces. Find the four pieces that correctly fit
together. One piece will be a linear expression and the three other pieces will be the
linear expression rewritten once it has been factored. Glue the matches pieces to a
separate piece of paper.
45x+105
3(15x+35)
30x+42
3(10x+14)
©Jessica Barnett
5(9x+21)
15(3x+7)
2(15x+21)
6(5x+7)
12x+60
3(4x+20)
4(3x+15)
12(x+5)
48x+80
4(12x+20)
8(6x+10)
16(3x+5)
Name: __________
Date: _______
Factoring Linear Expressions
Directions: Determine the correct factoring of each linear expression and circle the solution. Find
the problem number on the coloring page and shade in the enclosed region based on the solution.
1.
2𝑥 + 12
cannot be
factored:
blue
2.
3𝑥 + 15
3(𝑥 + 15):
green
cannot be
factored:
red
3(𝑥 + 5):
purple
12𝑥 − 36
12(𝑥 − 3):
yellow
4(3𝑥 − 8):
red
cannot be
factored:
orange
4.
5𝑥 + 35
5(𝑥 + 7):
orange
cannot be
factored:
purple
5(𝑥 + 35):
red
5.
9𝑥 − 63
3(3𝑥 − 19):
blue
cannot be
factored:
red
9(𝑥 − 7):
green
6.
2𝑥 + 26
2(𝑥 + 14):
purple
2(𝑥 + 13):
yellow
cannot be
factored:
blue
7.
3𝑥 + 45
cannot be
factored:
green
3(𝑥 + 45):
blue
3(𝑥 + 15):
purple
6𝑥 − 24
3(2𝑥 + 12):
red
cannot be
factored:
purple
6(𝑥 − 4):
orange
5𝑥 + 65
5(𝑥 + 13):
blue
cannot be
factored:
red
I = $157.46:
purple
9𝑥 + 107
3(3𝑥 + 37):
purple
9(𝑥 + 12):
blue
cannot be
factored:
green
3.
8.
9.
10.
©Jessica Barnett
2(𝑥 + 6):
red
2(𝑥 + 12):
yellow
Name: __________
Date: _______
Factoring Linear Expressions
5
6
9
5
4
8
5
9
3
6
5
8
9
10
9
10
10
2
2
7
2
10
1
2
1
1
7
7
2
1
2
1
2
1
2
2
1
1
7
7
7
7
2
7
7
7
7
9
7
7
©Jessica Barnett
7
9
Answer Key
Factoring Linear Expressions
Directions: Determine the correct factoring of each linear expression and circle the solution. Find
the problem number on the coloring page and shade in the enclosed region based on the solution.
1.
2𝑥 + 12
cannot be
factored:
blue
2.
3𝑥 + 15
3(𝑥 + 15):
green
cannot be
factored:
red
3(𝑥 + 5):
purple
3.
12𝑥 − 36
12(𝑥 − 3):
yellow
4(3𝑥 − 8):
red
cannot be
factored:
orange
4.
5𝑥 + 35
5(𝑥 + 7):
orange
cannot be
factored:
purple
5(𝑥 + 35):
red
9𝑥 − 63
3(3𝑥 − 19):
blue
cannot be
factored:
red
9(𝑥 − 7):
green
6.
2𝑥 + 26
2(𝑥 + 14):
purple
2(𝑥 + 13):
yellow
cannot be
factored:
blue
7.
3𝑥 + 45
cannot be
factored:
green
3(𝑥 + 45):
blue
3(𝑥 + 15):
purple
8.
6𝑥 − 24
3(2𝑥 + 12):
red
cannot be
factored:
purple
6(𝑥 − 4):
orange
9.
5𝑥 + 65
5(𝑥 + 13):
blue
cannot be
factored:
red
I = $157.46:
purple
9𝑥 + 107
3(3𝑥 + 37):
purple
9(𝑥 + 12):
blue
cannot be
factored:
green
5.
10.
©Jessica Barnett
2(𝑥 + 6):
red
2(𝑥 + 12):
yellow
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