Download Use algebra tiles to solve each equation. 1. 3x – 7 = –10 SOLUTION

Explore 2-3: Algebra Lab Solving Multi-Step Equations
Use algebra tiles to solve each equation.
1. 3x – 7 = –10
SOLUTION: the mat. Place 10 negative 1-tiles on the other side.
Remove 7 negative 1-tiles from each side. Separate
the remaining tiles into 3 equal groups to match the 3
x-tiles. Each x-tile is paired with 1 negative 1-tiles.
The resulting equation is x = –1.
2. 2x + 5 = 9
SOLUTION: 1
1
2
2
3
4
3
4
Place 3 x-tiles and 7 negative 1-tiles on one side of
the mat. Place 10 negative 1-tiles on the other side.
Remove 7 negative 1-tiles from each side. Separate
the remaining tiles into 3 equal groups to match the 3
x-tiles. Each x-tile is paired with 1 negative 1-tiles.
The resulting equation is x = –1.
2. 2x + 5 = 9
SOLUTION: Place 2 x-tiles and 5 positive 1-tiles on one side of
the mat. Place 9 positive 1-tiles on the other side.
Remove 5 positive 1-tiles from each side. Separate
the remaining tiles into 2 equal groups to match the 2
x-tiles. Each x-tile is paired with
2 positive 1-tiles. The resulting equation is x = 2.
3. 5x – 7 = 8
SOLUTION: 1
1
2
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the mat. Place 9 positive 1-tiles on the other side.
Remove 5 positive 1-tiles from each side. Separate
the remaining tiles into 2 equal groups to match the 2
x-tiles.
Each
x-tile isLab
paired
with Multi-Step Equations
Explore
2-3:
Algebra
Solving
2 positive 1-tiles. The resulting equation is x = 2.
3. 5x – 7 = 8
7 positive 1-tiles to each side to form zero pairs.
Group the tiles to form zero pairs and remove the
zero pairs. Separate the remaining tiles into 5 equal
groups to match the 5 x-tiles. Each x-tile is paired
with 3 positive 1-tiles. The resulting equation is x = 3.
4. –7 = 3x + 8
SOLUTION: SOLUTION: 1
1
2
2
3
4
5
Place 5 x-tiles and 7 negative 1-tiles on one side of
the mat. Place 8 positive 1-tiles on the other side.
Since there are 7 negative 1-tiles with the x-tiles, add
7 positive 1-tiles to each side to form zero pairs.
Group the tiles to form zero pairs and remove the
zero pairs. Separate the remaining tiles into 5 equal
groups to match the 5 x-tiles. Each x-tile is paired
with 3 positive 1-tiles. The resulting equation is x = 3.
4. –7 = 3x + 8
4
Place 7 negative 1-tiles on one side of the mat. Place
3 x-tiles and 8 positive 1-tiles on the other side. Since
there are 8 positive 1-tiles with the x-tiles, add
8 negative 1-tiles to each side to form zero pairs.
Group the tiles to form zero pairs and remove the
zero pairs. Separate the remaining tiles into 3 equal
groups to match the 3 x-tiles. Each x-tile is paired
with 5 negative 1-tiles. The resulting equation is x = –
5.
5. 5 + 4x = –11
SOLUTION: SOLUTION: 1
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Group the tiles to form zero pairs and remove the
zero pairs. Separate the remaining tiles into 3 equal
groups to match the 3 x-tiles. Each x-tile is paired
with 2-3:
5 negative
1-tiles.
resulting
equation Equations
is x = –
Explore
Algebra
LabThe
Solving
Multi-Step
5.
5. 5 + 4x = –11
Group the tiles to form zero pairs and remove the
zero pairs. Separate the remaining tiles into 4 equal
groups to match the 4 x-tiles. Each x-tile is paired
with 4 negative 1-tiles. The resulting equation is x = –
4.
6. 3x + 1 = 7
SOLUTION: SOLUTION: 1
1
2
2
3
4
3
Place 3 x-tiles and 1 positive 1-tile on one side of the
mat. Place 7 positive 1-tiles on the other side.
Remove 1 positive 1-tile from each side. Separate
the remaining tiles into 3 equal groups to match the 3
x-tiles. Each x-tile is paired with 2 positive 1-tiles.
The resulting equation is x = 2.
7. 11 = 2x – 5
4
Place 4 x-tiles and 5 positive 1-tiles on one side of
the mat. Place 11 negative 1-tiles on the other side.
Since there are 5 positive 1-tiles with the x-tiles, add
5 negative 1-tiles to each side to form zero pairs.
Group the tiles to form zero pairs and remove the
zero pairs. Separate the remaining tiles into 4 equal
groups to match the 4 x-tiles. Each x-tile is paired
with 4 negative 1-tiles. The resulting equation is x = –
4.
6. 3x + 1 = 7
SOLUTION: 1
2
SOLUTION: 1
3
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mat. Place 7 positive 1-tiles on the other side.
Remove 1 positive 1-tile from each side. Separate
the remaining tiles into 3 equal groups to match the 3
x-tiles.
Each
x-tile isLab
paired
with 2Multi-Step
positive 1-tiles.
Explore
2-3:
Algebra
Solving
Equations
The resulting equation is x = 2.
7. 11 = 2x – 5
tiles with the x-tiles, add
5 positive 1-tiles to each side to form zero pairs. Grou
form zero pairs and remove the zero pairs. Separate t
tiles into 2 equal groups to match the 2 x-tiles. Each x
with 8 positive 1-tiles. The resulting equation is x = 8.
8. 7 + 6x = –11
SOLUTION: SOLUTION: 1
1
2
3
2
4
Place 11 positive 1-tiles on one side of the mat. Place
5 negative 1-tiles on the other side. Since there are 5
tiles with the x-tiles, add
5 positive 1-tiles to each side to form zero pairs. Grou
form zero pairs and remove the zero pairs. Separate t
tiles into 2 equal groups to match the 2 x-tiles. Each x
with 8 positive 1-tiles. The resulting equation is x = 8.
3
8. 7 + 6x = –11
SOLUTION: 4
Place 6 x-tiles and 7 positive 1-tiles on one side of th
mat. Place 11 negative 1-tiles on the other side. Sinc
there are 7 positive 1-tiles with the x-tiles, add 7 nega
1-tiles to each side to form zero pairs. Group the tiles
form zero pairs and remove the zero pairs. Separate t
remaining tiles into 6 equal groups to match the 6 x-til
Each x-tile is paired with 3 negative 1-tiles. The resul
equation is x = –3.
1
9. What would be your first step in solving 8x – 29 =
67?
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SOLUTION: To solve 8x – 29 = 67, we need to isolate the x term
on the left side. To do this, we would add 29 to each
1-tiles to each side to form zero pairs. Group the tiles
form zero pairs and remove the zero pairs. Separate t
remaining tiles into 6 equal groups to match the 6 x-til
Explore
Multi-Step
Equations
Each2-3:
x-tileAlgebra
is pairedLab
withSolving
3 negative
1-tiles. The
resul
equation is x = –3.
9. What would be your first step in solving 8x – 29 =
67?
SOLUTION: To solve 8x – 29 = 67, we need to isolate the x term
on the left side. To do this, we would add 29 to each
side. Using algebra tiles, add 29 yellow 1-tiles to each
side. 10. What steps would you use to solve 9x + 14 = –49?
SOLUTION: To solve 9x + 14 = –49, first we need to isolate the
x-term on the left side. To do this, subtract 14 from
each side. Using algebra tiles, add 14 red –1-tiles to
each side. This leaves 9x = –63.
Then, divide each side by 9. Using algebra tiles,
group each x-tile with 7 red –1-tiles. eSolutions Manual - Powered by Cognero
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