Algebra!!!

Integers

1

3 yellow squares

+3

5

6 red squares

(-6)

10

3 yellow squares and 3 red squares

0

15

40 yellow squares

+40

20

56 red squares

(-56)

Variables

1

5 green rectangles

+5X

5

7 red rectangles

(-7X)

10

2 green rectangles and 5 red rectangles

(-3X)

15

39 green rectangles

+39X

20

89 red rectangles

(-89X)

Adding and Subtracting

1

Draw 3+2=

picture with 3 yellow squares and 2 yellow squares

5

Using both yellow and red squares, show the number 5

Picture using red and yellow squares with at least 1 zero pair and 5 yellow squares

10

Write the equations for the following picture: 4 yellow squares and 6 yellow squares

4+6=10

15

Solve: 15-7= using algebra tiles

Picture of 15 yellow tiles with 7 of the 15 tiles pulled away from the group

20

Solve: (-7)-(-3)=

(-4)

Multiplying

1

What does * (multiply) mean?

groups of

5

Solve: 4*5= using algebra tiles

4 groups of 5 yellow tiles = 20 yellow tiles

10

Write the equations for 6 groups of 3 yellow tiles

6*3=18

15

Write the equation for 3 groups of 9 red tiles

3*(-9)=(-27)

20

Use algebra tiles to solve (-3)*6=

(-18)

(-) tells us to take away 3 groups of 6 yellow tiles, so we need to add 6 sets of zero pairs in each group, then take away the yellow tiles.

Challenge

1

14 yellow squares and 15 red squares

(-1)

5

30 yellow squares and 16 red squares

+14

10

45 green rectangles and 30 red rectangles

+15X

15

Solve: (-15)-4=

(-19)

Start with 15 red squares, then add 4 sets of zero pairs...take away 4 yellow tiles leaving 19 red squares.

20

Solve using any method:

5(3X+5)=

if (-X=-2)

**Can use a calculator to solve facts, you must show all your work on a white board to get the points!

5(3X+5)=

(3X+5)(3X+5)(3X+5)(3X+5)(3X+5)=

(17X+25)=

**Remember (-X=-2) so (X=2)

17(2)+25=

34+25=

59