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Expressions
Like Terms
The Distributive Law
Substitution
Solving to find x
100

Write the expression for 10 more than x

x + 10

100

Collect the like terms:

2a + 3a + 8b

5a + 8b

100

Use the Distributive Law to expand the following:

2(a+8)

= (2xa) + (2x8) 

= 2a + 16

100

Evaluate x+10 if x = 5

= 5+10 

= 15

100

x + 6 = 20

x + 6 - 6 = 20 - 6

x = 14

200

Write the expression for 6 less than b

b-6

200

Collect the like terms: 

5a - 3a + 7b - 2b

2a + 5b

200

Use the Distributive Law to expand the following:

3(a-3)

= (3xa) - (3x3)

= 3a - 9

200

Evaluate 14 - y if y = 6

= 14 - 6

= 8

200

x - 9 = 10

x - 9 + 9 = 10 + 9

x = 19

300

Write the expression for 7 lots of y

7y

300

Collect the like terms: 

2a - 6a + 9b

-4a + 9b

300

Use the Distributive Law to expand the following:

5(y-11)

= (5xy)-(5x11)

= 5y - 55

300

Evaluate 3a if a = 7

= 3 x 7 

= 21

300

2x = 50

2x/2 = 50/2

x = 25

400

Write the expression for k divided by 6

k/6

400

Collect the like terms: 

4xy + 4x + 4xy + 4y

8xy + 4x + 4y

400

Use the Distributive Law to expand the following:

3a(b + 4)

= (3a x b) + (3a x 4)

3ab + 12a

400

Evaluate y/5 if y=20

= 20/5

= 4

400

2x + 3 = 13

2x + 3 - 3 = 13 - 3

2x = 10

2x/2 = 10/2

x = 5

500

Write the expression for 8 lots of a plus 9

8a + 9

500

Collect the like terms: 

3xy - 10xy + 10xy + 2xy

5xy

500

Use the Distributive Law to expand the following:

2a(a + b)

=(2a x a) + (2a x b)

= 2a2 + 2ab

500

Evaluate 6x + 7 if x = 10


= 6x10 + 7 

= 60 + 7

= 67

500

y/7 = 4

y/7 x = 4 x 7

y = 28