Algebraic Expressions

Parts of an Expression

100

What is the variable in this expression?

3d

d

200

What is the coefficient in this expression?

6m

6

300

What is the integer in this expression?

4r + 12

12

400

How many terms are in this expression?

8p + 6 - 3g

3 terms

500

What are the coefficients in this expression?

5v + 6 - 7h

5 and -7

Combining Like Terms

100

Combine like terms (SIMPLIFY).

4p + 3 + 2p

6p + 3

200

Combine like terms (SIMPLIFY).

3n - n + 9

2n + 9

300

Combine like terms (SIMPLIFY).

-3n + 4 - 1 + 5n

2n + 3

400

Combine like terms (SIMPLIFY).

8d - 8 + 2d + 4

10d - 4 

OR 

10d + (-4)

500

Combine like terms (SIMPLIFY).

-7m - 5 + 4z - 2m + 7

-9m + 4z + 2

Distributive Property

100

Simplify (DISTRIBUTE).

3(4 + x)

12 + 3x

200

Simplify (DISTRIBUTE).

-2(p + 6)

-2p - 12 

OR

-2p + (-12)

300

Simplify (DISTRIBUTE).

-5(-5 + 2u)

25 - 10u 

OR

25 + (-10u)

400

Simplify (DISTRIBUTE).

7(2w - 1)

14w - 7

500

Simplify (DISTRIBUTE).

3(t + 5 + 3a)

3t + 9a + 15

Evaluating Expressions

100

Solve (EVALUATE).

c + 4  

if c = 9

13

200

Solve (EVALUATE).

5f  

if f = 10

50

300

Solve (EVALUATE).

-8 + 2k

if k = 4

0

400

Solve (EVALUATE).

-6(j + 1)

j = 4

-30

500

Solve (EVALUATE).

5x + 3(x - 1)

if x = 2

13

Negative Integers

100

When you ADD two NEGATIVE numbers, the sum is...

negative

200

When you MULTIPLY two NEGATIVE numbers, the product is...

positive

300

When you MULTIPLY a NEGATIVE number AND a POSITIVE number, the product is...

negative

400

TRUE or FALSE?

5 - 2 

is the the same as 

5 + (-2)

TRUE

500

TRUE or FALSE?

4 - (-2)

is the same as

4 - 2

FALSE