Algebraic Expressions

Identifying

100

What is the variable in the following algebraic expression?

3-4w

w

200

What is the constant in the following algebraic expression?

5g+19

19

300

What is the coefficient in the following algebraic expression?

8-7y

-7

400

How many terms are in the following algebraic expression?

3x-4y+18-2z

4 terms

500

Which of the following algebraic expressions will have ONLY 2 terms AFTER being simplified?

3x-2y+18-5

21-3x+17-4x

2a+3b-4-5a

21-3x+17-4x

Simplifying

100

Identify the like terms in the following algebraic expression:

2x+8+3y+5

8,5

200

Simplify the given algebraic expression by combining like terms:

4-3x+2+8x

6+5x

300

Simplify the given algebraic expression by combining like terms:

4x^2-16x+2x-11

4x^2-14x-11

400

Simplify the given algebraic expression:

7h-3w+10h-3w

17h-6w

500

Simplify the given algebraic expression:

3xy+6x^2+10-2xy+8x^2

xy+14x^2+10

More Simplifying

100

Simplify:

 2x+5+4x-2

 

  6x+3 

200

Simplify

4b +4 + 3c + 6b +8

  10b +3c +12 

300

Simplify 

9x + 5 - 17 + 11x +22

What is 

20x+10

400

Simplify 

8a+3b-16a-3b

-8a

500

Simplify 

-8m^2+16L+12c^2-7L+6m^2-10

-2m^2+9L+12c^2-10

Evaluating

100

Evaluate the given expression if x=4 and y=2

2x-3y

2

200

Evaluate the given expression if x=-1 and y=3

3x-4y+2

-13

300

Evaluate the given expression if x=5, y=2, and z=3

2x-2y+2z+2

14

400

Evaluate the given expression if x=-3 and y=-5

4xy+6y

30

500

Evaluate the given expression if x=-1 and y=1

Hint: The answer is not a whole number

(3x^2)/(2y)

3/2

Distributive Property

100

Simplify 

5(x+2)

5x+10

200

Simplify 

-4(6x+3)

-24x-12

300

Simplify 

-10(7x-1)

-70x+10

400

Simplify 

-(7g-9)

-7g+9

500

Simplify 

3(8x-6)-5x

19x-18

Writing Algebraic Expressions

100

Write:

The expression for the total cost of 3 bags of chips, where c represents the cost of one bag of chips.

3c

200

Write:

An expression for the amount of money you have left after buying a $5 soda from an original amount of money, m.

.

m-5

300

Write: 

An expression for the total number of students on a field trip if there are 8 buses, and each bus has s students and 2 chaperones.

8(s+2)

400

Write: 

The expression for the total perimeter of a rectangle whose length is L and whose width is 4 inches less than its length.

2L+2(L-4)

500

Write Two Expressions for the sale price of a video game that costs p dollars after a 25% discount is applied.

p-0.25p

0.75p