Simplifying Expressions Review

Vocabulary

100

What is the coefficient in the following algebraic expression?

3-4w

-4

200

What is the constant in the following algebraic expression?

5g+19

19

300

What is the coefficient in the following algebraic expression?

-7y + 8

-7

400

Name the like terms in this expression. 

3x-4y+18-2x

-2x and 3x

500

How many terms are in the following algebraic expression?

3x-2y+18-5

4

Simplifying

100

Simplify.

10+6y+2y+3

8y + 13

200

Simplify.

3a+6+5a-2

8a+4

300

Simplify 

5x + 2y - 3x + y - 5 + 8x

10x+3y-5

400

Simplify

(3x - 4) + (2x + 8)

5x + 4

500

Simplify. 

(2x - 7) + (-5x - 3)

-3x + -10

Distribution

100

Simplify:

1/2(6x - 8) - 1/4(4x - 12) - 3

  2x - 4 

200

Simplify using distribution:

2(15x + 20) + 2(9x - 6)

48x + -28 ?

300

Simplify by using distribution:

-5(-4n+3)

20n-15

400

Distribute and Simplify.

1 + 7(1 - 3x)

8+ -21x

500

Simplify.

5y+9(2-y)

-4y + 18

(Blank)

100

Simplify then solve if x=2

 3x - 15x

-12x
-12(2)
-24

200

Are 4x² and 4x like terms? Why or why not. MUST EXPLAIN. 

4x^2-3y+4x+2y

No. The variable must be to the same exponent. 

300

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

-12x^2 + (-4) + 9 +3x^2

 -9x^2 + 5

400

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

(-12x + 4) + (-5x + 15)

-17x + 19

500

What would the given algebraic expression become if x=4 and y=2. Simplify. 

2x-3y

2*4-3*2 = 8 - 6 = 2

Check for understanding

100

What operation is done when distributing a number?

multiplication

200

When distributing a negative, what number are you multiplying by?
Example: -(2 + -3) 

-1

Example: -(2 + -3) is the same as -1(2 + -3)

300

What number is automatically assumed as being the coefficient if a single variable is in an expression?
Example: y+2y

1
Example: 1y + 2y is the same as y + 2y

400

4x² + 5y² = 9xy²  True or false? EXPLAIN

x and y variables are different. CANNOT combine them.

500

Are -3y² and 4y like terms? EXPLAIN WHY YES OR NO. 

Same variable BUT NOT same power.