Simplify Expressions ILearn

Combine Like Terms

100

What are like terms? 

They have the same variable to the same degree

200

Combine like terms:
6x³-8x+9x-3x³+2

3x³+x+2

300

How many terms would there be the following expression is simplified? 

7y⁵+8y³-x³+y⁵-x

3 terms

400

Combine like terms:
-3.5x+8x²-y+5x²-x+10y

13x²-4.5x+9y

500

After simplifying, what is the coefficient of the x² term? 

8y+7x²-x²+3y-11x²-x

-4

Distributive Property

100

What operation do you use to simply using the distributive property? 

Multiplication

200

Consider the expression 9(2x+5y). 

Write an expression that shows the sum of exactly two terms that is equivalent to 9(2x+5y). 

18x+45y

300

Select ALL answers equivalent to -3(7x+y)

a. -3(7x) + -3(y)

b. -3(7xy)

c. -21x-3y

d. -21x+y

a and c

400

Consider the equation showing the distributive property: 42+36=6(7+__)

Tell the value that would make the equation true

6

500

Consider the equation using the distributive property: 25-70=5(5+__). 

Enter the value that would make the equation true. 

-14

Evaluate Expressions

100

If x=5, evaluate the expression 7x+2

37

200

If y=2, evaluate the expression 8y-2

14

300

Enter the value of 3/4 times y² when y=3

27/4 or 6 3/4

400

If x=4.2, evaluate the expression 5x-17.2

3.8

500

If x=-3, evaluate the expression -2x-3

3

Simplify Everything

100

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

7x-2y

200

Simplify: -7(x+2) -x+8

-8x-6

300

Simplify: 8(5x-6y) +3(2x+10y)

46x-18y

400

Simplify: -5(3x-4) - (4x+5)

-19x+15

500

Simplify: -x+7y -10(0.5x+y)

-6x-3y

Equivalent or not?

100

Equivalent? Explain

3x - 10 and 3(x - 10)

No. If simplified they are not the same (or if x=1 they are -7 and-27)

200

Equivalent?

2x + 3 - 5x - 4 and -1 - 3x

Yes. When simplified they are the same.

300

Equivalent?

-2(x - 5) and -2x + 10

Yes. They are both -2x+10 when simplified.

400

If x=2, y=-4, and z=3 find,

3x - y + z

13

500

If a=4, b=-5 and c=2, find

a/c + b

-3