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Writing algebraic expressions
Distribute OR Combine Like Terms
Identifying Parts of an Expression
Simplifying Expressions
Equivalent expressions
100
Write an expression for the product of 3 and w.
What is 3w?
100

Remove the parentheses. 4(2x-1)

Distribute the 4 to get 8x-4

100
3x + 4y + 2z + 9 Identify the constant.
What is 9?
100

9(a+4)-2a 

7a+36

100

Is 2x+5 and equivalent expression to 2(x+5)? If not, why?

No because 2(x+5) equals 2x+10

200
Write an expression for w less than 15.
What is 15 - w?
200

Remove the parentheses. 5(y + 2x)

Distribute the 5 to get 5y + 10x

200
In the algebraic expression 4z + 7p + 18q + 2r identify the number of terms.
What is four? (4z & 7p & 2r & 18q )
200

17+5(4n-2)

20n+7

200

Is 4+8y and equivalent expression for 1/2(8+16y)? If not, why?

Yes

300
Write an expression for the difference of twice p and 9.
What is 2p - 9?
300

Remove the parentheses.  1/3(6x+9)

Distribute the 1/3 to get 2x + 3

300
The expression is x + 12. State the coefficient of x.
What is 1?
300

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

13x+12y

300

Is 10z+16 and equivalent expression for 2(5z-8)? If not, why?

No because it is equivalent to 10z - 16.

400

Mrs. Kramer goes to the movie with her children. She buys everyone tickets for $6.50 each.  Some of the children want popcorn for that costs $2 a bag. Write an expression that models the amount of money she spent. Identify the variables in the problem. 

If t= unknown # of tickets and p= unknown # of bags of popcorn purchased, then the expression would be $6.50t + $2p

400

5xy + 4y - 3xy + x

2xy + 4y + x

400

Identify the like terms in the expression 5x2+3+x2+7x.

5x2 and x2 (or 1x2)

400

8k+2(9-k)-1

6k+17

400

What is an expression that is equivalent to 1/2(2x + 1/2)?

x+1/4

500
Write an expression for the difference of r and 8 times 9.
What is the difference of 9(r - 8) or (r - 8) * 9?
500

2x2 + 5x - 6 + 2x - x2

x2 + 7x - 6

500

Identify the variable terms in 9p + q + 6w + 8. 

9p, q, and 6w 

500

9(z+3)+4(1-2z)

z+31

500

What expression is equivalent to 4x+8? (Hint - do the opposite of multiplication to put parenthesis into the expression)

2(2x+4) or 4(x+2)