Vocabulary
Identify the variables in the following algebraic expression:
7x + 2y - 2.3 + 9a
x, y, a
Write an algebraic expression to model the following situation:
7 more than one-half of p
0.5p + 7
(p/2) + 7
(1/2)p + 7
Simplify the following expression:
v + v + 5 - 2 + 3v
5v + 3
Write the expressions in standard form.
Are the following expressions equivalent?
2 + 7n
3n + 2 + 4n
Yes
7n + 2
Which property is represented?
(x + y ) + z = x + ( y + z )
Associative Property
Identify the coefficients in the following algebraic expression:
9p + 2 + q - 1
9 and 1
Jim is j years old. Alex is 4 years younger than Jim. Write an expression to indicate how old Alex is in terms of j.
j - 4
Simply the following expression:
4k + 3j + 6 + k + 8j
5k + 11j + 6
Write the expressions in standard form.
Are the following expressions equivalent?
2x + 5
x + 8 + x - 3
Yes
2x + 5
Which property is represented?
4z + 8 + 2z = 2z + 4z + 8
Identify the constant in the following algebraic expression:
2d + 9.2 - 12t
9.2
Write an algebraic expression to model the following situation:
17 less than the quotient of k and 4
(k/4) - 17
Simply the following expression:
4(d - 3f) + 14f
4d + 2f
DAILY DOUBLE
Write the expressions in standard form.
Are the following expressions equivalent?
3w - 5
2 + 4w + 3 - 2w
No, they are not equivalent.
3w - 5
2w + 5
Which property is represented?
-6(2a - 7) = -6(2a) - 6(-7)
Distributive Property
How many terms are in the following algebraic expression:
9j + 4k - 7 + 2p - 7x
5 terms
Write an algebraic expression to model the following situation:
6 less than the product of 8 and k
8k - 6
Simply the following expression:
3 + 8p +3r - 4p + 6p + 1 - r
10p + 2r + 4
Write the expressions in standard form.
Are the following expressions equivalent?
(12y/3) and 3y
No, they are not equivalent.
4y
3y
Which property would you apply FIRST for to simpify:
4 + 5 (3x + 2) − 2x
Distributive Property
DAILY DOUBLE
After the following algebraic expression is simplified, how many terms will it have:
9b + 7b + 4 - 2b - d + 4c - 12 + c
4 terms
DAILY DOUBLE
Write an algebraic expression to model the following situation:
The product of 3 and the difference of k and 2
3(k-2)
Simply the following expression:
6(x-7) - 2(x-5)
4x - 32 OR -32 + 4x
Write the expressions in standard form.
Are the following expressions equivalent?
(60s/5)
s + 14s - 3s
Yes
12s
What properties were used IN ORDER when this problem was simplified? There are four properties- they may be repeated!
8 - 2(-3x-15) - 15 +(x - 8)
8 -2(-3x) - 2(-15) + (x - 8) (property?)
8 + 6x + 30 + (x - 8)
8 + 30 + 6x + (x - 8 ) (property?)
38 + (6x + x) - 8 (property?)
38 - 8 + 7x (property?)
30 + 7x
Distributive, Commutative, Associative, Commutative