Algebraic Expressions Review

Vocab

100

Identify the variables in the following algebraic expression: 7x + 2y - 2.3 + 9a

x, y, and a

200

Identify the coefficients in the following algebraic expression: 9p + 2y - 1

9 and 2

300

Identify the constant term in the following algebraic expression: 2d + 9 + 12t

9

400

What are the like terms in the following?

9j + 4k - 7 + 2k - 7j

9j and -7j

4k and 2k

500

Is the following written in expanded form or exponent form?

5 x 5 x 5 x 5 x 5 

Expanded form

Translate

100

Write an algebraic expression to model the following situation: 12 more than x

x + 12 or 12 + x

200

Jim is j years old. Alex is 4 years younger than Jim. Write an expression to indicate how old is Alex in terms of j?

j-4

300

Write an algebraic expression to model the following situation: 17 less than the quotient of k and 4

(k/4) - 17

400

Write an algebraic expression to model the following situation: 6 less than the product of 8 and k

8k - 6

500

Write an algebraic expression to model the following situation: The product of 3 and the difference of k and 2.

3(k-2)

Simplify

100

Simplify the following expression: v + v + 5 - 2 + 3v

5v + 3

200

Simplify the following expression: 4k + 3j + 6 + k + 8j

5k+11j+6

300

Simplify the following expression: 4(d-3f)+14f

4d+2f

400

Simplify the following expression: 3 + 8p + 3r - 4p + 6p + 1 - r

10p+2r+4

500

Simplify the following expression: 17 + 15x - 10 - 12x 

3x+7

Evaluate

100

Evaluate the following expression if x=2: 

3x - 16

3(2)-16

6-16

-10

200

Evaluate the following expression if z=12: 

4 + 1/2z

4 + 1/2z

4 + 1/2(12)

4 + 6

10

300

Evaluate the following expression if r=6: 

16 - r - 4

16 - 6 - 4=

10 - 4 = 6

400

Evaluate the following expression if x=3: 

(24+ x) - (9x-3)

(24 + x) - (9x - 3)

(24+ 3) - (9(3) - 3)

  27 -  (27 - 3)

  27     -   24  = 3

500

Evaluate the following expression if y=7, s=2 

21y + 2y + 3s

21(7) + 2(7) + 3(2) =

147 + 14 + 6 

167

Miscellaneous

100

Write the expressions in standard form.

Are the following expressions equivalent?

2+7n and 3n+2+4n

7n+2 and 7n+2

Yes

200

Distribute:

12(2x + 3)

12(2x + 3)

24x +36

300

Which property of operations is the following an example of?

y + 0 = y

A. Commutative Property of Addition

B. Identity Property of Addition

C. Associative Property of Addition

B. Identity Property of Addition

400

Write the following in standard form:

3 x 3 x 3 x 3 x 3

243

500

Simplify:

(20 - 2) + 10 to the second power

(20 - 2) + 10 to the second power

18 + 100 

118