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 + 2 + q - 1

9

300

Identify the constant term in the following algebraic expression: 2d + 9.2 + 12t

9.2

400

How many terms are in the following algebraic expression: 9j + 4k - 7 + 2p - 7x

There are 5 terms.

500

What is the process for simplifying  expressions?

Do the Distributive property and then combine like terms

Translate

100

Write an algebraic expression to model the following situation: 7 more than 3 times p

3p + 7 or 7 + 3p

200

Jim is j years old. Alex is 4 years younger than Jim. Using the variable j, describe Alex's age.

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 x subtracted by the quotient of y and 2.

3x - y/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 + – 5z

4 + – 5 • 12

4 – 60

– 56

300

Evaluate the following expression if r=18: 

16 - (2/3)r - 4

16-(2/3)(18)-4

16-12-4

4-4

0

400

Evaluate the following expression if x=3: 

(11+x)/2-(9x-3)/4

(11+(3))/2-(9(3)-3)/4

(14/2)-(27-3)/4

7-(24/4)

7-6

1

500

Evaluate the following expression if y=7: 

The sum of (21/y) and (4y/2)

(21/(7))+(4(7)/2)

3+(28/2)

3+14

17

Equivalent?

100

Are the following expressions equivalent? Make n = 2.

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

16 and 16

Yes

200

Are the following expressions equivalent? Make x = 7

2x+5 and x+8+x-3

19 and 19

Yes

300

Are the following expressions equivalent? Make w = – 2.

3w-5 and 2+4w+3-2w

– 11 and 1

No

400

Are the following expressions equivalent? Make y = 10.

(12y/3) and 3y

40 and 30

No

500

Are the following expressions equivalent? Make s = – 5

(60s/5) and s+14s-3s

– 60 and – 60

Yes