6.4 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

After the following algebraic expression is simplified, how many terms will it have: 9b + 7b + 4 - 2b - d + 4c - 12 + c

4 terms

Translate

100

Write an algebraic expression to model the following situation: 7 more than one-half of p

0.5p+7 OR (p/2)+7 OR (1/2)p+7

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 + (5/6)z

4+(5/6)(12)

4+10

14

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

Write the expressions in standard form.

Are the following expressions equivalent?

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

7n+2 and 7n+2 

no

200

Write the expressions in standard form.

Are the following expressions equivalent?

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

2x+5 and 2x+5

Yes

300

Write the expressions in standard form.

Are the following expressions equivalent?

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

3w-5 and 2w+5

No

400

Write the expressions in standard form.

Are the following expressions equivalent?

(12y/3) and 3y

4y and 3y

No

500

Write the expressions in standard form.

Are the following expressions equivalent?

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

12s and 12s

Yes