Algebraic Expressions Review

Vocabulary

100

Identify the variables in the following algebraic expression:

7x + 2y - 2.3 + 9a

x, y, a

200

Identify the coefficients in the following algebraic expression:

9p + 2 + q - 1

9 and you could also say 1.

300

How many terms are in the following algebraic expression:

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

5 terms

400

What operations do each of these words mean?

sum

difference

product

quotient

Addition - sum

Subtraction - difference

Multiplication - product

Division - quotient

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 p

p + 7

7 + p

200

Write an algebraic expression to model the following situation:

 the quotient of k and 4

k/4 

300

Write an algebraic expression to model the following situation:

6 less than the product of 8 and k

8k - 6

400

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

500

Write an algebraic expression to model the following situation:

Triple x subtracted from 20

20 - 3x

combine like terms

100

Simplify the following expression:

v + v + 5 - 2 + 3v

5v + 3

200

Simply the following expression:

4k + 3j + 6 + k + 8j

5k + 11j + 6

300

Simply the following expression:

17 + 15x - 10 - 12x

3x + 7

400

Simply the following expression:

3p + 5p² + 6p² + 9

3p + 11p² + 9

500

4x³ + 6x² - 3x² + 4x

4x³ + 3x² + 4x

Simplify

100

Simplify the expression

5(3x+2)

15x+10

200

Simplify

4(6-3y)

24-12y

300

Simplify

2w+7(w+3)

9w+21

400

Simplify 

-5y+3(2x+y)-4

6x-2y-4

500

Simplify 

4(x+7)+5(3x+9)

19x+73

Evaluate

100

Evaluate: 2x -1 for x = 7

13

200

5(m-3) +10w for m= 8 and w = 2

45

300

Evaluate 2⁴

16

400

2²(3x+1) for x =2

28

500

Evaluate 5b²+28 for b = 1.5

39.25