Chapter 5 Review: Algebra

Writing Expressions/Word Problems

100

Find 9 more than z

z + 9 

200

A penguin ate 5 buckets of fish, each containing w fish. A seal took 8 fish when the penguin wasn't looking. How many fish were left? Give your answer in terms of w.

There were 5w - 8 fish left.

300

Find 11 less than b, then divide by 7

     Z-11

___________

       4

400

Lucy has $340. She spends x dollars on a chair. Then spends the rest of her money on 7 identical pillows. Write an expression to show how Lucy spent her money. Give your answer in terms of x. 

340 - x

_______

7

500

Armando has (2m + 10) pretzels and Cade has (7m - 35) pretzels. 

a. If m= 8, write an inequality to compare how many pretzels they have and write a sentence to tell who has more. 

b. For what value of m will both of them have the same number of pretzels. 

a. 26 > 21. Armando has more pretzels than Cade.

b. The value of m must be 9 for them to have the same number of pretzels.

Evaluating Expressions when Variable is Given

100

When x= 3

2x + 4 -x 

7

200

When x= 3,

5x - x - 12

0

300

When x=3

x + 5 

______

2

4

400

When x = 9,

(100 - 2x) 

________

2

41

500

When x = 5

100x

______

20

25

Simplifying Algebraic Expressions

100

4c + 2c + 10c

16c

200

12y - 7y - y 

4y

300

8y - 3y - 5y 

0

400

9r + 10 + 2 - 3r

6r + 12

500

4g + 17 - 2g + 9b - 2g + 1 - 8b

18 + b

Inequalities

100

When a=9

4a / 6 _______ 17 - a

<

200

When x= 8

2x - 9 ________ x -1

=

300

When a= 9

13 + (72/a) _______ 2a +2

>

400

When y=4

6y ______ 26

<

500

When x = 7

(50 - 3x) + 3 _______ 5 + (3x -x)

>

Solving Equations

100

3p - 4 = 8

p=4

200

10n + 6 = 15n - 9

n=3

300

12n + 7 = 8n +15

n=2

400

2s + 16 = 4s - 6

s=11

500

5m - 9 = 3m + 7

m=8