Solving Linear Equations
Word Problems - Equations
Area
Distributive Property
Area & Algebra
100

x - 8 = 6

x = 14

100

The sum of the angles on a straight line is 180 deg. Write an equation for diagram A then find the value of the unknown letter.

y = 50 deg

100

What is the area of diagram B?

23 m^2

100

-4(2x - 6)

-8x + 24

100

What is the area of diagram G?

d^4  + d^3 p^2

200

4y + 5 = 25

y = 5

200

The length of a rectangle is twice its width. If the perimeter is 72m, what is the length and width of the rectangle?

width = 12 m

length = 24 m

200

What is the area of diagram C?

12.5 m^2

200

3x(1 + 2x - x^2)

-3x^3  +  6x^2  +  3x

200

What is the area of diagram H?

9e^2  +  3e

300

g/6  - 7 = 5

g = 72

300

The sum of two numbers is 25. The second number exceeds the first number by 9. What are the two numbers?

First # - 8

Second # - 17

300

What is the area of diagram D?

12.56 cm^2

300

2(y - 1) + 3(y - 2)

5y - 8

300

What is the area of diagram I?

154 c^2 

400

3p - 4 = 2p + 5

p = 9

400

The cost of 2 tables and 3 chairs is $705. If the table cost $40 more than the chair, find the cost of the table and chair.

Table - $165

Chair - $125

400

What is the area of diagram E?

63 cm^2

400

4x^2 (2 - 3x)   -   4(3x - 4)

-12x^3 + 8x^2  + 12x  - 16

400

What is the area of diagram J?

-25ab - 20a

500

6r - 9 = 3r + 4

r = 13/3   or 4 1/3  or 4.333

500

Robert's father is 4 times as old as Robert. After 5 years, his father will be 3 times as old as Robert. Find their present age.

Robert is 10 years old

His father is 40 years old

500

What is the area of diagram F?

45 m^2

500

(2z + 1) ( 3 + z)

2z^2  + 7z  +  3

500

What is the area of diagram K?

f^2  + 8f  + 16

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