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Area & Perimeter
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Equation Challenge!
100

5x + 2x

7x

100

3 (x+4)

3x+12

100

A rectangle has a length of x + 3 and a width of 2 inches. What is the simplified expression for the area of the rectangle?

A = 2x + 6 in^2

100

x + 7 = 15

x=18

100

Sara has some money. She earns $8 more and now has $20. How much money did she start with?

x + 8 = 20

x=12

200

8 + 5x - 2x + 4

3x + 12

200

4 (2x-3) 

8x - 12

200

The length of a rectangle is 6x + 2mm and the width is 4mm. What is the area of the rectangle?

24x + 8 mm^2

200

4x - 6 = 18

x = 6

200

A number is doubled and then 6 is added. The result is 20. What is the number? Write an equation and solve. 

2x + 6 = 20 

x = 7

300

15 + 4.6x - 2.8x - 3x

15 - 1.2x

300

3 (2x+4) + 5x - 7

11x+5

300

The side length of a square is x + 3 inches. If the perimeter of the square is 28 inches, what is the value of x?

x = 4

300

5x + 4 = 2x + 19

x = 5

300

An equilateral triangle has side lengths of 2x+3 cm each. If the perimeter is 27 cm, what is the value of x?

3 (2x+3)= 6x+9

6x+9 = 27 

x=3

400

4(3x-2) + 5x - 7

17x - 15

400

5(3x-4) - 2(x+6)

13x - 32

400

The length of a rectangle is 6x + 2 mm and the width is 4 mm. What is the perimeter of the rectangle?

12x + 12mm

400

3(x+4)=24

x=4

400

Four friends go out to eat. Each friend buys a meal that cost x dollars. They also share a $12 appetizer. If the total bill is $60, how much does each friend's meal cost? Write an equation and solve. 

4x+12=60

x=12

500

3 (2x - 5) - 2 (4x + 3) + 7x

5x - 21

500

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

7x-27

500

A rectangle has a length of 3x + 4 inches and a width of 5 inches. Write a simplified expression for both the area and the perimeter of the rectangle?

A = 15x + 20 in^2

P = 6x + 18 in

500

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

x=11

500

A submarine is traveling below sea level. It descends 15 ft and reaches a depth of 42 ft below sea level. If x represents it original depth below sea level, write an equation and solve to find its original depth. 

x - 15 = -42

x=-27

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