Dist Prop and Algebra

Distributive Property

100

Demonstrate the Distributive Property with 3(x+7)

What is 3x + 21

200

Demonstrate the Distributive Property with (5x - 8)6

What is 30x + -48

300

Demonstrate the Distributive Property with -4(x-3)

What is -4x + 12

400

Demonstrate the Distributive Property with (-7 + 5x)-5

What is -35 + -25x

500

-3(-4x - -4)

What is 12x - 12

Equations

100

Suppose a race car travels at an average rate of 165 miles per hour for 3 hours. What distance did the race car travel?

What is 495 miles

200

What is the speed in miles per hour of a cyclist who travels 63 miles in 7 hours?

What is 9 mph?

300

Simplify 5m - 3 - 9m + 4

What is -4m - 1 or -4m + -1

400

Translate the sentence into an equation. Then solve the equation: The difference between 8 times a number and 4 is 28

What is 8n - 4 = 28 n = 4

500

Translate the sentence into an equation. Then solve the equation: If 17 is decreased by twice a number, the result is 5.

What is 17 - 2n = 5 n = 6

More Equations

100

Solve y + 6 = 18

What is y = 12

200

Solve 2y - 4 = 8

What is y = 6

300

Solve h - 13 = -7

What is h = 6

400

Solve k = -12 --- -2

What is k = 24

500

Solve 6h - 5h + 3 =-2

What is h = -5

Demonstrate 1

100

Demonstrate with the Algebra Balance 2x = x + 3

What is x= 3

200

Demonstrate with the Algebra Balance x + 2x + 5 = x +19

What is x = 7

300

Demonstrate with the Algebra Balance x + 2x + 14 = 5x +2

What is x = 6

400

Demonstrate with the Algebra Balance 5x= 3x +10

What is x = 5

500

Demonstrate with the Algebra Balance x + 2 + 2x = x +12

What is x = 5

Demonstrate 2

100

Solve 3x (3x+y)

What is 9x^2 +3xy

200

-4x(2x -2y)

-8x^2+8xy

300

2x -3x(x +y)

-3x^2+2x-3xy

400

7x(5x-8)+6

35x^2-56x+6

500

A farmer sells fruit baskets containing 2 apples, 5 bananas and one dozen cherries. If the price for each apple, banana and cherry is represented by a, b and c respectively, the find an expression for the total cost of 7 such baskets.

7(2a+5b+12c)