Number Patterns and Writing and Solving Equations

Solve for x: 3x = 9

• x = 3

• x = 9

• x = 27

• x = 5

Pete mows lawns for 15 dollars per hour (h). Write an equation that represents the relationship between hours mowed and total profit (p).

• 15p = h

• ph = 15

• 15h = p

• 15 + h = p

Which expression below is equivalent to: p + p + p + p

• 5p

• 3p

• 4p

• p⁴

Solve for y: 1/2y = 10

• 10

• 20

• 5

• 12

Use the equation 4w + 10 and solve if w = 10.

• 40

• 50

• 24

• 2

Solve for a using the equation: a + 3.5 = 10

• a = 6.5

• a = 13.5

• a = 3.5

• a = 44

Tommy earns an allowance of 25 dollars per week. Write an equation to represent the number of weeks (w) and the total allowance (a).

• 25a = w

• aw = 25

• 2 + 5 = a

• 25w = a

The art teacher at my school is buying tubes of paint for an upcoming art project. At the store, she sees that they are on sale for $3.50 per paint tube. Write an equation to represent the relationship between number of paint tubes (p) and the total cost (c).

• p + c = 3.5

• 6p = c

• pc = 3.5

• 3.5p = c

If x = 7, which equation is true?

• 4x + 6 = 33

• 6x - 5 = 47

• 3x - 4 = 12

• 7x - 9 = 40

Which equation matches this situation?
Diego is saving money for concert tickets to Melanie Martinez, after mowing lawns he has a $120. He already has $46 saved and earned $15 per lawn.

• 46 + 15x = 120

• 15x + 46 = 120

• 120 = 46x - 15

• 120 = 46x = 15