Translating and Solving Equations

Solve for k:

38 + 7k = 8(k + 4)

• k = 6

• k = 8

• k = -6

• k = 1

The sum of a number and 8 is 12.
What is the number?

• 2

• 3

• 4

• 5

Translate: two times the sum of a number and five 

• 2 + y + 5

• 2y + 5 

• 2(y + 5)

• 2 - y + 5

Sixteen more than five times a number is fifty six.

• 5x + 56 = 16

• 16x + 5 = 56

• 5x + 16 = 56

• 5x - 16 = 56

A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?  

• 60 - 15x = 210 

• 15x - 60 = 210

• 15x + 60 = 210 

• 210 + 15x = 60 

A ice cream cone cost $3 plus an additional $0.50 per scoop. James paid a total of $4.50, which equation below models this situation.

• 3x + 0.50 = 4.50

• 0.50x = 7.50

• 0.50x + 3 = 4.50

• 4.50 + 0.50x = 3

Solve for a:

-3a + 8 = 14

• a = -2

• a = -7.5

• a = 2

• a = 6

Solve for x:

2x - 3 + 4x = 27

• x = 12

• x = 4

• x = 5

• x = 15

Solve for b:
 3(b - 4) = -3

• b = 3

• b = -3

• b = 5

• b = -5

Solve for b:
-11 + 3(b + 5) = 7

• b = 1

• b = -1

• b = 3

• b = -3