After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?


One-half x = 36 + 5
One-half (x minus 5) = 36
One-half (x + 5) = 36
One-half x + 5 = 36

One-half x + 5 = 36

Felix wrote several equations and determined that only one of the equations has no solution. Which of these equations has no solution?

3 (x minus 2) + x = 4 x + 6
3 (x minus 2) + x = 4 x minus 6
3 (x minus 2) + x = 2 x minus 6
3 (x minus 2) + x = 3 x minus 3

3 (x minus 2) + x = 4 x minus 6

Margo spends a quarter of her paycheck on a new dress, One-eighthof her paycheck on shoes, and $24 on a birthday present. If she spent $60 altogether, how much was Margo’s paycheck?

$96
$160
$216
$504

$216

Oksana wrote the equation below on the whiteboard.

6 b + 6 = 48

What is the value of b?

b = 7

What is the value of x in the equation below?

6 (x minus 8) = 72

x = 16

What is the value of x in the equation below?

6 (x minus 8) = 72
12
15
20
24