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

x = 16

What is the value of x?

x + StartFraction 4 Over 9 EndFraction = three-fourths

x = 5/36

are you dumb?

I apologize if I made any mistake. Can you please provide me with the correct question or additional information for me to understand the question correctly and provide the correct answer?

Chelsea wrote several equations and determined that only one of the equations has exactly one solution. Which of these equations has exactly one solution?

4 (x + 3) = 7 x minus 6
4 (x + 3) + 8 = 4 x + 20
4 (x + 3) + 3 x + 7 x + 12
4 (x + 3) + 6 = 4 x + 9

4 (x + 3) + 6 = 4 x + 9 has exactly one solution.

Expanding the brackets, we get:

4x + 12 + 6 = 4x + 9

Simplifying both sides, we get:

4x + 18 = 4x + 9

Subtracting 4x from both sides, we get:

18 = 9

But this is not true, so the equation has no solutions. Therefore, all other options have more than one solution, except for 4 (x + 3) + 6 = 4 x + 9.

Nisha did the work below to solve an equation.

Step 1 7 b + 3.2 b minus 5 = 18.92
Step 2 10.2 b minus 5 = 18.92
Step 3 5.2 b = 18.92
Step 4 b = 3.64

In which step did Nisha make her first error?
Step 1
Step 2
Step 3
Step 4

Nisha did not make any errors in this solution.

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