Below is the equation that represents the markers Janelle brought in for her math group.
x = the number of students in Janelle's math group.
3x + 5 = 23
Solve the equation to determine how many students are in Janelle's group?
Starting with the equation:
3x + 5 = 23
Subtracting 5 from both sides:
3x = 18
Dividing both sides by 3:
x = 6
Therefore, there are 6 students in Janelle's math group.
Consider this equation:
–2x – 4 + 5x = 8
Generate a plan to solve for the variable. Describe the steps that will be used.
To solve for the variable in the equation -2x - 4 + 5x = 8, we can use the following steps:
1. Combine like terms on the left side of the equation. In this case, we can combine the -2x and 5x terms:
-2x + 5x = 3x
2. Add 4 to both sides of the equation to isolate the variable:
-2x + 5x + 4 = 8 + 4
Simplifying:
3x + 4 = 12
3. Finally, isolate the variable by subtracting 4 from both sides of the equation:
3x + 4 - 4 = 12 - 4
Simplifying:
3x = 8
4. To find the value of the variable x, divide both sides of the equation by 3:
3x/3 = 8/3
Simplifying:
x = 8/3
Therefore, the solution to the equation -2x - 4 + 5x = 8 is x = 8/3.
1. Combine like terms on the left side of the equation. In this case, we can combine the -2x and 5x terms:
-2x + 5x = 3x
2. Add 4 to both sides of the equation to isolate the variable:
-2x + 5x + 4 = 8 + 4
Simplifying:
3x + 4 = 12
3. Finally, isolate the variable by subtracting 4 from both sides of the equation:
3x + 4 - 4 = 12 - 4
Simplifying:
3x = 8
4. To find the value of the variable x, divide both sides of the equation by 3:
3x/3 = 8/3
Simplifying:
x = 8/3
Therefore, the solution to the equation -2x - 4 + 5x = 8 is x = 8/3.
Yes, that's correct.
Julissa gave out an equal number of oranges to each of the 6 apartments on her floor. If she gave each apartment 5 oranges, how many oranges did Julissa give out in all?
StartFraction 5 Over 6 EndFraction
1 and one-fifth
11
Julissa gave out a total of:
5 oranges per apartment x 6 apartments = 30 oranges in all.
Therefore, Julissa gave out 30 oranges in all.
Oksana wrote the equation below on the whiteboard.
6 b + 6 = 48
What is the value of b?
4
7
8
9
To solve for b in the equation 6b + 6 = 48, we can use the following steps:
1. Subtract 6 from both sides of the equation:
6b + 6 - 6 = 48 - 6
Simplifying:
6b = 42
2. To find the value of b, divide both sides of the equation by 6:
6b/6 = 42/6
Simplifying:
b = 7
Therefore, the value of b in the equation 6b + 6 = 48 is b = 7.
So, the answer is 7.
Mrs. McAlister wrote the equation 10 t minus 4 t + 3 t = 8 on the board and asked students to write an equivalent equation. The table below shows the responses from four students.
Student Responses
Name
Equation
Michele
3 t = 8
Piotr
6 t = 8
Ronnie
Negative 1 t = 8
Tanisha
9 t = 8
Which student wrote an equation that is equivalent to Mrs. McAlister’s?
Michele
Piotr
Ronnie
Tanisha