Together, Kyle and Tyler traveled 425 miles to the beach. If Kyle traveled 240 miles, how far did Tyler travel?
Responses
A 2x = 425
B x + 240 = 425
C x − 240 = 425
D x − 425 = 240
The correct option is D) x - 425 = 240.
Solve.
5x - 5 = 50
Responses
A x = 8
B x = 9
C x = 10
D x = 11
To solve the equation 5x - 5 = 50, we will isolate the variable x.
First, let's add 5 to both sides of the equation:
5x - 5 + 5 = 50 + 5
This simplifies to:
5x = 55
Next, divide both sides of the equation by 5:
5x / 5 = 55 / 5
This simplifies to:
x = 11
Therefore, the solution is D) x = 11.
Jeff had a lemonade stand and ended up with 5 times as much money at the end of the day than at the beginning of the day. He ended the day with $110. How much did he start with?
Responses
A $22
B $105
C $115
D $550
To find out how much Jeff started with, we need to divide the amount he ended the day with ($110) by the amount he had at the beginning of the day (which we want to find).
Let's represent the amount Jeff started with as x.
According to the problem, Jeff ended the day with 5 times as much money as he started with. Therefore, we can set up the equation:
5x = $110
Now, let's solve the equation to find x.
Divide both sides of the equation by 5:
(5x)/5 = $110/5
This simplifies to:
x = $22
Therefore, Jeff started with $22.
The correct option is A) $22.
Which situation is best represented by the following equation?
1750 − 250x = 1000
Responses
A The Russell family went on a vacation. They started with $1750 and spent $250 each day. What is x, the number of people in the Russell family?
B The Russell family went on a vacation. They started with $1750 and spent $250 each day. What is x, the amount of money the Russells have left to spend?
C The Russell family went on a vacation. They spent $250 each day. What is x, the number of days the Russells have been on vacation if they have $1750 dollars to spend
D The Russell family went on a vacation. They started with $1750 and spent $250 each day. What is x, the number of days the Russells have been on vacation if they have $1000 dollars left to spend?
The equation 1750 - 250x = 1000 is best represented by option D) The Russell family went on a vacation. They started with $1750 and spent $250 each day. What is x, the number of days the Russells have been on vacation if they have $1000 dollars left to spend?
What is the value of x when -3x + 7x = -12?
Responses
A -3
B -6/5
C 3
D 4/7
E 6/5
To solve the equation -3x + 7x = -12, we can combine like terms.
-3x + 7x = -12
4x = -12
Next, we can isolate x by dividing both sides of the equation by 4.
4x/4 = -12/4
x = -3
Therefore, the value of x is -3.
The correct option is A) -3.
x/5 = 10
Responses
A 2
B 5
C 10
D 15
E 50