The sum of Lisa's and Jack's scores on there first algebra test is 6 less than twice Lisa's score. What is the lowest possible score jack could have earned on the test ?

L+J < 2L-6

Solve for J

Let's assume that Lisa's score on the test is "L" and Jack's score is "J". According to the information given, the sum of Lisa's and Jack's scores is 6 less than twice Lisa's score, which can be expressed as:

L + J = 2L - 6

To find the lowest possible score Jack could have earned, we can rearrange the equation:

J = 2L - L - 6

Simplifying it further:

J = L - 6

As we want to find the lowest possible score for Jack, we need to find the smallest possible value for J.

Since J is dependent on L, the lowest possible value for L will result in the lowest possible value for J.

Now, let's consider the scenario where Lisa's score (L) is at its minimum, which is 1:

J = 1 - 6

J = -5

Therefore, the lowest possible score Jack could have earned on the test is -5. However, test scores are typically non-negative, so in a realistic scenario, the lowest possible score Jack could have earned would be 0.

To find the lowest possible score Jack could have earned on the test, we need to understand the given information and set up an inequality.

Let's assume Lisa's score is represented by "L" and Jack's score is represented by "J".

According to the given information, the sum of Lisa's and Jack's scores on their first algebra test is 6 less than twice Lisa's score. Mathematically, we can express this as:

L + J = 2L - 6

To find the lowest possible score Jack could have earned, we need to minimize his score (J). So, we want to find the smallest possible value for J that satisfies the equation above.

To do this, we can subtract L from both sides of the equation:

J = L - 6

Since we want to find the lowest possible value for J, we need to determine the lowest value for L. Let's consider the extreme case where L is as small as possible, which is 0 (the lowest non-negative integer). Substituting L = 0 into the equation, we get:

J = 0 - 6
J = -6

Therefore, the lowest possible score Jack could have earned on the test is -6. However, it's important to note that test scores are typically non-negative, so in a realistic scenario, Jack's score cannot be negative.