Linda scores 72 on her first algebra test. What must she score on the second test if her average score on both tests is to be 81

(81 * 2) - 72 = ?

(72 +x)/2 =81

Multiply both sides by 2 and subtract 72 to get ...

81(2)-72

90

To find out what Linda must score on the second test, we can set up an algebraic equation. Let's assume she scores "x" on her second test.

To find the average score, we add up the scores on both tests and divide it by the number of tests, in this case, 2.

The equation for the average score can be written as:
(72 + x) / 2 = 81

To solve for x, we can start by multiplying both sides of the equation by 2 to eliminate the fraction:
72 + x = 162

Next, we can isolate x by subtracting 72 from both sides of the equation:
x = 162 - 72
x = 90

Therefore, Linda must score 90 on her second test in order to have an average score of 81 on both tests.