Midterm Review Algebra 1

These flashcards cover key algebra concepts and problem-solving techniques discussed in the midterm review lecture.

What is the relationship between the number of tests Ms. Wallace and Mrs. Gurley have to grade if together they have 300 tests?

Ms. Wallace has t tests to grade, Mrs. Gurley has t + 50 tests.

How do you write an inequality for Sam's potato salad budget?

3.75 + 1.50 + 3.50p ≤ 7, where p is the pounds of potato salad.

What is the standard form of the equation relating water in the reservoir after x minutes?

y = 15x + 320.

What does the reasonable domain for the profit function f(x)=200x−1300 represent?

x ≥ 7, as 7 is the minimum number of basketballs produced to avoid loss.

What is the equation for the amount in Caleb's savings bond after t years?

200(1.04)^t.

What happens to the value of Maria's boat each year according to the model v(t) = 50,000(0.80)^t?

The value decreases by 20% each year.

What are the solutions to the inequality 2x - 3 > 5 or 3x - 1 ≤ 8?

x > 4 or x ≤ 3.

How many years will it take for Maria's boat to be worth less than $25,000?

It will take 4 years.

What is the equation of the line that passes through the points (-2, -1) and (3, -11)?

y = -2x - 3.

What statement could you make about the correlation between study hours and test scores?

More study hours likely correlate with higher test scores.