Khan Academy Digital SAT Math Foundations: Algebra Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you find the value of y in a system of equations?

Back

Substitute the value of x into one of the equations and solve for y.

Front

What does the inequality H - G ≤ 140 represent in a sales context?

Back

It represents the maximum difference between the number of hot dogs (H) and Gatorade bottles (G) sold.

Front

If Carl sells hot dogs for $1.50 each and Gatorade for $1.25 each, how do you calculate total sales?

Back

Total sales = (1.50 * H) + (1.25 * G), where H is the number of hot dogs and G is the number of Gatorade bottles sold.

Front

What is a solution to a system of inequalities?

Back

A point that satisfies all inequalities in the system.

Front

How do you evaluate the expression 2.25c + 1.50p for c = 10 and p = 5?

Back

Substitute c and p into the expression: 2.25(10) + 1.50(5) = 22.50 + 7.50 = 30.

Front

What is the relationship between Mr. and Mrs. Martin's scores in the basketball tournament?

Back

Mr. Martin scored 1.5 times as many points as Mrs. Martin.

Front

How can you represent Mr. Martin's and Mrs. Martin's scores with equations?

Back

Let J = Mr. Martin's score and M = Mrs. Martin's score. The equations are: J + M = 60 and J = 1.5M.

Front

What is the purpose of graphing a system of inequalities?

Back

To visually represent the solution set where all inequalities overlap.

Front

What does it mean if a point lies within the shaded area of a graph of inequalities?

Back

It means that the point satisfies all the inequalities represented in the graph.