Algebra 1-Expedited Retake Remediation/Review-5/9/2022-5/10/2022

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets of values.

Front

What does the inequality 2.75p ≤ 20 represent?

Back

It represents the maximum number of packs of colored pencils (p) that Taylor can buy without exceeding her budget of $20.

Front

What does it mean for y to vary inversely with x?

Back

It means that as x increases, y decreases, and vice versa, typically represented by the equation y = k/x for some constant k.

Front

How do you simplify the expression (a^3 - 2a^2) - (3a^2 - 4a^3)?

Back

Combine like terms to get 5a^3 - 5a^2.

Front

Translate '57 more than 3 times Kate's score' into an algebraic expression using g for Kate's score.

Back

The expression is 3g + 57.

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of elements (x, y) where the order matters; the first element is the x-coordinate and the second is the y-coordinate.

Front

What is the purpose of using inequalities in algebra?

Back

Inequalities are used to express a range of possible values rather than a single value, often representing constraints in real-world problems.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does it mean for two variables to be directly proportional?

Back

Two variables are directly proportional if they increase or decrease together, represented by the equation y = kx for some constant k.

Front

How do you solve for p in the inequality 2.75p ≤ 20?

Back

Divide both sides by 2.75 to find p ≤ 7.27, meaning Taylor can buy a maximum of 7 packs.