HSPT Quantitative

A comprehensive exploration of quantitative reasoning skills tested on the HSPT, including problem-solving, number concepts, and data analysis.

Number Concepts and OperationsProblem Solving and PatternsData Analysis and Interpretation
Algebraic ThinkingGeometry BasicsLogical Reasoning and Word Problems
Using Math in ShoppingPlanning Events and SchedulesMath in Sports and Games
Time Management on the HSPTElimination and Estimation Tactics
Number Concepts and ...Problem Solving and ...Data Analysis and In...Algebraic ThinkingGeometry BasicsLogical Reasoning an...Using Math in Shoppi...Planning Events and ...Math in Sports and G...Time Management on t...Elimination and Esti...
Advanced Topics

Algebraic Thinking

Unlocking the Power of Variables

Algebra is like a puzzle where letters stand in for numbers. It helps you generalize patterns and solve equations with unknowns.

Expressions and Equations

  • Expressions: Combinations of numbers, variables, and operations (\(3x + 4\)).
  • Equations: Statements that two expressions are equal (\(2x + 5 = 11\)).

Solving for Unknowns

Find the value of a variable that makes an equation true. Use inverse operations to isolate the variable.

Why It Matters

Algebra is everywhere: calculating discounts, planning budgets, or predicting outcomes.

Key Formula

\[x = \frac{b - c}{a}\]

Examples

  • If \(2x + 3 = 11\), what is \(x\)?

  • Write an expression for the total cost if each ticket costs \(t\) dollars and you buy 4.

In a Nutshell

Algebra helps you solve for unknowns and make generalizations.

Key Terms

Variable
A symbol, usually a letter, that represents a number.
Equation
A mathematical statement that two expressions are equal.
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Geometry Basics