SSAT Upper Level Quantitative

A comprehensive course designed to help students excel in the quantitative section of the SSAT Upper Level exam.

Numbers and OperationsAlgebraic Expressions and EquationsGeometry: Shapes and Measurement
Advanced Algebra: Inequalities and SystemsData Analysis and ProbabilityWord Problems and Mathematical Reasoning
Budgeting and Money MathMeasuring and BuildingUnderstanding Sports Stats
Time Management on the TestElimination and EstimationChecking Your Work
Numbers and Operatio...Algebraic Expression...Geometry: Shapes and...Advanced Algebra: In...Data Analysis and Pr...Word Problems and Ma...Budgeting and Money ...Measuring and Buildi...Understanding Sports...Time Management on t...Elimination and Esti...Checking Your Work
Advanced Topics

Advanced Algebra: Inequalities and Systems

Inequalities

Inequalities are like equations, but instead of an equal sign, they use \( <, >, \leq, \geq \) to show relationships.

  • Example: \( x + 3 > 7 \) means any \( x \) greater than 4 is a solution.

Systems of Equations

Sometimes, you need to solve more than one equation at the same time. This is called a system of equations.

  • Example: \[ \begin{align*} x + y &= 10 \ x - y &= 2 \end{align*} \] Solving this system helps you find the values of both \( x \) and \( y \).

Applications

These topics are used in economics, science, and decision-making situations.

Key Formula

\[x > 4\]

Examples

  • Solving \( 2x - 1 \leq 7 \) to find possible values for \( x \).

  • Finding the price of two items when you know their total and their difference.

In a Nutshell

Inequalities and systems help you compare values and solve multi-step problems.

Key Terms

Inequality
A mathematical sentence that shows the relationship between quantities that are not equal.
System of Equations
A set of equations with the same variables.
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Data Analysis and Probability