ATI TEAS 7 Mathematics &
Quantitative Reasoning Prep

On-Screen Calculator Functionality

You are provided an embedded 4-function calculator within the digital testing screen. It features standard operations: Addition (+), Subtraction (-), Multiplication ($\times$), Division ($\div$), and Square Root ($\sqrt{x}$).

Pro Tip: Do not rely on the calculator for every simple computation. Using mental math for basic multiplication and addition saves valuable seconds for complex multi-step word problems.

Item Types & Format

While the majority of math items are standard multiple-choice (4 options), the TEAS 7 includes Next-Gen format items such as Fill-in-the-Blank (where you must type numerical answers rounded to a specific decimal place), Hot Spot (selecting coordinates on a graph), and Drag-and-Drop ordering tasks.

Rational Numbers

• Adding/Subtracting Fractions: Find a common denominator before combining numerators.
• Multiplying Fractions: Multiply straight across (numerator $\times$ numerator, denominator $\times$ denominator).
• Dividing Fractions: "Keep, Change, Flip" (multiply by the reciprocal of the second fraction).
• Simplifying: Always reduce fractions to lowest terms.

Proportional Logic

• Percent Formula: $\text{Percent} = \frac{\text{Part}}{\text{Whole}} \times 100$.
• Percent Change: $\frac{|\text{New Value} - \text{Old Value}|}{\text{Old Value}} \times 100$.
• Ratios: Express relations between quantities ($A:B$ or $\frac{A}{B}$).
• Proportions: Cross-multiply to solve for unknown variables ($\frac{a}{b} = \frac{c}{x} \implies a \cdot x = b \cdot c$).

Equations & Inequalities

• Order of Operations: Follow PEMDAS (Parentheses, Exponents, Multiplication/Division left-to-right, Addition/Subtraction left-to-right).
• Solving for X: Perform inverse operations to isolate the variable on one side.
• Inequalities: Remember to flip the inequality sign when multiplying or dividing both sides by a negative number.

Measures of Central Tendency

• Mean: The numerical average. Sum all values and divide by the total count of numbers.
• Median: The middle value when numbers are arranged in ascending order. (If the set has an even number of values, average the two middle numbers).
• Mode: The number that appears most frequently in a dataset.
• Range: The difference between the highest value and the lowest value ($\text{Maximum} - \text{Minimum}$).

Geometric Formulas to Memorize

• Perimeter: Sum of all outer sides of a polygon.
• Area of Rectangle: $A = \text{length} \times \text{width}$.
• Area of Triangle: $A = \frac{1}{2} \times \text{base} \times \text{height}$.
• Area of Circle: $A = \pi r^2$ (where $r$ is the radius).
• Circumference of Circle: $C = 2\pi r$ or $C = \pi d$.
• Volume of Rectangular Prism: $V = \text{length} \times \text{width} \times \text{height}$.