TEAS Mathematics Comprehensive Review

Flashcards cover key TEAS math topics: number forms and conversions, percentages, order of operations, rational numbers, equations, proportions, rates, statistics, graph interpretation, geometry, and unit conversions.

In a fraction, what does the numerator represent?

The part of the whole; the number of selected parts out of the total.

How do you convert a fraction to a decimal?

Divide the numerator by the denominator.

What is the first step to convert a fraction to a percentage?

Convert the fraction to a decimal, then multiply by 100.

What does the denominator of a fraction represent?

The total number of equal parts in the whole.

Define percentage in one phrase.

‘Per 100’ — a portion out of 100.

How do you calculate a percentage of a quantity?

(Part ÷ Whole) × 100.

Write 3⁄8 as a decimal.

0.375

Write 0.375 as a percentage.

37.5 %

Convert 0.48 to a fraction in simplest form.

48⁄100 = 12⁄25

Identify the place value of the digit 6 in 0.0065.

Thousandths place

What is the decimal equivalent of 76.8 %?

0.768

Describe PEMDAS.

Order of operations: Parentheses, Exponents, Multiplication & Division (left to right), Addition & Subtraction (left to right).

Evaluate 3 + 5 × 9 using PEMDAS.

48

Which is performed first: exponents or multiplication?

Exponents

Solve 5 + 7 × (3 + 9) ÷ 6 – 3².

10

What is a mixed number?

A number consisting of an integer and a fraction.

State the rule when comparing two decimals.

Line up place values; compare from leftmost non-matching digit.

Which inequality symbol means ‘greater than’?

>

Is −3 greater or less than −1?

Less than; it lies further left on the number line.

Define a rational number.

A number that can be expressed as a fraction of two integers with non-zero denominator.

Convert 0.6 % to a simplified fraction.

3⁄500

What does ‘inverse operation’ mean?

An operation that undoes another (e.g., addition ↔ subtraction, multiplication ↔ division).

Solve for x: x + 35 = 74.

x = 39

State the constant of proportionality in y = 7x.

7

Explain cross-multiplication for a⁄b = c⁄d.

Set a·d equal to b·c, then solve for the unknown.

Find x: 5⁄6 = x⁄18.

x = 15

Give an everyday example of a unit rate.

Miles per hour, dollars per pound, etc.

Convert the rate 12.8 fl oz oil per 5 gal gas to a unit rate (fl oz per gal).

≈ 2.6 fl oz per gallon

What is the slope formula between (x₁,y₁) and (x₂,y₂)?

(y₂ − y₁) ÷ (x₂ − x₁)

Define mean.

Arithmetic average: sum of values divided by number of values.

How is median found in an even-sized data set?

Average the two middle numbers after ordering.

What is mode?

Most frequently occurring value(s) in a data set.

Compute the range of 3, 3, 7, 8, 14.

14 − 3 = 11

What does a high standard deviation indicate?

Data are spread far from the mean.

Describe a bell-shaped distribution.

Symmetric, unimodal, highest frequency in the center (normal).

What is an outlier?

A value far removed from other observations.

Probability formula for an event.

P(event) = desired outcomes ÷ total outcomes

If a student scored in the 90s on 8 of 12 tests, what is P(90s)?

8⁄12 = 0.667 = 66.7 %

Differentiate independent and dependent variables.

Independent is manipulated/input (x-axis); dependent responds/output (y-axis).

Positive vs. negative correlation?

Positive: variables move in same direction; Negative: one increases while the other decreases.

State the direct variation equation.

y = kx

Give the inverse variation equation.

y = k⁄x

Perimeter definition.

Total distance around a 2-D shape.

Formula for circumference of a circle.

C = 2πr or C = πD

Area of a trapezoid formula.

A = ½ h (b₁ + b₂)

Volume formula for a cylinder.

V = πr²h

Convert 1 kg to pounds.

≈ 2.2 lb

How many milliliters in 1 L?

1 000 mL

State the metric prefix meaning one-thousandth.

Milli-

Convert 14 lb to kilograms.

≈ 6.4 kg

How many centimeters are in an inch?

2.54 cm

Rounding rule for 5 or greater.

Round the target digit up by 1.

Front-end estimation focuses on which digits?

The leading (leftmost) digits.

1 cc equals how many milliliters?

1 mL

Solve: 873.5 × 4.72 ÷ 59.6 ≈ ? (round to nearest whole)

≈ 69

What is dimensional analysis?

Systematic multiplication by conversion factors to switch units.