Number and Algebra
12%of exam
Measurement and Data
11%of exam
Format, Calculator, Pacing
Not publishedof exam
Quick Facts
- Exam
- ATI TEAS 7 Math
- Questions
- 38 total, 34 scored
- Time
- 57 minutes
- Pace
- About 1.5 min each
- Calculator
- Four-function, provided
- Section share
- 23% of TEAS
- Number & Algebra
- 18 scored items
- Measurement & Data
- 16 scored items
- Item types
- Five question formats
- Break
- 10 minutes after math
- Pass mark
- Set by program
PEMDAS
Parentheses exponents multiply divide add subtract
Multiply/divide tieAdd/subtract tieWork left to rightParentheses always first
Ratio vs Proportion
Ratio
- Compares two amounts
- One relationship
Proportion
- Two equal ratios
- Solve for unknown
Compare vs solve
Problem Picker
- Part of whole→Percent proportion(part/whole = percent/100)
- Two equal ratios→Cross multiply
- Unknown value asked→Solve equation(Isolate variable)
- Range of values→Inequality(Negative divide flips)
- Comparing package prices→Unit rate
- Before and after→Percent change(Divide by original)
- Answers far apart→Estimate(Round to friendly numbers)
- Mixed number types→Convert to decimals(Then compare)
- Multi-step word problem→List givens first(Reread the question)
Fractions, Decimals, Percents
- Fraction to decimal
- Numerator divided by denominator
- Decimal to percent
- Move decimal two right
- Percent to decimal
- Move decimal two left
- 1/8
- 0.125 = 12.5%
- 1/4
- 0.25 = 25%
- 1/3
- 0.333... = 33.3%
- 1/2
- 0.5 = 50%
- 2/3
- 0.666... = 66.7%
- 3/4
- 0.75 = 75%
- Mixed number
- Whole plus proper fraction
- Improper fraction
- Numerator exceeds denominator
Keep Change Flip
Keep first, change to times, flip
Keep first fractionChange to multiplyFlip second fraction
Percent Of vs Change
Percent of
- Multiply by whole
- Whole is given
Percent change
- Difference over original
- Original is denominator
Amount vs difference
Operations + Order
- PEMDAS
- Order of operationsLeft to right
- Multiply and divide
- Equal rank, left first
- Add and subtract
- Equal rank, left first
- Add fractions
- Common denominator first
- Multiply fractions
- Numerators and denominators
- Divide fractions
- Multiply by reciprocal
- Reciprocal
- Flipped fraction
- Negative times negative
- Positive product
- Absolute value
- Distance from zero
- Exponent
- Repeated multiplication
Percent Proportion
Is over of equals percent over 100
Is: the partOf: the wholePercent over 100Cross multiply to solve
Direct vs Inverse
Direct
- Both rise together
- Quotient stays constant
Inverse
- One rises, other falls
- Product stays constant
Together vs opposite
Algebra Core
- Variable
- Unknown value
- Expression
- No equals sign
- Equation
- Two equal expressions
- Inequality
- Uses < or >
- Like terms
- Same variable and power
- Distribute
- a(b+c) = ab+ac
- Isolate variable
- Inverse operations both sides
- Check answer
- Substitute into original equation
- Substituting negatives
- Wrap value in parentheses
- Solution set
- Values making statement true
Percent Toolkit
- Percent proportion
- part/whole = percent/100
- Percent of
- Multiply decimal by whole
- Percent change
- Change divided by original
- Percent increase
- New exceeds original
- Percent decrease
- New below original
- Discount price
- Original minus discount amount
- Sales tax
- Original times tax rate
- Successive percents
- Apply to running total
- Percent to fraction
- Over 100, then reduce
Ratios, Rates, Proportions
- Ratio
- Compares two quantities
- Part-to-part
- Group compared to group
- Part-to-whole
- Group over total parts
- Proportion
- Two equal ratios
- Cross multiply
- Solves the proportion
- Unit rate
- Amount per one unit
- Scale factor
- Similar figure multiplier
- Direct variation
- Both rise together
- Inverse variation
- One rises, other falls
- Rate of change
- Output change over input
Word Problem Signals
- Sum, increased by
- Add
- Difference, decreased by
- Subtract
- Product, of, times
- Multiply
- Quotient, per
- Divide
- Is, equals, yields
- Equals sign
- Less than
- Subtract in reverse order
- Each, every
- Rate or multiply
- Total, altogether
- Add all parts
- Remaining, left
- Subtract from total
- Approximately
- Estimate is enough
Metric Ladder
King Henry died drinking chocolate milk
kilohectodekabase unitdecicentimilli
Mean vs Median
Mean
- Add then divide
- Outliers pull it
Median
- Order then middle
- Outliers barely move it
Average vs middle
Conversion Picker
- Metric to metric→Move the decimal(Powers of ten)
- Crossing systems→Factor-label method(Cancel units)
- Inches and centimeters→2.54 per inch
- Kilograms to pounds→About 2.2 pounds
- Converting square units→Square the factor
- Converting cubic units→Cube the factor
- Units differ mid-problem→Convert before combining
- Temperature given→F and C formulas
Formulas To Memorize
- Distance
- d = rtATI list
- Rectangle area
- A = lw
- Square perimeter
- P = 4s
- Triangle area
- A = 1/2 bh
- Circle circumference
- C = 2 pi r
- Circle area
- A = pi r^2
- Prism volume
- V = lwh
- Cylinder volume
- V = pi r^2 h
- Pythagorean
- a^2 + b^2 = c^2
- Line equation
- y = mx + b
- Quadratic form
- ax^2 + bx + c = 0
- Simple interest
- I = Prt
Cancel The Units
Wanted unit on top, unwanted cancels
Write conversion as fractionUnwanted unit on bottomWanted unit on topFlip if units remain
Area vs Perimeter
Area
- Surface covered
- Square units
Perimeter
- Distance around
- Plain units
Inside vs around
Data Picker
- Center asked→Mean, median, or mode
- Outliers present→Median(Resists extremes)
- Spread asked→Range or deviation
- Category counts→Bar graph
- Interval frequencies→Histogram
- Share of whole→Circle chart
- Relationship of pairs→Scatterplot(Check direction)
- Missing table cell→Subtract from totals
- Shape quantity asked→Geometry formula(Identify base first)
Statistics Basics
- Mean
- Sum divided by count
- Median
- Middle of ordered list
- Mode
- Most frequent value
- Range
- Maximum minus minimum
- Outlier
- Far from other values
- Standard deviation
- Typical distance from mean
- Even count median
- Average two middle values
- Probability
- Favorable over total outcomes
Bar Graph vs Histogram
Bar graph
- Separate categories
- Bars have gaps
Histogram
- Numeric intervals
- Bars touch
Categories vs intervals
Graphs and Charts
- Bar graph
- Separate categories, gaps
- Histogram
- Numeric intervals, bars touch
- Line graph
- Change across ordered variable
- Scatterplot
- Paired values, no order
- Circle chart
- Shares of one whole
- Two-way table
- Rows, columns, totals agree
- x-axis
- Independent variable
- y-axis
- Dependent variable
- Axis label
- Read the units first
- Trend
- Overall direction shown
Correlation vs Causation
Correlation
- Variables move together
- Association only
Causation
- One produces the other
- Needs controlled design
Pattern vs proof
Metric Units
- kilo-
- 1,000 base units
- hecto-
- 100 base units
- deka-
- 10 base units
- deci-
- 0.1 base unit
- centi-
- 0.01 base unit
- milli-
- 0.001 base unit
- Metric step
- Each rung times ten
- 1 mL
- One cubic centimeter
- 1 kg
- 1,000 grams
- 1 L
- 1,000 milliliters
Radius vs Diameter
Radius
- Center to edge
- Used in formulas
Diameter
- Edge to edge
- Twice the radius
Halve before squaring
US Customary Conversions
- 1 foot
- 12 inches
- 1 yard
- 3 feet
- 1 mile
- 5,280 feet
- 1 pound
- 16 ounces
- 1 ton
- 2,000 pounds
- 1 cup
- 8 fluid ounces
- 1 pint
- 2 cups
- 1 quart
- 2 pints
- 1 gallon
- 4 quarts
Metric to Customary Bridges
- 1 inch
- 2.54 centimeters exactly
- 1 kilogram
- About 2.2 pounds
- 1 liter
- About 1.06 quarts
- 1 mile
- About 1.61 kilometers
- F to C
- Subtract 32, times 5/9
- C to F
- Times 9/5, add 32
- Factor-label method
- Cancel the unwanted units
- Square unit conversion
- Square the linear factor
- Cubic unit conversion
- Cube the linear factor
Select vs Choice
Multiple select
- Several correct options
- Check every choice
Multiple choice
- Exactly one correct
- Pick the best
All correct vs one
Pacing Picker
- One question stalls you→Flag and move on
- Time running low→Answer every item
- Numeric fill-in→Match requested form(No extra digits)
- Multiple select→Check every option
- Section finished early→Review flagged items(Before closing section)
- Section already closed→Move forward(No return allowed)
Item Formats
- Multiple choice
- One correct option
- Multiple select
- Choose all correct
- Fill-in-the-blank
- Type a numberNumeric
- Hot spot
- Click the correct area
- Ordered response
- Arrange into sequence
- Flag question
- Mark for later review
- Within-section moves
- Go back and forth
Section Logistics
- Section order
- Reading, math, science, English
- Math position
- Second section
- Section timer
- Each section timed separately
- Closed section
- No return once closed
- Calculator
- Four-function, provided
- Personal calculator
- Not allowed
- Scratch paper
- Provided at test site
- Retake wait
- 14 days at ATI
- Section retake
- Not offered separately
- Score validity
- Typically two years
- Passing score
- Set by each program
Common Traps
Percent change base
Divide by original ≠ Not the new value
Inequality direction
Negative divide flips ≠ Adding never flips
Center measures
Mean follows outliers ≠ Median resists outliers
Radius not diameter
Area squares radius ≠ Diameter is doubled
Squared unit factors
Length factor 12 ≠ Area factor 144
Data claims
Correlation shows association ≠ Causation needs design
Calculator limits
Four functions only ≠ No scientific keys
Adding fractions
Add numerators only ≠ Never add denominators
Answer selected
Intermediate value tempts ≠ Question wants final
Graph axis scale
Read axis units ≠ Thousands change answers
Last Minute
- 1.Math: 38 questions, 57 minutes
- 2.34 scored, 4 unscored pretest
- 3.Number and Algebra: 18 items
- 4.Measurement and Data: 16 items
- 5.Calculator is four-function only
- 6.Percent change divides by original
- 7.Dividing by negative flips inequality
- 8.Median resists outliers; mean follows
- 9.Circle area uses radius squared
- 10.Convert units before combining values
- 11.One inch equals 2.54 centimeters
- 12.Bars that touch mean histogram
- 13.Program sets the passing score
- 14.Answer every question before submitting
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