Non-Geometry SHSAT
1. Arithmetic
● Operations: addition, subtraction, multiplication, division
● Fractions: addition, subtraction, multiplication, division, conversion
between fractions, decimals, and percentages
● Decimals: addition, subtraction, multiplication, division, conversion
between decimals, fractions, and percentages, rounding
● Percentages: calculating percentages of numbers, finding the original
value given a percentage and the new value, solving word problems
involving percentages
● Word problems: translating word problems into mathematical
expressions, solving the mathematical expressions, interpreting the
solution in the context of the problem
2. Algebra
● Equations: solving linear equations with one variable, solving systems of
linear equations with two variables, solving quadratic equations by
factoring or using the quadratic formula
● Expressions: evaluating expressions for given values of variables,
simplifying expressions by combining like terms and using the
distributive property
● Variables: understanding the concept of variables and how to
manipulate them, solving equations for a specific variable
● Functions: evaluating functions for given values of x, graphing
functions, determining the domain and range of functions
, ● Linear graphs: graphing linear equations in slope-intercept form,
finding the slope of a line passing through two points, determining the
equation of a line given its slope and y-intercept or two points on the
line
3. Data Analysis and Probability
● Mean, Median, Mode, and Range: finding the mean, median, mode, and
range of a data set, analyzing the distribution of data
● Probability: calculating the probability of an event occurring,
understanding the concept of independent and dependent events,
solving word problems involving probability
Example Problems:
Arithmetic:
● Simplify 43÷65: 109
● If a store is having a sale of 30% off, and a shirt originally costs $25,
what is the sale price? $17.50
Algebra:
● Solve the equation 4x−7=2x+3: x=5
● Factor the expression x2+6x+8: (x+2)(x+4)
● Determine the domain and range of the function f(x)=x−2
● Domain: x≥2, Range: y≥0
Data Analysis and Probability:
● Find the median of the numbers 3, 7, 1, 5, 9: 5
● Calculate the probability of drawing a heart from a standard deck of
cards: 5213=41
