# Seventh grade

Here is a list of all of the skills students learn in seventh grade! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Number theory

## Decimal numbers

## Operations with decimals

- C.1Add and subtract decimals
- C.2Add and subtract decimals: word problems
- C.3Multiply decimals
- C.4Multiply decimals and whole numbers: word problems
- C.5Divide decimals
- C.6Divide decimals by whole numbers: word problems
- C.7Estimate sums, differences, and products of decimals
- C.8Add, subtract, multiply, and divide decimals: word problems
- C.9Multi-step inequalities with decimals
- C.10Maps with decimal distances
- C.11Simplify expressions involving decimals

## Integers

## Operations with integers

- E.1Integer addition and subtraction rules
- E.2Add and subtract integers using counters
- E.3Add and subtract integers
- E.4Complete addition and subtraction sentences with integers
- E.5Add and subtract integers: word problems
- E.6Integer multiplication and division rules
- E.7Multiply and divide integers
- E.8Complete multiplication and division sentences with integers
- E.9Simplify expressions involving integers

## Fractions and mixed numbers

- F.1Equivalent fractions
- F.2Simplify fractions
- F.3Understanding fractions: word problems
- F.4Least common denominator
- F.5Compare and order fractions
- F.6Compare fractions: word problems
- F.7Convert between mixed numbers and improper fractions
- F.8Compare mixed numbers and improper fractions
- F.9Round mixed numbers

## Operations with fractions

- G.1Add and subtract fractions
- G.2Add and subtract fractions: word problems
- G.3Add and subtract mixed numbers
- G.4Add and subtract mixed numbers: word problems
- G.5Inequalities with addition and subtraction of fractions and mixed numbers
- G.6Estimate sums and differences of mixed numbers
- G.7Multiply fractions and whole numbers
- G.8Multiply two fractions using models
- G.9Multiply fractions
- G.10Multiply mixed numbers
- G.11Multiply fractions and mixed numbers: word problems
- G.12Divide fractions
- G.13Divide mixed numbers
- G.14Divide fractions and mixed numbers: word problems
- G.15Estimate products and quotients of fractions and mixed numbers
- G.16Add, subtract, multiply, and divide fractions and mixed numbers: word problems
- G.17Maps with fractional distances

## Rational numbers

- H.1Identify rational numbers
- H.2Convert between decimals and fractions or mixed numbers
- H.3Absolute value of rational numbers
- H.4Compare rational numbers
- H.5Put rational numbers in order
- H.6Add and subtract rational numbers
- H.7Apply addition and subtraction rules
- H.8Multiply and divide rational numbers
- H.9Apply multiplication and division rules

## Exponents and square roots

- I.1Understanding exponents
- I.2Evaluate exponents
- I.3Exponents: solve for the variable
- I.4Exponents with negative bases
- I.5Exponents with decimal and fractional bases
- I.6Understanding negative exponents
- I.7Evaluate negative exponents
- I.8Simplify expressions involving exponents
- I.9Square roots of perfect squares
- I.10Estimate square roots

## Ratios and proportions

- J.1Understanding ratios
- J.2Equivalent ratios
- J.3Equivalent ratios: word problems
- J.4Compare ratios: word problems
- J.5Unit rates
- J.6Do the ratios form a proportion?
- J.7Do the ratios form a proportion: word problems
- J.8Solve proportions
- J.9Solve proportions: word problems
- J.10Estimate population size using proportions
- J.11Rate of change
- J.12Constant rate of change
- J.13Scale drawings and scale factors

## Percents

- K.1What percentage is illustrated?
- K.2Convert between percents, fractions, and decimals
- K.3Compare percents to fractions and decimals
- K.4Estimate percents of numbers
- K.5Percents of numbers and money amounts
- K.6Percents of numbers: word problems
- K.7Solve percent equations
- K.8Solve percent equations: word problems
- K.9Percent of change
- K.10Percent of change: word problems

## Consumer math

- L.1Add, subtract, multiply, and divide money amounts: word problems
- L.2Price lists
- L.3Unit prices
- L.4Unit prices with unit conversions
- L.5Unit prices: find the total price
- L.6Percent of a number: tax, discount, and more
- L.7Find the percent: tax, discount, and more
- L.8Sale prices: find the original price
- L.9Multi-step problems with percents
- L.10Estimate tips
- L.11Simple interest
- L.12Compound interest

## Problem solving and estimation

## Measurement

## Data and graphs

- O.1Interpret tables
- O.2Interpret line plots
- O.3Create line plots
- O.4Create and interpret line plots with fractions
- O.5Interpret stem-and-leaf plots
- O.6Interpret bar graphs
- O.7Create bar graphs
- O.8Interpret histograms
- O.9Create histograms
- O.10Create frequency charts
- O.11Interpret circle graphs
- O.12Circle graphs and central angles
- O.13Interpret line graphs
- O.14Create line graphs
- O.15Interpret box-and-whisker plots
- O.16Scatter plots
- O.17Choose the best type of graph

## Geometry

- P.1Lines, line segments, and rays
- P.2Parallel, perpendicular, intersecting
- P.3Name, measure, and classify angles
- P.4Identify complementary, supplementary, vertical, adjacent, and congruent angles
- P.5Find measures of complementary, supplementary, vertical, and adjacent angles
- P.6Transversal of parallel lines
- P.7Classify triangles
- P.8Classify quadrilaterals
- P.9Find missing angles in triangles and quadrilaterals
- P.10Identify and classify polygons
- P.11Interior angles of polygons
- P.12Similar and congruent figures
- P.13Similar figures: side lengths and angle measures
- P.14Similar figures and indirect measurement
- P.15Congruent figures: side lengths and angle measures
- P.16Congruence statements and corresponding parts
- P.17Perimeter
- P.18Area of rectangles and parallelograms
- P.19Area of triangles and trapezoids
- P.20Area and perimeter: word problems
- P.21Parts of a circle
- P.22Circles: calculate area, circumference, radius, and diameter
- P.23Circles: word problems
- P.24Find lengths and measures of bisected lines and angles
- P.25Front, side, and top view
- P.26Names and bases of 3-dimensional figures
- P.27Nets of 3-dimensional figures
- P.28Surface area
- P.29Volume
- P.30Perimeter, area, and volume: changes in scale
- P.31Semicircles: calculate area, perimeter, radius, and diameter
- P.32Quarter circles: calculate area, perimeter, and radius
- P.33Area of compound figures with triangles, semicircles, and quarter circles
- P.34Area between two shapes

## Transformations

## Pythagorean theorem

## Coordinate graphs

## Number sequences

## Variable expressions

## Single-variable equations

## Inequalities

## Linear functions

- X.1Identify proportional relationships
- X.2Find the constant of variation
- X.3Does (x, y) satisfy the equation?
- X.4Evaluate a function
- X.5Complete a function table
- X.6Write a rule for a function table
- X.7Find points on a function graph
- X.8Graph a line from a function table
- X.9Graph a line from an equation
- X.10Linear function word problems
- X.11Find the slope of a graph
- X.12Find slope from two points
- X.13Find a missing coordinate using slope
- X.14Find slope from an equation
- X.15Graph a line using slope
- X.16Identify linear and nonlinear functions

## Properties

## Probability

- Z.1Probability of simple events
- Z.2Probability of opposite, mutually exclusive, and overlapping events
- Z.3Experimental probability
- Z.4Make predictions
- Z.5Compound events: find the number of outcomes
- Z.6Identify independent and dependent events
- Z.7Probability of independent and dependent events
- Z.8Factorials
- Z.9Permutations
- Z.10Counting principle
- Z.11Combination and permutation notation