1. The document discusses properties of real numbers, including the commutative, associative, identity, inverse, and distributive properties. It provides examples of applying each property.
2. Students are asked to identify properties in equations, solve shopping math word problems using properties of addition, and simplify expressions using properties of multiplication and addition while justifying each step.
3. The key lesson objectives are to identify properties of numbers and use deductive reasoning. Students practice applying properties to equations, word problems, and algebraic expressions.
1. The document is a math practice worksheet that contains 30 problems involving properties of numbers and equations. The problems ask students to identify properties like commutativity, associativity, and distributivity illustrated by equations, as well as multi-step word problems involving calculating total costs.
This document contains practice problems involving regular polygons and their interior, exterior, and supplementary angles. It asks students to find missing angle measures, identify angles and polygons, and determine the number of sides of regular polygons based on given angle measures. The problems cover topics like the polygon angle sum theorems, interior and exterior angles of regular polygons, and relationships between angle measures and the number of sides.
The document contains 50 multi-step math word problems involving equations. Students are asked to write and solve equations to model various real-world situations involving things like ticket sales, pool table dimensions, vacation spending, weights of people, and cell phone bills.
1) The document is a review for a quarter 1 algebra benchmark that contains 20 problems involving: writing algebraic expressions, simplifying expressions, evaluating expressions for given values, solving equations, and finding an unknown value given the perimeter of a shape.
2) The problems cover a wide range of algebra 1 topics like writing expressions, simplifying, evaluating, solving linear equations, and geometry word problems.
3) Answering the problems would help to prepare for a quarter 1 algebra benchmark exam focusing on foundational algebra 1 skills.
1. The document discusses properties of real numbers, including the commutative, associative, identity, inverse, and distributive properties. It provides examples of applying each property.
2. Students are asked to identify properties in equations, solve shopping math word problems using properties of addition, and simplify expressions using properties of multiplication and addition while justifying each step.
3. The key lesson objectives are to identify properties of numbers and use deductive reasoning. Students practice applying properties to equations, word problems, and algebraic expressions.
1. The document is a math practice worksheet that contains 30 problems involving properties of numbers and equations. The problems ask students to identify properties like commutativity, associativity, and distributivity illustrated by equations, as well as multi-step word problems involving calculating total costs.
This document contains practice problems involving regular polygons and their interior, exterior, and supplementary angles. It asks students to find missing angle measures, identify angles and polygons, and determine the number of sides of regular polygons based on given angle measures. The problems cover topics like the polygon angle sum theorems, interior and exterior angles of regular polygons, and relationships between angle measures and the number of sides.
The document contains 50 multi-step math word problems involving equations. Students are asked to write and solve equations to model various real-world situations involving things like ticket sales, pool table dimensions, vacation spending, weights of people, and cell phone bills.
1) The document is a review for a quarter 1 algebra benchmark that contains 20 problems involving: writing algebraic expressions, simplifying expressions, evaluating expressions for given values, solving equations, and finding an unknown value given the perimeter of a shape.
2) The problems cover a wide range of algebra 1 topics like writing expressions, simplifying, evaluating, solving linear equations, and geometry word problems.
3) Answering the problems would help to prepare for a quarter 1 algebra benchmark exam focusing on foundational algebra 1 skills.
This document provides instructions for students to draw and label the vertices of two congruent triangles, using a protractor and ruler. Students are asked to write a congruence statement for each problem they solve. The document references congruent triangles but does not provide any specific triangle examples or properties.
The document provides a worksheet with math word problems involving ratios, unit rates, proportions, and conversions. It includes tables with data on students' reading preferences, candy bar prices and quantities, and asks the learner to calculate proportions, ratios, unit prices, and convert between measurement units based on the provided information.
This document contains notes and examples for a math lesson on rates. It defines rates and unit rates, and provides examples of how to calculate unit rates for situations involving time, distance, amounts, and prices. Examples include calculating the time for one revolution of a Ferris wheel, the number of security lights passed per yard walked, average speed in miles per hour, and identifying the best buy between two items based on unit price per ounce or gallon. Students are directed to complete practice problems in their workbooks and watch an online video about rates.
This document contains a practice worksheet with 39 problems involving solving equations, finding values that make equations equal, and modeling word problems with equations. The problems range from simple one-step equations to multi-step equations with variables on both sides.
1. This document provides examples and explanations for recognizing congruent figures based on corresponding parts. It defines congruent polygons as figures with matching sides and angles.
2. An example shows how to list corresponding parts of congruent triangles ABC and QJT, including matching angles and sides. It also uses congruency to solve for the measure of an angle given corresponding angles of congruent triangles.
3. Another example explains how to determine if two triangles are congruent by showing their corresponding sides and angles are congruent based on a given diagram.
The document provides examples of solving word problems involving inequalities related to profits and costs. It demonstrates setting up inequalities to represent the minimum number of items that must be sold at a given price to earn a profit that exceeds costs. The examples calculate profits using variables to represent the number of items sold and solve the inequalities to determine the minimum number of items that must be sold.
This document contains practice problems asking students to find the lateral area and surface area of cones and pyramids. There are 12 problems total broken into 4 sections - finding the lateral area of cones, surface area of cones in terms of pi, lateral area of pyramids, and surface area of pyramids. Students are asked to show their work and provide answers to the nearest specified value.
This math worksheet asks students to find the lateral and surface areas of various prisms and cylinders. For problems 1-6, students are asked to find the lateral area of cylinders to the nearest tenth. Problems 7-12 ask students to find both the lateral and surface areas of different prisms, rounding answers to the nearest whole number. The final problems 13-15 require finding the surface area of cylinders in terms of pi.
This document contains 30 problems involving multiplication of exponential terms. Each problem contains terms with exponents that need to be combined using the properties of exponents, such as (ab)n = anbn and (a/b)n = an/bn. The goal is to simplify each exponential expression into a single term.
1. This document contains a practice worksheet with 72 problems involving operations with zero and negative exponents. The problems include simplifying expressions, evaluating expressions for given values of variables, writing numbers as powers of 10 with negative exponents, writing expressions as decimals, and evaluating expressions with multiple variables.
This document contains a practice worksheet with 72 math problems involving operations with zero and negative exponents, simplifying expressions, and evaluating expressions for given values of variables. The problems cover simplifying expressions, writing numbers as powers of 10 using negative exponents, converting expressions to decimals, and evaluating expressions when given specific values for variables.
7.6 systems of inequalities word problemsMsKendall
This document contains 10 multi-part math word problems involving systems of inequalities. The problems ask students to determine possible dimensions of a habitat given area constraints, possible scores in a basketball game given point constraints, possible work hour combinations at two jobs given earnings and time constraints, possible food item quantities given spending constraints, possible fundraising quantities given earnings constraints, and possible clothing item quantities given spending constraints. Students are asked to provide three possible solutions or combinations for each problem.
7.6 solving systems of inequalities hw (mixed forms)MsKendall
The document contains instructions to graph 9 systems of inequalities involving two variables, x and y. The systems include linear inequalities like y > 2x + 1 and nonlinear inequalities like 3x + 5y < 10. The goal is to sketch the regions defined by each system of inequalities on a standard x-y coordinate plane.
7.6 solving systems of inequalities cw (mixed forms)MsKendall
This document contains instructions for graphing systems of inequalities on a coordinate plane. It lists 8 systems of inequalities and provides blank coordinate planes for graphing the solution sets of each system. The systems involve various combinations of linear inequalities in the variables x and y. The task is to graph the region defined by satisfying all the inequalities in each system on the corresponding coordinate plane.
7.6 solving systems of inequalities hw (mixed forms)MsKendall
The document contains instructions to graph 9 systems of inequalities involving two variables, x and y. The systems include linear inequalities like y > 2x + 1 and nonlinear inequalities like 3x + 5y < 10. The goal is to sketch the regions defined by each system of inequalities on a standard x-y coordinate plane.
7.6 solving systems of inequalities cw (mixed forms)MsKendall
This document contains instructions for graphing systems of inequalities on a coordinate plane. It lists 8 systems of inequalities and provides blank coordinate planes for graphing the solution sets of each system. The systems involve various combinations of linear inequalities in the variables x and y. The task is to graph the region defined by satisfying all the inequalities in each system on the corresponding coordinate plane.
This document provides instructions for students to draw and label the vertices of two congruent triangles, using a protractor and ruler. Students are asked to write a congruence statement for each problem they solve. The document references congruent triangles but does not provide any specific triangle examples or properties.
The document provides a worksheet with math word problems involving ratios, unit rates, proportions, and conversions. It includes tables with data on students' reading preferences, candy bar prices and quantities, and asks the learner to calculate proportions, ratios, unit prices, and convert between measurement units based on the provided information.
This document contains notes and examples for a math lesson on rates. It defines rates and unit rates, and provides examples of how to calculate unit rates for situations involving time, distance, amounts, and prices. Examples include calculating the time for one revolution of a Ferris wheel, the number of security lights passed per yard walked, average speed in miles per hour, and identifying the best buy between two items based on unit price per ounce or gallon. Students are directed to complete practice problems in their workbooks and watch an online video about rates.
This document contains a practice worksheet with 39 problems involving solving equations, finding values that make equations equal, and modeling word problems with equations. The problems range from simple one-step equations to multi-step equations with variables on both sides.
1. This document provides examples and explanations for recognizing congruent figures based on corresponding parts. It defines congruent polygons as figures with matching sides and angles.
2. An example shows how to list corresponding parts of congruent triangles ABC and QJT, including matching angles and sides. It also uses congruency to solve for the measure of an angle given corresponding angles of congruent triangles.
3. Another example explains how to determine if two triangles are congruent by showing their corresponding sides and angles are congruent based on a given diagram.
The document provides examples of solving word problems involving inequalities related to profits and costs. It demonstrates setting up inequalities to represent the minimum number of items that must be sold at a given price to earn a profit that exceeds costs. The examples calculate profits using variables to represent the number of items sold and solve the inequalities to determine the minimum number of items that must be sold.
This document contains practice problems asking students to find the lateral area and surface area of cones and pyramids. There are 12 problems total broken into 4 sections - finding the lateral area of cones, surface area of cones in terms of pi, lateral area of pyramids, and surface area of pyramids. Students are asked to show their work and provide answers to the nearest specified value.
This math worksheet asks students to find the lateral and surface areas of various prisms and cylinders. For problems 1-6, students are asked to find the lateral area of cylinders to the nearest tenth. Problems 7-12 ask students to find both the lateral and surface areas of different prisms, rounding answers to the nearest whole number. The final problems 13-15 require finding the surface area of cylinders in terms of pi.
This document contains 30 problems involving multiplication of exponential terms. Each problem contains terms with exponents that need to be combined using the properties of exponents, such as (ab)n = anbn and (a/b)n = an/bn. The goal is to simplify each exponential expression into a single term.
1. This document contains a practice worksheet with 72 problems involving operations with zero and negative exponents. The problems include simplifying expressions, evaluating expressions for given values of variables, writing numbers as powers of 10 with negative exponents, writing expressions as decimals, and evaluating expressions with multiple variables.
This document contains a practice worksheet with 72 math problems involving operations with zero and negative exponents, simplifying expressions, and evaluating expressions for given values of variables. The problems cover simplifying expressions, writing numbers as powers of 10 using negative exponents, converting expressions to decimals, and evaluating expressions when given specific values for variables.
7.6 systems of inequalities word problemsMsKendall
This document contains 10 multi-part math word problems involving systems of inequalities. The problems ask students to determine possible dimensions of a habitat given area constraints, possible scores in a basketball game given point constraints, possible work hour combinations at two jobs given earnings and time constraints, possible food item quantities given spending constraints, possible fundraising quantities given earnings constraints, and possible clothing item quantities given spending constraints. Students are asked to provide three possible solutions or combinations for each problem.
7.6 solving systems of inequalities hw (mixed forms)MsKendall
The document contains instructions to graph 9 systems of inequalities involving two variables, x and y. The systems include linear inequalities like y > 2x + 1 and nonlinear inequalities like 3x + 5y < 10. The goal is to sketch the regions defined by each system of inequalities on a standard x-y coordinate plane.
7.6 solving systems of inequalities cw (mixed forms)MsKendall
This document contains instructions for graphing systems of inequalities on a coordinate plane. It lists 8 systems of inequalities and provides blank coordinate planes for graphing the solution sets of each system. The systems involve various combinations of linear inequalities in the variables x and y. The task is to graph the region defined by satisfying all the inequalities in each system on the corresponding coordinate plane.
7.6 solving systems of inequalities hw (mixed forms)MsKendall
The document contains instructions to graph 9 systems of inequalities involving two variables, x and y. The systems include linear inequalities like y > 2x + 1 and nonlinear inequalities like 3x + 5y < 10. The goal is to sketch the regions defined by each system of inequalities on a standard x-y coordinate plane.
7.6 solving systems of inequalities cw (mixed forms)MsKendall
This document contains instructions for graphing systems of inequalities on a coordinate plane. It lists 8 systems of inequalities and provides blank coordinate planes for graphing the solution sets of each system. The systems involve various combinations of linear inequalities in the variables x and y. The task is to graph the region defined by satisfying all the inequalities in each system on the corresponding coordinate plane.
This document provides practice problems involving identifying nets that fold into three-dimensional shapes like cubes and pyramids. It includes choosing the correct nets to make cubes or pyramids with square bases, matching 3D shapes to their corresponding nets, and using Euler's formula to find missing numbers for shapes specified by their faces, edges and vertices. The practice problems are accompanied by diagrams of potential nets labeled with dimensions.
The document contains a practice problem involving systems of linear inequalities. There are 21 problems where the learner is asked to write systems of inequalities to model word problems, graph the systems to visualize the solution sets, and provide possible solutions. The document focuses on representing and solving word problems using systems of linear inequalities.
This document contains a worksheet with graphing systems of inequalities problems. The worksheet asks students to determine which points are solutions to an inequality graph, solve individual inequalities, write inequality sentences for graphs, and determine if points are in the solution regions of graphs.
The document contains practice problems involving graphing linear inequalities on a number line. There are 27 problems total, asking to graph linear inequalities like y ≥ -4, x + y < -2, and 6x - 4y > -16. It also contains 3 word problems for each of which the student is asked to write a linear inequality describing the situation, graph it, and provide two possible solutions.
This document contains a math practice worksheet with 22 problems asking students to find the area of various polygons using trigonometry. The polygons include equilateral triangles, squares, regular hexagons, regular pentagons, regular octagons, and regular decagons with given apothems or radii. Some problems also ask students to find the area of unspecified triangles.
This document contains a math practice worksheet with 22 problems calculating the areas of various polygons using trigonometry. The problems involve finding the areas of equilateral triangles, squares, regular hexagons, regular pentagons, regular octagons, and regular decagons given their apothems or radii. Other problems calculate the areas of triangles. The final problems calculate the areas of regular polygons in real world contexts like dog pens, swimming pools, and patios.
The document contains 27 word problems from various categories including systems of linear equations, tickets/admissions, coins, digits, break even, wind/current. The problems provide relevant context and numerical information to solve multi-step math word problems across different domains.
The document provides a review of the three methods to solve systems of equations: graphing, substitution, and elimination. It includes examples of systems of equations to solve using each method. Checkpoint questions are provided to have the student practice solving systems of equations by graphing, substitution, and elimination.