1. Modeling with Linear Equations & Inequalities

1.01 Units resulting from a formula or graph

Investigation: How many planets are there in the universe?

1.02 Significant figures and accuracy in measurement

1.03 Review: Solving one- and two- step equations

Investigation: Calendar equations

1.04 Properties of equality

1.05 Solving multi-step equations

1.06 Literal equations and formulas

Investigation: Spreadsheets and substitution

1.07 Review: Solving one-step inequalities

1.08 Properties of inequality

1.09 Solving multi-step inequalities

1.10 Solving compound inequalities

1.11 Review: The real number system

1.12 Properties of real numbers

1.13 Identifying and evaluating algebraic expressions

1.14 Simplifying algebraic expressions

1.15 Translating situations into algebraic expressions

1.16 Practical problems with equations

1.17 Review: Graphing linear relationships from a table of values

1.18 Characteristics from a graph

1.19 Scatter plots and lines of fit

Investigation: Finding the line of best fit using technology

1.20 Linear regressions and residual plots

1.22 Correlation and causation

1.23 Graphical solutions to linear equations or inequalities

United States of America NJ

Algebra 1

1.04 Properties of equality

Interactive practice questions

Beginning with the equation $x=9$x=9, write the new equation produced by adding $1$1 to both sides.

Easy

1min

Beginning with the equation $x=14$x=14, write the new equation produced by subtracting $7$7 from both sides.

Easy

< 1min

Beginning with the equation $x=10$x=10, write the new equation produced by multiplying both sides by $5$5.

Easy

< 1min

Beginning with the equation $x=99$x=99, write the new equation produced by dividing both sides by $11$11.

Easy

< 1min

Outcomes

A.REI.A.1

Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

A.REI.B.3

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

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