Write and/or solve linear equations in one variable.
b. Write and/or solve two-step equations of the form px + q = r and p(x + q) = r, where p, q and r are rational numbers, and interpret the meaning of the solution in the context of the problem.
Create and evaluate expressions involving variables and whole number exponents.
b. Evaluate expressions at specific values of the variables.
d. Write and evaluate algebraic expressions.
The placement of a decimal has an effect on the value of a number.
Use decimal fluency to analyze errors and solve real-world situations.
Student can transfer between fractions, decimals, and percents.
Recognize equivalent forms of rational numbers.
Solve problems involving ratios and rates.
a. Create tables of equivalent ratios, find missing values in the tables and plot the pairs of values on the Cartesian coordinate plane.
b. Solve unit rate problems.
Solve linear equations and inequalities in one variable.
b. Solve linear equations and inequalities with rational number coefficients, including equations and inequalities whose solutions require expanding expressions using the distributive property and combining like terms. (guarantee limited to equations)
Investigate the difference between linear and nonlinear functions.
Interpret the equation y=mx+b as a defining a linear function, whose parameters are the slope (m) and the y-intercept (b).
Recognize that the graph of a linear function has a constant rate of change.