Add, subtract, multiply, and divide fractions with unlike denominators, mixed numbers, and decimals.

Write and solve ratios and proportions and convert fluently among fractions, decimals, and percents, including percent increase and decrease.

Divide multi-digit numbers by two-digit divisors, including decimal quotients.

Apply the order of operations to expressions with parentheses and exponents, and add, subtract, multiply, and divide positive and negative integers.

Solve one- and two-step linear equations in one variable and check the solution by substitution.

Calculate area of triangles, parallelograms, and circles; circumference of circles; and volume and surface area of rectangular prisms.

Compute mean, median, mode, and range for a data set, and construct and interpret bar graphs, line graphs, and circle graphs.

Score at or above the publisher's placement threshold for a first-year algebra course.