We've updated our
Privacy Policy effective December 15. Please read our updated Privacy Policy and tap

Study Guides > MATH 0123

Summary: Review

Key Concepts

  • The addition and multiplication properties of equality allow the same operation to be performed on both sides of an equation
  • To solve an equation containing an absolute value, first isolate the absolute value then write two equations: ∣u∣=c|u| = c and ∣u∣=−c|u| = -c
  • Use the distributive property to eliminate parentheses in equations before collecting and combining like terms.
  • Use the multiplication property of equality to eliminate fractions from equations by multiplying both sides by the LCD.
  • Eliminate decimals from an equation by multiplying both sides by a sufficient factor of 10.
  • Equations may have one unique solution, no solutions, or an infinite number of solutions.

Glossary

coefficient a number multiplying a variable equation a mathematical statement of equivalency between two expressions expression groups of terms connected by addition or subtraction term a single number, or variables and numbers connected by multiplication variable a symbol that stands for an unknown quantity, often represented by letters such as x,y,x, y, or zz.

Licenses & Attributions