## Systematic Review of Algebra

1. Add and subtract integers (signed numbers). CCSSM: 7.NS.1

- Color Chips – Addition – Use color chips to illustrate addition of integers. (from the National Library of Virtual Manipulatives – NLVM)
- Color Chips – Subtraction – Use color chips to illustrate subtraction of integers.

2. Solve one-step equations using addition and subtraction. CCSSM: 6.EE.7 and CCSSM: 7.EE4a

- One-step equations with addition and subtraction at Khan Academy
- Practice at AAA-Math

3. Multiply and divide integers (signed numbers). CCSSM: 7.NS.1

- Practice at Khan Academy

4. Solve one-step equations using multiplication and division (including fractions). CCSSM: 6.EE.7 and CCSSM: 7.EE4a

- One-step equations with multiplication and division at Khan Academy

5. Distributive property, factoring out a GCF, and adding like terms.

- The distributive property appears first in 6th grade
*without*variables (whole numbers). CCSSM: 6.NS.4 In 7th grade it is extended to rational numbers but still*without*variables CCSSM: 7.NS.2. - In 8th grade the distributive property is used with variables for expanding expressions and collecting like terms. CCSSM: 8.EE.7

6. Solve multi-step equations. CCSSM: 7.EE4a

7. Factor difference of squares and trinomials (and be aware that the difference of cubes, the sum of cubes, and 4 terms can be factored).

8. Simplifying square roots and adding like terms.

9. Solve quadratic equations with no x^{1} term and by factoring.

10. Solve quadratic equations by using the quadratic formula.