Appendices
Appendix A
Translating Expressions Practice Problems. For numbers 1-6 students write the algebraic expression. For numbers 7 – 12 students write the verbal expression in words.
1. A number multiplied by 4.
2. Twice a number decreased by 7.
3. 6 more than 3 times a number.
4. The sum of 5 times a number and 8.
5. The sum of 3 times a number plus 6, multiplied by 2 and then increased 4. The final result multiplied by 8
6. The difference of 4 times a number and 6 divided by 2 times the number.
7. Take a number, multiply it by 4 and then add 16.
8. Take a number, add 7 more, multiply by 3, divide by 8.
9. Take half of a number, square it, subtract 12.
10. 7x
11. x + 3
12. 2x – 12
13. 8(3x -3)
14. ½ x – 6
15. 2[4 + 3(2x + 1)]
Appendix B
Equations with Variables on Both Sides
1. 4x = 3x + 5
2. 2x – 1 = 4 + x
3. 6x + 3 = 2x + 11
4. 10 – 3x = 2x – 8x + 40
5. 5 + 4x – 7 = 4x + 3 – x
Appendix C – Implementing California Content Standards for Algebra I
4.0 Students simplify expressions prior to solving linear equations and inequalities in one variable, such as 3(2x – 5) + 4(x – 2) = 12
5.0 Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
The focus of this unit is on standards 4.0 and 5.0. I believe that a firm foundation in understanding expressions and the rules of arithmetic used to simplify them will lead students to be successful when they take on equations.
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