1. x + 19 = 12 3. x – 32 = 94

2. 15x = -90 4.

Algebra 1 Notes

Sections covered today:

3.1 – Translating

3.2 – Solving simple Add/Subtract Equations

3.3 – Solving simple Mult/Divide Equations

Warm Up-7 126

-6 968

12x

Example 1Translate the verbal statement into an algebraic equation.

two hundred minus three times x is equal to nine

200 – 3x = 9

Example 2

jx 53172

Translate the algebraic equation into a verbal statement.

The sum of the square of x and 17 matches the difference between 53 and j.

x squared and 17 equals j less than 53.

Example 3

7(m + n) = 10n + 17

Translate the algebraic equation into a verbal statement.

Seven times the sum of m and n results in a total of ten n plus 17.

Example 4Solve the equation.

18 + z = 44 -18

z = 26

- 18

Example 5

18 – (-f) = 91

18 + f = 91-18

f = 73

- 18

Example 6Eighteen subtracted from a number equals

31. Find the number.

n – 18 = 31

+ 18

n = 49

+18

Example 7

55r5 5

11r

Solve the equation.

5

Example 8

23

23

14n32

21n

Example 9

24 2412

5

24

g

10g

Example 10

51

51

51

311

h551

Simplify.

32

3h5

1511

h