math basic algebra work sheets 12 work sheets

Math 090 Wk 1 TU GW: Linear Equations in one

variable Fall 2016

1. What is the difference between an equation and an expression? Give examples of each.

Solve the following equations.

2. 4x − 17 = 35

3. 13y + 4 = 5(y − 4)

4. 2

3 x −

1

6 = −

5

12 x +

3

2 −

1

2 x

5. 2y − 4

5 =

5y + 13

4 +

y

2

Below are sample directions and worked out problems. Determine if the problems are worked out correctly, or if they contain error(s). If they contain errors, mark where the error occurred, and correct the work.

6. Solve the following equations.

3x + 2

7 −

x + 4

5 = 2

x − 10 5

+ 2

5 = −

x

3

35

1 ·

3x + 2

7 −

35

1 · x + 4

5 = 35 · 2

15

1 · x − 10

5 +

15

1 ·

2

5 = −

15

1 · x

3 15x + 10 − 7x + 28 = 70 3x − 30 + 6 = −5x

8x + 38 = 70 3x − 24 = −5x 8x = 42 − 24 = −8x

x = 21

4 3 = x

7. Simplify the following expressions.

5 + 2(6 − x) − 22 1

3 x +

1

2 x −

1

6

= 7(6 − x) + 4 = 6

1 ·

1

3 x +

6

1 ·

1

2 x −

6

1 ·

1

6 = 42 − 7x + 4 = 2x + 3x − 1 = 46 − 7x = 5x − 1