Solving Equations

Translate & Evaluate

1

Evaluate x²-3 when x=4

x= 13

2

Translate "9 less than a number"

n - 9

3

Evaluate 4(xy - 3y) when x = -2 and y = 5

x= -100

4

Translate 75% of the sum of -12 and a number

0.75(-12 + n)

5

Translate three tenths of the quantity of a number cubed and the quotient of a number and 6.

3/10 (x³ + n/6)

Two-Step Equations

1

6x – 13 = 11

x= 4

2

14 - 3x = 5

x= 3

3

x/2+2 =-8

x= -20

4

10-x/2=8

x= 4

5

3-x/3=-3

x= 18

Mixed Equations

1

Solving Equations

3(𝑥 − 9) = −3

x = 8

2

Solving Equations

-5p + 1 = 6

p = -1

3

Solving Equations

2n+10 = 4

n = -3

4

Solving Equations

5(m-3) = 4

m = 19/5

5

List the four steps to solving an equation.

1. Distribute

2. Combine like terms

3. Move the variable to one side

4. Solve using SADMEP

Multi-Step Equations

1

Solving Equations

x + 3 + 3x = 7

x = 1

2

Solving Equations

5 + 5x - 1 = 29

x = 5

3

Solving Equations

-45 = 3x + 4 + 4x

x = -7

4

Solving Equations

14 = -(2a + 6) + 2

a= -9

5

Solving Equations

-21 = 7(5k - 8)

k = 1

Equations with Variables on Both Sides

1

4x - 2 = 3x + 5

x = 7

2

2(x - 4) = 5x + 4

x = -4

3

6x + 3 - 2x = 2x + 11

x = 4

4

9 - x = 6 + 2x

x = 1

5

6x - 15 + 4x = 5(2x - 3)

ALL REAL NUMBERS