Solving Equations with Linear Equations

Looking at the equation x + 5 = 3x -1 tells me that I can perform which step first...

• Subtract 5 from both sides of the equals sign

• Add x to both sides of the equals sign

• Add 3x to both sides of the equals sign

• Subtract 1 from both sides of the equals sign

Solve the equation.

3x - 2 = x + 10

Mathematical Equivalence

ON

Which equation is represented by the algebra tiles in the picture shown?

• -4x + 7 = 2x - 5

• 7 + 4x = 2x + 5

• 4x + 7 = -2x + 5

• -4x - 7 = 2x + 5

Solve the following equation for p.

−0.75p − 4 = 0.25p

• p = -4

• p = 4

Coach Ortiz and his wife Mikala are saving up for a baby. Coach Ortiz has $500 saved up and saving $500 per month. Mikala has $1000 saved up and is saving $250 per month. After how many months will Coach Ortiz and Mikala have the same amount of money saved?

Hint: Create and Equation and solve. Using Desmos is hard to see on this one so you can solve by hand if that helps, remember get parents on one side and children on other

• 2 months

• 3 months

• 4 months

• 5 months

Solve for y:
2x + 2y = 6

• y = - x + 3

• y = x + 3

• y = 2x +6

• y = - 2x + 6

Rewrite the equation in STANDARD form.

-16x=2y-10

• 8x+y=5

• -16x-2y=10

• 16x+2y=-10

• 8x-y=-5

5x - y = 16

• -y = 5x + 16

• y = 5x + 16

• x = 5y - 16

• y = 5x - 16

-2x+20=-5y 

• 2x+5y=20

• 2x-5y=20

• 20=2x-5y 

• -2x+5y=-20

-4=-x+2y 

•  x-2y=4

• x-2y=-4 

• 4=x-2y 

• x+2y=4