Linear Equations to Solve Problems

• t = 1.50c + 2.50L

• T = 4(L + c)

• T = 2.5c + 1.5L

• T = 150c + 250L

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Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15

• 2x + 5=15

• x + 2(5) = 15

• 2(x + 5) = 15

The linear equation 3x - 5y = 15 has

• a unique solution

• two solutions

• infinitely many solutions

• no solution

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

-2x+20=-5y 

• 2x+5y=20

• 2x-5y=20

• 20=2x-5y 

• -2x+5y=-20

-16x=2y-10

• 8x+y=5

• -16x-2y=10

• 16x+2y=-10

• 8x-y=-5