Analyze and Solve Linear Equations

Solve the equation
3x + 2(4x - 4) = 3

• 11/5

• -1

• 1

• 2

Solve the equation
0.25x - 5 = 0.75x - 12

• 3/4

• 1/4

• 14

• 7

Solve the equation
-11 + 3(x + 5) = 7

• 1

• -1

• 3

• -3

How many solutions does this equation have?
3(10x + 2) = 30x + 6

• One Solution

• No Solutions

• Infinite Solutions

Solve for y:
2x + 2y = 6

• y = - x + 3

• y = x + 3

• y = 2x +6

• y = - 2x + 6

Identify the option having two correct solutions for the equation 5x + 4y = 20

• (2,1) and (3,2)

• (1, 4) and (3,1)

• (0, 5) and (4, 0)

• (4, 3) and (3, 0)

Answer explanation

5x + 4y = 20 On taking (x = 0, y = 5), L.H.S = 5(0) + 4(5) = 20 = R.H.S On taking (x = 4, y = 0), L.H.S = 5(4) + 4(0) = 20 = R.H.S Therefore, (0, 5) and (4, 0) are two solutions of the given linear equation in two variables.

-4=-x+2y 

•  x-2y=4

• x-2y=-4 

• 4=x-2y 

• x+2y=4 

5x - y = 16

• -y = 5x + 16

• y = 5x + 16

• x = 5y - 16

• y = 5x - 16

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

Rewrite the equation in STANDARD form.

-2x+20=-5y 

• 2x+5y=20

• 2x-5y=20

• 20=2x-5y 

• -2x+5y=-20