Analyze and Solve Linear Equations

The graph shows the proportions of blue paint and yellow paint that Brianna mixes to make green paint. What is the slope of the line? Tell what it means in the problem situation.

• The slope is 5/6, meaning for every 5 parts of yellow paint, 6 parts of blue paint are used.

• The slope is 2, meaning twice as much blue paint is used compared to yellow paint.

• The slope is 0.5, meaning half as much blue paint is used compared to yellow paint.

• The slope is 0, meaning no blue paint is used.

A mixture of nuts contains 1 cup of walnuts for every 3 cups of peanuts. Write a linear equation that represents the relationship between peanuts, x, and walnuts, y.

• y = 3.1x

• y = 1.3x

• y = 3x

The equation y = 5 + 0.5x represents the cost of getting a car wash and using the vacuum for x minutes. What is the y-intercept?

• 0

• 5

• 0.5

• x

What is the equation of the line?

What is the equation of the line?

• y = 2x - 3

• y = -x + 3

• y = 0.5x - 1

• y = -3x + 2

Solve this equation.

10(x + 4) – 3 = 14x + 1

• one solution

• no solution

• infinitely many solutions

• I don't have a clue

Solve the equation 4x + 12x = 320

• x = 8

• x = 16

• x = 12

• x = 20

Solve this equation.

(1/3)(y+7)=3(y−1)

• y = 0

• y = 1

• y = 2

• y = 3

Solve this equation.

–3(x – 14) + 9x = 6x + 42

• x = 0

• no solution

• infinitely many solutions

• I don't have a clue

How many solutions to the equation –2(3x – 1) = –6x – 1 ?

• 1 solution

• no solutions

• infinitely many solutions

• I don't have a clue