Illustrate Linear Equation

Look at the table. Which equation best models the data?

• f(x) = -4x + 1

• f(x) = 2x - 8

• f(x) = -12x + 3

• f(x) = 2x + 2

Write an equation of the line given m = 1 and b = 4

• y = 4x + 1

• y = x - 4

• y = -1x + 4

• y = x + 4

The monthly cost of renting a laptop is shown in the graph. Which equation best represents the cost, y, of renting the laptop for, x, months?

• y = 45x

• y = 35x + 45

• y = 65x + 45

• y = 20x + 45

Two quantities, x and y, are related such that y varies directly with x. If the graph of this relationship contains point (-3, 2), which point also belongs on the graph?

• (9, -6)

• (0, -1)

• (-12, 11)

• (21, -10)

The water level in the lake during the spring was 1.5 feet below sea level. The unusually hot and dry summer caused the water level to drop 0.6 foot each week. Which equation best models the water level in feet, f, after, w, weeks?

• f = -1.5w + 0.6

• f = -0.6w + 1.5

• f = -1.5w - 0.6

• f = -0.6w - 1.5

Convert the equation 3x -5y = -10 to slope intercept form.

• y = -3/5x - 2

• x = 5/3y - 10/3

• x = -5/3 + 10/3

• y = 3/5x + 2

Consider the equation: y = 12x + 1.
If y represents the total number of cookies, which situation best describes the equation?

• After purchasing x dozen cookies, one additional dozen costs $1

• After purchasing x dozen cookies, one cookie is free

• After purchasing x dozen cookies, the next dozen is free

• After purchasing x dozen cookies, one additional cookie costs $1

What is the correct mathematical equation in the statement “If I add 9 to my number, the sum is 17“?

• x + 9 = 17       

• 17 + x = 9       

• 9 + 17 = x       

• x – 9 = 17

A number multiply by 2 gives a product of 18.

• (2)(18) = n

• 2n = 18

• 2n = 2(18)

• 2 ÷ n = 18

Which of the following is true about linear equation in one variable?

• It has only one variable with any power

• It has one term with a variable

• It has only one variable with a power of 1.

• It has only one constant term.