Linear Equations and Inequality Algebra

Which of the following ordered pairs is a solution to the inequality graphed below?

Groups:

(a) Solution

,

(b) Not a Solution

• (4, 2)

• (4, -3)

• (0, 3)

• (-4, 2)

• (0,0)

• (-3, 0)

Tags

A.PAR.4.2

For which of these characteristics does the linear parent function differ from the absolute value parent function?

Groups:

(a) Differ

,

(b) Alike

• end behavior

• domain

• range

• y-intercept

• intervals of increase 

• curvature

Tags

A.FGR.2.5

Jason has d dimes and q quarters in his pocket. The total value of the coins is less than $14.75. Which inequality models this situation?

• 0.35(d + q) < 14.75

• 0.35(d + q) ≥ 14.75

• 0.1d + 0.25q < 14.75

• 0.1d + 0.25q ≥ 14.7

Tags

A.PAR.4.1

The equation of the linear function h(x) is shown. 

h(x) =  - 2x + 5

Choose a graph that represent the linear function

j(x) = h(x) - 4.

Tags

A.FGR.2

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.

Write a linear equation to represent this situation.

Mathematical Equivalence

ON

Answer explanation

Because this is a linear function, we will use slope-intercept form (y = mx + b).

$80 is the starting or fixed cost which represents the b, or the y-intercept.

$45 is the rate per hour which represents the m, or the slope.

Therefore, the equation is y = 45x + 80.

Tags

A.2(A)

Mathematical Equivalence

ON

Mathematical Equivalence

ON

The slope parallel to the equation f(x)=5x-10 is (a)  

• 5

• -5

• -10

• 15

• The two lines are perpendicular.

• The two lines are parallel.

• The two lines intersect but are not perpendicular.

• The two lines coincide.

Tags

A.GSR.3.1