The Heart of Algebra

The graph above displays the total cost, C, in dollars, of renting a beach chair for h hours. Which of the following show the relationship between h and C?

• C = -2h +20

• C = 2h + 20

• C = 2h

• h = 40c

Tags

CCSS.8.EE.B.5

The table above shows shipping charges for an online retailer that sells used textbooks. There is a linear relationship between the shipping charge and the weight of the merchandise. Write a function in slope-intercept form that relates y, the shipping charge in dollars, and x, the merchandise weight in pounds.

• y = 1.50x

• x = 1.50y + 9.80

• y = 1.50x + 8.99

• y = -1.50x + 8.99

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Select the equation that contains these two points:

(-1, -5) and (1, 3)

• y = 4x - 1

• y = (1/4)x - 1

• y = (1/4)x + 1

• y = 4x + 1

A system of inequalities and a graph are shown. Which section or sections of the graph could represent all of the solutions to the system?

• Section R

• Sections Q and S

• Sections Q and P

• Sections Q, R, and S

Tags

CCSS.HSA.REI.D.12

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

Tags

CCSS.8.EE.C.8B

• 
• 
• 
• 

Tags

CCSS.7.EE.A.1

• (-3,0)

• (0,3)

• (6,-3)

• (36,-6)

Tags

CCSS.HSA.REI.C.9

(a)  

• -6

• -4

• -2

• 0

• -5

• -4

• 4

• 8

Tags

CCSS.HSF.IF.A.2