Grade 8 | Unit 3 | Lesson 12: Solutions to Linear Equations | Practice Problems

Select all of the ordered pairs \((x,y)\) that are solutions to the linear equation \(2x+3y=6\).

• (6,-2)

• (3,0)

• (0,2)

• (0,6)

• (2,3)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Find and interpret the \(x\)- and \(y\)-intercepts of this line.

Description: Graph with a horizontal axis showing comics (scale 0 to 5), and a vertical axis showing dollars (scale 0 to 20). Line starts at (0, 20) and ends at (5, 0).

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

Find and interpret the slope of this line.

Description: Graph with a horizontal axis showing comics (scale 0 to 5), and a vertical axis showing dollars (scale 0 to 20). Line starts at (0, 20) and ends at (5, 0).

Find an equation for this line.

Description: Graph with a horizontal axis showing comics (scale 0 to 5), and a vertical axis showing dollars (scale 0 to 20). Line starts at (0, 20) and ends at (5, 0).

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If Priya buys 3 comics, how much money will she have remaining?

Description: Graph with a horizontal axis showing comics (scale 0 to 5), and a vertical axis showing dollars (scale 0 to 20). Line starts at (0, 20) and ends at (5, 0).

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Match each equation with its three solutions.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

A container of fuel dispenses fuel at the rate of 5 gallons per second. If \(y\) represents the amount of fuel remaining in the container, and \(x\) represents the number of seconds that have passed since the fuel started dispensing, then \(x\) and \(y\) satisfy a linear relationship. In the coordinate plane, will the slope of the line representing that relationship have a positive, negative, or zero slope? Explain how you know.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSS.ID.C.7

A sandwich store charges a delivery fee to bring lunch to an office building. One office pays $33 for 4 turkey sandwiches. Another office pays $61 for 8 turkey sandwiches. How much does each turkey sandwich add to the cost of the delivery? Explain how you know.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3