Pre-Algebra - Ch. 5.4 Special Systems of Linear Equations Pg.228

Problem #4

Let x and y be two numbers. Find the solution of the puzzle.

• one solution

• no solution

• infinitely many solutions

Tags

CCSS.8.EE.C.8B

• one solution

• no solution

• infinitely many solutions

Tags

CCSS.8.EE.C.8B

• The lines have the same slope and different

  y-intercepts.

• The lines have different slopes.

• The lines have different slopes and the same y-intercept.

Tags

CCSS.8.EE.C.8B

• (-1, -2)

• no solution

• one solution

• infinitely many solutions

Tags

CCSS.8.EE.C.8B

• (-1, -2)

• no solution

  The lines have the same slope and different y-intercepts.

• one solution

  The lines have different slopes.

Tags

CCSS.8.EE.C.8B

Problem #14

ERROR ANALYSIS: Correct the error in solving the system of linear equations.

• one solution

• no solution

• infinitely many solutions

Tags

CCSS.8.EE.C.8B

Problem #14

ERROR ANALYSIS: Describe the error in solving the system of linear equations.

• The lines have different y-intercepts, so the lines are parallel.

• The lines have different slopes.

• The lines have the same slope and the same y-intercept.

Tags

CCSS.8.EE.C.8B

Problem #16

REASONING: One equation in a system of linear equations has a slope of − 3. The other equation has a slope of 4. How many solutions does the system have?

• one solution

• no solution

• infinitely many solutions

Tags

CCSS.8.EE.C.8B

Problem #16

REASONING: One equation in a system of linear equations has a slope of − 3. The other equation has a slope of 4. How many solutions does the system have? Explain.

• The lines have different y-intercepts, so the lines are parallel.

• The lines have different slopes, they will intersect in one point.

Tags

CCSS.8.EE.C.8B

Problem #18 a

MONEY: You and a friend both work two different jobs. The system of linear equations represents the total earnings for x hours worked at the first job and y hours worked at the second job. Your friend earns twice as much as you.

a. One week, both of you work 4 hours at the first job. How many hours do you and your friend work at the second job?

_____ hours

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8C