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Entrance Ticket

8) (1, 6) 10) (29, 53)12) (1, 1) 14) Infinitely many15) Infinitely many 16) No solution18) (0, 1)24) a) South American and Caribbean, Y=0.8x+40.3 Middle East, y=1.8x+17 b) In 23.3 yr (about 23 yr and 4 mo)26) a) y=65x+10 y=69x+13.60 d) No solution because the intersection does not occur in the first quadrant.28) 25 girls and 35 boys31) An equation containing a variable with a coefficient of 1 can easily be solved for the variable. That expression can then be substituted into the second equation for the variable.

6.1 – 6.2 Review Session

Problem #1

Two lines are graphed on the same coordinate plane. The lines only intersect at the point (3, 6). Which of these systems of linear equations could represent the two lines?

#1

• A, E

Problem #2

Indicate whether the system of equations has no solution, one solution, or infinitely many solutions by selecting the correct response.

#2

• Infinitely many solutions

Problem #3

Indicate whether the system of equations has no solution, one solution, or infinitely many solutions by selecting the correct response.

#3

• One solution

Problem #4

A system of equations is shown.

hat is the solution (x, y) of the system of equations?

#4

• (10, -2)

Problem #5

Graph to find the solution.

#5

• (6, -1)

Problem #6

Solve the system of linear equations.

#6

• (8, 11)

Problem #7

Use substitution to solve the system of equations.

#7

• (3, -2)

Problem #8

The length of a rectangle is three times the width. The sum of the length and the width is 24 inches. What is the length of the rectangle?

#8

Problem #9

Solve.

#9

(0, 0)

Problem #10

Find the solution.

#10

• (2, -5)

HW

Pg. 361 #3-13 ALL