Topic 4 TEST REMEDIATION

When solving this system of equations by elimination, which number would you multiply the second equation by to eliminate x?

10x+2y=30

2x+5y=60

• 1

• 10

• 5

• 2

Choose a system of inequalities for the graph.

A school club is selling t-shirts.  The function p(n)=150−3n represents the profit in dollars when n t-shirts are sold.  If the club has 75
t-shirts to sell, what is the domain of this function?

• All real numbers 0 to 75

• All integers from 0 to 75

• All real numbers

• All multiples of 3 from 0 to 75

Substitution would be the best method to solve which system of equations?

• x+y=5

  x-y=10

• x-2y=6

  y=3x+18

• 2x+4y=-8

  6x-3y=18

• 10x+3y=30

  -10x+y=10

SOLVE. x+4y=2

2x+5y=-2

• (-6, 2)

• (2, 3)

• (0, 4)

• (4, -3)

The equations 2x+5y=45 and 2x+y=25 represent the money collected from ticket sales for a school play.  Let x represent the cost of each adult ticket and y represent the cost for each student ticket. 

How much would it cost to have a family of 4 adults and 2 students attend?

• $45

• $35

• $25

• $50

SOLVE. y=x+4

-2x+4y=20

• (6, 2)

• (2, 6)

• (-2, -6)

• (-6, -2)

A movie theater sold a total of 50 tickets for an evening showing.  The tickets were sold as adult tickets (a) and child tickets (c).  The total revenue from ticket sales was $500, with each adult ticket costing $10 and each child ticket costing $5.  

The system of equations representing this situation is:

a+c=50

10a+5c=500

After solving, the theater finds that a=50 and c=0

Which of the following explanations of the solution is correct?

• The theater sold 50 adult tickets and 0 child tickets, making a total of $500 from 50 tickets sold.

• The theater sold 0 adult tickets and 50 child tickets, making a total of $500 from 50 tickets sold.

• The theater sold 25 adult tickets and 25 child tickets, making a total of $500 from 50 tickets sold.

• The system has no solutions.