System of Equations — Quiz 2

Questions in this quiz (6)

1. Emily and Sarah are saving money from their part-time jobs to buy laptops. If Emily had 200 dollars extra, she would have twice the amount of money that Sarah has saved. If Sarah had 100 dollars less, she would have half the amount of money Emily has saved. Together, their total savings add up to 2,500 dollars. How much money has Emily saved, and how much has Sarah saved?

   • 600
   • 1200
   • 900
   • 1600

2. If $$a - b = 5$$ and $$ab = 12$$, what is $$a^2 + b^2$$?

   • 49
   • 41
   • 37
   • 29

3. If $$x + y = 14$$ and $$\frac{x}{y} = \frac{2}{5}$$, what is $$y - x$$?

   • 4
   • 6
   • 8
   • 12

4. If $$3x + 4y = b$$ and $$7x + 5y = 3b$$, what is $$x$$ in terms of $$b$$?

   • $$\frac{12b}{13}$$
   • $$\frac{28b}{13}$$
   • $$\frac{7b}{13}$$
   • $$\frac{15b}{13}$$

5. If $$2x+3y=5$$ and $$4x+7y=9$$, what is the value of$$6x+10y$$?

   • $$8$$
   • $$14$$
   • $$5$$
   • $$10$$

6. A senior class at Westwood High School is sponsoring a fundraising event. Each student who donates will pay $$5$$, and each student who does not donate will pay an entry fee of $$8$$. A total of $$560$$ was collected from the $$100$$ students who attended the event. How much of the amount was collected from students who did not donate?

   • $$20$$
   • $$160$$
   • $$80$$
   • $$560$$