The following table shows some data from a study on substance use among 10th graders in the United States and Europe.   Smoked Cigarettes Cigarette-Free Totals U.S. x y 12,000 Europe z w 98,000 Total   65,210 110,000 (a) The table leads to a linear system of four equations in four unknowns. What is the system? x  +  y          =  12,000     y      +  w  =  98,000         z  +  w  =  65,210 x             +  w  =  110,000

For which value of kthe system of the linear equations below has NO solution? x + ky = 0 2x + (k+ 1) = 2 (a) 1 (b) 2 (c) 3 (d) 4 (e) 5 C a

Charlie goes to his piggy bank and finds 35 coins, all nickels and quarters, worth $5.15. Which system of equations best represents the situation if N represents the number of nickels and Q the number of quarters? O a N+Q = 5.15 N = 35 - Q %3D N = 35 – Q 5N + 25Q = 515 O b %3D N = 35 – Q 5N + 25Q = 5.15 %3D N+Q = 35 0.5N +0.25Q = 5.15 Od Next Page Back

2 Eustacia can walk 1 mile in 12 minutes. She can walk 2 miles in 24 minutes. She can walk 3 miles in 36 minutes. According to this relationship, which table shows the number of minutes it will take Eustacia to walk 4, 5, and 6 miles? H. Miles Minutes Miles Minutes 4. 16 4 56 17 70 18 6. 84 J Miles Minutes Miles Minutes 4. 48 4 44 60 55 72 6. 66 3 The table shows the number of buttons on lifferent numbers of jackets. 5 6,