DOL 8.28

Which situation can be represented by this equation? 7x + 1 = 10x

• A. Brody ran at a constant rate of 7 miles per hour in a race. Candice ran at a constant rate of 10 miles per hour in a race and started 1 mile in front of the starting point. What is x, the number of hours that Brody and Candice would have to run in order for their distance to be the same?

• B. Brody played a game where he scored 8 points per hour. Candice played the game and scored 10 points per hour. What is x, the number of hours that Brody and Candice would each have to play the game in order for their scores to be the same?

• C. Brody went to two different amusement parks. The first park charged $7 per hour and gave a 1% discount for showing a student ID. The other park charged $10 per hour. What

  is x, the number of hours that Brody would have to stay at each park to have to pay the

  same amount?

• D. Brody rode his bicycle on two different days. The first day he rode 7 miles per hour and started 1 mile from his house. The second day he started from his house and rode 10 miles per hour. What is x, the number of hours that Brody would have to ride his bicycle to travel the same distance on both days?

Shae and Crystal are sisters. Shae has $295 in her savings account and deposits an additional $80 each month. Crystal has $170 in her savings account and deposits an additional $105 each month.

Which equation can be used to find the value of m, the number of months it will take for the sisters to have the same amount of money in their accounts?

• 295m + 80 = 170m + 105

• 295m + 80m = 170m + 105m

• 375m = 275m

• 295 + 80m = 170 + 105m

What is the solution to Joseph’s model?

• -6

• -2

• 6

• 2

Quin is a driver who picks up customers for rideshare service. He charges a one-time $6.50

transportation fee, and $2.50 per mile. Quin’s customer pays $34 for a ride. How many miles

does Quin drive this customer?

• 10 miles

• 11 miles

• 17 miles

• 25 miles

Jocelin’s teacher gives the class equations to solve. Which equations are NOT true when x = -3? Select THREE correct answers.

• A. 2x – 10 = 50

• B. -7x – 32 = -11

• C. 16x + 17 = -31

• D. 8x – 50 = -26

• E. -34 – 14x = -20