1. You will have a limited amount of time to solve the following problems with a partner. Remember to DEFINE your variable first!! Good luck!

2. Let x = cost of adult dinner. Cost of child’s dinner = x – 3
1. At Max’s restaurant the cost of a child’s dinner is $3.00 less than the cost of an adult dinner. You bought four children’s dinners and paid $ Find the cost of an adult dinner.
Let x = cost of adult dinner.
Cost of child’s dinner = x – 3
4(x – 3) = 18
4x – 12 = 18
4x = 30
Solve:
An adult dinner is $7.50.
x = 7. 50

3. He drove a total of 215 miles over 2 days.
2. Mr. Engen rented a car for $35 a day and $0.45 a mile. He had the car for two days and paid $ How many miles did he drive?
Let x = # of miles driven
Equation: 2(35) + .45x =
x =
.45x = 96.75
x = 215 miles
He drove a total of 215 miles over 2 days.

4. 3. The sum of 2 wrestlers weight is 287
3. The sum of 2 wrestlers weight is If Gino weights 17 pounds less than Larry, How much does Gino weigh? How much does Larry weigh?
Let x = Larry’s weight
x – 17 = Gino’s weight
x + x – 17 = 287
2x – 17 = 287
2x = 304
x = 152
x – 17 = 135
Larry weighs 152 pounds, Gino weighs 135 pounds.

5. x + 1 = second integer x + 2 = third integer 4x + 6 = 210 4x = 204
4. The sum of four consecutive integers is What are the numbers?
Let x = first integer
x + 1 = second integer
x + 2 = third integer
x + 3 = fourth integer
x + (x + 1) + (x + 2) + (x+ 3) = 210
4x + 6 = 210
4x = 204
The integers are 51, 52, 53 and 54!
x = 51

6. Let x = winning team. 41 = x + (x -27) 41 = 2x -27 Solve:
5. In Super Bowl XXXV, the total number of points scored was 41. The winning team outscored the losing team by 27 points. What was the final score of the game? Write the equation and solve.
Let x = winning team.
How would you represent the losing team?
x or x - 27
Write equation:
Total points = winning score + losing score
41 = x (x -27)
41 = 2x -27
Solve:
68 = 2x
Score: 34 to 7
x = 34

7. How would you represent the length of the court?
6. A high school basketball court is 34 feet longer than it is wide. If the perimeter of the court is 268 feet, what are the dimensions of the court? Write an equation and solve.
Width = x
Length = x + 34
Let x = width
How would you represent the length of the court?
How would you represent the width of the court?

8. Write the equation: Perimeter = 2w + 2l 268 = 2x + 2(x + 34) Width = x
Let x + 34 = length
Width = x
Perimeter = 268 ft
Write the equation:
Perimeter = 2w + 2l
268 = 2x + 2(x + 34)
268 = 2x + 2x + 68
268 = 4x + 68
200 = 4x
x = 50
Court dimensions are 84 ft by 50 ft

9. Let s = ? 2s + 3s = $25.50 Solve: 2s + 3s = $25.50 5s = $25.50
7. Julia ordered 2 sandwiches and Steven ordered 3 sandwiches. If their total bill before tax was $25.50, how much did each sandwich cost?
Let s = ?
Let s = cost of one sandwich
Write the equation:
2s + 3s = $25.50
Solve:
2s + 3s = $25.50
5s = $25.50
s = $5.10

10. 8. On three tests, a student scored a total of 258 points
8. On three tests, a student scored a total of 258 points. If the student improved his performance on each test by 5 points, what was the score on each test?
Let t = ?
Let t = first test score
t + (t + 5) + (t + 10) = 258
Write the equation:
3t = 258
Solve:
3t = 243
t = 81
Test scores = 81, 86, 91