Solving Equations
5x + 1 = 10
x = 2
Use the distributive property
6 ( 7x - 10)
42x - 60
When do we use an open circle and when do we use a closed circle when we graph solutions to inequalities on a number line?
Closed if the "or equal to" line is there
5 friends went to a Dodgers game. They paid $30 for parking, and all of their tickets were the same price. They paid $270 all together. How much were the tickets?
$48
-6x - 12 = 0
x = -2
Simplify
6x + 8 - 7x + 2
- x + 10
List 3 solutions to the inequality 2x < 8
anything that is less than 4
Five students came for after-school tutoring. Ms. Donahue assigned each of them the same number of problems to complete. Then he assigned each student 2 more problems. 30 problems were assigned in all. How many problems did Ms. Donahue originally assign?
4 problems
3(2x - 6) = 12
x = 5
Simplify
5(2x + 3) + 4(2x + 1)
18x + 19
4x - 2 > 18
x > 5
There are 4 classes in the seventh grade. Each class receives 30 calculators and the same amount of pencils. A total of 920 items (calculators and pencils) were ordered for the seventh grade. How many pencils does each class get?
200 pencils
5x + 4 + x = 64
x = 10
Simplify
4(x-2) - (3x + 1) + x
2x - 11
Solve and graph the solutions on a number line
12 < 2(x + 4)
2 < x or x > 2
The cost of hats for a team is $13.75 each. There are 12 players. The team has $600 to spend. If they want to buy a uniform for each player, how much money can they spend per player?
$36.25
3/4 ( 8x - 6 ) = 3/2
x = 1
Enter the value of p so the expression 1/4 x - 1/9
is equivalent to p(1/2x - 2/9 )
p = 1/2
Solve and graph solutions on the number line
-3(x-5) > -3
x < 6
A family of 6 is going to the fair. They have a coupon for $1.50 off each ticket. If they pay $46.50 for all their tickets, how much does a ticket cost without the coupon? Draw a diagram and solve this problem.
$9.25