Solve.
-59 + m = 23
m = 82
Which properties could be used to solve the equation below?
Statement Reason
1. 4x + 6 = 18 Given
2. 4x = 12 A?
3. x = 3 B?
A - Subtraction Property of Equality
B - Division Property of Equality
Simplify.
(x2 - x - 3) - (x2 + 4x + 2)
-5x - 5
James earns $8.50 an hour at his part-time job. Each week he earns $68. Write an equation to model the number of hours (h) he worked each week.
8.50h = 68
Find the perimeter of a rectangle with one side labeled with a length of 3x - 1 and another side x2 + 5x - 4.
2x2 + 16x - 10
Solve.
7 = b/14
b = 98
Which properties could be used to solve the equation below?
Statement Reason
1. (w/2) - 4 = 8 Given
2. w/2 = 12 Reason A?
3. w = 24 Reason B?
A - Addition Property of Equality
B - Multiplication Property of Equality
Simplify.
(6a - 3a2) + (2a2 - 3a)
-a2 + 3a
Write an equation to model the situation.
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30.
0.12x + 18 = 30
Find the perimeter of a rectangle with one side labeled with a length of 9c - 10 and another side 5c + 2.
28c - 16
Solve.
(2/3)d = 8/3
d = 4
Solve.
(x + 8)/3 = 5
x = 7
Simplify.
(x2 + x + 4) + (2x2 - 5x + 1)
3x2 - 4x + 5
Write an expression to represent 9 less than six times a number.
6x - 9
Find the perimeter of a rectangle with one side labeled with a length of 5x2 - 9x + 6 and another side 7x3 - 4x + 8.
14x3 + 10x2 - 26x + 28
Which property can be used to solve for m?
-3m = 36
Division Property of Equality
Solve.
6x + 9 = 12
x = 1/2 or 0.5
Simplify.
(5 + 5n2) - (1 - 3n2)
8n2 + 4
Write an expression to represent one-fourth the sum of w and 20
1/4(w + 20)
Find the perimeter of a rectangle with one side labeled with a length of 3x + 5 and another side 3x2 + 6x - 10.
6x2 + 18x - 10
Solve.
(7/4)g = 7/2
g = 2
Solve.
4 - 3x = 9
x = -(5/3)
Simplify.
(x2 + 3x - 1) - (6x2 - x + 3)
-5x2 + 4x - 4
Jill made 20 muffins. She put them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?
Write an equation and solve.
3x + 2 = 20
x = 6
Find the perimeter of a rectangle with one side labeled with a length of 5x + 6 and another side 11x2 - 7x + 4.
22x2 - 4x + 20