Name ______________________________________
Equations, Expressions, Properties, & Perimeter
Solve the equations using any method.
1. 2x  1  3
2.
2
x48
3
3. 16  3x  32
4.
5x
 8  25
3
Simplify using the algebraic properties.
5. 5( x  7)  (2x  9)
Distributive
Commutative
Associative
Simplified expression
2
6.  (6 x  9)  3(2x  3)
3
Distributive
Commutative
Associative
Simplified expression
Name ______________________________________
Simplify the expressions.
7. 5(3 x  2y )  5(4 x  y )
8. 5  4(3 x  2y )  2(6 x  4y )
Use one- or two-step equations to solve the following problems.
9.
Eight decreased by three times a number is twenty. What is the number?
a. Formulate an equation for the word problem.
b. Solve the equation algebraically.
10.
Alicia bought a 40-CD case for $15.35. Each CD was priced at $10.25.
a. Formulate an equation to represent the total value, V, of Alicia’s CDs and
case as a function of the number of CDs in the case, c.
b. If Alicia had 18 CDs in the case, what would be the total value of the CDs
and case?
c. If the value of the CDs and case is $353.60, how many CDs are in the
case?
d. Would the value of the CDs and case ever be over $425.35? Justify your
answer.
Name ______________________________________
11.
If (5, y) is a solution to the equation
3
x + 2y = 9, what is the value of y?
5
12. The length of a rectangle is 12 cm more than the width. The perimeter is 44 cm. Find the
length and the width.
13. The perimeter of a rectangle is 104m. The length is 7m more than twice the width.
What are the dimensions of the rectangle?
14. A rectangle has a length of 4x + 7 and a width of 3x – 6. What is the simplified
expression can be used to represent the perimeter of the rectangle?