LESSON
17
Additional Practice
Name For exercises 1 and 2, simplify each expression.
2
1. ! (18x ! 24) ! (x ! 6)
3
4
Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Common Core Progress.
2. !("21y ! 35) ! (!y ! 7)
7
Circle the correct answer.
3. The expression 8n ! 20 represents the area of a rectangle. Which expression
could represent the area of the rectangle written as the product of its length
and width?
a. 4(2n ! 5)
b. 4n(!3)
c. 8(n ! 20)
d. 8n(!0)
Solve the problems.
4. A rectangle has length 3x " 4 feet. Its width is 7x feet. What is an expression
in simplest form for the perimeter of the rectangle?
Show your work.
Answer
Lesson 17 ■ Expand and Factor Linear Expressions
1
LESSON
17
Additional Practice
5. An equilateral triangle measures 15x meters on a side. The triangle is changed
into a scalene triangle by increasing the length of the sides so that they are in
the ratio 3 : 4 : 5.
a. Write a simplified expression for the perimeter of the scalene triangle.
Copyright © by William H. Sadlier, Inc. Permission to duplicate classroom quantities granted to users of Common Core Progress.
Show your work.
Answer
b. Is the perimeter of the scalene triangle greater or less than the perimeter of
the equilateral triangle?
Answer
Justify your answer.
Lesson 17 ■ Expand and Factor Linear Expressions
2