Mathematician: _________________________________
U4E1 Chapter 6 Homework 6.1
Select all that are equivalent to the given expression.
1.
14x
a. 7(2x)
b. 4(10x)
c. 10x + 4x
d. 12(28x)
2.
30y
a. 3y + 10y
b. 3(10y)
c. 15y + 15y
d. 13(90y)
e. 2(15y)
3.
18m
a. -(-18m)
b. 24m - 6m
c. 2(9m)
d. 24 - 6
e. 15m + 3m
Evaluate each algebraic expression.
4. -4y
a. when y = -3
b. when y = -2
c. when y = 3
d. when y = 2
5. 2a – 5
a. when a = -3
b. when a = -2
c. when a = 3
d. when a = 2
Period: _____
Mathematician: _________________________________
Period: _____
U4E1 Chapter 6 Homework 6.2
Use the distributive property to write an equivalent expression.
1.
3.
2(7x + 10)
7(2 – 4x)
2.
4.
–3(–6x + 10)
5(–10 + 4x)
Factor the following to write an equivalent expression.
5.
7.
32 + 20x
10x + 25
6.
8.
20x + 40
-30 + -21x
Mathematician: _________________________________
Period: _____
U4E1 Chapter 6 Homework 6.3
Use the distributive property to write an equivalent expression for #1-6. Find the
expression that is equivalent and check it off in the answer box. Work must be
shown.
Answer Box (to be checked off)
12x + -2
18x + 3y + 36
-14x + 2y
-12x + 15 - 27y
-22x + 4
5x - 8y + 6
1. 3(-4x+5 -9y)
2. -4(-3x - 8) -34
3.-4x-5(2x-y)-3y
4. 7(2-3x)-5(2+x)+4x
5. (3x+2-8y)+(2x+4)
6. 3(8x+7)-3(2x-y-5)
Mathematician: _________________________________
Period: _____
U4E1 Chapter 6 Homework 6.4
1. A swim club charges a $30 initiation fee plus $2 per visit. The charges are recorded in
the table. Write an expression for the charge for the nth term in the table. Then find
the other three terms.
Number of visits
1
2
3
4
Charges ($)
32
34
36
38
n
10
18
2. Adriana plants a rectangular vegetable garden in her backyard. The length of the
garden is 16g+24. The width is 13g-15. What expression represents how much longer the
garden is than it is wide? Explain how you can check your answer.
3. The area of a rectangular sand volleyball pit is 18z+24 square units. Select all of the
possible dimensions of the pit.
a.
6 and 3z+4
b.
6z+8 and 3
c.
6 and 3z+18
d.
9z+3 and 9z+21
4. The triangle has a perimeter of 9d - 8. Write an expression for the unknown length of
the third side. Explain your answer.
24
Mathematician: _________________________________
U4E1 Chapter 6 Homework 6.5
Write equivalent expressions for the following.
1.
2.
3.
4. Create your own expression and equivalent expression.
Period: _____