Download Unit 3 Review Sheet

Name:
Date:
Mrs. Connolly
Math 7
Expressions with Rational Expressions
Common Core Standards: 7.NS.1-7.NS.3, 7.EE.1-7.EE.2
Unit 3 Review
Lesson 1:
Define the following AND give an example of each:
Monomial- ______________________________________________________________________________
Binomial- _______________________________________________________________________________
Trinomial- ______________________________________________________________________________
Polynomial- _____________________________________________________________________________
1) 5 x  4
3
x is the ___________ 5 is the ____________ 3 is the ____________ - 4 is the ____________
2) Name whether the following is a Monomial, Binomial or Trinomial.
a) 9x + 3y
b) 10xz
c) – 2
d) 7
e) 15abc
3) State whether the given terms are like terms or not like terms.
a) 8a and –4a
b) 12 and 3
c) 12xy and 2xz
d) 3x and x
f) 14x + 4y – 3
e) 4x and 4
Simplify each expression.
4) 2x + x
8) 5.6x + 2 + 9.1x
5) 8y + 4 + 7
6) 3x + 5y + 6
9) Find the perimeter
6x
x+7
7)
1
3
x  3  x  15
5
10
Lesson 2: Simplify each expression.
10) – 8x + 8x
Lesson 3: Simplify each expression.
14) –3(5x + 1)
15) 2(3x – 2)
19)
1
(12 x  6)
3
12) 
11) 4y – 10y + y
20)
1
4
x  9  3 x  10
3
9
16) –4(7x + 4)
2
( 20 x  15)
5
13) –3.9x + 2 + 4.5x
18) –(8x + 9)
17) (–x + 2)3
21)
1
(14 x  22)
2
22) Find the area
5
6x – 7
Lesson 4:
Find the GCF of the numbers given:
22) 20 and 28
23) 16 and 32
**24)
Factor:
25) 8x + 10
26) 12 – 16x
27) 25x + 30
29) Find the missing side of the rectangle given the area:
a)
Area = 14x + 35
b)
**28)
Area = 20x - 4
7
5x – 1
and
Lesson 5: Simplify
30) 5x + 4(2x + 7)
31) – (x – 5) + 4x
33) 10 – (7x – 3) + x
34) 6x + 5(2x – 3) + 9
32) 9 – 3(x + 5) + 8x
35)
1
(8x + 12) – 2x
2
Lesson 6: Translate each expression
36) The difference of x and 4
37) The quotient of x and 15
39) The product of 32 and x
40) 5 more than twice a number
38) 5 decreased by y
41) Six times the sum of x and 3
42) A painter charges a flat rate of $100 plus $20 for each hour of work. Write an expression to represent this
situation.
43) The aquarium charges a $30 entrance fee plus $10 for each additional activity. Write an expression to
represent this situation.
Review: Simplify
44a) -1 + 10
d)
(10  2)
4 2  14
b) -5 – 9
c) 20  2  5
e) 4  5
f) 1.2  3