ID: 1
CCGPS Geometry
Name___________________________________
Unit 4 Quiz 1 Review
Date________________ Period____
©E n2m0W1v3H LKYuct6aT XSYo8fptTw3aZr2ex XLGLHCQ.B G aAilvl1 errizgPhQtmst rrEeOsYeKr4vqehdx.Y
Determine if the expression is a polynomial or not. If no, circle why it is not.
1) x
3)
−4
+ 8x − π
5 ⋅ x3 + 6x2 − 4
5) −9 x + 2 x + 1
2)
x
+ 7 x 2 − 0.5
4
4)
9
+ 7 x − 1000
x2
6)
−5 ⋅ x 4 + 6 x 3 − 4
Put each polynomial in standard form. Find the leading coefficient and name each polynomial by degree
and number of terms.
7) x + 1 − 3 x 3 − 7 x 2
8) 2b 4 − 10b
9) −10 − 8b 2
10) 5 p 2 − 2 + 8 p 3
11) 3
12) 9b 3
Simplify each expression. Answers should be in standard form.
13) (4k − 6k 2 ) + (6k 2 + 5k)
14) (−3m 4 + 1) − (−3 + 7m 4 )
15) (a − a 2 ) − (7a − 2a 2 )
16) (8b − 7b 2 ) + (−5b 4 + 6b)
17) (5k 3 − 4k 4 − 5) − (2 + 2k 3 + 6k 4 )
18) (−2 p 3 + 2 p 2 − 2 p 4 ) + (−3 p 2 + 4 p 3 + 5 p 4 )
19) (3n 4 − 5n − 3) + (7n 4 − 2 + 3n)
20) (7 x 2 + 2 x 3 − 7 x 4 ) − (− x 3 + x 4 + 6 x)
©5 N2c0u1y3J yKBu5tsaQ NSLolf0tqwJaArWe5 rLELgCz.B Y nAXljlM SrFiogjh7tBsd brEelsWeDrZvSeedv.N t 9M5aOdbe5 Kw9iltGhv CINnkfhimnTikthe2 MAmlxgweYb4r4aG T2l.i
-1-
Worksheet by Kuta Software LLC
21) (7a 2 − 5) − (1 + 2a 2 − 3a + 3a 3 ) + (4a 2 − 3a)
22) (8v 2 − 6) + (3v 3 + 1 − 2v 2 − 4v 4 ) − (4 + 8v 4 )
Find each product. Answers should be in standard form.
23) 3(5 p + 5)
24) 2 x(6 x − 6)
25) (5m + 2)(6m + 1)
26) (4a − 5)(5a − 7)
27) (7v + 6)(5v 2 − v − 7)
28) (3b + 6)(5b 2 − 5b + 4)
29) (8 x 2 + x − 5)( x 2 − 5 x + 2)
30) (2 x 2 − 3 x + 6)(6 x 2 − 4 x + 7)
Suppose you are trying to build a garden in your back yard. The length needs to be 3 x + 2 ft and the
width needs to be 2 x 2 + 5 ft.
31) Determine the amount of fencing needed to
border around the garden.
©y c2c0O1c3M hKVuytBaD dSso4fLt0wBaErCei iL2L3Ct.g d iASlIlh VrSicgfhStMs1 KrQeKsGeLr8vseYdL.X S UM9a8dJem UwZiutJhe kI9nlfCi2nziEtLeV lA0lwgzesb4rvaz o2r.s
32) Determine the amount of soil needed to cover
the area of the garden.
-2-
Worksheet by Kuta Software LLC