Transcript Unit 7 Review

Unit 7 Review
1. Simplify
.
1
2. Evaluate
and
for
 3  3
2
.
.
0

1
 3
2
1

9
.
Unit 7 Review
.
3. Simplify
9 1 z
9z

8
8
y
y
8
8
4. Find the value of the power
.
10, 000, 000
Unit 7 Review
5. Write 10,000 as a power of 10.
10
4
6. Write 0.01 as a power of 10.
10
2
Unit 7 Review
7. Find the value of the expression
10  1000
107, 000
3
.
Unit 7 Review
8. The planet Mars has an average distance from
the sun of about 141,600,000 miles. Write this
number in scientific notation.
141,600,000 miles
1.416  10 miles
8
Unit 7 Review
9. Simplify
1
.
 6 
.
10. Simplify
5
m y
6
3
Unit 7 Review
.
11. Simplify
x
40
x x
4
12. Simplify
1
.
31
6
36
1
 36
x
 6  36
2
.
13. Simplify
6 12
y z
63 123
3 9

y
z

y
z
3 3
yz
14. Simplify
and write the answer in scientific notation.
8.82  10
3
2

0.98

10

9
.8

10
2
9  10
10
5
Unit 7 Review
15. Simplify
.
3
4
3
  2 8
2
16. Find the degree of the monomial
11
.
Unit 7 Review
17. Find the degree of the polynomial
.
9
18. Write the polynomial
3x  8 x  12 x  5 x  2 x  6
2
5
3
4
in standard form. Then give the leading
coefficient.
12 x  2 x  5 x  3x  8 x  6
5
4
3
12
2
Unit 7 Review
19. Classify the polynomial according to its
degree and number of terms.
Linear, Monomial
TABLE
Unit 7 Review
20. A toy rocket is launched from a platform 34
feet above the ground at a speed of 90 feet
per second. The height of the rocket in feet
is given by the polynomial
where t is the time in seconds. How high will
the rocket be after 3 seconds?
f  3  16  3  90  3  34
2
 16  9   270  34  144  304  160 '
Unit 7 Review
21. Add or subtract.
10m  2m  13m  20m
4
4
18m  23m
4
22. Add.
6c  6 c  2
5
Unit 7 Review
 8b  b  b  4b  4
4
23. Subtract.
3
4
3
7b  5b  4
4
24. Multiply.
FOIL
3
 n  5 n 1
n  n  5n  5
2
n  6n  5
2
Unit 7 Review
25. Multiply.
33x 3 15x 6
4
2
5x

25x
10x
5x
x 3 5x 2
 5 x  3x  25 x  25 x  6
4
3
2
Unit 7 Review
26. Multiply.
(a + b)2 = a2 + 2ab + b2
 36w  72wz  36 z
2
2
(a – b) = a2 – 2ab + b2
27. Multiply.
 p  16 p  64
2
Unit 7 Review
28. Multiply.
(a + b)(a – b) = a2 – b2
 r  49
2
29. Simplify
.
1 1
 3
2
8
Some polynomials have special names based on
their degree and the number of terms they have.
Degree
Name
Terms
Name
0
Constant
1
Monomial
1
Linear
2
Binomial
2
Quadratic
Trinomial
3
4
Cubic
Quartic
3
4 or
more
5
Quintic
6 or more
Polynomial
6th,7th,degree
and so on
Problem