Download Simplifying Exponents

Exam Review Topics for Test #1 Test #1 AN 1, 4 & 5 (41 pts) Prime & Composite, Factor Trees,
GCF & LCM, Perfect Squares, Perfect Cubes, FOIL, Factor – Diff Sq, Sum & Product, Decomposition, GCF,
Verify factors
1.
Tell if the following numbers are Prime or Composite:
3, 4, 5, 13, 15, 17, 21, 23, 25, 29
PRIME
Composite
2. Make a factor tree for each number.
a) 60
b) 24
3. Find the GCF and LCM of each set.
a) 12, 14
b) 21, 45
c) 20, 36
4. a) List the first ten perfect squares
b) List the first ten perfect cubes.
c) Which of the perfect cubes in part b are also perfect squares?
5. By expanding, verify if these factors are correct.
1. (x+3)(x-2)
=
x2+x-6
m2-4
2. (m-1)(m-1)
=
3. 4x(cx-2k)
=
4cx2-8kx
4. (x+3)(x+3)
=
x2+6x+9
5. (2m-3)(m-1)
=
2m2-5m+3
6. Factor the following
1. x2-16
2. m2+7m+6
3. 3y2-7y+4
4. x2+5x+4
5. mn2+3mn
6. m2-25
7. c2+9c+20
8. 5x2-6x-8
7. Give an example of :
1. GCF
2. Sum & Product
3. Difference of Squares
4. Decomposition
8. State the factors of the following polynomial by sketching the expression using algebra
tiles.
x2 – 5x + 6