IAPR2S CH. 3 REVIEW

GCF/LCM

100

What is the GCF of 46 and 84?

2

200

What is the LCM of 45 and 60?

180

300

What is the GCF of 

4s^2t^2, 12s^2t^3, and 36st^2?

4st^2

400

Hamburger patties come in packages of 8. Buns come in packages of 6. What is the least number of hamburgers that can be made with no patties or buns left over?

24 hamburgers

500

Two ropes are 48 m and 32 m long. Each rope is to be cut into equal pieces and all pieces must have the same length that is a whole number of metres. What is the greatest possible length of each piece?

16 m

PERFECT SQUARE

100

What is the square root of 256?

16

200

Is 440 a perfect square? Prove why or why not on paper. First one to show me the correct answer on paper gets the points.

no (make a factor tree to prove why not)

300

Fill in the question mark:  

4a^2+20ab+ ? b^2

25

400

Factor 

4j^2-225h^2

(2j-15h)(2j+15h)

500

Fill in the question mark (Hint: there are 2 possible solutions. You must provide both solutions to get the points)

x^2+ ?x+49

+-14

EXPANDING

100

Expand and simplify 

(2r+s)^2

4r^2+4rs+s^2

200

Expand and simplify 

(10-r)(9+2r)

90+11r-2r^2

300

Expand and simplify 

(4a-3b)^3

64a^3-144a^2b+108ab^2-27b^3

400

Expand and simplify 

(3s+5)(2s+2)+(3s+7)(s+6)

9s^2+41s+52

500

Expand and simplify 

(3x-2)^2-(2x+6)(3x-1)

3x^2-28x+10

FACTORING 1

100

Factor 

12-7y+y^2

(y-3)(y-4)

OR

(3-y)(4-y)

200

Factor 

x^2+8x+12

(x+2)(x+6)

300

Factor 

8m^2-72n^2

8(m+3n)(m-3n)

400

Factor 

3n^2+11n+10

(n+2)(3n+5)

500

Factor 

6x^2-17xy+5y^2

(2x-5y)(3x-y)

FACTORING 2

100

Factor 

16r^2+8rt+t^2

(4r+t)(4r+t)

200

Factor

12x^2-27y^2

3(2x+3y)(2x-3y)

300

Factor 

8p^2+40pq+50q^2

2(2p+5q)(2p+5q)

400

Factor 

-18b^2+128c^2

-2(3b+8c)(3b-8c)

500

Factor

-24u^2-6uv+9v^2

-3(2u-v)(4u+3v)