New Elementary Math 2 Year End Review

Miscellaneous

100

Find the mean, median, and mode of this data set:

4, 4, 6, 8, 9

Mean - 6.2

Median - 6

Mode - 4

200

Give this number in ordinary notation:

2.35 x 10²

235

300

Describe the transformation

rotation 90^o clockwise

reflection across the x-axis

400

The volume of a square pyramid is 120 cm³ with altitude 5 cm. Find the area of the base and the length of the side of the base (to the nearest tenth).

Area of base - 72 cm²

side of base - 8.5 cm

500

Find the surface area of a sphere of radius 4.6 cm. Use 3.14 for pi.

265.7696 cm³

Polynomials

100

(x^4 + 2x^3 +x^2 - 4x+5)+(x^3-5x^2+3x-8)

x^4 + 3x^3 -4x^2 - x -3

200

(-2p +4q) - (p - 7q)

-3p + 11q

300

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

4x^2 - 9y^2

400

Factor.

2x^2 - 4x - 48

2(x - 6)(x + 4)

500

(x^2-1)/((x-1)^2) xx (x^2-x-2)/(x^2-3x+2)

1

Triangles

100

Are the triangle similar? How?

Yes; by two sides proportional and angle between

200

Find QR.

QR = 28

300

Find sin A, cos A, tan A.

sin A = m/p;cos A=q/p;tanA=m/q

400

Find angle p correct to one decimal place.

p = 29.1^o

500

Are the triangles congruent? How?

Yes; by ASA.

Solving

100

Solve.

10x+23<=-13

x<=-3.6

200

Solve by factoring:

3x^2-7x=0

x=0, x=7/3

300

Solve by factoring:

7x^2-78x+11=0

x=1/7, x=11

400

Solve the system of equations.

3x-4y=7

2x+y=12

(5,2)

500

Solve the system.

4x+5y=40

3x-2y=7

(5,4)

Challenge

100

Find the ratio of the volumes.

8/27

200

Solve the system.

{(x+y=1),(2x+5y=-6):}

(-1/8,-9/8)

300

Find the radius of the circle. Use  

 pi~~22/7 

 

r = 35

400

Express x in terms of a, b, c, d, and e.

a(x-b)+c(x+d)=e

x=(e+ab-cd)/(a+c)

500

(6x^2-28x-10)/(6x^=24x-270

(3x+1)/(3(x+9)