EOC Math review

Linear Functions

100

What is the value of y? 13y+48=8y-47

y=-19

200

Solve and graph: 2x+4>36

x>16

300

What is the value of x? 3|x-5|=12

x=9, x=1

400

Solve: -2(x+3) <_ 54

= x>_ -30

500

The high school band is expecting to take at least 120 students to a regional band competition. The school rents some passenger vans that can transport 8 students. Other students, in groups of 4, will need to ride in personal vehicles driven by parents. Write an inequality that shows all the possible combinations of vans and cars that could be used to drive students to the competition.

= 8x+4y >_ 120

Polynomials

100

Add: (4x³-2x²+1) + (7x²+12x)

=4x³+5x²+12x+1

200

Subtract: (4z⁶-3z²+2z) - (-10z⁶+7z²-8)

=14z⁶-10z²+2z+8

300

Multiply: 12y(3y⁴-7y²+1)

= 36y⁵-84y³+12y

400

Multiply: (x²+x-2)(3x²-8x-7)

= 3x⁴-5x³-21x²+9x+14

500

Divide: (12x³y⁷-9x²y³+3xy²) / (-3xy²)

= -4x²y⁵+3xy-1

Unit Circle

100

What is the cosine of 120 degrees?

 What is -1/2.

200

What is the radian of 60 degrees?

(pi)π/3

300

Find the approximate value and round to the 2nd decimal place of Sin 77.

=0.97

400

Draw 315 degrees and find the exact value for the cosine and sine. Round to the nearest tenth.

Sine value: -0.7

Cosine value: 0.7

500

Draw 225 degrees and find the exact value for the cosine and sine, and find the radian of 225 degrees.

Sine value: -0.7

Cosine value: -0.7

Radian: 5π/4

Rational Functions

100

(12x+7)/9 + 14x/9

= (26x+7)/9

200

Multiply: ((5r²-25r)/3r) ((3r)/30r²-5r)

(r-5)/(6r-1)

300

Multiply: ((x+1)/3) ((x+3)/3) 

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

400

(x²+8x+15)/9x divided by (x²+6x+5)/9x

= (x+3)/(x+1)

500

(5x²+x)/x²-1 divided by (10x²+2x)/(4x²+x-5)

= (4x+5)/2(x+1)

Geometry

100

If the formula for the volume of a cone is v=πr²h/3, what is the volume of a cone if the radius is 3 cm, and the height is 4 cm?

=37.7

200

Using the Pythagorean theorem if one leg measures 5cm and the other leg measures 12 cm what is the hypotenuse?

=13 ft

300

Using the formula for the volume of a cylinder is v=πr²h if the diameter is 16 cm and the height is 15cm what is the volume of the cylinder?

=3015.93

400

What does every angle measure in an equilateral triangle?

60 degrees

500

Using the Pythagorean theorem if the hypotenuse is 13 ft and the adjacent leg equals 12 ft what is the remaining leg?

=5ft