EOC Review

Eqns

100

Negative one is equal to one less than twice a number. Find the number.

x=0

200

Six is equal to four more than a number divided by negative five. Find the number.

x=-10

300

The quotient of a number increased by one and three is seven. Find the number.

x=20

400

One hundred twenty-three is equal to three times the difference of one and eight times a number. Find the number.

x=-5

500

Negative two hundred six is equal to seven increased by three times the sum of negative seven and eight times a number. Find the number.

x=-8

Writing Eqns

100

SLOPE-INT form

through (-1,-4), slope =7

y=7x+3

200

SLOPE-INT FORM

through (-2,3) and (2,-1)

y=-x+1

300

STANDARD FORM

through (-4,-3) and (0,-2)

x-4y=8

400

STANDARD FORM

through (-2,4); parallel to y= -9/2x+4

9x+2y=-10

500

STANDARD FORM

through (2,5); perpendicular to y= -1/4x+1

4x-y=3

Functions/Systems

100

Evaluate (x+y)(x+z); use x=3, y=4, and z=2

35

200

Solve.

y= -17/3x-8

y=-x+6

(-3,9)

300

Solve.

y= -7x+23

6x - y=16

(3,2)

400

Solve.

-2x+y=4

10x - 3y =-8

(1,6)

500

Solve.

-2x - 14y=1

5x+35y=20

no solution

Exp/Rad/Poly

100

4x³ 4y³ 4x^-4 y^-4

64 / xy

200

(2x^-4 y^-3)⁴ y⁴

16 / x¹⁶y¹⁶

300

3x²(7x+8)

21x³+24x²

400

(2k-3)(6k+2)

12x²-14x-6

500

(7x²-5x+8)(2x²+7x+1)

14x⁴+39x³-12x²+51x+8

Quadratics

100

Identify vertex.

f(x)=-4(x-4)²+5

(4,5)

200

Identify axis of symmetry.

f(x)=2(x+1)²-8

x=-1 (must have x=)

300

Identify axis of symmetry.

f(x)=2x²+8x-7

x=-2 (must have x=)

400

Solve.

x²+4x-32=0

x=-8,4

500

Solve.

11x²+66x-792=0

x=6,-12