EOC Review

Linear Functions

100

-2(-x+1)+3x+3=26

x=5

200

53=3/8c+17

c=96

300

Solve the following equation for b.

fb+3b=d

b=d/(f+3)

400

What is the equation to a line PARALLEL to y=3x+7 and passes through the point (1,1)?

y=3x-2

500

What is the equation PERPENDICULAR to the line passing through y=-4x+2 and passes through the point (4,6)?

y=1/4x+5

Exponential Functions

100

(3x²)³

9x⁶

200

What is the exponential equation for a function that has a y-intercept of (0,2) and has a common ratio of 3?

hint: y=ab^x

y=2(3)^x

300

Identify the asymptote for the following function:

y=(1/2)^x-5

y=-5

400

The original price of a tractor was $45,000. The value of the tractor DEPRECIATES at a steady rate of 12% per year. The tractor is 5 years old. What is the price of the tractor now?

y=C(1+r)^t      y=C(1-r)^t       A=P(1+r/n)^nt

$23,747.94

500

You deposit $500 in a savings account that earns 7% interest compounded monthly. What is the balance after 2 years?

y=C(1+r)^t      y=C(1-r)^t       A=P(1+r/n)^nt

$574.90

Quadratic Functions

100

What is the axis of symmetry of the following equation?

y=x²+2x-5

x=-1

200

What is the vertex of the following equation?

y=(x-1)²-3

(1,-3)

300

What are the transformations of the following graph?

y=-2x²-4x+5

Hint: reflection, stretch/shrink, up/down, left/right

reflection

stretch 2

up 8

left 1

400

What are the roots of the following graph?

y=x²+2x-3

(-3,0) and (1,0)

500

What is the shape of quadratic graph (math language)?

parabola

Systems of Equations

100

What is the solution to the system of equations?

y=2x-3

y=-1/3x+4

(3,3)

200

Solve the system of equations.

-3x+2y=14

4x-2y=-16

(-2,4)

300

Is (-2,0) a solution to the following systems of equations?

y<2x

y>x+1

NO

400

What are the solutions to the following system of equations?

y=2x-1

y=-x²+2

(-3,-7) and (1,1)

500

Solve the following system of equations.

x=3y

2x+5y=22

(6,2)

Sequences

100

Fill in the next three terms of this sequence:

18, 11, 4, ...

-3, -10, -17

200

Write the equation of the arithmetic sequence:

1, 4, 7, ...

hint: a_n=a₁+(n-1)d

a_n=3n-2

300

Write the equation for the geometric sequence:

-1, 6, -36, 216, ...

hint: g_n=g₁(r)^n-1

g_n=-(-6)^n-1

400

Determine if the following sequence is arithmetic, geometric, or neither.

5, 20, 80, 320, ...

geometric

500

Determine if the following sequence is arithmetic, geometric, or neither.

1, 3, 6, 10, ...

Neither