EOC Equations (Rearrange & Compound Interest)

P = 2W + 2L

The perimeter for a rectangle is found with the equation above. Rearrange this to solve for w.

(select two answers below)

Answer explanation

You can Google examples for extra practice; this becomes easier with practice

v_f = v_i + at

This is a physics equation. Rearrange this to solve for t.

Answer explanation

You can Google examples for extra practice; this becomes easier with practice

2y + 6x = 4

What is the slope for the equation?

Mathematical Equivalence

ON

Answer explanation

Original equation:

2y + 6x = 4

----- ----- ----- -----

Subtract to simplify:

2y = 4 - 6x

----- ----- ----- -----

Divide to simplify:

y = 2 - 3x

----- ----- ----- -----

Slope is -3

2y + 6x = 4

What is the y-intercept for the equation?

Mathematical Equivalence

ON

Answer explanation

Original equation:

2y + 6x = 4

----- ----- ----- -----

Subtract to simplify:

2y = 4 - 6x

----- ----- ----- -----

Divide to simplify:

y = 2 - 3x

----- ----- ----- -----

y-intercept is 2

A = πr²

The formula for the area of a circle is shown above. Which equation shows the formula in terms of r?

Answer explanation

Notice that third line includes a positive and negative solution

----- ----- ----- -----

Because of what we are measuring, we only keep the positive solution

V = πr²h

The formula for the volume of a cylinder is shown above. Solve for variable r.

Answer explanation

Notice that third line includes a positive and negative solution

----- ----- ----- -----

Because of what we are measuring, we only keep the positive solution

If a cylinder has a volume of 200π cubic inches and height of 8 inches, what is the radius of the cylinder?

(do not include units in answer)

Mathematical Equivalence

ON

Answer explanation

The π symbol is on both the top and bottom of the fraction, so it will dissapear

d = ½at²

The above formula is used in physics. Rearrange this to solve for t.

Answer explanation

Because of what we are measuring, we only have a positive solution at the end

An amount of $1,000 is deposited in a bank account that earns 4% interest compounded once a year. If there are no withdrawals or deposits, what will the balance of the account be after 3 years?

(round to nearest cent)

(do not include dollar sign or commas in answer)

Answer explanation

An amount of $1,000 is deposited in a bank account that earns 4% interest compounded semi-annually. If there are no withdrawals or deposits, what will the balance of the account be after 5 years?

(round to nearest cent)

(do not include dollar sign or commas in answer)

Answer explanation