NAME ________________________________________________ DATE ____________________ PERIOD __________

SCORE __________ Practice A.12(E)

_____

1 The volume of a box with a square base is

V = x2h, where x is the length of the side of

the base and h is the height of the box. Solve

the equation for x.

A x = √

�

V _ h

B x = ( V _ h )

2

C x = √ �� Vh

D x = (Vh) 2

2 Solve the equation y = mx + b for m.

F m = y - b - m

G m = (y - b)m

H m = y + b

_ x

J m = y - b

_ x

3 Solve the equation mp + nq = 1 for q.

A q = 1 _ n + mp

B q = 1 _ n - mp

C q = 1 + mp

_ n

D q = 1 - mp

_ n

4 The equation for Newton’s universal law of

gravitation is G = F m

1m

2 _

r2 , where m

1 and m

2

are masses, G is the gravitational constant,

and r is the distance between the centers of

the masses. Solve for m1.

F m1 =

Gm2 _

Fr2

G m1 =

r2

_ GFm

2

H m1 =

Gr2

_ Fm2

J m1 =

(G - F)r2

_ m2

5 Shannon’s juggling theorem states that

(F + D)H = (V + D)N,

where F is how long a ball spends in the air,

D is how long it remains in the hand, H is the

number of hands juggling, V is how long the

hand spends empty, and N is the number of

balls juggled. Solve the equation for V.

A V = (F + D) H _ N - D

B V = (F + D) - N - D

C V = F _ N

D V = (F + D)H - D

__ N

Multi-Step Example

Solve the equation T = 2LP + 4KP for the variable P.

Since P is in two terms on the right side of the equation, use the Distributive Property first.

T = 2LP + 4KP Original equation

T = P(2L + 4K) Distributive property

T _ 2L + 4K

= P Divide each side by 2L + 4K.

Solve mathematic and scientific formulas, and other literal equations, for a specified

variable.

Mastering the TEKS, Algebra 1 97

Program: Mastering TEKs Component: ALG1First Round

Vendor: SPi Global Grade: A12(E)

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097_098B_ALG1_A_PRA_T_A12E_675315.indd 97 9/30/14 10:40 PM

NAME ________________________________________________ DATE ____________________ PERIOD __________

SCORE __________Practice A.12(E) (continued)

_____

P

6 The volume of the cone shown below is

V = 1 _

3 r2h.

h

r

Solve the equation for h.

F h = V _

3r2

G h = √

��

3V

_ h

H h = 3V

_ r2

J h = 3Vr2

7 Einstein’s famous equation E = mc2 relates

energy, E, to an objects mass, m, and the

speed of light, c. Solve the equation for c.

A c = ( E _ m )

2

B c = √

�

E _ m

C c = √ �� Em

D c = (Em)2

8 The surface area of the rectangular prism

below is A = 2LW + 2LH + 2WH.

LW

H

Solve the equation for H.

A H = A - 2LW _ 2L + 2W

B H = A + 2LW

_ 2L + 2W

C H = A - 2LW _

4LW

D H = A _

2L + 2W - 2LW

9 The perimeter of a rectangle with length L and

width W is P = 2L + 2W. Solve the equation

for L.

A L = P + 2W _

2

B L = P - 2W _

2

C L = P _ 2

- 2W

D L = P _ 2

+ 2W

10 The Pythagorean theorem states

a2 + b2 = c2

where a and b are the lengths of the legs of a

right triangle and c is the hypotenuse. Solve

the equation for b.

F b = c - a

G b = (c2 - a2)2

H b = √ ��� c2 - a2

J b = √ ��� c2 + a2

11 Solve the equation 10x + 9y = 5z - 8w for x.

What is the coefficient of w?

Record your answer and fill in the bubbles on

your answer document.

12 Solve the equation V - E + F = 2 for E.

A E = V + F - 2

B E = V - F + 2

C E = F - V - 2

D E = F - V + 2

Mastering the TEKS, Algebra 198

Program: Mastering TEKs Component: ALG1First Round

Vendor: SPi Global Grade: A12(E)

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097_098B_ALG1_A_PRA_T_A12E_675315.indd 98 9/30/14 10:40 PM