Deck 8: Formulas, Proportion, and Variation

Question 1

If where =1,500 and =220, then

A)7,400
B)3,700
C)892
D)1,000

Answer 1

892

Question 2

The formula for finding simple interest is I = PRT, where I is the amount of interest charged, P is the principal amount borrowed, R is the percent of interest charged, and T is the length of time of the loan. If the interest is $315, the rate is 7.2% and the time is
years, how much money was borrowed?

Answer 2

$2,500

Question 3

Answer 3

40 K
.

Question 4

The distance formula is distance = rate × time. A cyclist enters a 50 km race. If the cyclist travels at an average rate of 33.2 kph, write an equation and solve to find how long will it take him to cross the finish line. Round to the nearest tenth.

Question 5

A)$49.50
B)$4.95
C)$495
D)$4,950

Question 6

The formula for finding simple interest is I = PRT, where I is the amount of interest charged, P is the principal amount borrowed, R is the percent of interest charged, and T is the length of time of the loan. If the amount of interest is $36.25, the principal is $250, and the time is 2 years, what interest rate was charged?

Question 7

If P = 2L + 2W, find P if L = 35 m and W = 15 m.

A)100 m
B)200 m
C)25 m
D)50 m

Question 8

The formula for simple interest is I = PRT, where I is the amount of interest, P is the principal amount borrowed, R is the percent of interest charges, and T is the length of time of the loan. If the interest is $414, the principal is $3,680, and the time is one and
one-fourth years, write an equation and solve to find the percent of interest charged.

Question 9

Using the formula , calculate the piston diameter, d, if the force, F, is 634 lb and the pressure, P, is 175 psi (pounds per square inch).

A)0.162 in.
B)0.324 in.
C)2.145 in.
D)4.601 in.

Question 10

A)98 in.
B)101 in.
C)97 in.
D)103 in.

Question 11

If P = 2L + 2W, find P if L = 27 ft. and W = 31 ft.

A)116 ft
B)62 ft
C)29 ft
D)58 ft

Question 12

The interest formula is I = PRT. You took out a loan with Commerce City bank for $40,000 at 8.25% interest and held the loan for 6 months. What interest should you be charged?

Question 13

A)1,939
B)5,743
C)8,000
D)969

Question 14

A)L = 97.71 in.
B)L = 102.86 in.
C)L = 96.91 in.
D)L = 64.5 in.

Question 15

Question 16

A)3,300
B)8,000
C)969
D)1,939

Question 17

A)3,700
B)2,663
C)6,363
D)892

Question 18

The formula for electrical power is where V is voltage, W is wattage and A is amperage. Find the voltage to the nearest hundredth needed for a circuit of 400 W with a current of 4.1 A.

A)0.01025 volts
B)1,640 volts
C)97.56 volts
D)395.9 volts

Question 19

The formula for voltage is
where V is the voltage, W is the wattage, and A is the amperage. Write an equation and solve to find the wattage if the voltage is 4.2V and the amperage is 12.5A

Question 20

The formula for simple interest is I = PRT, where I is the amount of interest, P is the principal amount borrowed, R is the percent of interest charges, and T is the length of time of the loan. If the interest is $306, the principal is $2,550, and the rate is 8%, write an equation and solve to find the length of time of the loan.

Question 21

The formula for volume of a solid rectangular figure is V = lwh (length × width × height). If the volume of a mailing container must be 400 in.3, its length 8 in. and its width 10 in., find its height.

Question 22

Question 23

Find the missing value: I = PRT. Find I if P = $400, R = 0.08, and T = 2.

Question 24

Find the missing value: P = 2l + 2w. Find P if w = 8 and l = 2.

Question 25

The formula for volume of a solid rectangular figure is V = lwh (length × width × height). If the volume of a mailing container must be 360 in.3, its length 12 in. and width 6 in., what must its height be?

Question 26

Solve the given problem, using decimal equations: If you drove 487 miles at 60 miles per hour, how long did your trip take?

A)427 hours
B)5.53 hours
C)0.12 hours
D)8.12 hours

Question 27

Find the missing value: I = PRT. Find I if P = $1,000, R = 0.05, and T = 5.

Question 28

Solve the given problem, using a decimal equation and the formula I = PRT: How much money could you borrow at 6.5% for 4 years if you were to pay $1,955.20 in interest?

A)$26.07
B)$7,520
C)$752
D)$260.69

Question 29

Find the missing value: y = mx + b. Find y if m = 4, x = 5, and b = 10.

Question 30

Find the missing value: P = 2l + 2w. Find P if w = 6 and l = 4.

Question 31

Solve the given problem: If electrical resistance in ohms = voltage in volts ÷ current in amperes, find the resistance for a motor with a voltage of 12.4 volts requiring 2.4 amps.

A)0.2 ohms
B)29.8 ohms
C)14.8
D)5.2 ohms

Question 32

Find the missing value: y = mx + b. Find y if m = 5, x = 2, and b = 3.

Question 33

Find the missing value: C = S + M. Find M if C = 70 and S = 45.

Question 34

A)0.17 ohms
B)5 ohms
C)6 ohms
D)1 ohms

Question 35

Find the missing value: C = S + M. Find M if C = 40 and S = 25.

Question 36

If distance = rate × time, how long did a trucker drive if she traveled 785.3 miles at 60 miles per hour?

A)7.6 hours
B)13.1 hours
C)6 hours
D)130.8 hours

Question 37

Given I = PRT, find interest if P = $1,000, R = 8.25% and T = 4 years.

A)$3,300.00
B)$33.00
C)$330.00
D)$33,000.00

Question 38

If force = pressure × area, how many pounds of force are produced by a pressure of 28 psi (pounds per square inch)on a piston whose surface area is

A)47.6 lb
B)16.5 lb
C)26.3 lb
D)29.7 lb

Question 39

Samantha borrowed money to buy lawn equipment to start her new lawn service business. She borrowed $800 for 9 months and paid $70.50 in interest. What was the rate of interest?

A)11.75%
B)6.5%
C)9.8%
D)9.79%

Question 40

What is the percent efficiency (E)of an engine if the input (I)is 20,000 calories and the output (P)is 6,200 calories? Use the formula:

A)1.45
B)0.69
C)2.23
D)0.45

Question 41

A)$230.77
B)$51.67
C)$62.40
D)$4,333.33

Question 42

Rearrange the formula to solve for the indicated letter: 5F = 9C + 160, for C

Question 43

Rearrange the formula to solve for the indicated letter: G = F + 2E, for F

Question 44

Find the length of a rectangular work area if the perimeter is 64 in. and the width is 9 inches. Use the formula P = 2(l + w).

A)46 in.
B)23 in.
C)7.1 in.
D)55 in.

Question 45

Solve for i in A = P(1 +ni).

A)
B)
C) i=A - P -Pn
D)

Question 46

Rearrange the formula to solve for the indicated letter: y = mx + b, for m

Question 47

solve for n in

A) n= m-Kp
B) n= Kp-m
C) n= Kp+m
D)

Question 48

Given what is R2 if V1 =5V, Vt= 12V, and R1 = 10 kW?

A)
B) 14 kW
C) kW
D) 34 kW

Question 49

Using the markup formula M = S - C, find the selling price (S)if the markup (M)is $21.50 and the cost (C)is $58.

A)$3.70
B)$3.62
C)$79.50
D)$36.50