Deck 2: Review and Applications of Algebra

Question 1

Simplify and collect like terms:

Answer 1

7x² + 7xy - 4y²

Question 2

Simplify and collect like terms:

Answer 2

2m³ - 4m² - 4m + 19

Question 3

Simplify and collect like terms:

Answer 3

-0.7x + 3.45

Question 4

Simplify and collect like terms:

Question 5

Simplify and collect like terms:

Question 6

Simplify, collect like terms and maintain 5-figure accuracy:

Question 7

Simplify, collect like terms and maintain 5-figure accuracy:

Question 8

Simplify, collect like terms and maintain 5-figure accuracy:

Question 9

Simplify, collect like terms and maintain 5-figure accuracy:

Question 10

Simplify, collect like terms and maintain 5-figure accuracy:

Question 11

Perform the operation indicated and collect like terms:

Question 12

Perform the operation indicated and collect like terms:

Question 13

Perform the operation indicated and collect like terms:

Question 14

Perform the operation indicated and collect like terms:

Question 15

Perform the operation indicated and collect like terms:

Question 16

Perform the operation indicated and collect like terms:

Question 17

Perform the operation indicated and collect like terms:

Question 18

Perform the operation indicated and collect like terms:

Question 19

Perform the operation indicated and collect like terms:

Question 20

Evaluate the following expression for the given value of the variable: 3d² - 4d + 15 for d = 2.5

Question 21

Evaluate the following expression for the given value of the variable: 15g -9h + 3 for g = 14, h = 15

Question 22

Evaluate the following expression for the given value of the variable: 7x(4y - 8) for x = 3.2, y = 1.5

Question 23

Evaluate the following expression for the given value of the variables: I ÷ Pr for P = $500, I = $13.75, r = 0.11

Question 24

Evaluate the following expression for the given value of the variables and calculate to the cent:
for r = 0.095, I = $23.21,

Question 25

Evaluate the following expression for the given value of the variables and calculate to the cent: for N = $89.10, d = 0.10

Question 26

Evaluate the following expression for the given value of the variable sand calculate to the
cent: for L = $490,

Question 27

Evaluate the following expression for the given value of the variables and calculate to the cent: for P = $770, r = 0.13,

Question 28

Evaluate the following expression for the given value of the variables and calculate to the cent: for S = $2500, r = 0.085,

Question 29

Evaluate the following expression for the given value of the variable: for i = 0.0225, m = 4

Question 30

Evaluate the following expression for the given value of the variables and calculate to the cent: for P = $1280, i = 0.025, n = 3

Question 31

Evaluate the following expression for the given value of the variables and calculate to the cent:
for S = $850, i = 0.0075. n = 6

Question 32

Evaluate the following expression for the given value of the variables and calculate to the
cent: for R = $550, i = 0.085, n = 3

Question 33

Evaluate the following expression for the given value of the variables and calculate to the
cent: for R = $910, i = 0.1038129, n = 4

Question 34

Evaluate the following expression for the given value of the variables and calculate to the
cent: for R = $630, i = 0.115, n = 2

Question 35

Evaluate the following expression for the given value of the variables and calculate to the cent:
+ for P = $470, S = $390, r = 0.075

Question 36

Use formula (6-1) to calculate P if r = 0.05, i = $6.25, and t = 0.25.

Question 37

Use formula (13-1) to calculate i if PMT = $900 and PV = $150,000. (There are several instances in our formulas where a two- or three-letter symbol is used for a variable. This is usually done to make the symbol more suggestive of the quantity it represents. For example, we use PMT to represent the amount of each payment in a series of regular payments. The symbol P has already been taken to represent another quantity that begins with "p.")

Question 38

Use formula (6-2) to calculate P if r = 0.004, S = $3626, and t = 9.

Question 39

Use formula (4-1) to calculate L if N = $891 and d = 0.10.

Question 40

Use formula (4-1) to calculate d if N = $410.85 and L = $498.00.

Question 41

Use formula (6-2) to calculate t if r = 0.0025, S = $5100, and P = $5000.

Question 42

Formula (5-3) contains three two-letter symbols. Use it to calculate CM if NI = $15,000, X = 5000, and FC = $60,000.

Question 43

Use formula (5-3) to obtain X if NI = -$542.50, CM = $13.50, and FC = $18,970.

Question 44

Use formula (4-2) to calculate L if N = $1468.80, d1 = 0.20, d2 = 0.15, and d3 = 0.10.

Question 45

Use formula (4-2) to calculate d₂ if N = $70.29, L = $99.99, d₁ = 0.20, and d₃ = 0.05.

Question 46

Use the formula FV = PV(1 + i₁)(1 + i₂)(1 + i₃) to determine i₁ if PV = $1000, FV = $1094.83, i₂ = 0.03, i₃ = 0.035.

Question 47

Use formula (10-1) to obtain PMT if FV = $1508.54, n = 4, and i = 0.05.

Question 48

Use formula (10-2) to obtain PMT if PV = $6595.20, n = 20, and i = 0.06.

Question 49

Use the formula FV = PV(1 + i)ⁿ to calculate i if PV = $2000, FV = $9321.91, and n = 20.

Question 50

Use the formula PV = FV(1 + i)^-n to calculate i if PV = $5167.20, FV = $10,000, and n = 15.

Question 51

Rearrange formula (6-1) to isolate t on the left side.

Question 52

Rearrange formula (13-1) to isolate i on the left side.

Question 53

Rearrange formula (4-1) to isolate d on the left side.

Question 54

Rearrange formula (5-3) to isolate CM on the left side.

Question 55

Rearrange formula (5-3) to isolate X on the left side.

Question 56

Rearrange formula (6-2) to isolate r on the left side.

Question 57

Rearrange formula (6-2) to isolate t on the left side.

Question 58

Rearrange formula (4-2) to isolate d1 on the left side.

Question 59

Rearrange formula (4-2) to isolate d3 on the left side.

Question 60

Rearrange the formula FV = PV(1 + i)ⁿ to isolate PV on the left side.

Question 61

Rearrange the formula FV = PV(1 + i)ⁿ to isolate i on the left side.

Question 62

Simplify:

Question 63

Simplify:

Question 64

Simplify:

Question 65

Simplify:

Question 66

Question 67

Question 68

Question 69

Question 70

Question 71

Simplify:

Question 72

Simplify:

Question 73

Simplify:

Question 74

Simplify:

Question 75

Simplify:

Question 76

Simplify:

Question 77

Simplify:

Question 78

Evaluate to six-figure accuracy:

Question 79

Question 80