Express ratios as an equivalent ratio whose smallest term is 1. 25 : 2.5
> Suppose an item that originally had a 40% rate of markup on cost is marked down 40%. Is its reduced selling price equal to C? Explain.
> Does a retailer break even if an item is sold at the cost C?
> Solve the equations. x + 2 5 = x + 0.8
> Under what unusual circumstance will the rate of markup on cost equal the rate of markup on selling price?
> Is it possible for the rate of markup on cost to exceed 100%? Explain.
> Is it possible for the rate of markup on selling price to exceed 100%? Explain.
> For a given dollar amount of markup, which will be the larger number: the rate of markup on cost or the rate of markup on selling price? Explain.
> If currency R strengthens relative to currency S, will the exchange rate in terms of units of S per unit of R increase or decrease? Explain.
> If currency G weakens relative to currency H, will the exchange rate in terms of units of G per unit of H increase or decrease? Explain.
> If the exchange rate in terms of units of currency P per unit of currency Q increases, which currency weakened? Explain.
> If the exchange rate in terms of units of currency N per unit of currency M decreases, which currency strengthened? Explain.
> If a series of compound percent changes are all negative, is the overall percent decrease larger or smaller (in magnitude) than the sum of the individual percent changes? Justify your answer.
> If a series of compound percent changes are all positive, is the overall percent increase larger or smaller than the sum of the individual percent changes? Justify your answer.
> Solve the equations. 1.25y – 20.5 = 0.5y – 11.5
> Is it possible for a capital loss to be worse than −100%? Explain or give an example.
> Is it possible for the capital gain yield to exceed 100%? Explain or give an example.
> Can the income yield from an investment be negative? Explain or give an example.
> If the percent rate is 0.01%, what fraction is the portion of the base?
> If the percent rate is 1000%, what multiple is the portion of the base?
> What is the percent rate if a quantity is 1 1000 of the base?
> Evaluate: 0 + 3 × 3 − (32 + 10)
> Evaluate: 12 − 2 × 5 + 22 × 0
> Evaluate: 0 + 3 × 3 − 32 + 10
> Evaluate: 2 × (2 + 4) − 8
> Solve the equations. 3 .1t + 145 = 10 + 7.6t
> The introduction of a new product will require an initial investment of $550,000. The annual profit expected from the new product is forecast to be $100,000 for Years 1 to 3, $70,000 for Years 4 to 6, and $50,000 for Years 7 to 12. Should the firm procee
> Evaluate: (10 + 10) × 0
> Evaluate: 2 × 2 + 4 − 8
> Evaluate 10 + 10 × 0
> Calculate the missing values. List Price ($) = ? Discount rate (%) = 50 Discount amount ($) = ? Net price ($) = 120
> Calculate the missing values. List Price ($) = ? Discount rate (%) = ? Discount amount ($) = 20 Net price ($) = 60
> Calculate the missing values. List Price ($) = ? Discount rate (%) = ? Discount amount ($) = 20 Net price ($) = 60
> Calculate the missing values. List Price ($) = ? Discount rate (%) = 25 Discount amount ($) = 50 Net price ($) = ?
> Calculate the missing values. List Price ($) = ? Discount rate (%) = 20 Discount amount ($) = 20 Net price ($) = ?
> Calculate the missing values. List Price ($) = 50 Discount rate (%) = ? Discount amount ($) = ? Net price ($) = 45
> Calculate the missing values. List Price ($) = 200 Discount rate (%) = ? Discount amount ($) = ? Net price ($) = 150
> Solve the equations. 5(2 – c) = 10(2c – 4) – 6(3c + 1)
> Calculate the missing values. List Price ($) = 900 Discount rate (%) = 25 Discount amount ($) = ? Net price ($) = ?
> Calculate the missing values. List Price ($) = ? Discount rate (%) = 10 Discount amount ($) = ? Net price ($) = 900
> Calculate the missing values. List Price ($) = 300 Discount rate (%) = 33 13 Discount amount ($) = ? Net price ($) = ?
> Mr. and Mrs. Bond pay their three children allowances that are proportional to their ages. If their children’s ages are in the ratio 1 : 2 : 6 how much should the youngest and oldest children get as an allowance if the middle child gets $5.00 a week?
> A recipe for pasta sauce makes 6 servings with 3 cups of crushed tomatoes. How many cups of tomatoes would be needed to make 2 servings?
> Solve the proportions for the unknown quantities. m : 3 = 1 2 : 1 4
> Solve the proportions for the unknown quantities. 5 : 15 : 50 = 3 : j : k
> Solve the proportions for the unknown quantities. 3 : z = 1.5 : 4
> Solve the proportions for the unknown quantities. 7 : 2 = 21 : x
> Express ratios as an equivalent ratio whose smallest term is 1. 3 2 : 1 4
> Solve the equations. 10a + 10 = 12 + 9a
> Express ratios as an equivalent ratio whose smallest term is 1. 35 : 7 : 77
> Express ratios in its lowest terms. 1 3 : 1 9
> Express ratios in its lowest terms. 1 2 : 1 4
> Express ratios in its lowest terms. 0.2 : 2 : 0.02
> Express ratios in its lowest terms. 0.2 : 0.8
> Express ratios in its lowest terms. 20 : 4 : 36
> Lalita owns a 4-kg Chihuahua, a 28-kg Poodle, and a 48-kg German Shepherd. What is the ratio for the weights of the Poodle to the Chihuahua to the German Shepherd?
> A recipe for macaroni and cheese calls for 3 cups of macaroni and 1.5 cups of cheese for 6 servings. Write the ratio for servings to cheese to macaroni.
> Express ratios in its lowest terms. 5 : 75
> Evaluate expressions to six-figure accuracy. 1.03 3
> Calculate the missing values: Initial value = ? Final Value = $50 Percent change = 100
> Calculate the missing values: Initial value = $400 Final Value = ? Percent change = -50
> Calculate the missing values: Initial value = 300 cm Final Value = ? Percent change = 200
> Calculate the missing values: Initial value = 80 g Final Value = ? Percent change = 50
> Calculate the missing values: Initial value = $200 Final Value = ? Percent change = -25
> Calculate the missing values: Initial value = 50 kg Final Value = 0 kg Percent change = ?
> Calculate the missing values: Initial value = 25 kg Final Value = 75 kg Percent change =?
> Calculate the missing values: Initial value = $100 Final Value = $90 Percent change = ?
> Calculate the missing values: Initial value = ? Final Value = $300 Percent change = -50
> Calculate the missing values: Initial value = $100 Final Value = $110 Percent change = ?
> Evaluate expressions to six-figure accuracy. (1.005)3 (1.005)–6
> Simplify: (t6)1/3
> Simplify: (y3)3
> Simplify: (x4)7
> Simplify: (1 + i) × (1 + i)n
> Simplify: (1 + i)4 × (1 + i)9
> Simplify: h7 ÷ h–4
> Simplify: b10 ÷ b6
> Simplify: (x6)(x–4)
> Simplify: ( − r 3 ) ( 2 r ) 4 ( 2 r − 2 ) 2
> Simplify: 4 r 5 t 6 ( 2 r 2 t ) 3
> Evaluate expressions to six-figure accuracy. (1.0085)5 (1.0085)3
> Simplify: ( 1 + i 3 i ) 3
> Simplify: [2(1 + i)]2
> Simplify: ( x 5 ) 6 x 9
> Simplify: ( x 5 ) ( x 6 ) x 9
> Simplify: (n0.5)8
> Simplify: a2 × a3
> Simplify and collect the like terms. 2(7x – 3y) – 3(2x – 3y)
> Simplify and collect the like terms. (7m3 – m – 6m2 + 10) – (5m3 – 9 + 3m – 2m2)
> Simplify and collect the like terms. (6x2 – 3xy + 4y2) – (8y2 – 10xy – x2)
> Simplify and collect the like terms. 1 – (7e2 – 5 + 3e – e3)
> Evaluate expressions to six-figure accuracy. 0.893–1/2
> Simplify and collect the like terms. 4x2y + (–3x2y) – (–5x2y)
> Simplify and collect the like terms. (5s – 2t) – (2s – 4t)
> Simplify and collect the like terms. 4x2y – 3x2y + (–5x2y)
> Perform the multiplication or division indicated and collect the like terms. (4r – 3t) – (2t + 5r)
> Perform the multiplication or division indicated and collect the like terms. (3p2 – 5p)(–4p + 2)
> Simplify and collect the like terms. 5s – 2t – 2s – 4t
> Perform the multiplication or division indicated and collect the like terms. (4r – 3t)(2t + 5r)
> Perform the multiplication or division indicated and collect the like terms. − ( p 2 − 4 p q − 5 p ) ( 2 q p )
> Perform the multiplication or division indicated and collect the like terms. –5xy(2x2 – xy – 3y2)
