Solve the equations. 2–7x – 10 = 11
> 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)
> Perform the multiplication or division indicated and collect the like terms. 9k(4 – 8k + 7k2)
> Evaluate expressions to six-figure accuracy. (0.001)–2
> Perform the multiplication or division indicated and collect the like terms. 4a(3ab – 5a + 6b)
> Simplify and collect the like terms. 6a – [3a – 2(2b – a)]
> Simplify and collect the like terms. 15x – [4 – 2(5x – 6)]
> Solve the equations. b 3 − 1 = 5
> Simplify and collect the like terms. 6a – [3a – 2b – a]
> Solve the equations. 6(y – 4) = 0
> Simplify and collect the like terms. 15x – [4 – 5x – 6]
> Simplify and collect the like terms. 4(a2 – 3a – 4) – 2(5a2 – a – 6)
> Solve the equations. 5 + 3x = 20
> Evaluate expressions to six-figure accuracy. 5–3/4
> Solve the equations. 2a – 9 = a + 1
> Simplify and collect the like terms. (–p) + (–3p) + (4p)
> Perform the multiplication or division indicated and collect the like terms. 6 a2b − 2ab2
> Mr. and Mrs. Smith give their three children, Matt, Pat, and Stanley, weekly allowances in the ratio 1 : 3 : 6. The total allowance for the three children is $90 a week. When Stanley got a full-time job, the Smiths decided to stop his allowance and divid
> Perform the multiplication or division indicated and collect the like terms. 18 x 2 3 x
> Winnings from a lottery ticket are to be divided among four co-workers in the ratio 1 : 2 : 3 : 4. If they collectively won $10,000, how much of the total winnings should each person receive?
> Shawn purchased a box of 1000 screws for a decking project that cost him $60.00 (before tax). When the project was completed he returned a part box of 400 screws. How much was the refund (without tax)?
> Perform the multiplication or division indicated and collect the like terms. 5(2x – y)(y + 3x) – 6x(x – 5y)
> Josie used half of her weekly paycheque to pay her cell phone bill. To earn more money, she sold her skateboard on Kijiji for $50. How much was her paycheque if she was left with $170 for the week?
> Perform the multiplication or division indicated and collect the like terms. 3(a – 2)(4a + 1) – 5(2a + 3)(a – 7)
> Evaluate expressions to six-figure accuracy. 73/2
> Samuel won $2000 in a lottery and gave $200 to each of his siblings. If he was left with $600, how many brothers and sisters does Samuel have?
> Perform the multiplication or division indicated and collect the like terms. (3p2 – 5p) + (–4p + 2)
> A computer salesperson earns $400 a week plus a 2% commission on all sales. If they earned $600 for the week, what was their level of sales?
> What is 25% of 80?
> A bookstore customer purchased a binder priced at $9.50 plus 4 pencils. The total cost of the order was $12.50 before taxes. How much did each pencil cost?
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 5 2 3
> Four buses were chartered to take 177 business students on a field trip. If 9 students travelled by car and the rest filled the buses, how many students were in each bus?
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 10 5
> Solve the equations. 15 p 2 = 7 p + 4
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 2 1 3
> Evaluate expressions to six-figure accuracy. (1 + 0.055)1/6 – 1
> The development of a new product will require the expenditure of $150,000 at the beginning of each of the next three years. When the product reaches the market at the beginning of Page 618 oYear 4, it is expected to increase the firm’s annual year-end pr
> Solve the equations. x + 2 x − 1 = 4
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 1 1 2
> Solve the equations. 2(4x – 5) = x – 3
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 3 4
> Solve the equations. 12 – 3x – 8 = –10x – 10
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 1 4
> Solve the equations. 4 = 10 − m 3
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 2 5
> What is 20% of 120?
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 1 10
> Evaluate expressions to six-figure accuracy. –272/3
> Jeffrey puts 20% of every paycheque into a savings plan and 50% of the money in the savings plan is in a Tax-Free Savings Account (TFSA). If he earns $1000 every paycheque, how much money is he putting into the TFSA?
> Evaluate: ( 2 − 4 ) 2 5 − 2 2
> Evaluate: 2 2 − 4 ( 4 − 2 ) 2
> Evaluate: (12 − 2) × (5 + 22) × 0
> Evaluate: 54 − 36 ÷ 4 + 22
> Evaluate: (18 ÷ 3 + 6) × 2
> Evaluate: 20 − (4 × 2 – 8)
> Evaluate: 18 ÷ (3 + 6) × 2
> Evaluate: (20 − 4) × 2 − 8
