math semester 1 unit 2

A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50. Which value could replace x on the table? (4 - g) 1.5 (4 - g) + 1.5 4g - g(1.5) (4 - g)g

(4 - g) 1.5

Maki uses 20 gallons of a solution with an unknown ethanol concentration and 60 gallons of a 12% ethanol solution to make 80 gallons of a 10% solution. The table shows the amount of each solution. What is the value of x, the concentration of the unknown ethanol solution? 0.02 0.04 0.05 0.08

0.04

A chemist mixes 4 liters of one acid solution with 10 liters of a 40% solution, resulting in a 30% acid solution. The table shows the amount of each solution used. What is the value of x, the acid concentration of the first solution? 0.05 0.10 0.15 0.20

0.05

Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors? 0.15(40) + 0.6x = 0.25(40 + x) 0.15(40) + 0.6(x - 40) = 0.25(x) 0.15(40) + 0.6x = 0.25(40 - x) 0.15(40) + 0.6(x + 40) = 0.25(x)

0.15(40) + 0.6(x - 40) = 0.25(x)

Giuliana has 22 quarters and dollar coins worth a total of $10.75. Which equation can be used to find d, the number of dollar coins Giuliana has? d - 22 + 0.25d = 10.75 0.25d + 22 - d = 10.75 0.25(22 - d) + d = 10.75 d + 0.25(d - 22) = 10.75

0.25(22 - d) + d = 10.75

Brass is made from a mixture of copper and other elements. A mixture that is 80% copper is combined with a mixture that is 60% copper, resulting in 100 pounds of brass that is 65% copper. Which equation can be used to find x, the amount of 60% mixture used to create the 65% mixture? 0.8(100 - x) + 0.6x = 100(0.65) 0.6(100 - x) + 0.8x = 100(0.65) 0.8(100) + 0.6x = 0.65(100 - x) 0.6(x) + 0.8(100 + x) = 0.65

0.8(100 - x) + 0.6x = 100(0.65)

Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture? 1/5 cup 1/4 cup 3/4 cup 4/5 cup

1/4 cup

Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the amount of each solution used. What is the value of x? 1 3 10 24

10

A collection of 108 coins containing only quarters and nickels is worth $21. Which value could replace q on the chart? 21 108 21 - n 108 - n

108-n

A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below. Which equation can be used to determine the amount of cherry juice in each mixture? 5c + 3(8 - c) = 36 5c + 3(8 - c) = 8 c + (8 - c) = 8 c + 5 = 5c

5c + 3(8 - c) = 36

Dr. Bhatia mixes 2 liters of a 5% saline solution with x liters of a 9% saline solution. The table shows the amount of each solution used. What is the value of x? 3 4 5 6

6

A 4% peroxide solution is mixed with a 10% peroxide solution, resulting in 100 L of an 8% solution. The table shows the amount of each solution used in the mixture. What is the value of z in the table? 6 7 8 9

8

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it. Which value could replace x in the table? 7 - m 23 - m 8(15 - m) 8(15) - m

8(15 - m)