tailieunhanh - Solve prpblem sat 1

Tham khảo tài liệu 'solve prpblem sat 1', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | PRACTICE TEST 1 15. 24 If the height of the prism is h then the length of the prism is four times that 4h. The length is one-third of the width so the width is three times the length 12h. The volume of the prism is equal to its length multiplied by its width multiplied by its height h 4h 12h 384 48h3 384 h3 8 h 2 The height of the prism is 2 in the length of the prism is 2 in 4 8 in and the width of the prism is 8 in 3 24 in. 16. 3 Solve 2a2 b 10 for b b 10 - 2a2. Substi- tute 10 - 2a2 for b in the second equation and solve for a -io 2a2 3a 11 -10 2a2 12a 44 2a2 12a - 54 0 2a - 6 a 9 0 2a - 6 0 a 3 a 9 0 a -9 The positive value of a is 3. 17. If one pound of almonds costs then 4 pounds of almonds costs 4 . If Stephanie pays a 5 tax then she pays in tax. Her total bill is . 18. 5 The circumference of a circle 2nr and the area of a circle nr2. If the ratio of the number of linear units in the circumference to the number of square units in the area is 2 5 then five times the circumference is equal to twice the area 5 2nr 2 nr2 10nr 2nr2 10r 2r2 5r r2 r 5 The radius of the circle is equal to 5. Section 3 Answers 1. b. Two numbers are in the ratio 4 5 if the second number is 5 times the value of the first number 1 is 5 times the value of 5. 2. a. Substitute -3 for x -2 -3 2 3 -3 - 7 -2 9 - 9 - 7 -18 - 16 -34 3. a. First convert the equation to slope-intercept form y mx b. Divide both sides of the equation by -3 -3y 12x -3 -3 -3 y -4x 1 The slope of a line written in this form is equal to the coefficient of the x term. The coefficient of the x term is -4 so the slope of the line is -4. 4. d. The equation of a parabola with its turning point c units to the right of the y-axis is written as y x - c 2. The equation of a parabola with its turning point d units below the x-axis is written as y x2 - d. The parabola shown has its turning point three units to the right of the y-axis and two units below the x-axis so its equation is