Each answer is listed below. For questions with more than one part, the answers are separated with a semicolon (;).
[1] 2 x 3 / (4 - 5); (2 + 4) / 2 x 7
[2] (1 x 12 + 5) / 9 or 17/9
[3] $40,768
[4] $4.05; $5.79; $6.45
[5] Starting Numbers: 9, 1, -2.5, x
Subtract 3: 6, -2, -5.5, x-3
Multiply by 2: 12, -4, -11, 2(x - 3)
Add 4: 16, 0, -7, 2(x-3) +4
Divide by 2: 8, 0, -3.5, (2(x-3) + 4)/2
Subtract original number: -1, -1, -1, (2(x - 3) + 4)/2 - x
[6] 64
[7] x = 34
[8] 7
[9] [C]
[10] 2
[11] 12, 14, 16; 22
[12] 520
[13] 16.9, 10, 3.1, -3.8, -10.7, -17.6
[14] {Ans + 1, Ans + 2} Enter, Enter
[15] Graph with points at (0, -5), (1, -3), (2, -1), (3, 1), and (4, 3)
[16] Graph of a line with points at (0, 2), (2, 5), (3, 7), etc
[17] [B]
[18] (-2, 4), (0, 2), (2, 0), (4, -2) and (6, -4); (0, 2)
[19] y = -1 - 2x
[20] y = -5 - 3x
[21] The y-intercept is the constant.
[22] y = 15 + 2x, y-intercept = 15
[23] Input: -3, 4, 6
Output: -7, 0, 2
[24] Row 2: 5, -16.7, 2, 0.92, 0.46
Row 3: 9, -14.86, 4, 1.84, 0.46
Row 4: 16, -11.64, 7, 3.22, 0.46
Row 5: 19, -10.26, 3, 1.38, 0.46
Row 6: 25, -7.5, 6, 2.76, 0.46
Row 7: 26, -7.04, 1, 0.46, 0.46
[25] Start at 1. Rule: +2
[26] 4 = 2x; 2 = x
[27] add 9 to both sides; multiply both sides by 8
[28] h = (2A)/b
[29] a = 8.9
[30] j = 6
[31] x = -3
[32] x = 343
Algebra II - Chapter 4 Review KEY
[1] 6:40 pm
[2] Sample answer: most people buy plants in the spring and early summer. The sales for the nursery rise in the spring and summer and fall off dramatically in the fall and winter.
[3] The car's speed is first measured at 3 mph, then the car increases speed to 5 mph, decreases speed to 2 mph, and then stays at that speed.
[4] graph Kim's distance v time or speed v time.
[5] no relation
[6] linear; y = 5x - 4
[7] 20
[8] x = 3, x = 5
[9] Yes
[10] Yes
[11] y = x + 2
[12] -7; -12; -7x - 12
[13] [B]
[14] 4x - 3y - 21 = 0
[15] It is translated right 3 units and down 2 units.
[16] g(x) = x - 13; The graph of g(x) is the graph of f(x) translated down 18 units.
[17] (0, 0)
[18] y = (x + 7)^2
[19] Right 2, up 4
[20] Graph of the square root of x moved down 2 units
[21] The graph of the square root of x moved left 3 and down 2; the graph of the square root of x reflected across the x-axis, reflected across the y-axis, then moved down 4.
[22] The graph of the line reflected across the x axis. The new lines equation would be y = 2x + 4
[23] g(x) = -(x + 1)
[24] the graph of the absolute value of x moved left 2 and down 5
[25] g(x) is the reflection of f(x) across x-axis.
[26] graph of the absolute value of x reflected across the x-axis and translated down 5
[27] vertical stretches by a factor of 5 and translated down 5 units
[28] (-9, -6)
[29] x^2 + y^2 = 1
[30] (x^2)/16 + (y + 3)^2 = 1
[31] x^2 + ((y - 15)^2)/25 = 1
[32] Sample answer: When written in standard form, the equations have the same terms, one involving the square of x and the other involving the square of y, added together. In both equations, the values of h and k indicate the center of the graph, and the values of a and b indicate the vertices. The equations are different in that the terms of the ellipse equation have unequal scale factors, while the terms of the circle equation have equal scale factors.
[33] (x^2)/9 + (y^2)/25 = 1
[34] g(f(x)) = 5 - 6x
[35] -2/3; 2704; -(2x^2)/9 - 8x/3 - 8
[36] y = sqrt(1 - x^2); y = |x|; y = sqrt(x); y = |x|
[37] x = 1 or x = 13
[38] g(f(x)) = (3x^2)/25 - 6x/5 + 3
[39] graph translated up 2 and left 3; graph translated down 3 and shrunken horizontally by a scale factor of 2 (it's half as wide); graph reflected across the x-axis, stretched vertically by a scale factor of 2 (twice as tall), translated down 1 and left 1
[40]
[41]
the order matters for A and B but not for C and D. The final equations when A is applied irst are different from the final equations when B is applied first, but the final equations when C are applied first are the same as the final equations when D is applied first.
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