Algae+-+9th+Grade

1. Which of the following is true? A. The graph of y = x is a circle. B. The graph of y = ׀  x – 10 ׀  is a U shaped curve that opens down C. The graph of y = ½ x ² is a straight line. D. The graph of y = x + 8 is a straight line. Draw a picture of what each graph listed above would look like.  2. The function f (x) = x ²- 2x + 2 belongs to which family of functions? Why?  A.  linear B.  quadratic C.  direct variation D.  absolute value
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">A <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">B <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> ||
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">C <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">D <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> ||

3. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">Which of the following equations represents a horizontal line through (5, -3)? A. x = -3 B. y = 5 C. y = -3 D. y = 5 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">Draw a picture of this line. <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">

<span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">4. Which equation represents an exponential decay? Why? A. y = ½ ^ x B. y = 5X C. y = 3X² - 5X + 2 D. y = 4^x

5. Which type of equation does the table represent? <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Calibri; msobidithemefont: minor-latin; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">A. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Arial; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">linear <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Calibri; msobidithemefont: minor-latin; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">B. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Arial; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">exponential decay <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Calibri; msobidithemefont: minor-latin; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">C. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Arial; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">exponential growth <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Calibri; msobidithemefont: minor-latin; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">D. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">quadratic
 * <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">X <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">0 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">1 + <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">2 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">3 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">4 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">5 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  ||
 * <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">Y <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">1 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">5 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">25 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">125 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">625 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">3125 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  ||

6. Which explicit equation represents the table of values? <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Calibri; msobidithemefont: minor-latin; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">A. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Arial; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">Y = (0.25)^x <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Calibri; msobidithemefont: minor-latin; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">B. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Arial; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">Y = (5)^x <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Calibri; msobidithemefont: minor-latin; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">C. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Arial; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">Y = 5X <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Calibri; msobidithemefont: minor-latin; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">D. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: Calibri; font-size: 12pt; line-height: 115%; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; msoasciifontfamily: Calibri; msobidifontfamily: Arial; msofareastfontfamily: 'Times New Roman'; msohansifontfamily: Calibri;">Y = (5X)² <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';">
 * <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">X <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">0 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">1 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">2 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">3 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">4 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">5 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  ||
 * <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">Y <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';"> || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">1 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">5 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">25 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">125 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">625 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  || <span style="font-size: 12pt; mso-ascii-font-family: Calibri; mso-bidi-font-family: Arial; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri;">3125 <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; mso-fareast-font-family: 'Times New Roman';">  ||

7. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';">The graphs of the two lines 4x = 3y +23 and 4y + 3x = -19 A. do not intersect B. intersect at ( -2, 5) <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';"> C. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';">are identical D. are perpendicular <span style="font-family: 'Arial','sans-serif'; font-size: 12pt; line-height: 115%; mso-fareast-font-family: 'Times New Roman';">

8. A swing loses 20% of its previous height on each swing. Suppose the swing starts at a height of 10 feet. Choose the answer that represents the height of the swing after its fourth swing. A. 6.4 ft B. 5.1 ft C. 8.0 ft D. 4.1 ft

9. Compare the graphs of y = x², y = 2X, and y = l x l. Which statement is true? A. The graph of y = x² will be a parabola but the graphs of y = 2x and y = l x l will be linear. B. The graphs of y = x² and y = l x l will be a parabolas and y = 2x will be linear. C. The graphs of y = x² will be a parabola, y = 2x will be a linear, and y = l x l will be v shaped. D. The graphs of y = x² and y = l x l will be v shaped, while the graph of y = 2x is linear.