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37 Cards in this Set
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E. 100 |
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The first term is 1 in the geometric sequence1, −3, 9, −27, .... What is the SEVENTH term of thegeometric sequence? A. −243 B. −30 C. 81 D. 189 E. 729 |
E. 729 |
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Students studying motion observed a cart rolling at a constant rate along a straight line. The table belowgives the distance, d feet, the cart was from a referencepoint at 1-second intervals from t = 0 seconds tot = 5 seconds. Which of the following equations represents thisrelationship between d and t ? A. d=00t+14 B. d=06t+08 C. d=06t+14 D. d=14t+06 E. d=34t |
C. d=06t+14 |
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This month, Kami sold 70 figurines in 2 sizes. Thelarge figurines sold for $12 each, and the smallfigurines sold for $8 each. The amount of money hereceived from the sales of the large figurines was equal to the amount of money he received from the sales ofthe small figurines. How many large figurines did Kami sell this month? A. 20 B. 28 C. 35 D. 42 E. 50 |
B. 28 |
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If a, b, and c are positive integers such that a^b =x and c^b=y, then xy=? |
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The equation y=ax^2 +bx+c is graphed in thestandard (x,y) coordinate plane below for real values ofa, b, and c. When y = 0, which of the following best describes the solutions for x ? F) 2 distinct positive real solutions G) 2 distinct negative real solutions H) 1 positive real solution and 1 negative real solution J) 2 real solutions that are not distinct K) 2 distinct solutions that are not real
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H) 1 positive real solution and 1 negative real solution |
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What is the product of the complex numbers (−3i + 4) and (3i + 4) ? |
C. 25 |
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Which of the following is the graph of the region1 < x + y < 2 in the standard (x,y) coordinate plane? |
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Which of the following describes a true relationship between the functions f(x) = (x − 3)^2 + 2 and g(x) = (1/2) x + 1 graphed below in the standard (x,y) coordinate plane? F) f(x) = g(x) for exactly 2 values of x G) f(x) = g(x) for exactly 1 value of x H) f(x) < g(x) for all x J) f(x) > g(x) for all x K) f (x) is the inverse of g(x) |
F) f(x) = g(x) for exactly 2 values of x |
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What is the slope of CD ? A)−3 B) −1 C) 1 D) 5/21 E) 3/2 |
B) −1 |
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When ABCD is reflected over the y-axis to A′B′C′D′,what are the coordinates of D′ ? F. (−12, 1) G. (−12,−1) H. ( 12,−1) J. (1,12) K. (1,−12) |
F. (−12, 1) |
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Given f(x) = x - (1/x) and g(x) = 1/x What is f(g(1/2))? F) -4 G) -3/2 H) -2/3 J) 0 K) 3/2 |
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A formula to estimate the monthly payment, p dollars, on a short-term loan (given to the left) where a dollars is the amount of the loan, r is the annual interest rate expressed as a decimal, and y years is the length of the loan. When a is multiplied by 2,what is the effect on p ? A) p is divided by 6 B) p is divided by 2 C) p does not change D) p is multiplied by 2 E) p is multiplied by 4 |
D) p is multiplied by 2 |
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The points E(6,4) and F(14,12) lie in the standard (x,y) coordinate plane shown below. Point D lies on line segment EF between point E and point F such that the length of line segment EF is 4 times the length of line segment DE . What are the coordinates of point D ? F. ( 7, 5) G.( 8, 6) H.( 8, 8) J.(10, 8) K.(12,10) |
G.( 8, 6) |
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D. 27 |
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The shaded region in the graph below represents thesolution set to which of the following systems of −5 < 1 − 3x < 10 inequalities? |
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Which of the following is the solution statement forthe inequality shown below? −5 < 1 − 3x < 10 |
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After completing the poll, Kelly wondered how manyof the students polled had skied both cross-country anddownhill. How many of the students polled indicated that they had skied both cross-country and downhill? A. 73 B. 65 C. 47 D. 18 E. 8 |
E. 8 |
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Which of the following number line graphs shows thesolution set to the inequality ⎪x − 5⎪ < −1 ? |
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The sum of the real numbers x and y is 11. Their difference is 5. What is the value of xy ? F.3 G.5 H.8 J. 24 K. 55 |
J. 24 |
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What is the slope of the line through (–5,2) and (6,7) inthe standard (x,y) coordinate plane? F. 9 G. 5 H. –5 J. 5/11 K. -5/11 |
J. 5/11 |
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The diameter, d centimeters, of the metal polesGoodpole Manufacturing produces must satisfy theinequality |d – 3| ≤ 0.001. What is the
maximumdiameter, in centimeters, such a metal pole may have? F . 1.4995 G. 1.5005 H. 2.999 J. 3.000 K. 3.001 |
K. 3.001 |
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The slope of the line with equation y = ax + b is greaterthan the slope of the line with equation y = cx + b.Which of the following statements must be true aboutthe relationship between a and c ? |
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Two hoses are used to fill the pool. Twice as many gal-lons of water per minute flow through one of the hosesas through the other. Both hoses had been on for12 hours and had filled the pool to the 4-foot markwhen the hose with the faster flow stopped working.The hose with the
slower flow then finished filling thepool to the 5-foot mark. Which of the following graphsshows the relationship between the time spent fillingthe pool and the height of the water in the pool?
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The inequality 3(x + 2) > 4(x – 3) is equivalent towhich of the following
inequalities? F) x<–6 G) x<5 H) x< 9 J) x<14 K) x<18 |
K) x<18 |
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In the standard (x,y) coordinate plane, the midpoint of line segment AB is (4,–3) and A is located at (1,–5). If (x,y) are thecoordinates of B, what is the value of x + y ? A. 19 B. 8 C. 6 D. –1.5 E. –3 |
C. 6 |
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Tickets for the Senior Talent Show at George Washing-ton Carver High School are $3 for adults and $2 forstudents. To cover expenses, a total of $600 must becollected from ticket sales for the show. One of the fol-lowing graphs in the standard (x,y) coordinate plane,where x is the number of adult tickets sold and y is thenumber of student tickets sold, represents all the poss-ible combinations of ticket sales that cover at least$600 in expenses. Which graph is it? |
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The point (2,5) is shown in the standard (x,y) coordinate plane below. Which of the following is another point on the line through the point (2,5) with a slope of -2/3? A) (-1,3) B) ( 0, 8) C) (4,2) D) (5,3) E) (5,7) |
D) (5,3) |
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The number line graph below is the graph of which ofthe following inequalities? A. –1 ≤ x and 3 ≤ x B. –1 ≤ x and 3 ≥ x C. –1 ≤ x or 3 ≤ x D. –1 ≥ x or 3 ≤ x E. –1 ≥ x or 3 ≥ x |
D. –1 ≥ x or 3 ≤ x |
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All of the following graphs have equal scales on theaxes. One of the graphs shows only points for which they-coordinate is 1 less than the square of the x-coordinate.Which one? |
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A) -70 B) -36 C) 0 D) 36 E) 70 |
A) -70 |
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A) 8 |
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A function f is an odd function if and only iff(–x) = –f(x) for every value of x in the domain of f.One of the functions graphed in the standard (x,y)coordinate plane below is an odd function. Which one? |
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J) 125 |