5 n. Patterns, Functions, & Algebra. 4. Use the sequence below.
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1 Patterns, Functions, & Algebra 1. The first si terms of a sequence are shown below The sequence continues. Which epression represents the n th term of the sequence? n + 1 9n 1 + n + 4. Use the sequence below What is the n th term in the sequence? n 1 n 1 n. Use the table n 7 9 The pattern in the table continues. What is the net column in the table? 10. The first five terms of a sequence are shown below What is the th term of the sequence? The first four terms of a sequence are shown below The sequence continues. What is the tenth term of the sequence? The first four terms of a sequence are shown below. 1 4 The sequence continues. Which sentence describes each subsequent term of the sequence? The net term will be four times the previous term. The net term will be eight more than twice the previous term. The net term will be three less than the previous term. The net term will be three more than the previous term. 7. The first five terms of a sequence are given below The sequence continues. Which epression represents the n th term of the sequence? 3 n 1 3 n
2 8. A sequence is defined as follows: The n th term is three more than twice the square of n. What is the 7 th term of the sequence? The figures shown below are constructed from toothpicks.. A function and its domain are shown below. 1 g Domain: 1,, 3 What is the range of the function? 1 0,, 1 1 1,1, 1,, 3 1, 3, Which epression represents the number of toothpicks in Figure n? n 6 n 1 4n 1 Figure 1 Figure Figure A pattern of numbers is shown below ????? Which list of numbers shows the missing line? A function and its range are shown below. f Range: f 7, 1, 1, 3 What is the domain of the function? 1,, 3, 4 7, 1, 1, 3 19, 7, 3,1 4, 1, 8, Use the functions below. f g Which elements are in the range of f and also in the range of g? All real numbers All positive real numbers All negative real numbers No real numbers
3 14. Use the graph of the absolute value function below. 16. Which graph shows a function with range 3? What is the domain of this function? All real numbers The graph of a function is shown below. What is the domain of this function? = 1 or = 4 can be an real number 1 =
4 Which epression is equivalent to? 3 3( 3) 3( 3 ) 3(3 9) 3( 9) 18. Simplif An epression is given below. 8 Which epression is equivalent to the one given? Factor Factor: Factor A polnomial is shown below. 1 N What value of N makes the polnomial a perfect trinomial square? An equation is shown below What is the solution set of the equation? 1, 6 9, 8 8, 9 6, 1. Which equation has roots of 3 and? 1 = = = = 0 6. An equation is shown below. 4 0 What is the solution set of the equation? 4, 6 6, 4 1,, 1
5 7. What must be added to n 4 to get? n Which inequalit is equivalent to p 8? 10 7n 7n p 3 3 p 13 p 13 or p 3 p 3 or p Look at the equation below The graph below represents the solution set of an inequalit. Which graph represents the solution set of the equation? Which of these is the inequalit? c 3 c 3 c 3 c 3 9. An inequalit is shown below What is the solution of the inequalit? An inequalit is shown below. p 10 Which shows the inequalit correctl solved for, when > 0? 0 p 0 p 33. Use the absolute value function below. 1 What is the range of the function? Two linear equations are given below. Equation 1: 3 Equation : 43 1 For which equation(s) is the point 3, 3 a solution? Equation 1 onl. Equation onl. Both equations 1 and. Neither equation 1 nor. p p
6 3. A sstem of equations is shown below What is the -value in the solution of the sstem of equations? Fred and Ethel are solving the sstem of linear equations shown below: Fred found the solution to be the point (6, 0). Ethel found the solution to be the point (0, 4). Which person has the correct solution to the sstem and wh? Fred, because the point (6, 0) lies on both lines. Ethel, because the point (0, 4) lies on both lines. Neither, because an two lines ma onl have one point in common. Neither, because the have found onl two of the infinitel man points that lie on both lines. 36. A sstem of equations is shown below What is the value of in the solution of the sstem of equations? A sstem of linear equations is shown below. 1 3 What is the -coordinate of the point of intersection? Use the sstem of equations below. 31 pq For what values of p and q does the sstem of have an infinite number of solutions? p = 3, q = 1 p = 3, q = p = 6, q = 1 p = 6, q = 40. Two jobs offer different pa packages. Job A pas an annual salar of $38,000 plus a commission of 3% of sales (s). Job B pas an annual salar of $43,000 plus a commission of 1% of sales (s). What sstem of equations would be used to find the amount of sales that makes the pa (P) for Job A equal to Job B? P s P s P s P s s P s P P s Use the sstem of equations below. 4 Which statement best describes the solution set of the sstem? The solution set is onl the ordered pair (4, ). The solution set is all ordered pairs where = 4; can be an real number. The solution set is all ordered pairs where = ; can be an real number. There is no solution to the sstem.
7 4. A bo is in the shape of a rectangular prism. The height of the bo is 4 inches. The length of the bo is twice the width of the bo. The volume of the bo is 400 cubic inches. What is the width of the bo in inches? in. 10 in. 10 in. 100 in. 43. A secretar tpes 6 words in a minute. Which proportion shows the approimate number of words that she can tpe in 1 hour? You bu a lawn mower for $80. You charge $0 to mow a lawn. How man lawns will ou have to mow to pa for the lawn mower plus show a profit of $60? 3 lawns lawns 14 lawns 17 lawns 4. Two companies build birdhouses. Compan A pas their emploees $100 per da plus $ per birdhouse built. Compan B pas their emploees $0 per da plus $ per birdhouse. How man birdhouses would have to be built in one da for an emploee of either compan to be paid the same amount? 3 birdhouses 4 birdhouses birdhouses 6 birdhouses 46. An equation is shown below. g h 1 3h 6 h Which is an equivalent equation solved for g? h 1 g g g g h 3 h 4h 3 4 h 4h Use the inequalit below where all variables are positive numbers. MP Q R Which shows the inequalit solved for M? QP M R QP M R RQ M P RQ M P 48. The ratio of the length (L) to width (w) of a certain building is equal to the ratio of the height (h) to girth (g) of a man. Which equation represents the man s height? L h g w w h g L 1 L h g w 1 w h g L
8 49. An equation is shown below. pl R A Which is an equivalent equation solved for L? L A pr L p AR pr L A AR L p. Scientists sa that temperature in degrees Fahrenheit can be determined b adding 41 to the number of chirps a cricket makes in 13 seconds (if the temperature is above F). If n is the number of chirps counted in 13 seconds, which formula represents the temperature T in degrees Celsius? T T T T n 4 9 9n 73 n n 9 0. An equation is shown below. PV nrt Which shows the equation correctl solved for R? PVT R n PVn R T PV R nt PT R Vn 3. The swing period (p) of a pendulum, in seconds, is related to its length (L), in centimeters, b the equation below. L p A scientist wants to decrease the swing period of a 400- centimeter pendulum b one second. How should the scientist change the length of the pendulum? Decrease its length b centimeters. Increase its length b centimeters. Decrease its length b 17 centimeters. Increase its length b centimeters. 1. An equation is shown below. P k T n Which is an equivalent equation solved for T? P T n k P T n k T P n k T Pn k 4. Anthropologists eamining remains can determine the approimate height of a person b measuring the femur (thigh bone). The table below shows the approimate heights of adult females based on the lengths of their femurs. Femur Length (cm) Approimate Height (cm) The relationship between femur length and height continues. What is the approimate height of an adult female whose femur measures centimeters? 184 cm 198 cm 10 cm 0 cm
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