1 St Name udent Form REL Coordinate Algebra Released Items M E T N R T A P O E F D E N D O U I C T A ge . Bar D. John Dr School Superintendent State Department Geor gia Education of ed. Reserv Rights All

2 Coordinate Algebra Formula Sheet s ow a r e t he f or m ul a s you m a y f i nd u s e f ul l you w or k t he pr obl e m s . H o w e ve r , s om e e B a t he f or m ul a s m a y not be us e d . Y ou m a y r e e r t o t hi s pa g e a s you t a ke t he of t e s t . f r a A e t M an A b s ol u e e D e vi at i on n m A e bh t c a ng l e a nd P a r a l l e l ogr R a = ∑ xx − || i = 1 i 1 ngl T r i a A e = bh n 2 2 the average of the absolute deviations = A r π e l c r i C from the mean for a set of data 1 = A h b b + Trapezoid ( ( ) ) 1 2 2 Distance Formula e n c e C i r c u m f e r 2 2 14 3. ≈ π C π d = y xy dx () () +− =− 21 21 V e m u ol Slope Formula m h B = R e c t a ngu l a r P r i s / C y l i nd e r V yy − 1 21 = m V yr P = a m i d/ C one h B − xx 3 21 4 3 Sphere π = Vr 3 Midpoint Formula A S u r f ac e r e a ⎛ ⎞ xx yy ++ 12 12 ⎟ ⎜ l P r i s m SA = t c e R ngul a r a h l 2 + h w 2 + w 2 , M = ⎟ ⎜ ⎟ ⎜ ⎝ ⎠ 22 2 nde yl C i 2 r r π S = A 2 π r h + Interquartile Range Pythagorean Theorem the difference between the rst quartile 2 2 2 = a + b c and third quartile of a set of data 2

3 coordinate i a lgebra – Section An artist paints designs on T-shirts. It 3 1 The value, V , of an automobile n years after purchase can be modeled with this takes 15 minutes to set up the equipment formula. and 40 minutes to clean the equipment and put it away. Once everything is set n up, it takes the artist about 12 minutes to () =− VI d 1 paint a design on each T-shirt. is the purchase price, In the formula, I Which equation BEST models the in dollars, of the automobile and the n , the artist can make s number of shirts, expression − d decay is known as the 1 () in 127 minutes? factor . A s 127 55 12 −= A car purchased for $21,000 has a decay B 12 55 s 127 −= factor of 0.7. What is the present value of C s 127 12 25 += the car? D s 12 += 55 127 $6,300 A $14,700 B C $30,000 $35,700 D Andrew invested $1000 in his savings 4 account. The interest rate, r , is compounded annually. Which equation A , in his account shows the amount, after x years? 2 This expression is a product. x A 1 =− 1000 Ar () () ++ 42 35 xy () ab x B 1000 =+ () Ar 1 x C 1 1000 =− Ar () As written, how many factors make up x D Ar = 1000 this product? 2 A 3 B C 4 5 If the value of decreases by 2, how does z 5 D the value of the expression () 16 + yz change? A decreases by 2 y B decreases by 32 y y increases by 14 C y D increases by 18 3 Go On

4 coordinate lgebra – Section a i This coordinate plane shows the graph of 8 Look at the system of equations. 6 an equation. c by += ax y += dx f ey 4 The system has a unique solution, (, ). xy Which system of equations has the same 2 solution? 2 y = 5 + 3 = 5 y + 3 x 2 x x 0 4 2 2 – by c += ax A 2 – dx −= ey f ax += by c Which statement about the solutions of B the equation MUST be true? () ae dy cf ++ += + () xb x If the -value of a solution is positive, then A ax by c += y the corresponding -value is negative. C () () ey xb −= ad + ++ cf If the B x -value of a solution is negative, then the corresponding y -value is positive. += c by ax There is no solution for which both the C D ad () + 2 22 += ++ () cf ey xb x -value are integers. y -value and the D There is only one solution for which both x -value are integers. y -value and the the What is the x -value of the solution to this 7 system of equations? 32 += xy 6 += xy 22 x =− 2 A 10 B x = 7 C x = 2 = 4 x D Go On 4

5 coordinate a i lgebra – Section 32 xy >− Which graph shows the solution set for the inequality ? 9 A B y y 4 4 2 2 x x 0 0 – 4 4 2 2 4 4 – – 2 2 – – 2 – 2 – 4 4 – C D y y 4 4 2 2 x x 0 0 2 4 4 – 4 4 2 – 2 – – 2 – 2 2 – 4 – 4 – Go On 5

6 coordinate lgebra – Section a i This coordinate plane shows two 10 These tables show points from two linear 11 x . functions. functions of Function 1 Function 2 f • ) is an increasing linear function. x ( ( x ) xf ) x ( xf x • g ( ) is an increasing exponential function. –1 5 1 1 y 2 7 2 2 9 5 3 3 f x ) ( 11 8 4 4 Which of these linear functions has a slope GREATER than the slope for Function 1 and LESS than the slope for ) x ( g Function 2? A x () . =+ 15 1 fx x B 5 fx x () . 22 =+ Based on the information, which C fx 6 25 =− . () x statement is true for all real values of the D fx x () =+ 32 ≥ 0? x domain A fx gx () () = for only one value in the domain B fx () gx () = for many values in the domain C for all values in the domain gx () () > fx D () for all values in the domain < () fx gx 6 Go On

7 coordinate i a lgebra – Section Which table BEST describes a function 12 A rectangular field is 100 meters in width 13 and 120 meters in length. The dimensions with exponential decay? meters x of the field will be expanded by in each direction, as shown in the A xf ( x ) diagram. 81 1 27 2 9 3 3 4 100 m B xf ) x ( 1 80 120 m 2 70 m x 3 50 4 20 x m Which function describes the perimeter of ? the new field in terms of x C ) xf ( x A 220 =+ () x fx 4 80 1 B 8 220 =+ () fx x 76 2 C x 4 440 =+ () fx 67 3 D 8 () 440 x =+ fx 51 4 D x ( xf ) Which function shares at least one point 14 with the function represented by the 1 2 x equation 2? = y 2 4 3 8 yx A = 4 16 yx B =− x C 2 =− y yx += 2 D 7 Go On

8 coordinate i lgebra – Section a 16 intersects On the coordinate plane, line l UV has 15 W On this coordinate plane, 3 GP been transformed to form its image, GH segment so that P at point . = UV W '' . '' '' 2 PH y y 6 G 6 4 l W U 4 2 P 2 V x 0 4 2 – 2 – 4 – 4 x H 0 2 4 – 6 6 – 4 – 2 2 – 2 – '' V What are the coordinates of point P ? 4 – U '' W '' A 01 (. ,. ) 12 – 6 B ) 01 ,. (. 14 C ) (. ,. 02 12 Which statement describes the sequence D 02 14 (. ,. ) of transformations? A reflection across the y -axis, followed by a translation of 2 units to the left and 9 units down x -axis, followed by a B reflection across the reflection across the y -axis C rotation of 180° about the origin, followed by a translation of 2 units to the right and 1 unit down D translation of 2 units to the right and 1 unit up, followed by a rotation of 180° about the origin 8 Go On

9 coordinate i a lgebra – Section On a coordinate plane, WXYZ is a square. A train traveled from Chicago to Los 19 17 Segment Angeles. The points graphed on this is one side of the square WZ coordinate grid show the distance the train and has endpoints and W 85 −− ) (, was from Los Angeles after each of the first What is the perimeter, in 42 −− ). (, Z eight hours of the trip. ? WXYZ units, of 5 A ime T Distance vs. 15 B ) t d ( 20 C 25 D 2000 om 1750 Angeles (miles) 1500 Distance fr . RS is on 29 Point (, N 18 A translation ) Los N to its image, moves point N '( ,) . 63 t 0 12345678 What is the distance, in units, between T ime (hours) any point on and its image? RS A 10 The linear regression model for the data is =− Based on the regression 1888 58 . () t dt + B 40 function, which is the best estimate for the C 52 total time it took the train to travel the entire distance? D 130 10 hours A B 33 hours 53 hours C 63 hours D 9 Go On

10 coordinate lgebra – Section i a Look at the scatter plot. 20 y 7 6 5 4 3 2 1 x 0 12 34 567 What is the MOST likely correlation coefficient, r , between the variables represented in this scatter plot? A –0.9 B –0.5 C 0.5 0.9 D 10

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