Algebra 1 Unit 4 Practice Quiz 1

Algebra 1 Unit 4: PQ1 SCROLL DOWN FOR WORKED OUT SOLUTIONS Name: "KEY" Date: Period: "PRACTICE" QUIZ 1... Writing Linear Equations in Slope-Intercept Form Part 1: Write the equation of the line given the slope and y-intercept. No decimals. y = mx + b slope -1 and y-intercept- m = - 1 b = - 86y = - x - 8 b = 4, 3 1m + 2/5 f*Omega = 2/5 6y = 7/5 * x + 7.3 b = 4.3 1) y = (- x - 8)/2 y = 2/5 * x + 4 + 3 2) 3) y = 5/4 * x y = 5 4) b = - 5 m =0 r H Y Q = - 5 b =^ - 5^ - m = 5/9 b = 0 (y = 5/9 * x) m = 20/36 b = 0 Part 2: Write the equation of the line given the graph. No decimals. y=1 Hoy @ D 5) y=x 6) y = - 2x + 4 Gm E (y=|x) a, b = 0 +2 6m * (- 2/1) Gb = 4 algebrahelp om Part 3: Write the equation of the line that passes through the given point and has the given slope. No decimals. slope = 2 and passes through (0,-1) ⑤ b = - 1 6y = 2x - 1 5 2 slope and passes through (-8,-4) m = - 5/2 b = - 24(Fy = - - 5/2 * x - 24) XY y = 2x - 1 ) y = - 5/2 * x - 24 ) 10) x =\# underline vu x Rightarrow through (21 (25) y = 25 111 y = pi y = 25 H y -> y = 7t slope = undefined and passes through ( 6 backslash-3) x =\# So... Part 4: Write the equation of the to the given line and passes through the given point. No decimals. PARALLEL = SAME SLOPE y = - 1/9 * x - 2 x 12) parallel to y = - 1/4 * x - 7 and passes through (8,-4)6m* -1 4 ( plus/minus b = - 2(5) * y = - 1/4 * x - 2 Il to and passes through (5, 2) 8m = 8/3 = -34 y = 8/3 * x - 17/2 Part 5: Applications... each part b requires units. b A family pays a one-time registration fee of $40 to enroll their child in daycare. The weekly charge thereafter is $175 per week. 13) (y = 3/3 * x - 34/7)/(9R) y=x-11 y = 175x + 40 x 14a) y =*740 14b) a) Write a linear model that describes this situation. REMEMBER... MIRATE OF CHANGE b) How much will for 4 weeks of daycare? x=4 b= "BEGINNING y = 175(4) + 40 y = ne746 y = mx + b @ m = 175 &b=40&y=175x+40 A ( 5x = 2x + 4 b = - 11 1/3 y = 1/3 * x - 11 ^ 2 y= 0.16x+21.7515a) y = 455.5(15b) x= AM I angle angle S YE TOTAL CHARGE b A car rental company charges a flat fee of $21.75 and an additional fee of $0.16 per mile to rent a car. m a) Write an equation to model the total charge, y (in dollars) in terms of x, the number of miles driven. 3m = 0.16 b = 21.75 Fly=0.16x+21.75 b) How much will a car cost if you drive it for 211 miles? y= 0 16(211) + 21 y= emptyset,55. 0.5 ^ 2 211 x = y=sax +55 162) y = 8255 16b) x = H_{0m} Y=&TOTAL COST y= 2.1x + 1.5017a ) y= overline 751.90 17b) x =H 0wars YTOTHE COST A mechanic at a bicycle repair shop charges $50 per hour. The cost of the parts is $55. a) Write an equation that represents the total cost y of fixing the bicycle after x hours of work. m = 50 b = 55 € ( y = 50x + 55 b) How much will it cost to fix a bicycle if it needs 4 hours of work? y = 5 deg * 0(4) + 55 y = - 255 x = 11 y = b = The cost of parking in a parking garage is an fee plus $2.10 for each hour that you park. Your cost for 3 hours is X3 y=7.80 Rightarrow (3, 7.7) a) Write a linear equation that models in terms of the number of hours x. m = 2.1 b = 1.5 E( y = 2, 10x + 1, 50 b) Use your to determine the total for 24 hours. x = 24 y = y = 2.1(24) + 1 y = 451.9 (y = - 2x - 10)/(y = 4) 18a) 18b) y = 2x - 10 18c) Write an equation for each side of the triangle. b Hoy a 3m * (- 2/T) m = - 2 b = - 10 a C 7xy = - 2x - c "Hay" m = 0 b = 4 6xy = 4 m = 2/1 b = - 10 Ey = 2x - 10 m2 Part 6: Short Answer. Use complete sentences. 19) Explain the three steps involved in writing an equation in slope intercept form. Response: ANSWERS MAY VARY 20) How would you use "VUX" to help you write the equation of a vertical line? Response: ANSWERS MAY VARY UNITY "PRACTICE QUIZ 1 m = - 1 b = - 8 y= overline - x - 8 2) 3 m = 2/5 6=4.3 y = 2/5 * x + 4.3 3) Bm = 20/36 b = 0 (y = 5/9 * x) m = 5/9 4) m = 0 m = 0 b = - 5 y = overline -5 y = x 5) m + 0 y = px m = 0 b = 1 6) m = 1 -> 2 m = 1 b = 0 y = x 7) & m = - 2 m = (1 - 2)/T b = 4 ( y = - 2x + 4