Pinecrest Preparatory Academy Charter High School



Final Exam ReviewMultiple ChoiceIdentify the choice that best completes the statement or answers the question.____1.The table shows how the height of a stack of DVDs depends on the number of DVDs. What is a rule for the height?Number of DVDsHeight (cm)218327436n?a.h = 9nc.h = 2nb.h = 8nd.h = What is the simplified form of each expression?____2.a.343c.16,807b.16,384d.2,401____3.What is an expression for the sale price of a bracelet that has been discounted 60% from it’s sticker price? Evaluate the expression for sticker prices of $90.Use the variable s for the sale price and p for the sticker price.a.; $36c.; $5490b.; $54d.; $90____4.To which subsets of the real numbers does the number 1.68 belong?a.rational numbersb.natural numbers, whole numbers, integers, rational numbersc.rational numbers, irrational numbersd.none of the aboveSimplify each expression.____5.a.sc.sb.gd.g____6.Which number line model can you use to simplify –6 + 4?a.–6 + 4 = –2b.–6 + 4 = –10c.–6 + 4 = 10d.–6 + 4 = 10____7.Which number line model can you use to simplify –6 + (–5)?a.–6 + (–5) = –11b.–6 + (–5) = –1c.–6 + (–5) = 1d.–6 + (–5) = 1____8.What is the value of when x = and y = ?a.c.b.d.–____9.A souvenir maker wants to create a scale model of the Empire State Building. The Empire State Building is 1472 feet tall and has a base with dimensions 286 ft meters by 286 ft. If the model is 6 in. tall, approximately what are the dimensions of its base in inches?a.1.2 in. by 1.2 in.c.0.2 in. by 0.2 in.b.1 in. by 1 in.d.2.3 in. by 2.3 in.____10.Which ordered pair is a solution of the equation ?a.(10, –86)c.(6, –41)b.(–4, –58)d.(–6, 57)____11.The table shows the relationship between the number of white triangles and the total number of square tiles in each figure. Complete the table and extend the pattern. What is the total number of white triangles in a figure with 8 tiles? Number of square tiles(s)Number of white triangles (t)122345a.32c.16b.10d.12What is the solution of the equation?____12.a.c.–5b.4d.–3____13.a.c.–1b.–5d.6____14.a.1.4c.2.8b.d.0.6____15.a.36c.b.13d.–36____16.Which equation is an identity?a.c.b.d.____17.Which equation has no solution?a.c.b.d.____18.Nina wants to download games for her video game console. Older games cost 250 points and new releases cost 500 points. Nina has 7500 points to use. The equation , where a is the number of older games and b is the number of new releases, models the situation. How many older games can she download if she downloads five new games?a.20 c. 17 b. 12 d. 40 What is the solution of the proportion?____19.a.56c.168b.672d.576____20.a.76c.–38b.–152d.16What inequality represents the verbal expression?____21.8 less than a number n is less than 11a.11 – 8 < nc.8 – n < 11b.n – 8 < 11d.11 < 8 – nWhich number is a solution of the inequality?____22.a.b.5c.d.____23.What is the graph of (–8, 2]?a.b.c.d.____24.How do you write and in interval notation?a.[–6, –3]c.[–6, –3)b.(–6, –3)d.(–6, –3]____25.What is the graph of or ?a.b.c.d.____26.How do you write or as an inequality?a. or c. and b. or d. and What are the variables in each graph? Describe how the variables are related at various points on the graph.____27.The graph shows the height of a hiker above sea level. The hiker walks at a constant speed for the entire trip. What are the variables? Describe how the variables are related at various points on the graph.a.The variables are height and time. For the first part of the graph, the height is increasing slowly, which means the hiker is climbing a steep incline. Flat parts of the graph show where the elevation does not change, which means the hiker stopped to rest. The steep part at the end of the graph shows that the hiker is descending a gentle slope.b.The variables are height and time. For the first part of the graph, the height is increasing slowly, which means the hiker is walking up a gentle slope. Flat parts of the graph show where the elevation does not change, which means the trail is flat here. The steep part at the end of the graph shows that the hiker is descending a steep incline.c.The variables are height and time. For the first part of the graph, the height is increasing slowly, which means the hiker is climbing a steep incline. Flat parts of the graph show where the elevation does not change, which means the trail is flat here. The steep part at the end of the graph shows that the hiker is descending a steep incline.d.All of the above.The table shows the relationship between the number of sports teams a person belongs to and the amount of free time the person has per week.Number of Sports TeamsFree Time (hours)046139232325____28.Is the above relationship a linear function?a.yesb.no____29.What is the graph for the above relationship?a.c.b.d.____30.xy112.3219.6326.9434.2541.5Graph the function shown by the table. Is the function linear or nonlinear?a.linearb.nonlinear____31.Write a function rule for the area, A, of a triangle whose base, b, is 2 cm less than seven times the height, h. What is the area of the triangle when the height is 14 cm?a.; 672 cmc.; 96 cmb.; 48 cmd.; 1344 cm____32.Identify the mapping diagram that represents the relation and determine whether the relation is a function.a.The relation is not a function.c.The relation is a function.b.The relation is a function.d.The relation is not a function.Tell whether the sequence is arithmetic. If it is, what is the common difference?____33.2, 7, 13, 20, . . .a.yes; 5b.yes; 6c.yes; 2d.noMatch the equation with its graph.____34.–0.2x – 0.6y = 0.12a.c.b.d.____35.The scatter plot below shows the height of a tree over time. What is the approximate height of the tree after 10 years? a.13 ftc.17 ftb.20 ftd.21 ftWhat is the solution of the system? Use a graph.____36.y = –x + 2y = 3x – 1a.c.b.d.What is the graph of the inequality in the coordinate plane?____37. a.c.b.d.____38.a.c.b.d.____39.A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft, and the distance around should be no more than 380 ft. Write a system of inequalities that models the possible dimensions of the garden. Graph the system to show all possible solutions.a.c.b.d.Is the number written in scientific notation? If not, explain.____40.a.Yes; the number is written in scientific notation.b.No; the first factor is not a number between 1 and 10.c.No; it is not written as a number times a power of 10.____41.Does the table represent an exponential function?x1234y–1–8–27–64a.yesb.no____42.Does the rule represent an exponential function?a.yesb.no____43.Ken has decided to raise rabbits but has been warned that the number of rabbits he will have will double every month. Ken started out with 30 rabbits and the function models the number of rabbits he will have after x months. Which graph represents this function?a.c.b.d.Simplify the product using a table.____44.64a.c.b.d.____45.A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula for the volume of a cylinder.a.c.b.d.____46.A sphere has a radius of 4x + 4. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula for the surface area of a sphere.a.c.b.d.____47.What is ?a.891c.903b.915d.885____48.What is ?a.6396c.6400b.6408d.6392____49.The area of a rectangular painting is given by the trinomial x2 + 4x – 21. What are the possible dimensions of the painting? Use factoring.a.x + 7 and x + 3c.x – 7 and x – 3b.x – 7 and x + 3d.x + 7 and x – 3____50.The area of a rectangular barnyard is given by the trinomial 12x2 + 14x – 40. What are the possible dimensions of the barnyard? Use factoring.a.4x – 10 and 3x + 4c.4x + 10 and 3x – 4b.– 4x + 10 and –3x + 4d.4x – 4 and 3x – 4____51.The area of a rectangular pool is given by the trinomial 8y2 + 4y – 12. What are the possible dimensions of the pool? Use factoring.a.– 2y – 2 and –4y – 6c.2y – 2 and 4y + 6b.2y – 2 and 4y + 6d.2y + 2 and 4y – 6____52.A carpenter is putting a skylight in a roof. If the roof measures 4x + 5 by 7x + 7 and the skylight measures 10x + 10 by 2x + 6, what is the area of the remaining roof after the skylight is built. Put your answer in factored form.a.(x + 1)(8x – 25) c.(x – 25)2b.(x – 1)(8x + 25) d.(x + 1)2____53.Evaluate , for u = 20, x = 4, y = 7, and z = 10.a.294b.198c.900d.786What sum or difference is equivalent to the expression?____54.a.x + b.x + c.xd.What is the solution of the equation?____55.4.7x + 3.8 = 13.2a.3.6b.3.7c.2d.3____56.x – 8 = 7a.b.c.d.What is the solution of the equation?____57.a.22b.c.4d.18____58.2.4x + 2.6 = 17a.6b.4.9c.8.2d.7____59.Car A travels 180 miles in 7 hours. Car B travels 350 miles in 4 hours. Car C travels 584 miles in 15 hours. Which car has the fastest average speed?a.Car Ac.Car Cb.Car Bd.They all have the same average speedIn the diagram, the figures are similar. What is x?____60.a.18 cmb.11.9 cmc.14.1 cmd.5.8 cm____61.What percent of 140 is 112?a.0.8%c.1.25%b.125%d.80%What are the solutions of the inequality? Graph the solutions.____62.–2m < –14a.m < 7b.m > –12c.m < –12d.m > 7What are the solutions of the inequality?____63.2(b – 8) > 12a.b > 20b.b > 6c.b > 14 d.b < 20What compound inequality represents the phrase? Graph the solutions.____64.all real numbers w that are less than –7 or greater than 14a.–7 < w < 14b.w < 14 or w > –7c.w < –7 or w > 14d.w < –7 or w 14What are the solutions of the compound inequality? Graph the solutions.____65.a.b.c.d.____66.a.p = 5b.p = –5 or 5c.p = –5d.no solutionLet X = {x | x is a whole number less than 15}, Y = { x | x is a multiple of 3}, Z = {x | x is a real number greater than or equal to 5.5}.____67.What is ?a.b.c.d.Write a function for the situation. Is the graph continuous or discrete?____68.A produce stand sells roasted peanuts for $1.90 per pound. What is the cost, C, of p pounds of peanuts?a.C = 1.90p; continuousc.C = 1.90 + p; continuousb.C = 1.90p; discreted.C = 1.90 + p; discreteWhat is the slope of the line that passes through the pair of points?____69.(–5.5, 6.1), (–2.5, 3.1)a.–1b.c.–1d.1What equation in slope intercept form represents the line that passes through the two points?____70.(2, 5), (9, 2)a.y = x c.y = x b.y = x d.y = x ____71.The table shows the height of an elevator above ground level after a certain amount of time. Model the data with an equation. Let y stand for the height of the elevator in feet and let x stand for the time in seconds.Time (s)Height (ft)1015620142401146086a.c.b.d.Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.____72.y = x – 9–14x – 4y = –20a.parallelb.perpendicularc.neither____73.Below are the graphs of and . How are the graphs related?a.The two graphs are the same.b.The graphs have the same y-intercept. The second graph is steeper than .c.The graphs have the same shape. The y-intercept of is 0 and the x-intercept of the second graph is 11.d.The graphs have the same shape. The y-intercept of is 0 and the y-intercept of the second graph is 11.What is the solution of the system? Use substitution.____74.y = x + 6y = 2xa.(6, 12)b.(–12, –6)c.(–6, –12)d.(2, 4)What is the solution of the system? Use elimination.____75.2x – 2y = –8x + 2y = –1a.(–14, 1)b.(1, 5)c.(–3, 1)d.(0, 4)____76.A motorboat can go 8 miles downstream on a river in 20 minutes. It takes 30 minutes for the boat to go upstream the same 8 miles. Find the speed of the current.a.20 mphb.16 mphc.24 mphd.4 mphWhat is the simplified form of each expression?____77.a.1b.0c.–5.1d.–1What is the simplified form of each expression?____78.a.b.c.d.What is the simplified form of each expression?____79.a.b.c.d.____80.Scientists believe that there is an extremely massive black hole at the center of the Milky Way. How many times more massive than the Sun would a black hole with a mass of kg be? The mass of the Sun is approximately kg.a.c.b.d.What is the degree of each monomial?____81.3x8y4a.3b.8c.12d.4Find the GCF of the terms of the polynomial.____82.30x3 + 16x5a.16xb.2x3c.2x5d.x3____83.What is 512? Use mental math.a.2,500b.2,401c.2,601d.2,551What is the factored form of the expression?____84.k2 – 81h2a.(k – 9h2)(k + 9)c.h2(k + 9)(k – 9)b.(k + 9h)(k + 9h)d.(k + 9h)(k – 9h)What is the factored form of the expression?____85.3x3 + 3x2 + x + 1a.x(3x2 + x + 1)c.3x2(x + 1)b.(x + 3)(3x2 – 1)d.(x + 1)(3x2 + 1) ................
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