Unit 1 Test (Chapter Resource Masters)



1.?Simplify .2.?Name the sets of numbers to which 457 belongs.3.?The sum of a number and 17 more than twice the same number is 101. Find the number.4.?Evaluate if and .5.?Define a variable and write an inequality. Then solve. A local summer baseball team plays 20 games each season. So far, they have won 9 games and lost 2. How many more games must they win this season to win at least 75% of all their games?6.?Solve 3 + 2(1 + x) > 4 or 2x + 14 8. Graph the solution set on a number line.7.?Solve . Graph the solution set on a number line.8.?If find f(4).9.?Write an equation in slope-intercept form for the line that passes through (3, 5) and (–2, 1).10.?Write an equation for the line that passes through (0, 7) and is perpendicular to the line whose equation is .Use the set of data in the table.The table shows the relationship between the price of a comic book and the number of copies sold.11.?Draw a scatter plot for the data.12.?Use two ordered pairs to write a prediction equation. Then use your prediction equation to predict the number of comic books sold when the price is $4.50.15.?Solve the system of equations below by using substitution.16.?Solve the system of equations below by using elimination.Use the matrices below.20.?Find A – B.Simplify. Assume that no denominator equals 0.26.?27.?5x3(7x)228.?(2x – 3)229.?30.?31.?32.?33.?Use synthetic division to find .34.?Write the expression in radical form.35.?Solve .36.?Graph , labeling the y-intercept, vertex, and axis of symmetry.37.?The shape of a supporting arch can be modeled by , where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base of the arch in meters. Find the maximum height of the arch.38.?Solve by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.39.?Solve by factoring.40.?Write a quadratic equation with and 4 as its roots.41.?Find the exact solutions to by using the Quadratic Formula.42.?Find the value of the discriminant for . Then describe the number and type of roots for the equation.43.?Identify the vertex, axis of symmetry, and direction of opening for .44.?Write in vertex form.45.?Graph .46.?Find p(–3) if .47.?Graph by making a table of values. Then estimate the x-coordinates at which the relative maxima and relative minima occur.49.?Use synthetic substitution to find f(–3) for .50.?One factor of is x + 4. Find the other factors.53.?Find (f + g)(x), (f – g)(x), (f g)(x), [f g](x) and [gf](x) for f(x) = 3x and g(x) = 4x – 3.54.?Find the inverse of f(x) = 7x – 2.Simplify the given expression.56.?(2x2 – 7x – 23) + (8x2 – 6)?a?10x2 – 29b?10x2 – 7x – 29?c?10x2 – 7x + 29d?10x2 – 7x – 17Simplify the expression using long division.57.?(8x2 – 17x + 2) ÷ (x – 2)?a?quotient 8x – 17 and remainder 2b?quotient 8x – 1 and remainder 0?c?quotient 8x – 1 and remainder –4d?quotient 8x + 1 and remainder 4Simplify the expression using synthetic division.58.?(4x3 – 71x2 + 306x – 360) ÷ (x – 12)?a?quotient 4x2 – 119x – 1122 and remainder 13,104?b?quotient 52x2 + 553x – 6,942 and remainder 82,944?c?quotient 4x2 – 23x + 30 and remainder 0?d?quotient 48x2 + 505x + 6,366 and remainder 76,03259.?Find p(–3) and p(3) for the function p(x) = 8x4 + 4x3 – 8x2 + 11x + 2.?a?437; 719b?–427; 287?c?481; 697d?435; 717For the given graph,a. describe the end behavior,b. determine whether it represents an odd-degree or even-degree polynomial function, andc. state the number of real zeros.60.???a?The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has five real zeros.?b?The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has five real zeros.?c?The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has four real zeros.?d?The end behavior of the graph is as and as .It is an even-degree polynomial function.The function has five real zeros.61.??a?The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has three real zeros.?b?The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has three real zeros.?c?The end behavior of the graph is as and as .It is an odd-degree polynomial function.The function has four real zeros.?d?The end behavior of the graph is as and as .It is an even-degree polynomial function.The function has three real zeros.63.?18a4b2 – 27a3b2?a?9(2a4b2 – 3a3b2)b?9a3b2(2a – 3)?c?a3b2(18a – 27)d?9a2b2(2a2 – 3)64.?38xy – 57y – 20x + 30?a?19y(2x – 3) – 20x + 30b?19y(2x – 3) – 10(2x – 3)?c?(19y?– 10)(2x – 3)d?(38xy – 57y) – (20x – 30)Solve the given equation. State the number and type of roots.65.?x2 + 2x – 80 = 0?a?The equation has two real roots, 8 and –10.?b?The equation has two real roots, –8 and –10.?c?The equation has two real roots, –8 and 10.?d?The equation has two real roots, 8 and 10.Answer Key1.?72.?N, W, Z, Q, R3.?284.?35.?g = the number of additional games to be won; ; at least six games6.?7.?all real numbers8.?199.?10.?11.?12.?Sample answer: using (2, 16) and (3, 10), n = –6p + 28; 113.?–314.?inconsistent15.?(–1, –3)16.?(2, 1)17.?18.?19.?16 bedroom sets 5 living room sets20.?21.?22.?23.?–1924.?(2, –3)25.?(3, –4)26.?27.?245x528.?29.?30.?31.?32.?33.?34.?35.?36.?37.?75 m38.?between –1 and 0; 239.?{–4, 6}40.?41.?42.?0; 1 real root43.?(–3, –5); x = –3; up44.?45.?46.?–21647.?Sample answer: rel. max at x = –2 and x = 1, rel. min. at x = 048.?10, –10; 49.?–8650.?x + 2; x – 551.?3 or 1; 2 or 0; 2 or 052.?53.?51; 5754.?55.?56.?b57.?b58.?c59.?a60.?b61.?b62.?c63.?b64.?c65.?a ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download