Final Exam MAT 100 JS 2018

Transcription

1 Final Exam MAT 100 JS 2018 Miles College T Dabit MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. 1) A) irrational, real B) real C) natural, rational, real D) rational, real Multiply or divide as indicated. Write the answer in lowest terms. 2) A) 6 B) C) D) ) A) B) 7 9 C) D) Add or subtract as indicated. Write the answer in lowest terms. 4) A) B) 19 9 C) D) 13 9 Simplify the expression using Order of Operations. 5) A) 31 8 B) C) D) 7 2 Solve the equation. 6) 3r + 6 = 24 A) 6 B) 2 C) 15 D) 19 7) x = 17 A) 15 B) 54 C) 152 D) 150 8) 6(3x - 1) = 24 A) B) 5 3 C) D) 1 9) 4(y + 2) = 5(y - 6) A) 22 B) -22 C) 38 D) -38 1

2 Solve the inequality. Graph the solution set and write it in interval notation. 10) -7x + 6 > -8x + 9 A) (-, 3) B) [15, ) C) (3, ) D) (-, 15] Use the slope-intercept form to graph the equation. 11) y = 5 6 x - 5 A) B) C) D) 2

3 Find the x - and y - intercepts. Then plot the intercepts to graph the linear equation. 12) y x = 4 A) B) C) D) 3

4 Graph the linear equation. 13) y = 4 A) B) C) D) Find the slope of the line using whichever method fits the situation (Delta, finding m in the equation, or looking at the graph). 14) (6, -9) and (-1, 1) A) m = B) m = C) m = 10 7 D) m = ) -x + 8y = 40 A) m = 8 B) m = 1 8 C) m = -1 D) m =

5 16) A) m = 1 B) m = -1 C) undefined slope D) m = 0 Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units. 17) The graph shows the total cost y (in dollars) of owning and operating a mini-van where x is the number of miles driven. A) $4.00 per mile B) $0.25 per mile C) $30.00 per mile D) cannot be determined Determine whether the pair of lines is parallel, perpendicular, or neither. 18) y = -5x - 8 y = 5x - 1 A) parallel B) perpendicular C) neither 19) 3x - 2y = 17 2x + 3y = 12 A) parallel B) perpendicular C) neither 5

6 Write an equation of the line in y = mx + b with the given slope, m, and / or y-intercept (0, b). 20) m = 4, b = 8 A) y = 8x + 4 B) y = -8x - 4 C) y = -4x - 8 D) y = 4x ) Slope 4, through (-3, 2) A) x = 4y - 14 B) y = 4x + 14 C) x = 4y + 14 D) y = 4x ) Through (-2, -22) and (3, 8) A) y = 6x - 10 B) y = -6x - 34 C) y = 1 6 x D) y = x Solve. Assume the exercise describes a linear relationship. 23) When making a telephone call using a calling card, a call lasting 4 minutes costs $1.30. A call lasting 14 minutes costs $3.30. Let y be the cost of making a call lasting x minutes using a calling card. Write a linear equation that models the cost of making a call lasting x minutes. A) y = 0.2x B) y = -0.2x C) y = 5x D) y = 0.2x Evaluate the expression with the given replacement values. 24) -6x 3 y; x = 4 and y = -2 A) 768 B) 192 C) -768 D) ) 4x 2 ; x = 6 A) 48 B) 576 C) 144 D) 96 Solve the system of equations by graphing. 26) y = x - 3 y = 3x + 3 A) (-6, -3) B) no solution C) (-3, -6) D) (3, 6) 6

7 27) 2x - y = -7 y = 1 A) (-3, 1) B) no solution C) (3, -1) D) (1, -3) Use the product, quotient, or power rule to simplify the expression. Write the result using only POSITIVE exponents. 28) x 2 x 8 A) x 8 B) x 11 C) x 10 D) x 2 29) (4p 5 ) 3 A) 64p 15 B) 64p 5 C) 64p 8 D) 4p 15 30) d9 d A) d 10 B) 9 C) d 9 - d D) d 8 31) (4x 3 y 3 ) 2 A) 16x 5 y 5 B) 4x 6 y 6 C) 16x 6 y 6 D) 4x 5 y 5 32) (8p9)(-7p8) A) 56p17 B) 56p72 C) -56p72 D) -56p17 33) pm7 q3 5 A) pm 35 q15 B) p 5m12 q8 C) pm 12 q8 D) p 5m35 q15 34) (12b) 0 A) b B) 12 C) 0 D) 1 35) z A) z + 7 B) 8 C) 0 D) 2 7

8 36) 3a9 b 5 c 10 abc A) a8 b 4 c 9 3 B) 3a8 b 4 c 9 abc C) 3a 8 b 4 c 9 D) 3a 10 b 6 c 11 Simplify the expression. Write the result using positive exponents only. 37) r -3 A) r 1/3 B) 1 r 3 C) - 1 r 3 D) -r 3 38) (x-2y5)-2 A) x -4 y3 B) 1 x4y10 C) y3 x-4 D) x4 y10 Polynomial Vocabulary 39) A polynomial with exactly 2 terms is called a. A) monomial B) FOIL C) binomial D) trinomial 40) A polynomial with exactly 3 terms is called a. A) FOIL B) monomial C) trinomial D) binomial Add or subtract the following polynomials. 41) (2y 5-7y 4-2) + (7y 5-9y 4 + 2) A) 9y 10-16y 8 B) 9y 5-16y 4 C) -7y 9 D) -7y 18 42) (9x 3 + 9x 2 + 4x + 6) + (4x 3 + 2x + 8) A) 13x 3 + 6x + 14 B) 13x 3 + 9x 2 + 6x + 14 C) 4x x x + 6 D) 13x x 2 + 8x + 6 Add or subtract the following polynomials. 43) (4n7-3n6 + 13) - (9n7-10n6-10) A) -5n7 + 6n6 + 3 B) -5n7 + 7n C) -5n7 + 7n6 + 3 D) 25n13 Multiply the following polynomials. 44) 5x(-8x 2-3x + 2) A) -40x 3-15x B) -40x 3-15x x C) -40x 2-15x + 10 D) -40x 3-3x ) (b - 10)(b + 2) A) b 2 + 8b + 20 B) b 2-8b - 20 C) 2b - 20 D) 2b ) (a - 3)(a 2 + 3a - 7) A) a 3-16a + 21 B) a 3 + 2a - 21 C) a 3-6a 2-16a + 21 D) a 3 + 6a a

9 47) (a - 10)(a + 10) A) a2-20 B) a2 + 20a C) a2-100 D) a2-20a ) (y - 5)2 A) y B) y + 25 C) 25y2-10y + 25 D) y2-10y + 25 Perform the division. 49) 12x 7-28x5 4x3 A) 3x4-7x2 B) -4x9 C) 12x7-7x2 D) 3x4-28x5 50) 20x 12-10x8 5x4 A) 20x12-2x4 B) 4x8-2x4 C) 2x16 D) 4x8-10x8 9

10 Answer Key Testname: FINAL EXAM SPRING 2018 MA 100 1) D Objective: (3) Identify natural, whole, integers, rational, irrational, and real numbers. 2) D Objective: (3) Multiply and divide fractions. 3) B Objective: (3) Multiply and divide fractions. 4) C Objective: (4) Add and subtract fractions. 5) D Objective: (4) Evaluate expressions using real numbers. 6) A Objective: (3) Use both properties of equality to solve linear equations. 7) B Objective: (3) Use both properties of equality to solve linear equations. 8) B Objective: (1) Apply a general strategy for solving a linear equation. 9) C Objective: (1) Apply a general strategy for solving a linear equation. 10) C Objective: (2) Solve linear inequalities. 11) C Objective: (1) Use the slope-intercept form to graph a linear equation. 12) D Objective: (2) Graph a linear equation by finding and plotting intercepts. 13) B Objective: (3) Identify and graph vertical and horizontal lines. 14) A Objective: (1) Find the slope of a line given two points of the line. 15) B Objective: (4) Find the slope of a line given its equation. 16) C Objective: (3) Find the slopes of horizontal and vertical lines. 17) B Objective: (6) Use slope as a rate of change. 18) C Objective: (5) Compare the slopes of parallel and perpendicular lines. 19) B Objective: (5) Compare the slopes of parallel and perpendicular lines. 20) D Objective: (2) Use the slope-intercept form to write the equation of a line. 21) B Objective: (3) Use the point-slope form to find an equation of a line given its slope and a point of the line. 22) A Objective: (4) Use the point-slope form to find an equation given two points of the line. 23) D Objective: (6) Use the point-slope form to solve problems. 10

11 Answer Key Testname: FINAL EXAM SPRING 2018 MA ) A Objective: (1) Evaluate exponential expressions. 25) C Objective: (1) Evaluate exponential expressions. 26) C Objective: (2) Solve a system of linear equations by graphing. 27) A Objective: (2) Solve a system of linear equations by graphing. 28) C Objective: (2) Use the product rule for exponents. 29) A Objective: (4) Use the power rules for products and quotients. 30) D Objective: (5) Use the quotient rule for exponents. 31) C Objective: (4) Use the power rules for products and quotients. 32) D Objective: (2) Use the product rule for exponents. 33) D Objective: (4) Use the power rules for products and quotients. 34) D Objective: (6) Use the definition of a number raised to the 0 power. 35) D Objective: (6) Use the definition of a number raised to the 0 power. 36) C Objective: (7) Decide which rule(s) to use to simplify an expression. 37) B Objective: (1) Simplify expressions containing negative exponents. 38) D Objective: (2) Use all the rules and definitions for exponents to simplify exponential expressions. 39) C Objective: (1) Vocabulary Check 40) C Objective: (1) Vocabulary Check 41) B Objective: (4) Add and subtract polynomials. 42) B Objective: (1) Chapter Test 43) B Objective: (4) Add and subtract polynomials. 44) B Objective: (2) Use the distributive property to multiply polynomials. 45) B Objective: (1) Multiply two binomials using the FOIL method. 46) A Objective: (2) Use the distributive property to multiply polynomials. 11

12 Answer Key Testname: FINAL EXAM SPRING 2018 MA ) C Objective: (3) Multiply the sum and difference of two terms. 48) D Objective: (2) Square a binomial. 49) A Objective: (1) Divide a polynomial by a monomial. 50) B Objective: (1) Divide a polynomial by a monomial. 12