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A. What is the value of (y – x)3 – 12 if x = –3 and y = –4? A. –19 B. –11 C. –13 D. 13 A. B. C. D. A B C D B. What is the value of x – y2(x + 5) if x = 2 and y = 4? A. –110 B. –98 C. –54 D. –25 A. B. C. D. A B C D C. A. –23 B. –19 C. 19 D. 23 A. B. C. D. A B C D A. 450 cm3 1. 2. 3. 4. B. 75 cm3 0% C. 50 cm3 D. 10 cm3 A B C D A B C D CHOCOLATE Joel went to the grocery store and bought 3 plain chocolate candy bars for $0.69 each and 3 chocolate-peanut butter candy bars for $0.79 each. How much did Joel spend altogether on candy bars? A. $2.86 B. $4.44 C. $4.48 D. $7.48 A. B. C. D. A B C D Which expression is equivalent to 2(3x – y) + 4(2x + 3y)? A. 14x + 10y B. 14x + 2y C. 14x + y D. 11x + 2y A. B. C. D. A B C D A. Write an algebraic expression to represent the verbal expression 6 more than a number. A. 6x B. x + 6 C. x6 D. x – 6 1. 2. 3. 4. A B C D B. Write an algebraic expression to represent the verbal expression 2 less than the cube of a number. A. x3 – 2 3 B. 2x C. x2 – 2 D. 2 + x3 1. 2. 3. 4. A B C D A. What is a verbal sentence that represents the equation n – 3 = 7? A. The difference between a number and 3 is 7. B. The sum of a number and 3 is 7. C. The difference of 3 and a number is 7. D. The difference of a number and 7 is 3. 1. 2. 3. 4. A B C D B. What is a verbal sentence that represents the equation 5 = 2 + x? A. Five is equal to the difference of 2 and a number. B. Five is equal to twice a number. C. Five is equal to the quotient of 2 and a number. D. Five is equal to the sum of 2 and a number. 1. 2. 3. 4. A B C D A. What is the solution to the equation x + 5 = 3? A. –8 B. –2 C. 2 D. 8 A. B. C. D. A B C D B. What is the solution to the equation A. 5 B. C. 15 D. 30 A. B. C. D. A B C D What is the solution to 25 = 3(2x + 2) – 5(2x + 1)? A. –6 B. C. D. 6 A. B. C. D. A B C D GEOMETRY The formula for the perimeter of a rectangle is where P is the perimeter, and w is the width of the rectangle. What is this formula solved for w? A. B. C. D. A. B. C. D. A B C D If 2x + 6 = –3, what is the value of 2x –3? A. 12 B. 6 C. –6 D. –12 A. B. C. D. A B C D HOME IMPROVEMENT Kelly wants to repair the siding on her house. Her contractor will charge her $300 plus $150 per square foot of siding. How much siding can she repair for $1500? A. 100 ft2 B. 10 ft2 C. 8 ft2 D. 4.5 ft2 A. B. C. D. A B C D A. 18.3 B. 1.7 C. –1.7 D. –13.7 A. B. C. D. A B C D What is the solution to |2x + 5| = 15? A. 5 B. –10, 5 C. –5, 10 D. –5 1. 2. 3. 4. A B C D A. B. C. D. 1. 2. 3. 4. A B C D A. B. C. D. A. B. C. D. A B C D Which graph represents the solution to 6x – 2 < 5x + 7? A. B. C. D. A. B. C. D. A B C D What is the solution to –3x 21? A. x | x –7 B. x | x –7 C. x | x 7 D. x | x 7 1. 2. 3. 4. A B C D A. B. C. D. 1. 2. 3. 4. A B C D RENTAL COSTS Jeb wants to rent a car for his vacation. Value Cars rents cars for $25 per day plus $0.25 per mile. How far can he drive for one day if he wants to spend no more that $200 on car rental? A. up to 700 miles B. up to 800 miles C. more than 700 miles D. more than 800 miles A. B. C. D. A B C D What is the solution to 11 2x + 5 < 17? A. B. C. D. A. B. C. D. A B C D What is the solution to x + 5 < 1 or –2x –6? Graph the solution set on a number line. A. B. C. D. 1. 2. 3. 4. A B C D What is the solution to |x| < 5? A. {x|x > 5 or x < –5} B. {x|–5 < x < 5} C. {x|x < 5} D. {x|x > –5} 1. 2. 3. 4. A B C D What is the solution to |x| > 5? A. B. C. D. A. B. C. D. A B C D What is the solution to |3x – 3| > 9? Graph the solution set on a number line. A. B. C. D. A. B. C. D. A B C D What is the solution of the system of equations? x+y=2 x – 3y = –6 A. (1, 1) A. A B. (0, 2) B. B C. (2, 0) C. C D. (–4, 6) D. D Which graph shows the solution to the system of equations below? x + 3y = 7 x–y = 3 A. A A. C. B. B C. C D. D B. D. Graph the system of equations below. What type of system of equations is shown? x+y=5 2x = y – 11 A. A A. consistent and independent B. B B. consistent and dependent C. C C. consistent D. D D. none of the above Graph the system of equations below. What type of system of equations is shown? x+y=3 2x = –2y + 6 A. A A. consistent and independent B. B B. consistent and dependent C. C C. inconsistent D. D D. none of the above Graph the system of equations below. What type of system of equations is shown? y = 3x + 2 –6x + 2y = 10 A. A A. consistent and independent B. B B. consistent and dependent C. C C. inconsistent D. D D. none of the above Solve the system of equations using substitution. What is the solution to the system of equations? x – 3y = 2 x + 7y = 12 A. (1, 5) B. C. (8, 2) D. (5, 1) A. A B. B C. C D. D AMUSEMENT PARKS At Amy’s Amusement Park, tickets sell for $24.50 for adults and $16.50 for children. On Sunday, the amusement park made $6405 from selling 330 tickets. How many of each kind of ticket was sold? A. A A. 210 adult; 120 children B. B B. 120 adult; 210 children C. C C. 300 children; 30 adult D. D D. 300 children; 30 adult Use the elimination method to solve the system of equations. What is the solution to the system? x + 3y = 5 x + 5y = –3 A. (2, –1) A. A B. (17, –4) B. B C. (2, 1) C. C D. no solution D. D Use the elimination method to solve the system of equations. What is the solution to the system of equations? x + 3y = 7 2x + 5y = 10 A. A. A B. (1, 2) B. B C. (–5, 4) C. C D. no solution D. D Use the elimination method to solve the system of equations. What is the solution to the system of equations? 2x + 3y = 11 –4x – 6y = 20 A. (1, 3) A. A B. (–5, 0) B. B C. (2, –2) C. C D. no solution D. D What is the solution to the system of equations shown below? 2x + 3y – 3z = 16 x + y + z = –3 x – 2y – z = –1 A. A. A B. (–3, –2, 2) B. B C. (1, 2, –6) C. C D. (–1, 2, –4) D. D Which graph is the graph of f(x) = 2x2 + 3x + 2? A. B. C. D. 1. 2. 3. 4. A B C D A. Consider the quadratic function f(x) = 3 – 6x + x2. Find the y-intercept, the equation of the axis of symmetry and the x-coordinate of the vertex. A. y-intercept = 3, axis of symmetry : x = –3, x-coordinate = –3 B. y-intercept = –3, axis of symmetry : 1. x = 3, x-coordinate = 3 2. C. y-intercept = 3, axis of symmetry :3. x = 3, x-coordinate = 3 4. D. y-intercept = –3, axis of symmetry : x = –3, x-coordinate = –3 A B C D A. Consider the function f(x) = x2 + 4x – 1. Determine whether the function has a maximum or a minimum value. A. maximum B. minimum C. both D. none 1. 2. 3. 4. A B C D B. Consider the function f(x) = x2 + 4x – 1. What is the maximum or minimum value of the function? A. –5 B. –1 C. 5 D. none 1. 2. 3. 4. A B C D C. Consider the function f(x) = x2 + 4x – 1. What are the domain and range of the function? A. domain: all real numbers; range: y ≥ –5 B. domain: all real numbers; range: y ≤ –5 C. domain: x ≥ –5; range: all real numbers D. domain: x ≤ –5; range: all real numbers 1. 2. 3. 4. A B C D Which answer choice shows the graph and the solution to x2 + 2x – 3 = 0? A. B. C. D. A. B. C. D. A B C D Solve x2 – 6x = –9 by graphing. A. C. B. D. 1. 2. 3. 4. A B C D NUMBER THEORY What are two real numbers whose sum is 7 and whose product is 14? A. 7, 2 B. –7, –2 C. 5, 2 D. no such numbers exist 1. 2. 3. 4. A B C D Solve x2 – 4x + 2 = 0 by graphing. What are the consecutive integers between which the roots are located? A. 0 and 1, 3 and 4 B. 0 and 1 C. 3 and 4 D. –1 and 0, 2 and 3 A. B. C. D. A B C D A. B. C. D. A. B. C. D. A B C D A. Factor the polynomial 2x2 – 9x – 5. A. (2x – 1)(x – 5) B. (2x + 1)(x – 5) C. (2x + 1)(x + 5) D. (2x – 1)(x + 5) 1. 2. 3. 4. A B C D B. Factor the polynomial a3b3 + 64. A. (ab + 4)(a2b2 – 4ab + 16) B. (ab – 4)(a2b2 + 4ab + 16) C. (a2b2 + 4)(a2b2 – 4ab + 16) D. (a2b2 – 4)(a2b2 + 4ab + 16) 1. 2. 3. 4. A B C D A. Solve x2 = 3x by factoring. A. {0} B. {3} C. {0, 3} D. {1, 3} A. B. C. D. A B C D B. Solve 6x2 + 11x = –4 by factoring. A. B. C. D. A. B. C. D. A B C D Solve x2 + 10x = –25 by factoring. A. {–5, 5} B. {–10} C. {5} D. {–5} 1. 2. 3. 4. A B C D