Semester One Review. FORMULAS Given on Exam! 3. What is the value of f(5), given the equation f(x) = x 2 4x + 1? Slope:

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1 FORMULAS Given on Exam!. What is equivalent to A. -(x )? B. (x + ) (x + ). Evaluate: A. + 7 B. C.. D.. = i. 6.6 ii. 6.6 iii. 6 iv. 6 E. + F. 0 + G. 9. ( ) H. ( + ) + ( + ) I. ( ) + = J. 9x 0 + y (when x = - and y = 6 ) K. Slope: Slope-Intercept: Point-Slope: y + z x when x =, y = -6, and z = 9 **Only TI-0 calculator allowed on exam!. What is the value of f(), given the equation f(x) = x x +?. Which of the following is true? r. s. 9 9 t. u Solve each equation: x = A. 7 i. ii. iii. iv. B. x x = 67 i. ii. 0 iii. iv. 7 x x C. + = 6 i. 0 ii. iii. 0 iv. 0 D. (x ) (x + ) = 0 E. x + = 9 F. x = 6 G.. x - 6 = H. x + - = I. x 6 + = 7 Page of 9

2 **Only TI-0 calculator allowed on exam! 6. Use the given property to complete each statement. A. According to the associative property of addition, (x + ) + y = B. According to the commutative property of multiplication, x = C. According to the distributive property, ( x ) = 7. Given a circle with circumference 00π what is the radius of the circle? (C = πd) A. 0 B. C. 0 D. 0. The sides of a triangle are x (cm), x+ (cm) and 7x- (cm). If the perimeter of the triangle is 0 (cm), what is the length of the shortest side of the triangle? 9. Which of the following numbers is irrational? 9, 0.,., 7 0. Solve for w: V = lwh lh A. w = V B. w= V l h V C. w = lh D. w = Vlh. Which is the translation of eight less than twice a number? A. 6x B. -x C. x- D. 6x. Translate: A. The product of five and four times a number is twelve. B. The quotient of three and five times a number is four. C. The difference of six and twice a number is five. D. The sum of twelve and a number is four.. Match: A. a slanted line B. a vertical line C. a horizontal line D. a lion who is lyin' I. a line with equation x= II. a line with equation y= III. a line with equation x + y=0 IV.. For the function f( x) =.x and the restricted domain {-,, 6}, what is the range?. What is the domain and range of the relation? {(,9),(,),(,)}. Is this relation a function (why or why not)? 6. Find the slope of the line through the points (-, ) and (-, ). A. B. - I like fractions Page of 9

3 C. D. 7. Solve each inequality (and graph on a number line): A. x 0 x+ B. x + 9 < C. + x < x 6 D. - (x + ) (x ) E. x 7 (multiple choice) r. x 0 or x 0 s. x 0 and x 0 t. x 0 or x u. x 0 and x F. x (not multiple choice) **Only TI-0 calculator allowed on exam!. Which equation is linear? a. y = x b. y = x c. y = x d. y = x. The equation of the line shown is A. y= x B. y = x C. y = x+ D. y= x+. For the line with equation x 6y = give the y-intercept. A. (-6, 0) B. (0, -6) C. (, 0) D. (0, ) E. (0, -). Graph each inequality on a number line. A. x < - or x B. x < or x > Match the graphs: A. y = x B. y = x+ C. y = x D. y = x+ 9. Graph each inequality on a number line. A. x < - and x B. x > - and x < G G 0. What is the domain and range of the graph to the right (y= x + )? G G Page of 9

4 . Which equation is of a line perpendicular to the graph of y= x 0? A. y = x 9 B. y = x+ 9 C. y = x D. y = x 6. A line parallel to y = x is A. y = x+ B. y= x C. y = x+ D. y= x+ 7. Which of the following ordered pairs is a solution to the equation is a solution to the equation y = x +7? A. (,7) B.(,) C. (,9) D.(,9). Which is the graph of the line with slope and which passes through the point (, -)? A. B. C. D. **Only TI-0 calculator allowed on exam! 9. What is the number of solutions to the system? y= x y = x + 6 A. one solution, intersecting lines B. no solution, parallel lines C. infinite solutions, same line D. none of these 0. What is the number of solutions of the system? y= x y = x + 7 A. one solution, intersecting lines B. no solution, parallel lines C. infinite solutions, same line D. none of these. The line with equation x y= 0 has what y-intercept? A. (0, 6) B. (6, 0) C. (-0, 0) D. (0, -0). What is the equation of the line in slope-intercept form for x+ y= A. y= x 0 B. y = 0x C. y = x+ D. y= x+ 0. For the equation x y = what is slope-intercept form? A. y = x+ B. y = x C. y = x+ D. y= x+. The line through the point (-, 6) with slope - is A. y = x B. y = x+ 6 C. y = x+ 6 D. y = x Page of 9

5 . $00 $00 $00 $00 In the graph above, the solid line shows the amount of money in Janice's bank account. The dotted line is the amount of money in George's bank account. Which of the two people, if they continue to save at the same rate, will reach $000 first? 6. If the horizontal axis is months, about how much money is in Janice's account at months? 7. Write the equation of the line below. a. y= b. y= - c. x= x d. x= -. For f( x) = x + x give f ( ). A. 7 B. -9 C. - D. 9. For of g () y Janice George gx () = x 9x+ give the value **Only TI-0 calculator allowed on exam! The graph above shows the height of the water in my fish tank, in cm on the first five days of the week. What is the approximate rate at which the height is changing? A. cm/day B. cm/day C. -00 cm/day D. - cm/day. In y = 7x the independent variable is and the dependent variable is.. A plumber charges $7 for a service call and $0 per hour for time spent. What is the rate of change for additional hours? What does the independent variable represent? a. the number of hours he spends in the visit b. the number of dollars your pay c. the number of dollars in the flat rate d. 7+0 hours. Three apples and two bananas cost $.00. Four apples and four bananas cost $.00. What is the cost of one apple? A. $ B. $0.7 C. $0.0 D. $0. days Page of 9

6 . Samuel is babysitting his little brother. At noon there are 00 M&Ms in a jar. At :00 p.m. there are 0 M&Ms in the jar. At :00, there are 60 M&Ms in the jar. What is the constant rate of change, in regard to the M&Ms? A. 00 m&m/hr B. -00 m&m/hr C. 0 m&m/hr D. -0 m&m/hr. In the problem above (#), which below tells the dependent variable? A. y, the number of M&Ms in the jar B. t, the time after noon C. b, the little brother D. s, Samuel 6. Which could be an equation for the amount of M&Ms in the jar at time t? A. m= 00 t B. m= 00 0t C. m= t D. m= 00t The slope of the linear equation for # represents what? A. the amount of M&Ms in the jar B. the change of hours from noon C. the change in M&Ms per hour D. the amount of time left until mom comes home and Sam is free. The line parallel to the line y = x+ 0 and which contains the point (-, 6) is A. y = x 0 B. y = x+ 6 C. y = x 0 D. y = x 9. What is the equation of the line (in slope-intercept form) through the points (, ) and (, 9 ) **Only TI-0 calculator allowed on exam! 0. A line perpendicular to the line y= 0x has what slope? A. 0 B. 0 C. D Which best describes the relationship between the lines in the system below: y = x + 6 and y = x - 6. To solve the following system by elimination method what could be the first step? x + y = x + 7y = 0 A. multiply the first equation by 7 and add B. multiply the first equation by and add C. multiply the first equation by - and add D. multiply the first equation by -7 and subtract. To solve the system by substitution method, which could be the result of the substitution step? x+ y = 0 x y = A. ( y+ 0) y= B. (y 0) y= C. (0 + y) y= D. (0y+ ) y=. What is the solution to the system of linear equations? x + y = 6 x + y =? r. (-, ) s. (0, ) t. (, 0) u. (-, ) Page 6 of 9

7 . Juan bought pounds of chocolate and pounds of peanuts for $6. At the same store, Jean bought pounds of chocolate and pounds of peanuts for $. What is the price of one pound of chocolate? 6. A school is selling tickets to a musical. On the first day of ticket sales the sold senior citizen tickets and child tickets for a total of $6. The school took in $ on the second day by selling senior citizen tickets and child ticket. What is the price of senior citizen ticket? 7. Match: A. lines with the same slope, same y-intercept B. lines with the same slope, different y-intercepts C. lines with different slopes, same y-intercept **Only TI-0 calculator allowed on exam! 9. Match each type of line with the given type of slope. A. Horizontal line i. Positive slope B. Vertical C. Line slanted upward from left to right D. Line slanted downward from left to right 60. Choose the line(s) below which are perpendicular to the line with equation y = x +. i. y = x iv. y x= ii. y = x + 7 v. y = x+ iii. y = x 9 vi. y x= 6. What is the equation of the graph? ii. Negative slope iii. Zero slope iv. Undefined slope D. lines with different slopes, different y-intercepts. intersecting lines, one solution. same line, infinite solutions. parallel lines, no solution. Choose the line(s) below which are parallel to the line with equation y = x +. i. x = y iv. y= x ii. y = x + 7 v. y= x A. C. y y = x + B. = x D. y= ( x ) y= ( x+ ) iii. y = x 9 vi. y x= Page 7 of 9

8 6. **Only TI-0 calculator allowed on exam! 70. Determine if the graph represents a function. A. What is the solution for each system? (, ) (, ) B. (, ) 6. Which is the equation of a vertical line? a. y = x + c. x = b. y = x d. y = - 7. What is the inequality of the graph below? 6. What are the coordinates of the y- intercept of x y = 7? 6. What is the slope of the line that passes through ( -, ) and ( -, -)? 66. What is the transformation of f(x) = x to g(x) = x? 67. What is the transformation of f(x) = x to g(x) = ( x + )? 6. What is the transformation of f(x) = x to g(x) = ( x )? A. y x+ B. y x+ C. y x+ D. y x+ 69. What is the transformation of f(x) = x to g(x) = ( x + )? Page of 9

9 **Only TI-0 calculator allowed on exam! 7. Which ordered pair is a solution to the system of inequalities? y x + y < - x + a. (-6,) b.(-,-) c.(,0) d.(6,) 7. Graph the solution to the system of inequalities. A. x > y B. y < x y x + Page 9 of 9