Name: Date: Block: Midterm Exam Review Sheet 1

Transcription

1 Name: Date: Block: Midterm Exam Review Sheet 1 Chapter 1 1. Write a variable expression for 2. Simplify: seven divided by the sum of x and five 3. Write an algebraic expression for 4. Write an algebraic expression for three less than five times a number x three times the difference of a number x and 5 5. When the product of 4 and a number is 6. Simplify: ( 7) [ (2 3)] decreased by 5, the result is 12. Find the number. 7. Simplify: [ (4 + 3)] 2 8. Evaluate: n 3 when n is 5 Chapter 2 9. Between which two real numbers does 10. Simplify: lie on the number line? 11. Simplify: Approximate and graph Find the product: ( 7)(3x)( 6) 14. Find the product: 8

2 15. Simplify: 720 (4 9 3) 16. Find the product: ( 8) 17. Simplify: Simplify: x y 2-2x + y where x = 24 and y = Simplify: 3(2 x) 2(3 x) 20. Find the product: (3x)( 4y)( 5) Chapter 3 Questions Solve each of the following equations for the variable x + 4 = n + 16 n = z = 5 + 8z 24. 5x 9 = x x x = 9 (4x + 2) 26. (5x + s)- 3(x +1) = 2(x - 7)

3 Name: Date: Block: Midterm Exam Review Sheet 2 Chapter Solve: 4x 6 x 3 (12 2 x) 2. The trapezoid below has a perimeter of 30inches. 3 2 What are the dimensions of the figure? x + 2 x 3x Write the equation 7 = t + 8s as a function of s. 4. Write 9x 4y = 5 as a function of y. 5. Solve for v: pv nrt 6. Solve for x: 2 5 x 4 x 2 Chapter 4 7. Graph: x = 3 8. Graph: 6y + 12 = 0

4 2 9. Which point lies on the graph of 2x y 3? 10. Write the equation for the vertical line passing 3 through the point ( 5, 2). ( ) or ( ) 11. State the x and y intercepts of: 7x + y = State the x and y intercepts of: y = 7x Find the slope of the line passing through 14. Find the slope of the line passing through the points A( 5, 6) and B(2, 7). the points A(6, 5) and B( 4, 7). 15. Find the slope of the line that is parallel to 16. Find the slope of the line perpendicular to the the line that contains (9, 7) and (9, 9). line that goes through the (4, 7) and ( 6, 2). 17. Rewrite the equation in slope intercept form. 18. Rewrite the equation in slope intercept form. 5x 2y 7 = 0 8x 3y 5 = 0

5 Name: Date: Block: Chapter 4 Midterm Exam Review Sheet 3 1. Find the slope and y intercept of the line: 2. Find the slope and y intercept of the line: 6x 3y = 36 4x + 2y = Solve for y and state the zero of the function: 4. State the zero of the function: 4x 5y = 0 f (x) = 2 3 x Write in slope intercept form and sketch the 6. Write in slope intercept form and sketch the line: 3x y 2 0 inequality: 4x + 2y 8 < 0 7. Solve for y in the equation 4x 8y = Find the slope and y intercept of the line Then determine if the line is perpendicular y = 5x 9. Is the line parallel to y = 5x 9? to the equation y = 2x + 6. Explain your Explain your answer. answer.

6 9. Given f x 2x 4 and g x f x 4. On the axes provided, graph and label f x and State the slope and y-intercept of each function. g x. 10. Is the relation {(1, 2), (3, 2), ( 6, 2)} a 11. Decide whether the information in the table function? Explain why or why not. below defines a function. If it does, state the domain of the function. input output Given the function: {(2,3),(1,2),(-3,4),(4,1) }, 13. Given the function: g( x) 3x 5, what is g( 4)? what is f (1)? Chapter Find an equation, in slope intercept form, 15. Write an equation in point-slope form of the of a line having slope 5 and y intercept 8. line with slope equal to 1 and y intercept of Write an equation in point-slope form of a 17. Find the y intercept of a line that passes line with a slope of 7 and passing through through (3, 1) and has a slope of 3. the point ( 7, 1). 18. Write an equation of the horizontal line that 19. Write the equation of the vertical line that passes through the point (7, 3). passes through the origin.

7 Name: Date: Block: Midterm Exam Review Sheet 4 Chapter 1 Questions 1-4 Translate each verbal phrase into an inequality and then solve. 1. The sum of 4x and 7 is less than or equal 2. Three times the difference of x and 2 is greater to 39. than Four less than double a number is at least Ten less a number is at most seven. Chapter 3 Questions 5 & 6 Write an inequality that is represented by the graph Questions 7-10 Solve each of the following inequalities. Then graph your solution. 7. a p y c 3 Chapter Chrissy makes a base salary of $450 a week. She also makes a commission of $45 for each Spray & Steam mop she sells. a) Write an equation that represents her total earnings (T) a week as a function of the number of mops (m) she sells. b) Find her total earnings if she sells 3 Spray & Steam mops in one week.

8 Questions Sketch a graph of each inequality. 12. y > 2x y 4x x + 4y x 3y > 6 Chapter Which of the following lines are parallel to each other? Line A: 2x 6y = 3 Line B: 6x + 2y = 3 Line C: 2x + 6y = Which of the following lines are perpendicular to each other? Line A: 2x 6y = 3 Line B: 6x + 2y = 3 Line C: -2x + 6y = 3 Statistics 18. In which data set is the median value equal 19. Find the mean, range, variance, standard to the mean value? deviation, and MAD for the following heights: A. {2, 4, 7, 9, 11} B. {7, 9, 10, 11, 16} mean range C. {6, 12, 18, 24, 27} variance D. {33, 40, 46, 52, 59} standard deviation MAD