1. Solve the following equation, please show your steps for full credit: (3.1)

Transcription

1 Ope Steiner Test 1 Practice Test Identif the choice that best completes the statement or answers the question. 1. Solve the following equation, please show our steps for full credit: (3.1) 1 1 (x + 5) = x Solve the following equation, please show our steps for full credit: (3.1) 0.05(x 200) = Solve for the indicated variable in the formula. (3.2) Volume of a pramid is Solve for h. 4. Write the equation of the line in slope intercept form that passes through the points and. (2.4) 5. The line with the slope 1/3 passing through the point (3, -1) can be written in the form =mx+b. Determine the value of b. (2.4)

2 Hertz Truck Rentals offers a midweek special on all of their truck rentals. To rent a 15-foot truck for one da, it will cost $29.66 plus $0.68 per mile driven. Let C be the cost of renting a 15-ft truck from Hertz for one da and driving the truck, m, miles. 6 Find an equation for the cost of renting from Hertz. (3.2) 7 How much would it cost to rent a 15 ft truck from Hertz for one da if ou were to drive it (3.2) 118 miles? 8. How man miles could ou drive the truck for the one da if ou could onl pa $79? Please round the answer to the nearest mile (it should make sense within the context of the problem). (3.2) 9. Write the equation for the line shown in the graph. Give our answer in slope-intercept form and use points that cross clearl on the graph. (2.3) x Solve the inequalit. (3.3) 5 3x x - 3

3 11. Use the graph to the find the following. (2.3) x a. Find the slope of the line. b. Is the line increasing or decreasing? c. Estimate the vertical () intercept. d. Estimate the horizontal (x) intercept. 12. (2.1) a) Find f(-4) b) Find x such that f(x) = Graph the following linear equation using slope-intercept form: (2.3) = -2x + 3 slope = intercept =

4 14. Graph the following linear equation using slope-intercept form: (2.3) = 1 x 4 slope = intercept = Graph the solution set for the sstem of equations. State the solution (x, ). Describe the sstem (consistent, inconsistent) and (dependent or independent). (4.1) = -x + 2 = x

5 16. Use the graphs to find the solution to the sstem of equations. Write the solution as a coordinate pair. (4.1) x Find the intercepts and graph the line of the following equation. Label the vertical () and horizontal (x) intercepts on the graph. (3.1) x_intercept -intercept x 18. Solve the sstem of equations using the elimination method. Show our steps for full credit. (4.2)

6 19. Solve the sstem of equations using the substitution method. Show our steps for full credit. (4.2) = 2x x + = Graph the solution set for the sstem of linear inequalities. (4.3) x

7 21. Sall purchased cand at the grocer store and bought a total of 60 bags for $145. She bought two kinds of cand: M & M s at $3 per bag and Hershe Kisses at $2 per bag. How man of each tpe did she purchase? Show our work for full credit. (4.2) M & M s: Hershe Kisses: 22. Write the equation for the table of values in slope intercept form (= mx +b) (2.4) x f(x)

8 Steiner Formulas: Slope = 2 1 x2 x1 rise = run Slope Intercept form = mx + b m = slope b = intercept Point Slope formula point (x1, 1) slope = m 1 = m(x x1)

9 1313 Answer Section 1. X = X = h= 3V/B 4. = -x b=-2 =mx+b (plug in m= 1/3, plug in and x then solve for b) 6. C = m 7. $ miles 9. = 3x x 2 (-, 2] 11. a. b. decreasing c. (0, 2) d. (3, 0) 12) a) f(-4) = 26 b) If f(x) = -5, then 13. slope = -2/1 int = 3 points on graph (0,3) and (1, 1) 14).slope = 1/3 int = -4 points on graph (0, -4) and (3, -3) 15. (1,1) consistent sstem, independent lines 16. (2, 0)

10 17. -intercept (0, -3) x-intercept (8, 0) (8, 0) x 1 2 (0, -3) (2, -2) 19. (7, 14) 20. first line: 1/3x + 4, dash line with points at (0, 4) and (3, 5) shade below line Second line: 1/3x 4, solid line with points (0, -4) and (3, -3) shade above line Solution set is between both lines 21. m & m: 25 bags Hershe kisses: 35 bags 22. =-x + 2