3) y = - 1 x + 2 and state the intercept(s), if any.

Transcription

1 Chapter 1, Sections 1-3 Review Match the story with the correct figure. 1) Mark started out by walking up a hill for minutes. For the next minutes he walked down a steep hill to an elevation lower than his starting point. For the next 10 minutes he walked on level ground. For the next 10 minutes he walked uphill. Determine which graph of elevation above sea level versus time illustrates the story. A) Name D) Match the correct viewing rectangle dimensions with the figure. ) B) A) [-10,, 1] by [-10,, 1] B) [-,, ] by [-,, ] C) [-1, 1, 1] by [-1, 1, 1] D) [-,, 1] by [-,, 1] Graph the equation. 3) y = - 1 x + and state the intercept(s), if any. 3 C) 1

2 4) y = x - 7) y = - and state the intercept(s), if any. ) y = - x - 1 and state the intercept(s), if any. 8) y = 1 x and state the intercept(s), if any. 6) y = x3 -

3 The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. 16) 3 - ( - ) = 4x 17) (x + 9) + = 3(x + 8) Solve the equation. 18) x = x Find all values of x such that y = 0. 19) y = [x - (3x - 9)] - 4(x - 9) Solve the equation. 0) x + 9 = 3 - x - 3 First, write the value(s) that make the denominator(s) zero. Then solve the equation. 1) 9 x + 8 = 3 x ) At what time was the temperature the highest? A) 11 a.m. B) p.m. C) 1 p.m. D) p.m. 10) At what time was the temperature 7? A) 10 a.m. B) 9 a.m. C) 6 p.m. D) 9 a.m. and 10 a.m. 11) During which two hour period did the temperature increase the most? A) 10 a.m. to 1 p.m. B) 1 p.m. to p.m. C) 9 a.m. to 11 a.m. D) 10 a.m. to 11 a.m. Determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 1) 6x + 8x = 13x 13) (4x - 3) = 0x ) 3x x - 6 = 8x + 3x - 1 Solve and check the linear equation. 1) x (x + 1) = -x + ) 6 x = x + 8 3) 3 x + 7 = 1 x ) ) 4 x x - = 1 (x + )(x - ) 6 x = 3 x - 1 Find all values of x satisfying the given conditions. 6) y1 = 3 x + 4, y = x - 4, y 4 3 = x - 16, and y 1 - y = y3 Solve the problem. 7) The U.S. Maritime Administration estimated that the cost per ton of building an oil tanker could be represented by the model y = 10,000, where y is the cost in dollars per x + 30 ton and x is the tons (in thousands). What size of oil tanker (in thousands of tons) can be built for $30 per ton? 3

4 Use the five-step strategy for solving word problems to find the number or numbers described in the following exercise. 8) When a number is decreased by 0% of itself, the result is 648. What is the number? Solve the problem. 9) You inherit $10,000 with the stipulation that for the first year the money must be invested in two stocks paying 6% and 11% annual interest, respectively. How much should be invested at each rate if the total interest earned for the year is to be $900? 30) A train ticket in a certain city is $3.00. People who use the train also have the option of purchasing a frequent rider pass for $18.7 each month. With the pass, each ticket costs only $.. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass. 31) A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 3 feet longer than the length of a shelf. If 18 feet of lumber is available for the entire unit (including the shelves, but NOT the back of the bookcase), find the length and height of the unit. 34) V = 1 Bh for h 3 3) P = A 1 + rt for r 36) P = L + W for W 37) F = 9 C + 3 for C 38) A = 1 h(a + b) for a 39) Describe the transformations of the parent graph to become y = (x+3) - 1. (What direction and amount did the parent graph have to shift? How did the steepness change? Did it reflect over either axis?) 40) Write a quadratic equation that transforms the graph of y = (x+3) - 1 so that it is: (Always return to the original equation and only change one part for each transformation.) a. units up: b. 4 units down: c. 8 units to the left: d. units to the right: e. Narrower: f. Wider: Solve the formula for the specified variable. 3) P = s1 + s + s3 for s1 g. Opening in the opposite direction: 33) 1 a + 1 b = 1 c for c 4

5 Answer Key Testname: CHAPTER 1, SECTIONS 1-3 REVIEW 1) B ) D 3) 4) )

6 Answer Key Testname: CHAPTER 1, SECTIONS 1-3 REVIEW 6) 7) 8) 9) C 10) B 11) C 1) Conditional equation 13) Identity 14) Inconsistent equation 1) 13 16)

7 Answer Key Testname: CHAPTER 1, SECTIONS 1-3 REVIEW 17) {- 13} 18) 40 19) {9} 0) {1} 1) x 0; - 16 ) x 0; 1 8 3) x 0; ) x -, ; ) x 1; 6) {-18} 7) 70 thousand tons 8) 810 9) $4000 invested at 6%; $6000 invested at 11% 30) times 31) length = feet; height = feet 3) s1 = P - s - s3 33) c = ab a + b 34) h = 3V B 3) r = A - P Pt 36) W = P - L 37) C = (F - 3) 9 38) a = A - hb h 39) : makes the graph of the function steeper than the graph of the parent function +3: shifts the graph of the parent 3 units to the left -1: shifts the parent function down one unit There were no reflections. 40) a. y = (x+3) + 4 b. y = (x+3) - c. y = (x+11) - 1 d. y = (x+1) - 1 e. y = 10(x+3) - 1; "a" > f. y = 0.(x+3) - 1; "a" < g. y = -(x+3) - 1 7