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CT Algebra 1-1 Ch 45 Test In-class Review 2016 Name ________________________________ 1. Write the equation in slope-intercept form using the given information. a. Slope is -9 and the y-intercept is -7 b. m = 2 and (12, -4) 3 Equation_____________________ Equation_____________________ c. (8, -6) and (-5, -6) d. (8, -8) and (4, -9) Equation_____________________ Equation_____________________ e. Slope is undefined and (-3, 15) f. (2, -4) and (3, -8) Equation_____________________ Equation_____________________ g. m = -9 and the y-intercept is 0 h. The slope is 7 and (-6, 4) Equation_____________________ Equation_____________________ 1a. Write the equation in slope-intercept form using the given information. a. Slope is -4 and the y-intercept is -2 b. m = 3 and (10, -6) 5 Equation_____________________ Equation_____________________ c. (-2, 5) and (-3, 7) d. (1, 9) and (-4, 9) Equation_____________________ Equation_____________________ e. Slope is undefined and (8, -3) f. (4, -6) and (8, -8) Equation_____________________ Equation_____________________ g. The slope is 6 and (-3, -1) h. m = -4 and the y-intercept is 0 Equation_____________________ Equation_____________________ 2. Write each equation in slope-intercept form using the information given: a. Equation_____________________ b. Equation_____________________ c. Equation_____________________ d. e. f. Equation_____________________ Equation_____________________ Equation_____________________ 3. Overnight a huge blizzard dumped snow on the ground. When the sun comes out, it melts. The graph below shows the relationship between the amount of snow on the ground and the number of hours it is melting. a) Identify and interpret the slope. Sn ow on the gro un d (in ch es) m = _______; Interpret:____ __________________ __________________________________________ b) Identify and interpret the y-intercept. y-intercept ( , ); Interpret:____________ _______________________________________ c) Identify and interpret the x-intercept. x-intercept ( , ); Interpret:____________ _______________________________________ 2a. Write each equation in slope-intercept form using the information given: a. b. c. Equation_____________________ Equation_____________________ Equation_____________________ a. b. c. Equation_____________________ Equation_____________________ Equation_____________________ 3a. The linear function to the right shows the relationship between the number of hours that a candle burns and the height of the candle. a) Identify and interpret the slope. m = _______; Interpret:____ __________________ __________________________________________ b) Identify and interpret the y-intercept. y-intercept ( , ); Interpret:____________ _______________________________________ c) Identify and interpret the x-intercept. x-intercept ( , ); Interpret:____________ __________________________________________ 4. Graph: 3 a. y = x+2 4 d. y – 2 = -4(x + 1) b. y = -5x c. y = -3 e. -3x – y = 10 f. -4x + 2y = 8 5. Write the equation in Standard Form: Ax By C a. y = 5x – 9 b. y = -1/4x + 3 c. y = 2/5x – 6/5 6. Your choir is selling cookies and brownies to raise money for a trip to Florida. Each cookies costs $2 and each brownies costs $3. You made a total of $936 on your sales Write an equation in standard form representing this situation. Let x be the number of cookies and y be the number of brownies. 4a. Graph: 1 a. y x 4 6 d. 7 x 2 y 10 b. x 5 c. e. y 1 3( x 2) f. -2x – 3y = 6 5a. Write the equation in Standard Form: Ax By C a. y = -3x + 7 b. y = 2/3x – 4 c. y 3 / 4x y = 3/4x – 1/4 6a. Your school is sponsoring a pancake dinner to raise money for a field trip. The cost of an adult ticket is $25 and the cost of a child’s ticket is $12. You make a total of $3600. Write an equation in standard form representing this situation. Let x represent the number of adult’s ticket and y represent the number of children’s ticket. 7. To lease a car, you will pay a one-time deposit of $1850 plus $625 per month. Let x represent the number of months you lease the car and y the total cost. a. Write the equation of the line in slope intercept form that models this situation. 8. b. What would be the cost of leasing the car for a year? c. You have $10000 in savings for leasing the car, how long will it last? It took Joseph 7 months to save $675. In 15 months he had saved $1275. a) Identify your variables. b) Use the context of the problem to write the two ordered pairs. c) What is the slope of the line that models this situation? Include the label. d) Write a linear equation in point slope form that models the situation above. e) Write a linear equation in intercept form that models the f) What is the y-intercept of this line? Include the label. situation above. g) How much will Joseph have in 2 years? h) How many months will it take for him to have $1500? 7a. To rent an apartment, you will pay a one-time deposit of $1250 plus $825 per month. Let x represent the number of months you rent the apartment and y the total cost. a. Write a linear equation in intercept form that models the situation above. b. What would be the cost of renting the apartment for a year? c. You have $8000 in savings for apartment rental, how long will it last? 8a. You have decided to take drum lessons so that you can join a band. There is a cost per lesson plus a onetime fee. The cost for 10 lessons is $125 and the cost of 16 lessons is $317. a) Identify your variables. b) Use the context of the problem to write the two ordered pairs. c) What is the slope of the line that models this situation? Include the label. d) Write a linear equation in point slope form that models the situation above. e) Write a linear equation in intercept form that models the f) What is the y-intercept of this line? Include the label. situation above. g) How much will 20 lessons cost? h) How many lessons can be taken with $1500?