Review Worksheet

Transcription

1 Name Algebra Review Worksheet 1) Write an equation of a line in slopeintercept form with a slope of 3 and which passes through the point (8, -4). 4 2) Write an equation of a line in Standard Form with a slope of -1 and which passes through the point (4, 6) 3) Write an equation of a line in Standard Form which passes through the points (10, 6) and (-12, -5). 4) Write an equation of a line in slopeintercept form which passes through the points (-2, 8) and (-6, 0). 5) Write an equation for a linear function f that has the given values f(-2) = 15, f(1) = 9. 6) Write the equations of the horizontal and vertical lines that pass through the given point: (-1, 4) Horizontal: Vertical: 7) All tickets for a concert are the same price. The ticket agency adds a fixed fee to every order. A person who orders 3 tickets pays $57. A person who orders 5 tickets pays $93. Write an equation which models the total cost of concert tickets as a function of the number of tickets bought. 8) As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent, and each small raft costs $40 to rent. You have $1600 to spend. Write an equation that model the possible number of combinations of small and large rafts you can rent.

2 Find the missing coefficient in the equation of the line that passes through the given point. Write the equation. 9) Ax + 3y = 5; (2, -1) 10) 8x + By = 4; (-5, 4) 11) 2x + By = -4; (-3, 7) 12) Ax 3y = -5; (1, 0) 13) The amount of revenue brought in by states from motor vehicle licenses increased at a relatively constant rate of million dollars per year from 1990 to In 2000, the states brought in 15,099 million dollars in revenue from motor vehicle licenses. a) What was the approximate revenue (in million dollars) from licenses in 1990? 14) The number of acres of farmland in the U.S. has decreased at a relatively constant rate of 3.27 million acres per year from 1987 to In 1997, there were million acres of farmland. a) Write an equation that gives the number of acres of farmland as a function of the number of years since b) Write an equation that gives the revenue (in million dollars) as a function of the number of years since b) Predict when the number of acres will fall below 915 million acres. c) Find the revenue from licenses in 1999.

3 15) Write an equation of a line in slopeintercept form with a slope of -3 and which passes through the point (1, 9). 16) You rent a hotel room for $45 a night. The hotel adds a charge for using its parking lot to the total bill. After staying at the hotel for 3 nights, your total bill is $150. Write an equation that gives your total bill as a function of the number of nights you stay in the room. 17) Write an equation of a line in slopeintercept form which passes through the points (9, 4) and (17, 6). 18) Write an equation of a line in Standard Form which has a slope of ½ and passes through the point (-4, 7) 19) You are buying $80 worth of lawn seed that consists of two types of seed. One type is a quickgrowing rye grass that costs $3.80 a pound, and the other type is a higher-quality seed that costs $5 a pound. Write an equation that models the possible combinations of each kind of grass you can buy. 20) Write the equations of the horizontal and vertical lines that pass through the given point: (8, 3) Horizontal: Vertical: 21) Write an equation in Standard Form of the line that passes through the points (-1, 2) and (5, 4). 22) Write an equation in slope-intercept form which passes through the point (-1, 6) and has a slope of 5.

4 23) Write an equation of a line in slopeintercept form which passes through the points (-10, 7) and (5, -3). 24) Write an equation in Standard Form that passes through the points (3, -8) and (5, -9). 25) Write an equation in Standard Form that passes through the point (-7, 8) and has a slope of ) Write an equation for the linear function f with the values f(4) = -8 and f(-3) = 1. 27) You are taking a Tae Kwon Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months. Write an equation that gives the total cost as a function of the length of time you have been taking the class. 28) You have $5 to spend on guitar picks. You want to buy some nylon picks for $0.35 each and celluloid picks for $0.25 each. Write an equation which models the number of picks you can buy. 29) Write the equation of the line in slopeintercept form which passes through the points (-7, 0) and (4, 11) 30) Write an equation for the linear function f with the values f(-1) = -6 and f(4) = -14.

5 1 31) Solve A bh for h. 2 32) Solve a b ce = d for e. 33) Solve y = mx + b for m a b 34) Solve d c e for c 9 35) Solve F C 32 for C 36) Solve 5 w p for t. t 37) Solve S = 180(n 2) for n. 38) Solve ax + 2by = 20 for y

6 Graph the following equations. State the slope, x-intercept, and y-intercept for each. 39) 6x + 7 = -14y 40) 8x y 16 = 0 41) 4 y 3

7 42) x = -2 43) 2x 6y = ) x 3y 3 2

8 45) If Mark borrowed $7400 at an interest rate of 10.5% for ¼ year, how much interest would he have paid when his loan is paid off? 46) If you paid $8, on a loan at 8.2% for 3 years, wha twa thep rincipal that you borrowed? 47) If you invested $14,000 at an annual interest rate of 6% and earned a return of $7560 in interest, how many years did you inves the money?