For the 2009 Major League Baseball season, the

(3.1) Plot the points and name the quadrant or axis in which each point lies. A12, -12, B1 -2, 12, C10, 32, D1 -3, -52

(3.1) Plot the points and name the quadrant or axis in which each point lies. A1 -3, 42, B14, -32, C1 -2, 02, D1 -4, 12

Determine whether each ordered pair is a solution of the given equation 7x - 8y = 56; (0, 56), (8, 0)

Determine whether each ordered pair is a solution of the given equation -2x + 5y = 10; 1 -5, 02, (1, 1)

Determine whether each ordered pair is a solution of the given equation x = 13; (13, 5), (13, 13)

Determine whether each ordered pair is a solution of the given equation y = 2; (7, 2), (2, 7)

Determine whether each equation is linear or not. Then graph the equation. y = 3x

Determine whether each equation is linear or not. Then graph the equation. y = 5x

Determine whether each equation is linear or not. Then graph the equation. 3x - y = 4

Determine whether each equation is linear or not. Then graph the equation. x - 3y = 2

Determine whether each equation is linear or not. Then graph the equation. y = 0 x 0 + 4

Determine whether each equation is linear or not. Then graph the equation. y = x 2 + 4

Determine whether each equation is linear or not. Then graph the equation. y = - 1 2 x + 2

Determine whether each equation is linear or not. Then graph the equation. y = -x + 5

Determine whether each equation is linear or not. Then graph the equation. y = 2x - 1

Determine whether each equation is linear or not. Then graph the equation. y = 1 3 x + 1

Determine whether each equation is linear or not. Then graph the equation. y = -1.36x

Determine whether each equation is linear or not. Then graph the equation. y = 2.1x + 5.9

(3.2) Find the domain and range of each relation. Also determine whether the relation is a function. e a - 1 2 , 3 4 b, 16, 0.752, 10, -122, 125, 252 f

(3.2) Find the domain and range of each relation. Also determine whether the relation is a function. e a 3 4 , - 1 2 b, 10.75, 62, 1 -12, 02, 125, 252 f

(3.2) Find the domain and range of each relation. Also determine whether the relation is a function. 2 4 6 8 3 4 7 2 5 6

(3.2) Find the domain and range of each relation. Also determine whether the relation is a function. 4 Triangle Square Rectangle Parallelogram

(3.2) Find the domain and range of each relation. Also determine whether the relation is a function. 1 4 1 3 3 5 5 3 4 1 321 2 4 5 x y 24.

(3.2) Find the domain and range of each relation. Also determine whether the relation is a function. 1 4 1 3 5 5 3 4 1 321 2 4 5 x y 24.

(3.2) Find the domain and range of each relation. Also determine whether the relation is a function. 1 3 3 5

(3.2) Find the domain and range of each relation. Also determine whether the relation is a function. 5 5 3 4 1 3

If f 1x2 = x - 5, g1x2 = -3x, and h1x2 = 2x2 - 6x + 1, find the following. f(2)

If f 1x2 = x - 5, g1x2 = -3x, and h1x2 = 2x2 - 6x + 1, find the following. g(0)

If f 1x2 = x - 5, g1x2 = -3x, and h1x2 = 2x2 - 6x + 1, find the following. g1 -62

If f 1x2 = x - 5, g1x2 = -3x, and h1x2 = 2x2 - 6x + 1, find the following. h1 -12

If f 1x2 = x - 5, g1x2 = -3x, and h1x2 = 2x2 - 6x + 1, find the following. h(1)

If f 1x2 = x - 5, g1x2 = -3x, and h1x2 = 2x2 - 6x + 1, find the following. f(5)

The function J1x2 = 2.54x may be used to calculate the weight of an object on Jupiter J given its weight on Earth x. If a person weighs 150 pounds on Earth, find the equivalent weight on Jupiter.

The function J1x2 = 2.54x may be used to calculate the weight of an object on Jupiter J given its weight on Earth x. A 2000-pound probe on Earth weighs how many pounds on Jupiter?

Use the graph of the function below to answer Exercises 35 through 38. Find f 1 -12.

Use the graph of the function below to answer Exercises 35 through 38. Findf 112.

Use the graph of the function below to answer Exercises 35 through 38. Find all values of x such that f 1x2 = 1.

Use the graph of the function below to answer Exercises 35 through 38. Find all values of x such that f 1x2 = -1.

(3.3) Graph each linear function. f 1x2 = 1 5 x

(3.3) Graph each linear function. f 1x2 1 3x

(3.3) Graph each linear function. gx = -2x + 3

(3.3) Graph each linear function. gx = 4x - 1

The graph of f 1x2 = 3x is sketched below. Use this graph to match each linear function with its graph. f 1x2 = 3x + 1

The graph of f 1x2 = 3x is sketched below. Use this graph to match each linear function with its graph. f 1x2 = 3x - 2

The graph of f 1x2 = 3x is sketched below. Use this graph to match each linear function with its graph. f 1x2 = 3x + 2

The graph of f 1x2 = 3x is sketched below. Use this graph to match each linear function with its graph. f 1x2 = 3x - 5

Graph each linear equation by finding intercepts if possible. 4x + 5y = 20

Graph each linear equation by finding intercepts if possible. 3x - 2y = -9

Graph each linear equation by finding intercepts if possible. 4x - y = 3

Graph each linear equation by finding intercepts if possible. 2x + 6y = 9

Graph each linear equation by finding intercepts if possible. y = 5

Graph each linear equation by finding intercepts if possible. x = -2

Graph each linear equation. x - 2 = 0

Graph each linear equation. y + 3 = 0

(3.4) Find the slope of the line through each pair of points. (2, 8) and 16, -42

(3.4) Find the slope of the line through each pair of points. 1 -3, 92 and (5, 13)

(3.4) Find the slope of the line through each pair of points. 1 -7, -42 and 1 -3, 62

(3.4) Find the slope of the line through each pair of points. 17, -22 and 1 -5, 72

Find the slope and y-intercept of each line. f 1x2 = -3x + 1 2

Find the slope and y-intercept of each line. g1x2 = 2x + 4

Find the slope and y-intercept of each line. 6x - 15y = 20

Find the slope and y-intercept of each line. 4x + 14y = 21

Find the slope of each line. y - 3 = 0

Find the slope of each line. x = -5

Two lines are graphed on each set of axes. Decide whether t1 or t2 has the greater slope. y x l2

Two lines are graphed on each set of axes. Decide whether t1 or t2 has the greater slope. y x l1

Two lines are graphed on each set of axes. Decide whether t1 or t2 has the greater slope. l1 l2

Two lines are graphed on each set of axes. Decide whether t1 or t2 has the greater slope. y x l1 l2

The cost C, in dollars, of renting a minivan for a day is given by the linear equation C = 0.3x + 42, where x is number of miles driven. a. Find the cost of renting the minivan for a day and driving it 150 miles. b. Find and interpret the slope of this equation. c. Find and interpret the y-intercept of this equation.

The cost C, in dollars, of renting a compact car for a day is given by the linear equation C = 0.4x + 19, where x is the number of miles driven. a. Find the cost of renting the compact car for a day and driving it 325 miles. b. Find and interpret the slope of this equation. c. Find and interpret the y-intercept of this equation.

Decide whether the lines are parallel, perpendicular, or neither. f 1x2 = -2x + 6 g1x2 = 2x - 1

Decide whether the lines are parallel, perpendicular, or neither. y = 3 4 x + 1 y = - 4 3 x + 1

Decide whether the lines are parallel, perpendicular, or neither. -x + 3y = 2 6x - 18y = 3

Decide whether the lines are parallel, perpendicular, or neither. x - 2y = 6 4x + y = 8

(3.5) Graph each line passing through the given point with the given slope. Through 12, -32 with slope 2 3

(3.5) Graph each line passing through the given point with the given slope. Through 1 -2, 02 with slope -3

Graph each linear equation using the slope and y-intercept. y = -x + 1

Graph each linear equation using the slope and y-intercept. y = 4x - 3

Graph each linear equation using the slope and y-intercept. 3x - y = 6

Graph each linear equation using the slope and y-intercept. y = -5x

Find an equation of the line satisfying the given conditions Horizontal; through 13, -12

Find an equation of the line satisfying the given conditions Vertical; through 1 -2, -42

Find an equation of the line satisfying the given conditions Parallel to the line x = 6; through 1 -4, -32

Find an equation of the line satisfying the given conditions Slope 0; through (2, 5)

Find the standard form equation of each line satisfying the given conditions. Through 1 -3, 52; slope 3

Find the standard form equation of each line satisfying the given conditions. Slope 2; through 15, -22

Find the standard form equation of each line satisfying the given conditions. Through 1 -6, -12 and 1 -4, -22

Find the standard form equation of each line satisfying the given conditions. Through 1 -5, 32 and 1 -4, -82

Find the standard form equation of each line satisfying the given conditions. Through 1 -2, 32; perpendicular to x = 4

Find the standard form equation of each line satisfying the given conditions. Through 1 -2, -52; parallel to y = 8

Find an equation of each line satisfying the given conditions. Write each equation using function notation. Slope - 2 3 ; y-intercept (0, 4)

Find an equation of each line satisfying the given conditions. Write each equation using function notation. Slope -1; y-intercept 10, -22

Find an equation of each line satisfying the given conditions. Write each equation using function notation. Through 12, -62; parallel to 6x + 3y = 5

Find an equation of each line satisfying the given conditions. Write each equation using function notation. Through 1-4, -22; parallel to 3x + 2y = 8

Find an equation of each line satisfying the given conditions. Write each equation using function notation. Through 1-6, -12; perpendicular to 4x + 3y = 5

Find an equation of each line satisfying the given conditions. Write each equation using function notation. Through 1-4, 52; perpendicular to 2x - 3y = 6

The value of a building bought in 2000 continues to increase as time passes. Seven years after the building was bought, it was worth $210,000; 12 years after it was bought, it was worth $270,000. a. Assuming that this relationship between the number of years past 2000 and the value of the building is linear, write an equation describing this relationship. [Hint: Use ordered pairs of the form (years past 2000, value of the building).] b. Use this equation to estimate the value of the building in 2018.

The value of an automobile bought in 2006 continues to decrease as time passes. Two years after the car was bought, it was worth $17,500; four years after it was bought, it was worth $14,300. a. Assuming that this relationship between the number of years past 2006 and the value of the car is linear, write an equation describing this relationship. [Hint: Use ordered pairs of the form (years past 2006, value of the automobile).] b. Use this equation to estimate the value of the automobile in 2012.

(3.6) Graph each function. f 1x2 = e -3x if x 6 0 x - 3 if x 0

(3.6) Graph each function. g1x2 = - 1 5 x if x -1 -4x + 2 if x 7 -1

Graph each function y = 1x - 4

Graph each function f 1x2 = 1x - 4

Graph each function g1x2 = 0 x - 2 0 - 2

Graph each function h1x2 = -1x + 322 - 1

(3.7) Graph each linear inequality 3x + y 7 4

(3.7) Graph each linear inequality 1 2 x - y 6 2

(3.7) Graph each linear inequality 5x - 2y 9

(3.7) Graph each linear inequality 2x 6y

(3.7) Graph each linear inequality y 6 1

(3.7) Graph each linear inequality x 7 -2

(3.7) Graph each linear inequality Graph y 7 2x + 3 or x -3.

(3.7) Graph each linear inequality Graph 2x 6 3y + 8 and y -2.

Graph each linear equation or inequality. 3x - 2y = -9

Graph each linear equation or inequality. 5x - 3y 6 10

Graph each linear equation or inequality. 3y x

Graph each linear equation or inequality. x = -4y

Write an equation of the line satisfying each set of conditions. If possible, write the equation in the form y = mx + b Vertical; through a -7, - 1 2 b

Write an equation of the line satisfying each set of conditions. If possible, write the equation in the form y = mx + b Slope 0; through a -4, 9 2 b

Write an equation of the line satisfying each set of conditions. If possible, write the equation in the form y = mx + b Slope 3 4 ; through 1 -8, -42

Write an equation of the line satisfying each set of conditions. If possible, write the equation in the form y = mx + b Through 1 -3, 82 and 1 -2, 32

Write an equation of the line satisfying each set of conditions. If possible, write the equation in the form y = mx + b Through 1 -6, 12; parallel to y = - 3 2 x + 11

Write an equation of the line satisfying each set of conditions. If possible, write the equation in the form y = mx + b Through 1-5, 72; perpendicular to 5x - 4y = 10

Graph each piecewise-defined function f 1x2 = x - 2 if x 0 - x 3 if x 3

Graph each piecewise-defined function g1x2 = e 4x - 3 if x 1 2x if x 7 1

Graph each function. f 1x2 = 1x - 2

Graph each function. f 1x2 = 0 x + 1 0 - 3

Plot the points and name the quadrant or axis in which each is located: A16, -22, B14, 02, C1 -1, 62.

Graph each line. 2x - 3y = -6

Graph each line. 4x + 6y = 7

Graph each line. f 1x2 = 2 3 x

Graph each line. y = -3

Graph each line. Find the slope of the line that passes through 15, -82 and 1 -7, 102.

Graph each line. Find the slope and the y-intercept of the line 3x + 12y = 8.

Graph each nonlinear function. Suggested x-values have been given for ordered pair solutions. f 1x2 = 1x - 122 Let x = -2, -1, 0, 1, 2, 3, 4

Graph each nonlinear function. Suggested x-values have been given for ordered pair solutions. g1x2 = 0 x 0 + 2 Let x = -3, -2, -1, 0, 1, 2, 3

Find an equation of each line satisfying the given conditions. Write Exercises 1014 in standard form. Write Exercises 1517 using function notation. Horizontal; through 12, -82

Find an equation of each line satisfying the given conditions. Write Exercises 1014 in standard form. Write Exercises 1517 using function notation. Vertical; through 1 -4, -32

Find an equation of each line satisfying the given conditions. Write Exercises 1014 in standard form. Write Exercises 1517 using function notation. Perpendicular to x = 5; through 13, -22

Find an equation of each line satisfying the given conditions. Write Exercises 1014 in standard form. Write Exercises 1517 using function notation. Through 14, -12; slope -3

Find an equation of each line satisfying the given conditions. Write Exercises 1014 in standard form. Write Exercises 1517 using function notation. Through 10, -22; slope 5

Find an equation of each line satisfying the given conditions. Write Exercises 1014 in standard form. Write Exercises 1517 using function notation. Through 14, -22 and 16, -32

Find an equation of each line satisfying the given conditions. Write Exercises 1014 in standard form. Write Exercises 1517 using function notation. Through 1-1, 22; perpendicular to 3x - y = 4

Find an equation of each line satisfying the given conditions. Write Exercises 1014 in standard form. Write Exercises 1517 using function notation. Parallel to 2y + x = 3; through 13, -22

Find an equation of each line satisfying the given conditions. Write Exercises 1014 in standard form. Write Exercises 1517 using function notation. Line L1 has the equation 2x - 5y = 8. Line L2 passes through the points (1, 4) and 1 -1, -12. Determine whether these lines are parallel lines, perpendicular lines, or neither.

Graph each inequality x -4

Graph each inequality 2x - y 7 5

The intersection of 2x + 4y 6 6 and y -4

Find the domain and range of each relation. Also determine whether the relation is a function. 5 5 3 4 1

Find the domain and range of each relation. Also determine whether the relation is a function. 4 1 3 3 5 5 3 4 1 321

Find the domain and range of each relation. Also determine whether the relation is a function. 1 4 1 3 3 5 5 3 4 1 321 2 4 5 x y

Find the domain and range of each relation. Also determine whether the relation is a function. 5 5 3 4 1 321 2 4 5

For the 2009 Major League Baseball season, the following linear equation describes the relationship between a teams payroll x (in millions of dollars) and the number of games y that team won during the regular season. y = 0.096x + 72.81 Round to the nearest whole. (Sources: Based on data from Major League Baseball and USA Today) a. According to this equation, how many games would have been won during the 2009 season by a team with a payroll of $90 million? b. The Baltimore Orioles had a payroll of $67 million in 2009. According to this equation, how many games would they have won during the season? c. According to this equation, what payroll would have been necessary in 2009 to have won 95 games during the season? d. Find and interpret the slope of the equation.

Graph each function. For Exercises 27 and 29, state the domain and the range of the function. f1x2 = - 1 2 x if x 0 2x - 3 if x 7 0

Graph each function. For Exercises 27 and 29, state the domain and the range of the function. f 1x2 = 1x - 422

Graph each function. For Exercises 27 and 29, state the domain and the range of the function. g x = - x+2 - 1

Graph each function. For Exercises 27 and 29, state the domain and the range of the function. h x = x - 1

Evaluate: 3x - y when x = 15 and y = 4.

Add. a. -4 + 1 -32 b. 1 2 - a - 1 3 b c. 7 - 20

Determine whether the following statements are true or false. a. 3 is a real number. b. 1 5 is an irrational number. c. Every rational number is an integer. d. 51, 56 52, 3, 4, 56

Write the opposite of each number. a. -7 b. 0 c. 1 4

Subtract. a. 2 - 8 b. -8 - 1 -12 c. -11 - 5 d. 10.7 - 1 -9.82 e. - 2 3 - 1 2 f. 1 - 0.06 g. Subtract 7 from 4.

Multiply or divide. a. -42 -6 b. 0 14 c. -11 -521 -22

Evaluate each expression. a. 32 b. a 1 2 b 4 c. -52 d. 1 -522 e. -53 f. 1 -523

Which property is illustrated? a. 51x + 72 = 5 # x + 5 # 7 b. 51x + 72 = 517 + x2

Insert 6, 7, or = between each pair of numbers to form a true statement. a. -1 -2 b. 12 4 3 c. -5 0 d. -3.5 -3.0 e. 5 8 3 8 f. 2 3 3 4

Evaluate 2x2 for a. x = 7 b. x = -7

Write the multiplicative inverse, or reciprocal, of each. a. 11 b. -9 c. 7 4

Simplify -2 + 3[5 - 17 - 102].

Solve: 0.6 = 2 - 3.5c

Solve: 21x - 32 = -40.

Solve for x: 3x + 5 = 31x + 22

Solve: 51x - 72 = 4x - 35 + x.

Write the following as algebraic expressions. Then simplify. a. The sum of three consecutive integers if x is the first consecutive integer b. The perimeter of a triangle with sides of length x, 5x, and 6x - 3.

Find 25% of 16.

Kelsey Ohleger was helping her friend Benji Burnstine study for an algebra exam. Kelsey told Benji that her three latest art history quiz scores are three consecutive even integers whose sum is 264. Help Benji find the scores.

Find 3 consecutive odd integers whose sum is 213.

Solve V = lwh for h.

Solve 7x + 3y = 21 for y

Solve: x - 2 6 5.

Solve: -x - 17 9.

Solve: 2 5 1x - 62 x - 1

3x + 10 7 5 2 1x - 12.

Solve: 2x 0 and 4x - 1 -9

Solve: x - 2 6 6 and 3x + 1 7 1.

Solve: 5x - 3 10 or x + 1 5

Solve: x - 2 6 6 or 3x + 1 7 1.

Solve: 0 5w + 3 0 = 7

Solve: 0 5x - 2 0 = 3.

Solve: 0 3x + 2 0 = 0 5x - 8 0

Solve: 0 7x - 2 0 = 0 7x + 4 0

Solve: 0 5x + 1 0 + 1 10

Solve: 0 -x + 8 0 - 2 8

Solve for y: 0 y - 3 0 7 7

Solve for x: 0 x + 3 0 7 1.

Determine whether 10, -122, (1, 9), and 12, -62 are solutions of the equation 3x - y = 12.

Find the slope and y-intercept of 7x + 2y = 10.

Is the relation y = 2x + 1 also a function?

Determine whether the graph below is the graph of a function

Find the y-intercept of the graph of each equation. a. f 1x2 = 1 2 x + 3 7 b. y = -2.5x - 3.2

Find the slope of the line through 1 -1, 62 and (0, 9).

Find the slope of the line whose equation is f 1x2 = 2 3 x + 4.

Find an equation of the vertical line through a -2, - 3 4 b.

Write an equation of the line with y-intercept 10, -32 and slope of 1 4

Find an equation of the horizontal line through a -2, - 3 4 b.

Graph: 2x - y 6 6.

Write an equation of the line through 1 -2, 52 and 1 -4, 72.