Which equation describes a line that has a y-intercept of 5 and a slope of ½ ? A y = 5 + ½ x B y = ( 5 + x ) ½ C y = 5x + ½ D y = ( 5x + 1 ) ½ Problem #1 Obj 3 - TAKS 2004 9th [A.C2(D)]

Which function includes the data set {(2, 4), (6, 6), (12, 9)}? A B C D Problem #2 Obj 3 - TAKS 2004 9th [A.C1(C)]

What is the slope of the linear function shown in the graph? A B C D Problem #3 Obj 3 - TAKS 2004 9th [A.C2(A)]

A The plane descends about 1 foot per 8 seconds. The line segment on the graph shows the altitude of a landing airplane from the time its wheels are lowered to the time it touches the ground. Which of the following best describes the slope of the line segment? A The plane descends about 1 foot per 8 seconds. B The plane descends about 8 feet per second. C The plane descends about 1 foot per 2 seconds. D The plane descends about 2 feet per second. Problem #4 Obj 3 - TAKS 2004 9th [A.C2(B)]

What are the x- and y-intercepts of the function graphed to the right? A (4, 0) and (5, 0) B (4, 0) and (0, 5) C (0, 4) and (5, 0) D (0, 4) and (0, 5) Problem #5 Obj 3 - TAKS 2004 9th [A.C2(E)]

Which coordinate points represent the x- and y-intercepts of the graph shown to the right? A (0, –4) and (6, 0) B (–4, 0) and (0, 6) C (6, 0) and (–4, 0) D (0, 6) and (0, –4) Problem #6 Obj 3 - TAKS 2004 10th [A.C2(E)]

A The slope will change from positive to negative. What will happen to the slope of line p if the line is shifted so the the y-intercept increases and the x-intercept remains the same? A The slope will change from positive to negative. B The slope will change from negative to positive. C The slope will increase. D The slope will decrease. Problem #7 Obj 3 - TAKS 2004 10th [A.C2(C)]

What is the rate of change of the graph to the right? A 3.5 B 1.67 D –1.67 Problem #8 Obj 3 - TAKS 2004 10th [A.C2(A)]

Which equation describes the line that passes through the point (4, 7) and is parallel to the line represented by the equation 3x + y = 4? A y = -3x + 19 B y = 3x - 19 C y = ⅓ x + 5 ⅔ D y = - ⅓ x + 8 ⅓ Problem #9 Obj 3 - TAKS 2004 10th [A.C2(D)]

Which graph best represents the function y = –1.75x + 5 Problem #10 Obj 3 - TAKS 2004 10th [A.C1(C)]

The graph of a line is shown to the right. If the slope of this line is multiplied by –1 and the y-intercept decreases by 2 units, which linear equation represents these changes? A B C D Problem #11 Obj 3 - TAKS 2004 11th [A.C2(C)]

Which equation represents the line that passes through the points (–1, 4) and (3, 2)? B C D Problem #12 Obj 3 - TAKS 2004 11th [A.C2(D)]

Matt is a speed skater. His coach recorded the following data during a timed practice period. If Matt continues to skate at the rate shown in the table, what is the approximate distance in meters he will skate in 25 seconds? A 250 m B 175 m C 150 m D 278 m Problem #13 Obj 3 - TAKS 2004 11th [A.C2(G)]

What are the slope and y-intercept of the equation of the line graphed below? Problem #14 Obj 3 - TAKS 2004 11th [A.C2(A)]

Which linear function includes the points (–3, 1) and (–2, 4)? A. B. C. D. Problem #15 Obj 3 - TAKS 2003 9th [A.C2(D)]

A math club decided to buy T-shirts for its members A math club decided to buy T-shirts for its members. A clothing company quoted the prices, found in the chart at the right, for the T-shirts. Which equation best describes the relationship between the total cost, c, and the number of T-shirts, s? A. c = 6.75s B. c = 7.00s C. c = 2s – 20 D. c = 15 + 6s Problem #16 Obj 3 - TAKS 2003 9th [A.C1(C)]

On a certain day the exchange rate of Mexican pesos for U. S On a certain day the exchange rate of Mexican pesos for U.S. dollars was approximately 10 pesos for 1 dollar. If an exchange of 4,000 pesos was made that day, what was the approximate value of the exchange in dollars? A. $40 B. $400 C. $4,000 D. $40,000 Problem #17 Obj 3 - TAKS 2003 9th [A.C2(G)]

In the distance formula d = rt, r represents the rate of change, or slope. Which ray on the graph best represents a slope of 55 mph? A. W B. X C. Y D. Z Problem #18 Obj 3 - TAKS 2003 9th [A.C2(A)]

The graph of a line that contains the points (–1, –5) and (4, 5) is shown below. Problem #19 Obj 3 - TAKS 2003 9th [A.C2(C)]

Which graph best represents this line if the slope is doubled and the y-intercept remains constant? Problem #19 Obj 3 - TAKS 2003 9th [A.C2(C)]

Which of the following describes the line containing the points (0, 4) and (3, –2)? Problem #20 Obj 3 - TAKS 2003 10th [A.C2(D)]

Which best describes the effect on the graph of f(x) = 4x + 8 if the y-intercept is changed to –3? A. The slope decreases. B. The new line passes through the origin. C. The x-intercept increases. D. The y-intercept increases. Problem #21 Obj 3 - TAKS 2003 10th [A.C2(C)]

What is the y-intercept of the function f(x) = 3(x – 2)? A. 3 B. 1 D. –6 Problem #22 Obj 3 - TAKS 2003 10th [A.C2(E)]

Which linear function best describes the graph shown to the right? Problem #23 Obj 3 - TAKS 2003 10th [A.C1(C)]

What is m, the slope of the line that contains the points (2, 0), (0, 3), and (4, –3)? A. B. C. D. Problem #24 Obj 3 - TAKS 2003 10th [A.C2(A)]

What is the y-intercept of the function graphed to the right? A. –24 B. –21 C. –18 D. –9 Problem #25 Obj 3 - TAKS 2003 11th [A.C2(E)]

A. For every 4 laps on the track, an athlete runs 1 mile. The algebraic form of a linear function is , where d is the distance in miles and l is the number of laps. Which of the following choices identifies the same linear function? A. For every 4 laps on the track, an athlete runs 1 mile. B. For every lap on the track, an athlete runs mile. C D. Problem #26 Obj 3 - TAKS 2003 11th [A.C1(C)]

A. The new line is parallel to the original. Given the function y = 3.54x – 54.68, which statement best describes the effect of increasing the y-intercept by 33.14? A. The new line is parallel to the original. B. The new line has a greater rate of change. C. The x-intercept increases. D. The y-intercept decreases. Problem #27 Obj 3 - TAKS 2003 11th [A.C2(C)]

What is the slope of the line identified by 2y = –3(x – 2)? A. C. D. Problem #28 Obj 3 - TAKS 2003 11th [A.C2(A)]

What are the slope and y-intercept of a line that contains the point (5, –1) and has the same y-intercept as x – 3y = 6? A. B. C. D. Problem #29 Obj 3 - TAKS 2003 11th [A.C2(B)]

A small business purchased a van to handle its delivery orders. The graph below shows the value of this van over a period of time. Which of the following best describes this situation? A. The van was purchased for $1,600. B. The van decreases in value by $1,600 per year. C. The van increases in value by $1,600 per year. D. The van has no value after 5 years. Problem #30 Obj 3 - TAKS 2006 9th [A.C2(B)]

The graph of a linear function is shown on the coordinate grid below. If the y-intercept is changed to (0, 5) and the slope becomes −4, which statement best describes the relationship between the two lines when they are graphed on the same coordinate grid? F. The y-intercepts are 1 unit apart, and the lines are parallel. G. The y-intercepts are 1 unit apart, and the lines intersect at (1, 1). H. The y-intercepts are 1 unit apart, and the lines are perpendicular. J. The y-intercepts are 1 unit apart, and the lines intersect at (1, 0). Problem #31 Obj 3 - TAKS 2006 9th [A.C2(C)]

The table below shows various values for x and y. Which equation best describes the relationship between x and y? A. y = −3x + 5 B. y = −5x – 7 C. y = −x + 17 D. y = 3x + 41 Problem #32 Obj 3 - TAKS 2006 9th [A.C1(C)]

What is the slope of the line that contains the coordinate points (8, −3) and (−2, 7)? A. −1 C. B. D. Problem #33 Obj 3 - TAKS 2006 9th [A.C2(A)]

Which of the following ordered pairs is the x-intercept or the y-intercept of the function 2x − y = 8? A. (8, 0) B. (0, 4) C. (4, 0) D. (0, 8) Problem #34 Obj 3 - TAKS 2006 9th [A.C2(E)]

Which linear equation represents the line passing through points R and S? F. y = 1.5x − 4.5 G. y = 1.5x + 4.5 H. y = 0.5x − 4.5 J. y = 0.5x + 4.5 Problem #35 Obj 3 - TAKS 2006 10th [A.C2(D)]

The graph shows the distance a certain motorbike can travel at a constant speed with respect to time. Which of the following best describes the meaning of the slope of the line representing this situation? F. The motorbike travels at a speed of about 8 miles per hour. G. The motorbike travels at a speed of about 2.5 miles per hour. H. The motorbike travels at a speed of about 5 miles per hour. J. The motorbike travels at a speed of about 10 miles per hour. Problem #36 Obj 3 - TAKS 2006 10th [A.C2(B)]

What is the x-coordinate of the x-intercept of the function y = −6x + 12? F. 12 G. 18 H. −9 J. 2 Problem #37 Obj 3 - TAKS 2006 10th [A.C2(E)]

Which line appears to have a slope of zero? F. Line n G. Line k H. Line w J. Line p Problem #38 Obj 3 - TAKS 2006 10th [A.C2(A)]

Which table best describes points on the line graphed below? Problem #39 Obj 3 - TAKS 2006 10th [A.C1(C)]

Problem #39 Obj 3 - TAKS 2006 10th [A.C1(C)]

Which graph best represents the line that has a slope of − and contains the point (4, −3)? Problem #40 Obj 3 - TAKS 2006 11th [A.C2(D)]

The graph of a linear function is shown below. If the line is translated 2 units down, which equation will best describe the new line? F. y = 3x + 1 G. y = x + 1 H. y = 3x + 5 J. y = x + 5 Problem #41 Obj 3 - TAKS 2006 11th [A.C2(C)]

If y is directly proportional to x and y = 12 when x = 16, what is the value of x when y = 5? G. 3 H. 6 J. Problem #42 Obj 3 - TAKS 2006 11th [A.C2(G)]

Find the x- and y-intercepts of −4x + 7y = −28. A. x-intercept: (−4, 0) y-intercept: (0, 7) B. x-intercept: (7, 0) y-intercept: (0, −4) C. x-intercept: (0, 7) y-intercept: (−4, 0) D. x-intercept: (0, −4) y-intercept: (7, 0) Problem #43 Obj 3 - TAKS 2006 11th [A.C2(E)]

What is the rate of change of the function y = −7? F. 7 G. −7 H. 0 J. Undefined Problem #44 Obj 3 - TAKS 2006 11th [A.C2(A)]