Math final study set

Which r-value suggests a weak positive correlation? A. r = 0.17454 B. r = −0.17454 C. r = 0.98264 D. r = −0.98264

A

Using the trend line y = 8x + 8, for the data shown, complete the residual table. Distance (mi) 2 2.5 3 3.5 4 Time (min) 23 28 34 34 40

-1,0,2,-2,0

Given f(x) = -3x, write an equation for f(x) + 4.

-3x+4

Complete the equation for the horizontal line that passes through (5, -7). y =

-7

Given f(x) = -x + 6 write an equation for f(x + 3).

-x+3

What is the y-intercept of the line y + 8 = -4(x - 4.5)? y-intercept =

10

Complete the equation for the standard form of the line that has an x-intercept of -5 and a y-intercept of -4.

4x+5y=20

What is the y-intercept of the line y + 11 = -2(x + 1.5)? y-intercept =

7

Coulomb's Law F = kqQr2 relates the force F between two charges q and Q, which are a distance of r units apart. Choose the formula that represents this when solved for k. A. k = r2FqQ B. k = Fr2qQ C. k = r2FqQ D. k = qQr2F

A

What is the equation of the line through (−2, −2) and (4, −5)? A. y = 12x - 1 B. y = -12x - 3 C. y = 2x + 2 D. y = -2x - 6

B

What is the equation in standard form of the line y = 19x + 5? A. x = 9y − 45 B. x − 9y = −45 C. 9y = x + 45 D. 9y − x = 45

B

Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y = 83x? A. y = 83x - 2 B. y = 83x - 23 C. y = 83x - 32 D. y = 83x + 2

B

Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)

B

Which relation is not a function? A. (2, 9), (−1, −5), (1, 5), (5, 0), (12, 3) B. (−3, 1), (6, 2), (8, 3), (6, 4), (3, 5) C. (5, 1), (4, 2), (3, 3), (2, 4), (1, 5) D. (7, 2), (5, 3), (3, 4), (1, 5), (−1, 6)

B

Which of the following is an equation of the line through (2, 3) and (−1, −12)? A. y = 15x + 135 B. y = −15x + 175 C. y = 5x − 7 D. y = −5x + 7

C

What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)? A. y + 1 = 4(x − 6) B. y − 1 = 4(x + 6) C. y + 6 = 4(x − 1) D. y − 6 = 4(x + 1)

C

Which of the following is an arithmetic sequence? A. 2, 1, 4, 3, 6, 5, ... B. 10, 8, 6, 4, 2, −2, ... C. 11, 22, 33, 44, 55, 66, ... D. 44, 66, 88, 1010, 1212, 1414, ...

C

Correct Solve the equation y = ax − b for the variable x. A. x = ya + b B. x = a+by C. x = y + ba D. x = y+ba

D

Line p passes through point (0, 8) and is perpendicular to the graph of y = 14x + 2. Line q is parallel to line p and passes through point (-3, 6). Which is the equation of line q in slope-intercept form? A. y = 14x + 6 B. y = -14x + 8 C. y = 4x - 8 D. y = -4x - 6

D

Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x - 11. Line w is parallel to line v and passes through point (-6, 10). Which is the equation of line w in slope-intercept form? A. y = 34x + 2 B. y = -34x + 2 C. y = 43x + 2 D. y = -43x + 2

D

Choose the correct way to end the sentence. The lines 5x + 2y = 14 and y = -5x + 9 are

neither

The table shows grade levels and heights of 6 students. Grade 1 2 3 4 5 6 Height (in.) 46 48 51 53 56 59 Choose the correct item in each drop-down menu to complete the sentences. The data shows correlation. The data be used to show causation.

positive, cannot

Hugo's exercise data is shown. Use the trend line y = 3.5x + 10 to complete the sentence. Laps 7 8 9 10 11 Time (min) 35.5 37 41.5 45 49.5 It will take Hugo about min to run 6 laps.

31

How many solutions are there to this equation? 7x − 3(x − 1) = 2(2x + 3) A. no solution B. exactly one solution C. at least two solutions D. infinitely many solutions

A

Jack works after school. Each day he is paid a set amount, plus an hourly wage. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 Which is a reasonable domain for the function f(x) = 10x + 8? A. 0 < x < 6 B. 0 < x < 24 C. 0 < x < 68 D. 0 < x < 248

A

What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6? A. y + 1 = 6(x − 4) B. y + 1 = −6(x − 4) C. y − 1 = 6(x + 4) D. y − 1 = −6(x + 4)

A

Which equation is the slope-intercept form of the line that passes through (6, -11) and is parallel to the graph of y = -23x + 12? A. y = -23x - 7 B. y = -23x - 6 C. y = 23x - 5 D. y = 23x - 15

A

Part B A tie-dye kit with one T-shirt costs $15. Each additional T-shirt costs $4 more. Choose the recursive formula to represent the situation. A. an = an - 1 + 4; a1 = 11 B. an = an - 1 + 4; a1 = 15 C. an = an - 1 + 11; a1 = 15 D. an = an - 1 + 19; a1 = 11

An=An-1+4 a=15

Which lines are perpendicular to 2x−7y=−25? Select all that apply. A. y=27x−6 B. 7x+2y=−10 C. y−13=72(x+8) D. 14x+4y=41

B,D

Part B The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation. A. an = an - 1 + 5; a1 = 14 B. an = an - 1 + 23; a1 = 9 C. an = an - 1 + 14; a1 = 9 D. an = an - 1 + 9; a1 = 14

D

On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Look at the table. Choose the linear function f Eve can use to determine her pay. Hours 1 2 3 4 5 Pay 26 40 54 68 82 A.f(x) = x + 14 B. f(x) = 12x + 16 C. f(x) = 12x + 14 D. f(x) = 14x + 12

f(x)14x+12

Which r-value suggests a weak negative correlation? A. r = 0.1847 B. r = −0.1847 C. r = 0.9816 D. r = −0.9816

r=-0.1847

Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to find his pay. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 A. f(x) = 10x + 8 B. f(x) = 15x + 3 C. f(x) = 0.5x + 1 D. f(x) = x + 18

A

Solve the compound inequality. 3x − 4 > 5 or 1 − 2x ≥ 7 A. x ≤ −3 or x > 3 B. x < −3 or x ≥ 3 C. x ≥ −3 or x < 3 D. x > −3 or x ≤ 3

A

Which of the following is an arithmetic sequence? A. −2, −5, −8, −11, −14, −17, ... B. 0, 5, 0, 10, 0, 15, ... C. 2, 4, 8, 16, 32, ... D. 5, 11, 17, 23, 29, 36, ...

A

Which of the following will result in a rational number? Select all that apply. A. 645+9√4 B. 645−5√7 C. 645×9√4 D. 645÷5√7

A,C

Part A The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the explicit formula to represent the situation. A. an = 14 + 9(n + 1) B. an = 5 + 9n C. an = 14 + 9n D. an = 5 + 9(n + 1)

B

What is the value of x in this equation? 5x − 2(2x − 1) = 6 A. 3 B. 4 C. 7 D. 8

B

For the situation in Item 14, which of the following represents a combination of pins and rings that Luke could sell? Select all that apply. A. (2.5, 5) B. (4, 4) C. (10, 0) D. (13, −2)

B,C

For the situation in Item 14, which of the following represents a possible combination of books that Derek can buy? Select all that apply. A. (-2, 15) B. (0, 10) C. (2, 5) D. (3,52)

B,C

Write the equation of the line y = -113x + 3 in standard form. A. 3y = −11x + 9 B. 11x + 3y − 9 = 0 C. 11x + 3y = 9 D. 11x = −3y + 9

C

Fatima is saving up to buy a $300 bike. She saves $25 each week from her babysitting money. Which linear equation represents the amount Fatima still has to save after x weeks? A. y = 25x + 300 B. y = 25x - 300 C. y = -25x - 300 D. y = -25x + 300

D

Identify the x-intercept and the y-intercept of the graph of 6x + 15y = −30. A. x-intercept: 2; y-intercept: 5 B. x-intercept: −2; y-intercept: −5 C. x-intercept: 5; y-intercept: 2 D. x-intercept: −5; y-intercept: −2

D

Jack works after school. Each day he is paid a set amount, plus an hourly wage. Hours 1 1.5 2 2.5 3 Pay 18 23 28 33 38 Assume Jack works from 2:30 P.M. to 7:00 P.M. Using the function f(x) = 10x + 8, how much would he earn? A. $33 B. $35.50 C. $45 D. $53

D

Solve the inequality. 4(x + 3) − 7 ≥ x + 3(x + 1) A. x < 5 B. x > 3 C. no solution D. all real numbers

D

What is an equation in point-slope form of the line that passes through (−7, 1) and (−3, 9)? A. y + 3 = 2(x − 9) B. y − 3 = 2(x + 9) C. y + 9 = 2(x − 3) D. y − 9 = 2(x + 3)

D

What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope −7? A. y + 5 = 7(x + 8) B. y + 5 = −7(x + 8) C. y − 5 = 7(x − 8) D. y − 5 = −7(x − 8)

D

The table shows savings and expenses of four people. Savings ($) 20 50 60 70 Expenses ($) 100 70 60 50 Choose the correct item in each drop-down menu to complete the sentences. The data shows correlation. The data be used to show causation.

Negative, cannot

On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Hours 1 2 3 4 5 Pay 26 40 54 68 82 Which is a reasonable domain for the function f(x) = 14x + 12? A. 0 < x < 8 B. 0 < x < 24 C. 26 < x < 82 D. 0 < x < 82

0<x<8

Using the trend line y = 3.5x + 10 for the data shown, complete the residual table. Laps 7 8 9 10 11 Time (min) 35.5 37 41.5 45 49.5

1,-1,0,0,1

The sum of three consecutive odd integers is 105. What are the three numbers?

33,35,37

Complete the equation for the horizontal line that passes through (11, 4). y =

4

Yumiko's exercise data is shown. Use the trend line y = 8x + 8 to complete the sentence. Distance (mi) 2 2.5 3 3.5 4 Time (min) 23 28 34 34 40 It will take Yumiko about min to run 5 mi.

48

Luke sells pins for $4 each and rings for $6 each. Complete the equation which determines the number of pins x and the number of rings y he must sell to make $40.

4x+6y=24

Correct Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. Complete the equation which determines the number x of hardcover books and the number y of paperback books he can buy.

5x+2y=20

Complete the equation for the standard form of the line that has an x-intercept of 3 and a y-intercept of 5.

5x+3=15

On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Hours 1 2 3 4 5 Pay 26 40 54 68 82 Assume Eve does yard work from 8:30 A.M. to 2:00 P.M. and then walks the dog. Using the function f(x) = 14x + 12, how much does she earn? A. $66 B. $77 C. $89 D. $109

89

Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days? A. y = -2x + 30 B. y = 2x + 30 C. y = -2x - 30 D. y = 2x - 30

A

Part A A tie-dye kit with one T-shirt costs $15. Each additional T-shirt costs $4 more. Choose the explicit formula to represent the situation. A. an = 11 + 4n B. an = 4 + 15n C. an = 19 + 4n D. an = 15 + 4(n + 1)

An=11+4n

Choose the correct way to end the sentence. The lines -2y = - 35 and y = 4x + 53 are

Neither

Correct Yumiko's exercise data is shown. Distance (mi) 2 2.5 3 3.5 4 Time (min) 23 28 34 34 40 Complete the sentence with the correct word. Using the trend line y = 8x + 8 to estimate how long it will take Yumiko to run 5 mi is an example of

extrapolation