Deck 9: Linear Equations, Functions, and Inequalities in Two Variables

Question 1

What are the coordinates of point A?

A)(2, -4)
B)(4, -2)
C)(-4, 2)
D)(-2, 4)

Answer 1

A

Question 2

Which coordinates match the point F?

A)(4, -1)
B)(-1, 4)
C)(4, 1)
D)(1, 4)

Answer 2

C

Question 3

Find the profit function for producing 600 books if the profit function is P(x)= R(x)- C(x) and R(x)= 7000 and C(x)= 6010.

A)$990
B)$9,900
C)$11,650
D)$1,165

Answer 3

A

Question 4

Name the point with coordinates (-2, 3).

A)A
B)B
C)C
D)D

Question 5

Write the equation 5(x + 3)= 2(2x + 1)as a function.

A)f(x) = x - 13
B)f(x) = 3x + 13
C)f(x) = x + 4
D)f(x) = x + 13

Question 6

Find the Input value that produces an output value of 5 in the function

A) 6
B) 4
C)
D)

Question 7

What are the coordinates of point F?

A)(-3, -3)
B)(3, -3)
C)(3, 3)
D)(-3, 3)

Question 8

Decide if the following point is on the line 2x - 3y = 6: (2, -1)

Question 9

Plot the following point: (-2, 1). Describe the process.

Question 10

Plot the following point: (-1, -2)Describe the process

Question 11

Plot the point (3, 2)on the axis. Describe the process.

Question 12

Complete the ordered pair for the given line: 2x - 3y = 3: (1, ?)

Question 13

Which point has coordinates (2, 3)?

A)E
B)A
C)C
D)G

Question 14

Plot the following point: (2, -1). Describe the process.

Question 15

A rental car costs $20 for a day plus $0.25 per mile. Write a function that represents the cost of the car for a single day if x represents the number of miles and f(x)represents the car rental cost.

A)f(x) = 20x + 0.25
B)f(x) = 0.25x + 20
C)f(x) = 20.25x
D)f(x) = 0.25x

Question 16

A construction company charges $2 per cubic foot plus an overhead charge of $30 to lay a concrete driveway. Write the function that represents the total cost of laying a driveway for any number of cubic feet.

A)C(x) =2(x + 30)
B)C(x) = 2 + 30x
C)C(x) =2x + 30
D)C(x) = 32x

Question 17

Which coordinates match the point G?

A)(-2, 3)
B)(3, -2)
C)(-3, 2)
D)(2, -3)

Question 18

Decide if the following point is on the line x + 2y = 4: (2, 1)

Question 19

Which point has the coordinates (-4, 1)?

A)F
B)B
C)D
D)G

Question 20

What are the signs of the coordinates of points that lie in the upper left quarter of a rectangular coordinate system?

A)(positive, positive)
B)(negative, positive)
C)(positive, negative)
D)(negative, negative)

Question 21

Determine which ordered pair is a solution for the equation 2y = x - 3.

A)(3, 9)
B)(1, 5)
C)(0, -3)
D)(1, -1)

Question 22

A)$14.00
B)$66.50
C)$21.50
D)$6.50

Question 23

Complete the ordered pair for the given line: 2x + 3y = 6: (3, ?)

Question 24

Evaluate the function f (x)= 4x + 1 at the value f (-3).

A)-8
B)-11
C)11
D)-13

Question 25

A)13
B)15
C)17
D)11

Question 26

A)18
B)14
C)20
D)16

Question 27

A)12
B)13
C)11
D)10

Question 28

Determine which ordered pair is NOT a solution for the equation: 4x + 2y = 3

Question 29

Evaluate the function f (x)= 6 - x for the value f (9).

A)3
B)-9
C)-3
D)0.6

Question 30

Determine which ordered pair is a solution to the equation x - 2y = 7

A)(1, -3)
B)(-7, 0)
C)(4, -3)
D)(3, 2)

Question 31

A)$16.50
B)$14.50
C)$12.50
D)$18.50

Question 32

=

A)1,400
B)1,600
C)1,800
D)1,200

Question 33

Find the value of y in y = -2x + 3 when x = 3.

Question 34

Complete the ordered pair for the given line: x - 4y = 10: (2, ?)

Question 35

=

A)1,900
B)1,500
C)1,300
D)1,700

Question 36

Find the value of y in y = 2x - 5 when x = 2.

Question 37

A)11
B)12
C)13
D)10

Question 38

Find the revenue for producing 300 books if the revenue function is R(x)= $10x.

A)$30
B)$300
C)$3
D)$3,000

Question 39

If C(x) =8x+ 1,000 and R(x) =$20x, and P(x) = R(x) - C(x), then if x = 200, P(x)

A)1,600
B)1,200
C)1,400
D)1,800

Question 40

Find the value of y in y = 3x - 1 when x = -2.

Question 41

A restaurant that will ship barbecue charges $8 per pound of ribs plus a $20 shipping charge to deliver the ribs. Write the function that represents the cost of shipping barbecue for any quantity, in pounds, of ribs. Then evaluate that function for shipping 5 pounds of ribs.

A)C(x) = 28x; C(5) = 140
B)C(x) = 20x + 8; C(5) = 108
C)C(x) = 8x + 20; C(5) = 33
D)C(x) = 8x + 20; C(5) = 60

Question 42

For the equation 5x + y = 7, write the solution in ordered pair form if y = 2.

A)(2, 1)
B)(2, -3)
C)(-3, 2)
D)(1, 2)

Question 43

A)(4, -3)
B)(-3, 16)
C)(16, -3)
D)(-3, 4)

Question 44

Graph the following equation using a table of solutions: 2x - 3y = 6

Question 45

Find the solution to the following equation, given the y value is 4: 2x - 3y = 9

Question 46

Graph the following equation: x + 3y = 3, using intercepts.

Question 47

Graph the following equation: 2x + 4y = 4 using intercepts.

Question 48

Determine which ordered pair is NOT a solution for the equation: 2x = 5y - 4

Question 49

Determine which ordered pair is a solution for the equation: 3x + y = 8

A)(2, 3)
B)(-1, 11)
C)(6, 2)
D)(-3,1)

Question 50

Determine which ordered pair is a solution for the equation: y = 5 - 2x

A)(1, 3)
B)(5, 0)
C)(-2, 1)
D)(6, 7)

Question 51

Given the equation y = 3x - 2, determine which of the following pairs of points does not belong in a table of values for the equation.

A)(2, 4)
B)(-2, -8)
C)(1, 1)
D)(-3, -7)

Question 52

Write a function that represents the data shown below. The number of hours and the total cost are for a technical support phone service that charges by the hour (or any part of an hour).

A)C(x) = 20x + 14
B)C(x) = 24x
C)C(x) = 27x
D)C(x) = 22x + 10

Question 53

Find x when y = -7, given the equation 2x - y = 15.

A)11
B)-4
C)-11
D)4

Question 54

Determine which ordered pair is NOT a solution to the equation 2x + 5y = 20.

A)(10, 0)
B)(0, 4)
C)(2, 5)
D)(15, -2)

Question 55

For the equation 2x - y = 5, write the solution in ordered pair form if x = 6.

A)(6, 7)
B)(6, -7)
C)(6, 1)
D)(6, 3)

Question 56

Write a function that represents the data shown below. The pounds and the total cost are for purchasing pounds (or portions of pounds)of coffee beans and grinding them.

A)C(x) = 5.5x
B)C(x) = 4x + 6
C)C(x) = 5x + 2
D)C(x) = 6x - 2

Question 57

=

A)1,800
B)1,600
C)2,000
D)1,400

Question 58

Graph the following equation: x - y = 0 using intercepts.

Question 59

Determine which ordered pair IS a solution for the equation: 4y = x + 5

A)(-1, -9)
B)(3, 7)
C)(-5, 0)
D)(-2, -3)

Question 60

Determine which ordered pair is NOT a solution for the equation: 2x - 5y = 20

A)(10, 0)
B)(0, 4)
C)(-5, -6)
D)(5, -2)

Question 61

Question 62

Graph the following equation: x - 2y = 4 using the slope and y-intercept.

Question 63

Give the x-intercept of the equation: 3x - 2y = 6

A)(0, -3)
B)(0, 2)
C)(2, -3)
D)(2, 0)

Question 64

Find the x- and y-intercepts of the equation of the line 2x - 3y = 12.

A)x-intercept 6; y-intercept -4
B)x-intercept 6; y-intercept 4
C)x-intercept 4; y-intercept 6
D)x-intercept -4; y-intercept 6

Question 65

Graph the following equation: y = 3x - 5 using the slope and y-intercept.

Question 66

Give the y-intercept of the equation: 4x = y + 8

A)(0, 2)
B)(0, -8)
C)(0, 8)
D)(2, 0)