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Linear equations

Total questions: 109

Worksheet time: 5hrs 56mins

Name
Class
Date
1.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
2.
Is the graph pictured a function?
a)
Yes
b)
No
3.
a)
Function
b)
Not a Function
4.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
5.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
6.
Is this set of ordered pairs a function and how can you tell?
a)
Yes its a function because no y values repeat
b)
No it's not a function because there are negative numbers
c)
No it isn't a function because an x value repeats but has different y values 
d)
No it isn't a function because an y value repeats but has different x values
7.
.
a)
Function
b)
Not a Function
8.
Is the relation a function?{(1,5),(1,7),(3,9),(4,11)}
a)
Yes
b)
No
9.

Look at the graph. Is the relation a function?

a)

yes

b)

no

10.

Look at this graph. Is the relation a function?

a)

yes

b)

no

11.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
12.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
13.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
14.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
15.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
16.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
17.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
18.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
19.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
20.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
21.

List the domain and range of the following ordered pairs:

(4, 7) (-3, 2) (8, -7) (-2, 2)

a)

Domain: 7, 2, -7, 2

Range: 4, -3, 8 -2

b)

No idea

c)

Domain: 4, -3, 8, -2

Range: 7, 2, -7

d)

Domain: 4, -3, 8, -2

Range: 4, -3, 8, -2

22.

Pick the correct table for the list of ordered pairs:

(7, 2) (-3, 4) (0, 0) (-2, 6)

a)
b)
c)

I don't know

d)
23.

Select the correct mapping for the table provided

a)
b)
c)
d)

Don't pick this one plz

24.

What is the domain and range of the map provided?

a)

Domain: -5, 7, 10

Range: -2, 0, 4, 9

b)

Domain: -2, 4, 9

Range: -5, 7, 10

c)

PLZ not this one

d)

Domain: -2, 0, 4, 9

Range: -5, 7, 10

25.

When graphing Ordered pairs which is X and which is Y? and how do you graph?

a)

(X, Y)

X moves up and down and Y moves left and right

b)

(Y, X)

Y moves up and down and X moves left and right

c)

(X, Y)

Both X and Y can move either directions

d)

(X, Y)

X moves left and right and Y moves up or down

26.

Are the ordered pairs a function or nahh?

(-7, 5) (5, 6) (0,2) (-7, 0)

a)

Function because

none of the Y's repeat themselves

b)

Not a function

because none of the Y's repeat themselves

c)

Not a function because one of the X's repeats

d)

Function because one of the X's repeats

27.

Is the map a function or nahh?

a)

Function because none of the X's repeat themselves

b)

Not a function because none of the X's repeat themselves

c)

Function because one of the Y's repeats

d)

Not a function because one of the Y's repeats

28.

What number repeats to make these ordered pairs NOT a function?

(7, -4) (5, -2) (0, -2) (0, 7)

(a)  

29.

Is the table shown a function or not a function

(a)  

30.

What has to repeat to make something not a function?

(a)  

31.
A pizzeria charges $12 per pizza plus an additional $3 for delivery. Which equation represents the cost of having any number of pizzas delivered?
a)
c = 12p + 3
b)
c = 12p
c)
c = 3p
d)
c = 12 + 3p
32.

Find the function rule.

a)

y = 2x

b)

y = 2x+3

c)

y = 3x+3

d)

y = -2x+3

33.
Find the function rule.
a)
y = -2x +10
b)
y = -2x -10
c)
y = 2x +10
d)
y = 2x-10
34.
A plumber charges a service fee of $40 plus $25 per hour for labor.
(A) Write a function rule for the total cost of hiring the plumber for a job that takes x hours.
(B) How much would it cost to hire the plumber for a job that takes 4 hours?
a)
(A) y = 40 + 25x
(B) $140
b)
(A) y = 40x + 25
(B) $185
c)
(A) y = 40 + 25x 
(B) $185
d)
(A) y = 40x + 25 
(B) $140
35.
Write the function rule for the following table.
a)
 5x
b)
5x + 1
c)
 x + 5
d)
 x + 1
36.
What is the initial value?
a)
-3
b)
0
c)
3
d)
20
37.
What is the initial value in this table?
a)
-2
b)
2
c)
6
d)
14
38.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
39.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
40.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = -1/3x
d)
y = -3x
41.

y is 5 less than the product of 4 and x

a)

y = 4x - 5

b)

y < 4x

c)

y = 5 - 4x

d)

y + 5 = 4x

42.

c is 8 more than half of n

a)

C = 8 + 2n

b)

C = 8 - 2n

c)

C = 8 + ½ n

d)

C > 8 + n/2

43.

7 less than three fifths of b is a.

a)

7 < ⅗ b + a

b)

7 - ⅗ b = a

c)

7 - ⅗ ÷ b = a

d)

⅗ b - 7 = a

44.

2.5 more than the quotient of h and 3 is w

a)

3h + 2.5 = w

b)

2.5 + h/3 = w

c)

w = 3h - 2.5

d)

2.5h + ⅓ = 2.5

45.

The almond extract a remaining in an 8-oz bottle decreases by 1/6 oz for each batch b of waffle cookies made. Make a function rule.

a)

a = 8 - ⅙ b

b)

a = ⅙ b

c)

a = 6b

d)

b = 6a

46.

A helicopter hovers 40 ft above the ground, then it climbs at a rate of 21 ft/sec. Write a rule for its height h as a function of time t seconds. Then find its height after 45 seconds.

a)

h(t) = 40 + 21 and 61 ft

b)

h(t) = 61t and 2745 ft

c)

h(t) = 21 + 40t and 1821 ft

d)

h(t) = 40 + 21t and 985 ft

47.

A team of divers gathers at an elevation of -10 ft. Then the team dives at a rate of -50 ft/min. Write a function rule for the depth d of the divers as a function of time t minutes. Then find their depth after 3 minutes.

a)

d = -10 - 50t and -160 ft

b)

d = 10 - 50t and -140 ft

c)

d = 10 + 50t and 160 ft

d)

d = -10t - 50 and -80 ft

48.

A new book is being planned. It will have 24 pages of introduction, followed by c 12-page chapters, and then 48 pages at the end of the book. Write a rule for the total pages p of the book. Then find the number of pages if there are 25 chapters.

a)

p = 12c and 300 pages

b)

p = 72 + 12c and 372 pages

c)

p = 72c + 12 and 4557 pages

d)

p = 72 + 12 and 84 pages

49.

You go to dinner and leave a 15% tip for your server. In your wallet, you only have $55. Write a function rule for the amount of money you would have left m if the meal costs x dollars before the tip

a)

m(x) = 55 - c

b)

m(x) = 55 − c − 0.15c

c)

m(x) = c + 55

d)

m(x) = c - 55 + 0.15

50.

Assuming you pay the 15% tip, would you have enough money to buy a meal that costs $45? If so, how much money m would you have left?

a)

yes, $10

b)

no

c)

yes, $7.75

d)

yes, $3.25

51.

A car rental agency charges $29 per day to rent a car and $13.95 per day for GPS. Customers are also charged $40 for a full tank of gas. Write a rule for the total cost t of renting a car for d days.

a)

t(d) = 40d + 42.95

b)

d = 40t + 42.95

c)

t(d) = 40 + 42.95d

d)

d(t) = 82.95t

52.

If you rented that car for 9 days, what would your total rental cost be?

a)

$386.55

b)

$301.00

c)

$320.55

d)

$426.55

53.

Write a linear equation in the form of y=mx+b

a)

y = 2x + 3

b)

y = -2x + 3

c)

y = 2x -3

d)

y = 3x - 4

54.

Write a linear equation in the form of y=mx+b

a)

y= 3x + 5

b)

y = 5x - 3

c)

y = 2x + 3

d)

y = 5x + 3

55.

Write a linear equation in the form of y=mx+b

a)

y = 2x + 2

b)

y = 2x - 2

c)

y = x + 2

d)

y = 3x - 2

56.

Write a linear equation in the form of y=mx+b

a)

y = 3x - 3

b)

y = -3x + 3

c)

y = -3x - 3

d)

y = 3x + 3

57.

Write a linear equation in the form of y=mx+b

a)

y = -4x +6

b)

y = 6x - 4

c)

y = 4x - 6

d)

y = 3x - 2

58.

Write a linear equation in the form of y=mx+b

a)

y = 3x + 5

b)

y = 2x + 5

c)

y = 5x - 2

d)

y = -3x + 5

59.

Write a linear equation in the form of y=mx+b

a)

y = x + 2

b)

y = 2x - 1

c)

y = 3x - 2

d)

y = 2x +1

60.

Write a linear equation in the form of y=mx+b

a)

y = -2x + 7

b)

y = 7x - 2

c)

y = x + 7

d)

y = -2x

61.

Write a linear equation in the form of y=mx+b

a)

y = 6x - 1

b)

y = 6x + 1

c)

y = -x + 6

d)

y = 2x -1

62.

Write a linear equation in the form of y=mx+b

a)

y = 2x + 10

b)

y = 3x - 2

c)

y = -x + 1

d)

y = 7x + 2

63.

Write a linear equation in the form of y=mx+b

a)

y = 3x + 4

b)

y = 3x - 4

c)

y = 3x + 2

d)

y = 4x + 3

64.

Write a linear equation in the form of y=mx+b

a)

y = -2x - 3

b)

y = 2x - 3

c)

y = 3x -2

d)

y= -3x -2

65.

Write a linear equation in the form of y=mx+b

a)

y = 2x + 1

b)

y = x + 2

c)

y = 3x = 2

d)

y = 2x - 1

66.

Write a linear equation in the form of y=mx+b

a)

y = -3x -6

b)

y = 3x - 6

c)

y = 6x - 3

d)

y = 2x - 3

67.

Write a linear equation in the form of y=mx+b

a)

y = x - 2

b)

y = 3x + 1

c)

y = 4x - 1

d)

y = 5x - 2

68.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
69.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
70.
6a - 3d
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
71.
2x + 3 + x2; for x = 4
a)
17
b)
27
c)
19
d)
25
72.
8y + 12 - 2z
for y = 4 and z = 2
a)
40
b)
20
c)
84
d)
34
73.
Evaluate 3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
74.
Evaluate when x = 8:
2x + x - 10
a)
34
b)
22
c)
14
d)
24
75.
Evaluate the expression when x = 3. 
2x2 - 5
a)
31
b)
12
c)
7
d)
13
76.
Evaluate the expression when x = 8:  
7(6 + 3 − x)
a)
72
b)
56
c)
21
d)
7
77.
Evaluate when x = 2 and y = 5:
2 + (12 - 5x) ⋅ 2y
a)
22
b)
40
c)
142
d)
-86
78.
a2 - b2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
79.
What is the first step in solving this problem:
12 ÷ 6 (3) + 8
a)
multiplication
b)
addition
c)
division
d)
subtraction
80.
Simplify:
75 ÷ 5 × 9 – 9
a)
126
b)
226
c)
711
d)
300
81.
What would be the second step in this problem? (3 + 4) 9 + 3 =
a)
parenthesis
b)
multiplication
c)
addition
d)
exponent
82.
Evaluate if a = 2 and b = 8
6 + 7b - 3a
a)
-100
b)
100
c)
-56
d)
56
83.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
84.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
85.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
86.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
87.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
88.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
89.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
90.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
91.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
92.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
93.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
94.
Graph y = -3
a)
A
b)
B
c)
C
d)
D
95.
Which equation matches the graph? (Click me to see the image)
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
96.
Write the slope intercept form of the equation graphed.
a)
y = -2x + 3
b)
y = 1.5x + 2
c)
y = 2x - 3
d)
y = -1.5x - 2
97.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
98.

What type of slope does the following graph have:

a)

positive

b)

negative

c)

zero

d)

undefined

99.

What type of slope does the following graph have:

a)

positive

b)

negative

c)

zero

d)

undefined

100.

What is the graph's equation?

a)

y = 4/3x - 1

b)

y = -4/3x - 1

c)

y = 3/4x + 1

d)

y = - 3/4x - 1

101.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

102.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

103.

What is the slope of the table?

a)

-3/5

b)

-5/3

c)

3/5

d)

5/3

104.

Solve this equation for y:
−6x+3y=9-6x+3y=9  

a)

y = 2x + 9

b)

y = 6x - 3

c)

y = 2x + 3

d)

y = 6x + 9

105.

Convert the standard form equation into slope-intercept form.
x - 5y = 10

a)

y = ⅕x - 2

b)

y = -x - 2

c)

x = -10

d)

y = 27, 239, 430

106.

What is the slope of the line?

a)

−32-\frac{3}{2}

b)

32\frac{3}{2}

c)

23\frac{2}{3}

d)

0

107.

Which is the graph of 3x + 3y = 6?

a)

A

b)

B

c)

C

d)

D

108.

What is the slope of the line 10x-5y=30 ?
Hint: Slope is just a number, don't include the x.

(a)  

109.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

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