Free Printable Unit 1

1.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

2.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

3.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

4.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4/1

d)

4/1

5.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

6.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

7.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

8.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

9.

How many solutions does this equation have? 3x + 2 = 3x + 2

a)

One Solution

b)

No Solution

c)

Infinite Solutions

10.

Solve for x:
2x + 5 = 12

a)

7

b)

3

c)

3.5

d)

8.5

11.

Solve for x:
2(3x + 4) + 2 = 4 + 3x

a)

2

b)

-2/3

c)

10

d)

-2

12.

Solve for x:
8x + 2 + 3x + 5 = x + 12

a)

-1/2

b)

2

c)

-2

d)

1/2

13.

Given f(x) =
2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

14.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

15.

What is the slope of a line that passes through the points (-2, 6) and (-8, 15)

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$\frac{2}{3}$

d)

$-\frac{2}{3}$

16.

What is the equation of a line that passes through (15, -18) and (5, -6)

a)

$y=-\frac{5}{6}x+4$

b)

$y=-\frac{5}{6}x+0$

c)

$y=-\frac{6}{5}x+4$

d)

$y=-\frac{6}{5}x+0$

17.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

a)

y = 8x + 50

b)

C = 50m +8

c)

y = 50x + 8

d)

C = 8m + 50

18.

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y=15x

b)

y=15x+80

c)

y=x+15

d)

y=80x+15

19.

Which of these represents standard form form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

20.

Which of these represents slope intercept form form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

21.

Write the equation in slope-intercept form: 3x + y = 12

a)

y = -3x +12

b)

x = y + 4

c)

x = y + 12

d)

y = 3x -12

22.

Write the equation in slope-intercept form: 2x + y = 41

a)

x = 2y + 41

b)

y = 2x -41

c)

y = -2x + 41

d)

x = y -39

23.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

Hint:

y\ -\ y_{1\ }=\ m\ \left(x\ -\ x_1\right)

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

24.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

y\ -y_{1\ }=\ m\ \left(x\ -x_1\right)

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

25.

Write an equation in slope-intercept form if m = 5 through (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

26.

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

27.

Write an equation in slope-intercept form for

m = 5 through (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

28.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 4 = -1/4(x - 7)

d)

y - 7 = -1/4(x - 4)

29.

What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)

a)

y = 1/4x + 6

b)

y = -4x + 7

c)

y = -4x + 2

d)

y = 1/4x -1

30.

What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2 (3, -4)

a)

y = 3x - 2

b)

y = -1/3x - 5

c)

y = 3x - 4

d)

y = -1/3x - 3

31.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

32.

Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)

a)

parallel

b)

perpendicular

c)

neither parallel nor perpendicular

d)

both parallel and perpendicular

33.

Parallel lines have __________ slopes

a)

Equal

b)

Opposite

c)

Reciprocal

d)

Total

34.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

35.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

36.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

37.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

38.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

39.

Which ordered pair IS a solution of the inequality shown in the graph?

a)

(1, 0)

b)

(2, -2)

c)

(-1, -1)

d)

(-1, 3)

40.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

41.

The Bombetta Company wants to send a team of three representatives to a conference. Their budget is $700.00 plus $125.00 per day for expenses. If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

a)

125x + 700 ≥1,400

b)

700 + 125x ≤1,400

c)

700x + 125 ≤1,400

d)

125x - 700 ≤ 1,400

42.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

43.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

44.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

45.

a)

greater than

b)

less than

c)

less than or equal to

d)

greater than or equal to

46.

What is the solution to the system?

a)

(6, 8)

b)

(8, 6)

c)

(-6, 8)

d)

No solution

47.

Solve by graphing

5x+6y= -10

3x-2y= -6

a)

(-2,0)

b)

(0,-2)

c)

(2,0)

d)

(0,2)

48.

What is the solution to this system?
x - y = 6
y= 2x - 5

a)

(1,3)

b)

(-1,3)

c)

(-1,-7)

d)

(1,-7)

49.

Solve:
y = 7x + 9
2y + 2x = -18

a)

(5, 0)

b)

(9, 18)

c)

(-2, -5)

d)

(1, 16)

50.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15
4x + 2y = 44

b)

4x + 2y = 15
x + y = 44

c)

x = 2y + 44
4x = y + 15

d)

2x - 4y = 44
x - y = 15

51.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3
13.5x - 13y = 6

b)

x + y = 4
x - y = 6

c)

4x + 6y = 13
3x + 7y = 13.5

d)

4x - 6y = 13
3x - 7y = 13.5

52.

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3

a)

(26, 23)

b)

(26, 29)

c)

(29, 26)

d)

(29, 32)

53.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

54.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

(35, 52)

b)

(18, 69)

c)

( 52, 35)

d)

(61, 26)

55.

Allen enjoys gardening. Every sunflower plant he waters requires 0.7 liters of water, and every rose bush he waters requires 0.5 liters of water. Allen has a total (no more than) 11 liters of water for these plants. Write an inequality to represent the situation.

a)

0.7s - 0.5r ≥ 11

b)

0.7s + 0.5r ≥ 11

c)

0.7s + 0.5r ≤ 11

d)

0.7r + 0.5s ≤ 11

56.

Your school is hosting a spaghetti dinner as a fundraiser. You estimate 200 adults and 250 children will attend. Let x be the cost of adult tickets and y the cost of a child ticket. Write an inequality to represent what ticket prices to set to raise at least $3200.

a)

x + y ≥ 3200

b)

250x + 200y ≥ 3200

c)

200x + 250y ≤ 3200

d)

200x + 250y ≥ 3200

57.

You are running the concession stand at a basketball game. You sell hot dogs for $2 and sodas for $0.75. To cover overhead expenses, you need to make more than $180. Write an inequality to find how many hot dogs and sodas you need to sell. Let x equal the number of hot dogs and y equal the number of sodas.

a)

y > x + 180

b)

x + y > 180

c)

0.75x + 2y > 180

d)

2x + 0.75y > 180

58.

Given y=3^xdetermine the initial value

a)

1

b)

3

c)

0

d)

1/3

59.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

60.

Is the function below increasing or decreasing?

f(x)=2(4)^x.

a)

Increasing

b)

Decreasing

61.

Given the function, f(x) = 6.5(0.85)^x, identify the constant ratio.

a)

6.5

b)

0.85

c)

x

d)

f(x)

62.

$7x^3y^2\cdot5xy^9$

a)

$12x^4y^{11}$

b)

$35x^4y^{11}$

c)

$35x^3y^{11}$

d)

$12x^3y^{11}$

63.

$\left(z^5\right)^5$

a)

$z^{10}$

b)

1

c)

$z^{25}$

d)

0

64.

$\left(\frac{3x^4}{y^6}\right)^5$

a)

$\frac{15x^{20}}{y^{30}}$

b)

$\frac{3x^{20}}{y^6}$

c)

$\frac{243x^{20}}{y^{30}}$

d)

$\frac{243x^9}{y^{11}}$

65.

$\left(\frac{3x^7}{2y^{12}}\right)^0$

a)

$\frac{x^7}{y^{12}}$

b)

0

c)

$\frac{3x^7}{2y^{12}}$

d)

1

66.

$3^3j^2k^{-4}\cdot3^{-7}j^3k^2$

a)

$3^{-4}j^5k^{-4}$

b)

$\frac{j^5k^2}{3^4}$

c)

$\frac{j^5}{3^4k^2}$

d)

$9^{-4}j^5k^2$

Unit 1 - Unit 5/8

Total questions: 66

Worksheet time: 6hrs 30mins

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