Free Printable Systesm of Inequalities & More

1.

a)

Function

b)

Not a Function

2.

a)

Function

b)

Not a Function

3.

What is the Domain?

a)

-10 ≤ y ≤ 6

b)

y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All Real Numbers

4.

What is the Range?

a)

-3 ≤ y < 2

b)

-3 < y ≤ 2

c)

-7 ≤ y ≤ 2

d)

-7 ≤ y < 2

5.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

6.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

7.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

8.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

9.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

a)

x + y = 21
6x + 4y = 104

b)

x + y = 104
6x + 4y = 21

c)

x + y = 21
6y + 4x = 104

d)

x + y = 104
6x + 4y = 21

10.

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)

1.5x + 0.5y = 78.5
x + y = 87

b)

1.5x + 0.5y = 78.5
1.5x + 0.5y = 87

c)

x + y = 78.5
1.5x + 0.5y = 87

d)

x + y = 78.5
x + y = 87

11.

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation?

a)

x + y = 6
14.80x + 17y = 91

b)

x + y = 91
14.80x + 17y = 6

c)

x + y = 6
14.80y + 17x = 91

d)

x + y = 91
14.80x+ 17y = 6

12.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

13.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

14.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

15.

Which of the following inequalities matches the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

16.

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

17.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

18.

Write an inequality represented by the graph.

a)

x < - 3

b)

y < - 3

c)

x > - 3

d)

x ≥ - 3

19.

An inequality using a > or a < has a ___________ line

a)

invisible

b)

solid

c)

dashed

20.

Which system of inequalities matches the graph?

a)

x> -2
y < -4

b)

x< 2
y> 4

c)

x > 2
y < 4

d)

x > 2
y <- 4

21.

Which graph represents

$y<-\frac{1}{2}x+3$

a)

b)

c)

d)

22.

Which points are solutions to the system of inequalities. Select all that apply.

a)

(2,2)

b)

(0,0)

c)

(4,1)

d)

(0,1)

e)

(3,-1)

23.

Which points are solutions to the system of inequalities? Select all that apply.

a)

(0,0)

b)

(-1,1)

c)

(1,-1)

d)

(0,-4)

e)

(0,1)

24.

Which points are solutions to the system of inequalities? Select all that apply.

a)

(-1,3)

b)

(-3,1)

c)

(0,4)

d)

(4,0)

e)

(0,2)

25.

Which two inequalities make up the given system?

a)

$y\le-2x+1$

b)

$y\ge-2x+1$

c)

$y>\frac{1}{3}x-2$

d)

$y<\frac{1}{3}x-2$

26.

Which two inequalities make up the given system?

a)

$y<\frac{-1}{2}x+1$

b)

$y>\frac{-1}{2}x+1$

c)

$y\ge4x-4$

d)

$y\le4x-4$

27.

Which graph represents

$y\le2x-1$

a)

b)

c)

d)

28.

If the inequality symbol is $\le$ or $\ge$ , the line will be ___________.

a)

solid

b)

dotted

29.

If the inequality symbol is $<$ or $>$ , the line will be _________.

a)

solid

b)

dotted

30.

If the inequality symbol is $>$ or $\ge$ you shade ________.

a)

above

b)

below

31.

If the inequality symbol is $<$ or $\le$ you shade ________.

a)

above

b)

below

32.

What is the boundary line (symbol) of the graph?

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

33.

The graph shows which inequality?

a)

y ≤ 3

b)

y ≥ 3

c)

y > 3

d)

x > 3

34.

The graph shows which inequality?

a)

y ≤ 3

b)

y ≥ 3

c)

y > 3

d)

x > 3

35.

Which system of inequalities matches the graph?

a)

y > 2x - 4
x ≥ 2

b)

y < 2x - 4
x < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y ≥ 2

36.

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. JoAnn wants to to tutor and baby-sit and make at least $66 per week. Formulate an system of inequalities to model how many hours per week she can work at each job.

a)

b + t < 15
3b + 6t > 66

b)

b + t > 15
3b + 6t < 66

c)

3b + 6t > 15
b + t < 66

d)

3b + 6t < 15
b + t < 66

37.

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

a)

x + y < 10

2x + 3y ≥ 20

b)

x + y ≤ 10

2x + 3y ≥ 20

c)

x + y ≤ 10

2x + 3y > 20

d)

x + y < 10

2x + 3y > 20

38.

The set of all x-values is the________________.

a)

Slope

b)

Domain

c)

Range

d)

Discrete

39.

The________________of a line is a measure of its steepness.

a)

Slope

b)

Domain

c)

Range

d)

Discrete

40.

The set of all y-values is the________________.

a)

Slope

b)

Domain

c)

Range

d)

Discrete

41.

In $y=mx+b$ the letter $b$ represents the

a)

y-intercept

b)

slope

c)

domain

d)

range

42.

In $y=mx+b$ the letter $m$ represents the

a)

y-intercept

b)

slope

c)

domain

d)

range

43.

A U-Shaped Curve

a)

Parabola

b)

Exponential Curve

c)

Linear Curve

d)

Positive Curve

44.

Another word for X-Intercept

a)

Root

b)

Initial Value

c)

Slope

d)

Y-Intercept

45.

What is NOT a definition of a solution?

a)

The x-intercept

b)

The y-intercept

c)

Zero

d)

Root

46.

What is another word for the Rate of Change of a function?

a)

The lowest to highest x values of a function

b)

The vertex of a line

c)

The slope of a line

d)

The y-intercept of the line

47.

Ax + By = C

a)

Slope-intercept Form

b)

Slope Formula

c)

Standard Form

d)

Point-slope Form

48.

A ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.

a)

Y-intercept

b)

Rise

c)

Rate of Change

d)

Run

49.

a)

Slope-intercept form

b)

Standard Form

c)

Point-slope form

d)

Slope Formula

50.

The letters that represent numbers are called ___________

a)

constants

b)

coefficients

c)

variables

d)

terms

51.

Numbers without a variable are called ___________

a)

constants

b)

coefficients

c)

exponents

d)

terms

52.

What do you call the "9" in this expression?
5j + 6k - 9

a)

exponent

b)

constant

c)

coefficient

d)

variable

53.

Which of the following is an expression?

a)

6x + 2x = 6

b)

10 = 5x

c)

2x + 6x - 10

d)

6x² + 10 = 25

54.

Which of the following is an equation?

a)

6x + 2x - 6

b)

6x² + 10 = 25

c)

6x² + 10 - 25

d)

10y - 6 + 34u

55.

Equations must have an

a)

≠

b)

=

c)

≤

d)

≥

56.

4 is the __________ of 4n.

a)

equation

b)

variable

c)

coefficient

d)

solution

57.

When the vertex of a parabola is at its highest point it is called a ______.

a)

axis of symmetry

b)

range

c)

minimum

d)

maximum

58.

When the vertex of a parabola is at its lowest point it is called a ______.

a)

axis of symmetry

b)

range

c)

minimum

d)

maximum

59.

A symbol that represents an unknown factor in an equation/expression.

a)

letter

b)

variable

c)

constant

d)

number

60.

The initial value is also known as the ____.

a)

y-intercept

b)

x-intercept

c)

zero

d)

solution

61.

Which parent function is the graph presenting?

a)

linear

b)

quadratic

c)

cubic

d)

exponential

62.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

63.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

64.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

65.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

66.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

67.

What is the Slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

68.

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit.

Write an equation that shows the total cost c of hitting b buckets of golf balls.

a)

c = 2.75b + 4

b)

c = 2.75b

c)

c = 4b- 2.75

d)

2.75b - 4c = 6.75

69.

Belinda's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. Write an equation that models this situation.

a)

y = 140x +48

b)

-48x +140y=0

c)

y = 48x +140

d)

y = 48x

70.

a)

y = -⅓x + 2

b)

y = ⅓x - 2

c)

y = ⅓x + 2

d)

y = -⅓x - 2

Systesm of Inequalities & More

Total questions: 70

Worksheet time: 5hrs 19mins

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