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Worksheets

Review (Lines, Slopes, Like Terms, etc.)

Total questions: 55

Worksheet time: 2hrs 35mins

Name
Class
Date
1.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
2.
Which equation best represents the line on the graph?
a)
y= 1/2x
b)
y= -1/2x
c)
y = 2x
d)
y = -2x
3.
Find the slope of the line.
a)
4/2
b)
-4/2
c)
2
d)
-2
4.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
5.
Find the slope of the line.
a)
Undefined
b)
0
c)
1/1
d)
-1/1
6.
Which equation represents the graph?
a)
x = 2
b)
y = 2
c)
y = 2x
d)
y = undefined
7.
What is coordinate L?
a)
(6,6)
b)
(2,5)
c)
(2,3)
d)
(5,2)
8.
Name the x- and y-intercepts for the equation:
2x - y = 6
a)
(0, 3) and (-6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, -6)
d)
(-3, 0) and (0, -6)
9.
What is the y- intercept of the graph of 3x+4y=24
a)
5
b)
-5
c)
6
d)
-6
10.
What is the Domain of the set of coordinate? 
(-2,4) (-3,5)(-4,6)
a)
4, 5, 6, 
b)
-2, -3 -4 
c)
-2, -4 
d)
no domain
11.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
12.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
13.
Given the table, write the equation in the slope-intercept form.
a)
y = 1/3x + 6
b)
y = 3x + 6
c)
y = 2x + 6
d)
y = 1/2x + 6
14.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
15.
What equation matches this graph?
a)
y = 2x + 2
b)
y = 3/2x + 2
c)
y = 1/2x + 2
d)
y = 2/3x + 2
16.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
17.
Consider the function f(x)=9x+5.  Find f(7).
a)
102
b)
68
c)
7
d)
21
18.
Consider the function k(x)=x/5-3.  Find k(-20).
a)
-20
b)
1
c)
-7
d)
-1
19.
A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?
a)
y = 30 + 12.5x 
b)
y = 12.5 + 30
c)
y = 12.5 + 30x
20.
Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.
a)
y = 48x + 5
b)
y = -5 + 48x
c)
y = -5x - 48
d)
y = 48 - 5x
21.

The population of the town is given by the function y = 60,000 - 500x, where y is the number of inhabitants and x is the time in years. What is the population of the town after 9 years?

a)

55,500

b)

55,000

c)

54,500

d)

D:54,000

22.
You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?
a)
20 rides
b)
30 rides
c)
40 rides
d)
50 rides
23.
If I join the gym for a start up fee of $40 and monthly fee of $10, what equation models this?
a)
y = 10x - 40
b)
y = 40x + 10
c)
y = 10x + 40
d)
y = 40x - 10
24.

The amusement park charges $20 to get in plus $1.50 per ride. Which linear equation below represents this relationship.

a)

y=1.5+20x

b)

y=1.5x + 20

c)

y = 20x + 1.5

d)

y= 21.5x

25.

Which of the graphs represents the linear inequality y>12x+3y>\frac{1}{2}x+3  ?

a)
b)
c)
d)
26.

Which of the graphs represents the linear inequality yx4y\le-x-4  ?

a)
b)
c)
d)
27.

Which of the following linear inequalities represents the graph?

a)

y3x5y\ge3x-5  

b)

y13x5y\ge\frac{1}{3}x-5  

c)

y13x5y\le-\frac{1}{3}x-5  

d)

y>13x+5y>\frac{1}{3}x+5  

28.

Which of the following linear inequalities represents the graph?

a)

y3y\ge3  

b)

x3x\ge3  

c)

y3y\le3  

d)

y<3y<3  

29.

Which of the following linear inequalities represents the graph?

a)

x2x\ge2  

b)

x2x\ge-2  

c)

y2y\ge-2  

d)

y>2y>-2  

30.

Which of the following linear inequalities represents the graph?

a)

y3xy\ge3x  

b)

y>3xy>3x  

c)

y<3xy<3x  

d)

y>13xy>\frac{1}{3}x  

31.

Which of the following linear inequalities represents the graph?

a)

y14xy\ge\frac{1}{4}x  

b)

y4x2y\le4x-2  

c)

y<14x+2y<\frac{1}{4}x+2  

d)

y14x+2y\le\frac{1}{4}x+2  

32.

Which of the following linear inequalities represents the graph?

a)

y>45x1y>-\frac{4}{5}x-1  

b)

y45x+1y\le\frac{4}{5}x+1  

c)

y<45x1y<-\frac{4}{5}x-1  

d)

y45x+1y\le-\frac{4}{5}x+1  

33.

When graphing a linear inequality, < and > signs would require you to draw...

a)

a solid line

b)

a dashed line

34.

When graphing a linear inequality, \le   and \ge   signs would require you to draw...

a)

a solid line

b)

a dashed line

35.

Using the graphed inequality, determine to which category each ordered pair belongs.

Categorize the following

(1, 0)\left(1,\ 0\right)  

(3, 2)\left(3,\ 2\right)  

(3, 4)\left(-3,\ 4\right)  

(2,5)\left(2,-5\right)  

(5, 4)\left(5,\ 4\right)  

(2,4)\left(-2,-4\right)  

Solution
Not a solution
36.

Using the graphed inequality, determine to which category each ordered pair belongs.

Categorize the following

(5,3)\left(5,-3\right)  

(3, 1)\left(3,\ -1\right)  

(3, 5)\left(-3,\ -5\right)  

(3, 5)\left(3,\ 5\right)  

(5, 3)\left(-5,\ 3\right)  

(4, 2)\left(-4,\ 2\right)  

Solution
Not a solution
37.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, 5)
d)
(5, 20)
38.
Are the points on the line part of the solution set or not?
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
39.
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
40.

Which is the best method for solving this system of equations?

-4x-2y=-12

4x+8y=-24

a)

Substitution

b)

Elimination

c)

Graphing, Not Graphing...

(aka Picturing the Graph)

(aka Using graphing skills but not actually graphing)

41.

Should you use the Substitution or Elimination method to solve this system of equations?

a)

Substitution

b)

Elimination

42.

Should you use the Substitution or Elimination method to solve this system of equations?

a)

Substitution

b)

Elimination

43.

Should you use the Substitution or Elimination method to solve this system of equations?

a)

Substitution

b)

Elimination

44.

Should you use the Substitution or Elimination method to solve this system of equations?

a)

Substitution

b)

Elimination

45.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
46.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
47.

Is (1,10) a solution to

y=7x+5

y=x+9

a)

yes

b)

no

48.

Solve the following systems of equations using substitution:


2y + x = -15

x = 3y

a)

(-3, -9)

b)

(-9, -3)

c)

(-3, 9)

d)

(9, -3)

49.

x + 1 + 3x

a)

3x + 1

b)

4x + 1

c)

3x + 4

d)

5x + 3

50.

4x - 3 + 2 - 2x

a)

6x + 5

b)

2x + 1

c)

2x - 1

d)

6x - 1

51.

8(8 + 4x) + 6

a)

64 + 38x

b)

70 + 32x

c)

32x + 38

d)

70 + 38x

52.

-9 + 4(4x + 9)

a)

32x + 16

b)

27 + 16x

c)

16x

d)

16x + 18

53.

-9w + 7 - 4w - 16

a)

-13w -9

b)

5w -23

c)

-13w - 23

d)

-5w - 9

54.

-2m - 5(2 + 7m)

a)

-37m - 10

b)

33m -10

c)

33m + 10

d)

-37m - 5

55.
f(x) = 2x2 + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].
a)
2
b)
1/2
c)
-2
d)
-1/2