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Pre Al Tri 1 Review

Total questions: 57

Worksheet time: 14hrs 15mins

Name
Class
Date
1.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

2.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

3.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
4.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
5.
Simplify by combining like terms.
m + 9 - 4m
a)
5m
b)
m + 5m
c)
-3m + 9
d)
4m
6.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

7.
Which of the following is equivalent to 4(2x + 3)
a)
8x + 12
b)
8x + 3
c)
8x - 12
d)
20x
8.
Which of the following is equivalent to 2(c - 8)?
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
9.
a)
6x+6
b)
5x+18
c)
6x+12
d)
6x+18
10.

What do the parentheses tell you to do?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

11.
What is the slope?
a)
1/2
b)
2
c)
7
d)
3
12.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
13.
What is the slope?
a)
2
b)
1/2
c)
1
d)
1.5
14.

Slope is best described as_________________

a)

steepness of a line

b)

length of a line

c)

width of a line

d)

various aspect of mathematical equations

15.
Find the slope:
a)
2
b)
-2
c)
1/2
d)
-1/2
16.

What is the slope of the table?

a)

15

b)

6

c)

1/6

d)

-6

17.

What is the slope of the table?

a)

1/2

b)

2

c)

-2

d)

3

18.

Determine the y-intercept from the table.

a)

-2

b)

2

c)

9 

d)

7 

19.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
20.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
21.

What is the slope of the equation:

y = -2x + 5

a)

2

b)

-2

c)

5

22.

What is the y-intercept of the equation

y = 5x - 8

a)

5

b)

-5

c)

8

d)

-8

23.

What is the y-intercept of the equation:

y = -5x

a)

5

b)

-5

c)

1

d)

0

24.

What is the y-intercept of the line: y = -2x + 6

a)

y

b)

(6, 0)

c)

(-2, 0)

d)

(0, 6)

25.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=(-1/3)x-1
d)
y= -3x-3
26.
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

27.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for y, the total cost, to rent the boat for x hours.

a)

x = 2y + 15

b)

y = 15x + 2

c)

x = 15y + 2

d)

y = 2x + 15

28.

You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.

Which of the following equations matches the situation?

a)

y = 0.75x + 3

b)

y = 3x + 0.75

c)

y = 3x - 0.75

d)

y = 0.75x - 3

29.
 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x +20
c)

y = 20x - 5

d)

y = 5x - 20

30.

Bob has $150 in his savings account and saves $40 per month.

a)

y = 150x - 40

b)

y = 40x + 150

c)

y = 150x + 40

d)

y = 40x - 150

31.

Find the slope from the table.

a)

m = -1/6

b)

m = 12

c)

m = -12

d)

m = 6

32.

Find the y-intercept from the table.

a)

b = 2

b)

b = 7

c)

b = 1

d)

b =-3

33.

Which equation matches the table?

a)

y = 4x + 3

b)

y = 4x -3

c)

y = 3x + 4

d)

y = 8x + 2

34.

Write the equation that represents this table.

a)

y = 10 + 2x

b)

y = -2 + 3x

c)

y = 1 - 1x

d)

y = 2 + 7x

35.

Which of the graphs shows that one of runners started 10 yards further ahead of the

other?

a)
b)
c)
d)
36.

In which of the following graphs below are both runners moving at the same speed?

a)
b)
c)
d)
37.

Match the description to the graph:

"The car is stopped."

a)
b)
c)
d)
38.

Match the description to the graph:

"The car is traveling at a constant speed."

a)
b)
c)
d)
39.

Match the description to the graph:

"The car is coming back."

a)
b)
c)
d)
40.

Segment O-A The bus is _________________.

a)

at rest

b)

returning (to original position)

c)

moving forward

41.

Segment A-B The bus is _________________.

a)

at rest

b)

returning (to original position)

c)

moving forward

42.

Segment B-C The bus is _________________.

a)

at rest

b)

returning (to original position)

c)

moving forward

43.

Which runner won the race?

a)

Albert

b)

Bob

c)

Charlie

44.

How long did Charlie stop for a rest?

a)

2.5 seconds

b)

2 seconds

c)

3 seconds

d)

5 seconds

45.
Find the slope
a)
2
b)
-2
c)
1/2
d)
-1/2
46.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
47.
Find the slope of the line.
a)
1/4
b)
-1/4
c)

-4

d)

4

48.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
49.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
50.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
51.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
52.

Does the graph represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

53.

Does the graph represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

54.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
55.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
56.

Solve the following systems of equations using substitution:


x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

57.

Solve the following systems of equations using substitution:


5x - 2y = 3

y = 2x

a)

(6, 3)

b)

(1, 2)

c)

(3, 6)

d)

(2, 1)

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