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PAP Algebra 1 - Simplify & Solve Equations / Coordinate Plane Re

Total questions: 45

Worksheet time: 1hrs 24mins

Name
Class
Date
1.

The four regions on the coordinate plane are called_________________

a)

origins

b)

quadrants

c)

axis

d)

rooms

2.

Which letter represents the first number in an ordered pair?

a)

a

b)

c

c)

y

d)

x

3.

How do you correctly write an ordered pair?

a)

x,y

b)

(x,y)

c)

(y,x)

d)

(a,b)

4.

In which quadrant is letter P?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

5.

In which quadrant is letter N?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

6.

What is the correct coordinate for letter A?

a)

(2,2)

b)

(2,-2)

c)

(2,4)

d)

(0,0)

7.

What is the coordinate for C?

a)

(2,4)

b)

(4,2)

c)

(2,5)

8.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{(-6,14), (0,32), (2,38), (4,44)}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
9.
What is the range?
a)
{-2, -1, 0, 3}
b)
{3, 0, -1, 0, -2}
c)
{-4, -2, 1, 2, 5}
d)
{-4, -2, -1, 0, 1, 2, 3, 5}
10.

A set of ordered pairs is called what?

a)

An Expression

b)

A Relation

c)

A Function

d)

The Vertical Line Test

11.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
12.

Which table represents the same relation as the graph?

a)
b)
c)
d)
13.

ANY set of ordered pairs is called what?

a)

Coordinates

b)

Relation

c)

Function

d)

Vertical Line Test

14.
Simplify the following expression:
-8 (5b + 2) -7 (b - 5)
a)
-33b + 19
b)
-47b2 +  21
c)
33b - 19
d)
-47b -19
15.
Simplify the following expression:
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
16.

Match the following like terms.

a)

3x

1.

4x

b)

-7

2.

3

c)

-8y

3.

10y

d)

-a

4.

12a

e)

4b

5.

-8b

17.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
18.

Use the Distributive Property to write an equivalent expression to 4(7+4t)4\left(7+4t\right)  .

a)

11+8t11+8t  

b)

7+16t7+16t  

c)

28+4t28+4t  

d)

28+16t28+16t  

19.

In the expression, 5x+3y−85x+3y-8  , what are the variables?

a)

5 and 3

b)

8

c)

2

d)

x and y

20.

Simplify: 2t−36−3t+162t-36-3t+16  

a)

5t+525t+52  

b)

−t+20-t+20  

c)

−t−20-t-20  

d)

t−52t-52  

21.
Simplify the following expression:
-6x + 4(-x - 3)
a)
-2x - 12
b)
10x + 12
c)
-10x - 12
d)
-2x + 12
22.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
23.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
24.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
25.

Terms that have the same variables such as 5x and -8x.

a)

like terms

b)

coefficients

c)

exponents

d)

variables

26.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
27.
Simplify:
4(8x + 1) - 6(1 - 8x)
a)
-80x - 2
b)
80x + 2
c)
-80x + 2
d)
80x - 2
28.

3y + 5

What is a name for the 3 in this expression?

a)
term 
b)
variable 
c)
coefficient
d)
constant
29.

Translate:

Twice a number plus 4 is 8

a)

2n+4=82n+4=8

b)

2(n+4)=82\left(n+4\right)=8

c)

2n=82n=8

d)

n+4=8n+4=8

30.

Translate:

twice a number minus 5 is 7.

a)

2n−52n-5

b)

2n−5=72n-5=7

c)

2n+5=72n+5=7

d)

2n−7=52n-7=5

31.

Distribute: -2(3x - 8) = ​ (a)   .

Combine Like Terms: 2 + 7x - 18 - x = ​ (b)   .

Choose from the below words
-6x + 16
6x - 16
-6x - 16
6x + 16
-6x - 8
6x - 20
7x - 16
7x - 20
-6x - 10
32.

Solve: 3(2x + 9) - 4 = 29

33.
d + 5 = 10
a)
d = -5
b)
d = 5
c)
d = 0
d)
no solution
34.
-12 = -4x
a)
x = 3
b)
x = -3
c)
x = 4
d)
x = -4
35.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
36.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
37.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
38.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
39.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
40.

Find the line that contains the error.

a)

Line 1

b)

Line 2

c)

Line 3

d)

Line 4

e)

Line 5

41.
What is the best first step to solve for n in the following equation?
3n - 7 = 30
a)
Divide 3n by 3
b)
Add 7 to both sides
c)
Subtract 30 from both sides
d)
Subtract 7 from both sides
42.
Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
43.
Solve:
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
44.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
45.

Choose the three equations that have x=4 as a solution.

a)

42=38+x42=38+x

b)

34x=13634x=136

c)

18=x−218=x-2

d)

9x=279x=27

e)

36=x+3236=x+32