Deck 2: Simplifying Expressions
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Deck 2: Simplifying Expressions
1
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

B
2
Evaluate the expression when
is -5 and
is 8. 
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

D
3
Evaluate the expression when
is 3. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

A
4
If the temperature on the ground is
, then the temperature at
feet above the ground can be found from the expression
Find the temperature at an altitude of 24,000 feet.
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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5
Evaluate the expression when
is 5. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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6
Evaluate the expression when
is -2 and y is 9. 


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7
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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8
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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9
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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10
Evaluate the expression when
is 2. 


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11
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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12
Evaluate the expression when
is -8. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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13
Find the first four numbers of the sequence by substituting the counting numbers, in order, into the following expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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14
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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15
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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16
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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17
Fill in the table below to find the sequences formed by substituting the first four counting numbers into the expressions
and
. 
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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18
Evaluate the expression when
is -2 and
is 4. 
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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19
Evaluate the expression when
is -3 and
is 6. 
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

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20
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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21
Simplify the expression. 

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22
If the temperature on the ground is
, then the temperature at
feet above the ground can be found from the expression
Find the temperature at an altitude of 12,000 feet. The temperature is __________ 




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23
Find the solution for the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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24
The figure below shows part of a room. From a point on the floor, the angle of elevation to the top of the door is
, whereas the angle of elevation to the ceiling above the door is
. Use this diagram to write an equation involving
, and then solve the equation to find the number of degrees in the angle that extends from the top of the door to the ceiling. 
A)
B)
C)
D)
E)




A)

B)

C)

D)

E)

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25
Evaluate the expression when
is 5. 


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26
Find the solution for the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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27
Evaluate the expression when
is -3 and y is 6. 


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28
Simplify the expression. 

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29
Find the first four numbers of the sequence by substituting the counting numbers, in order, into the following expression.
The first term is __________. The second term is __________. The third term is __________. The fourth term is __________.

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30
Simplify the expression. 

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31
Simplify the expression. 

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32
Simplify the expression. 

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33
Evaluate the expression when
is -4 and
is 5. 



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34
Simplify the expression. 

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35
Simplify the expression. 

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36
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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37
Evaluate the expression when
is -9. 


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38
Simplify the expression. 

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39
Simplify the expression. 

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40
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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41
Find the solution for the equation.
__________


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42
Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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43
Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation.
__________


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44
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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45
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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46
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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47
Find the solution for the equation.
__________


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48
Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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49
Simplify both sides of the equation as much as possible, and then solve. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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50
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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51
Find the solution for the equation.
__________


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52
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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53
Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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54
Solve the equation. Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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55
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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56
Find the solution for the equation.
__________


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57
Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation.
__________


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58
Simplify both sides of the equation as much as possible, and then solve. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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59
Find the solution for the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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60
Simplify both sides of the equation as much as possible, and then solve. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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61
Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation.
__________


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62
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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63
Simplify both sides of the equation as much as possible, and then solve.
__________


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64
Solve the equation. 
A)
B)
C)
D)
E) undefined

A)

B)

C)

D)

E) undefined
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65
Simplify both sides of the equation as much as possible, and then solve. 

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66
Find the solution for the equation.
__________


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67
Find the solution for the equation. 

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68
Solve the equation by multiplying both sides by -1. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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69
Find the solution for the equation. 

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70
Simplify both sides of the equation as much as possible, and then solve.
__________


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71
Solve. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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72
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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73
The figure below shows part of a room. From a point on the floor, the angle of elevation to the top of the door is
, whereas the angle of elevation to the ceiling above the door is
. Use this diagram to write an equation involving
, and then solve the equation to find the number of degrees in the angle that extends from the top of the door to the ceiling.
Equation: __________ Solution: x = __________ degrees




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74
Solve the equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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75
Find the solution for the equation.
__________


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76
Apply the distributive property to remove the parentheses, then simplify each side before using the addition property of equality. Then find the solution for the equation.
__________


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77
Solve the following equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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78
Find the solution for the equation. 

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79
Find the solution for the equation.
__________


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80
Find the solution for the equation.
__________


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