Deck 3: Introduction to Algebra
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Estimate how much gas an average car can hold (in gallons)
Estimate the cost of a graphing calculator (in dollars)
Estimate the price of a 12-oz can of corn (in dollars)
Estimate the cost of one wooden pencil (in dollars)
Estimate how much gas an average car can hold (in gallons)
Estimate the cost of a graphing calculator (in dollars)
Estimate the price of a 12-oz can of corn (in dollars)
Estimate the cost of one wooden pencil (in dollars)
Estimate how much gas an average car can hold (in gallons)
Estimate the cost of a graphing calculator (in dollars)
Estimate the price of a 12-oz can of corn (in dollars)
Estimate the cost of one wooden pencil (in dollars)
Estimate how much gas an average car can hold (in gallons)
Estimate the cost of a graphing calculator (in dollars)
Estimate the price of a 12-oz can of corn (in dollars)
Estimate the cost of one wooden pencil (in dollars)
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Five times the cube of a number
The cube of the sum of a number and 5
The sum of a number cubed and 5
The cube of 5 times a number
Five times the cube of a number
The cube of the sum of a number and 5
The sum of a number cubed and 5
The cube of 5 times a number
Five times the cube of a number
The cube of the sum of a number and 5
The sum of a number cubed and 5
The cube of 5 times a number
Five times the cube of a number
The cube of the sum of a number and 5
The sum of a number cubed and 5
The cube of 5 times a number
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trinomial
monomial
binomial
trinomial
monomial
binomial
trinomial
monomial
binomial
trinomial
monomial
binomial
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Deck 3: Introduction to Algebra
1
Find the product. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

B
2
How many terms are contained in a binomial?
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

C
3
Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

E
4
What is the degree of a term?
A) The highest exponent in that term.
B) The number of variable factors in that term.
C) The number of unique variables in that term.
D) The value of the coefficient for that term.
E) None of the above.
A) The highest exponent in that term.
B) The number of variable factors in that term.
C) The number of unique variables in that term.
D) The value of the coefficient for that term.
E) None of the above.
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5
Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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6
Simplify the expression as completely as possible. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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7
Find the degree of the polynomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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8
Multiply. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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9
Find the degree of the polynomial.

A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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10
Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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11
The numerical coefficient of the term 9
is 3.

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12
Simplify the expression as completely as possible. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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13
Multiply the algebraic expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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14
Give the degree of the polynomial. 
A) 3
B) 4
C) 2
D) 8
E) 1

A) 3
B) 4
C) 2
D) 8
E) 1
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15
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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16
The numerical coefficient of the term 10 x is 10.
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17
Choose the correct degree of the following term. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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18
The degree of a polynomial is the same as
A) the number of terms
B) the sum of the degrees in all terms
C) the number of variables
D) the largest degree of any of its terms
E) the least degree of any of its terms
A) the number of terms
B) the sum of the degrees in all terms
C) the number of variables
D) the largest degree of any of its terms
E) the least degree of any of its terms
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19
Classify the polynomial. 
A) trinomial
B) degree 1
C) monomial
D) binomial
E) none of these

A) trinomial
B) degree 1
C) monomial
D) binomial
E) none of these
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20
Identify the coefficient of the term. 
A)
B) 8
C)
D)
E)

A)

B) 8
C)

D)

E)

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21
Match between columns
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22
What is the numerical coefficient of the term -9 b 2 ?
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23
What is the numerical coefficient of the term 10 y ?
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24
What is the degree of the polynomial? Enter your answer as a number. 

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25
Match between columns
Premises:
Responses:
Estimate how much gas an average car can hold (in gallons)
Estimate the cost of a graphing calculator (in dollars)
Estimate the price of a 12-oz can of corn (in dollars)
Estimate the cost of one wooden pencil (in dollars)
Estimate how much gas an average car can hold (in gallons)
Estimate the cost of a graphing calculator (in dollars)
Estimate the price of a 12-oz can of corn (in dollars)
Estimate the cost of one wooden pencil (in dollars)
Estimate how much gas an average car can hold (in gallons)
Estimate the cost of a graphing calculator (in dollars)
Estimate the price of a 12-oz can of corn (in dollars)
Estimate the cost of one wooden pencil (in dollars)
Estimate how much gas an average car can hold (in gallons)
Estimate the cost of a graphing calculator (in dollars)
Estimate the price of a 12-oz can of corn (in dollars)
Estimate the cost of one wooden pencil (in dollars)
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26
A plumber cuts a pipe that is 18 feet long into
equal pieces. Find an expression for the length of each piece.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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27
Match between columns
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Responses:
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28
Identify the degree of this binomial. Enter your answer as a number. 

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29
Simplify the expression as completely as possible. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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30
Give the degree of the polynomial. Enter your answer as a number. 

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31
Match between columns
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32
Convert the word phrase into an expression with a variable, and simplify the expression. The square of two times a number
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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33
Match between columns
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34
Select the 6 th degree binomial.
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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35
Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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36
Determine the degree of the polynomial. Enter your answer as a number. 

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37
Find the degree of the polynomial. Enter your answer as a number.




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38
Simplify the expression as completely as possible. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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39
Match between columns
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Responses:
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40
Match between columns
Premises:
Responses:
Five times the cube of a number
The cube of the sum of a number and 5
The sum of a number cubed and 5
The cube of 5 times a number
Five times the cube of a number
The cube of the sum of a number and 5
The sum of a number cubed and 5
The cube of 5 times a number
Five times the cube of a number
The cube of the sum of a number and 5
The sum of a number cubed and 5
The cube of 5 times a number
Five times the cube of a number
The cube of the sum of a number and 5
The sum of a number cubed and 5
The cube of 5 times a number
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41
Simplify the expression as completely as possible. 

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42
Simplify the expression as completely as possible. 

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43
Simplify the expression as completely as possible. 

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44
Simplify the expression. 

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45
Match between columns
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Responses:
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46
Find the product. 

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47
Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. 

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48
Multiply. 

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49
Simplify the expression as completely as possible. 

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50
Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. 

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51
Give the degree and the numerical coefficient of the following term.
coefficient = __________ degree = __________

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52
Simplify the expression as completely as possible. 

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53
How many terms are contained in a binomial?
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54
Use the definitions of exponent and the addition law of exponents to multiply the algebraic expressions. 

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55
Match between columns
Premises:
Responses:
trinomial
monomial
binomial
trinomial
monomial
binomial
trinomial
monomial
binomial
trinomial
monomial
binomial
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56
If
, then the endpoint is __________ ( an open dot / a closed dot ).

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57
A plumber cuts a pipe that is 16 feet long into
equal pieces. Find an expression for the length of each piece.

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58
Suppose that 5 times a number is added to 10 and the result is negative. What are the possible solutions?
Any number __________ ( greater than / less than / greater than or equal to / less than or equal to) __________.
Any number __________ ( greater than / less than / greater than or equal to / less than or equal to) __________.
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59
Use the definition of exponent and the addition law of exponents to multiply the algebraic expression. 

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60
If
, then the endpoint is __________( an open dot / a closed dot ).

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61
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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62
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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63
Simplify the expression by combining similar terms. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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64
Find the sum. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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65
You have a jar of 160 nuts and 130 bolts, and you dump this into a can that has 145 bolts and 15 nuts. How many nuts and bolts are now in the can?
A) 175 nuts and 275 bolts
B) 290 nuts and 160 bolts
C) 165 nuts and 275 bolts
D) 305 nuts and 145 bolts
E) 320 nuts and 130 bolts
A) 175 nuts and 275 bolts
B) 290 nuts and 160 bolts
C) 165 nuts and 275 bolts
D) 305 nuts and 145 bolts
E) 320 nuts and 130 bolts
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66
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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67
Simplify the expression by combining like terms. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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68
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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69
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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70
Simplify the expression by combining similar terms. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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71
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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72
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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73
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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74
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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75
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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76
Simplify the expression by combining similar terms. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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77
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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78
Simplify the following expression by combining similar terms. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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79
Simplify the expression by combining similar terms. 

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80
Find the indicated sum or difference. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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