Unit 3: Numeric and Algebraic Expressions

Order of Operations

100

Evaluate the expression: 

 

(6 + 2) x 2²

(6 + 2) x 2²

8 x 2²

8 x 4

32

200

Evaluate the Expression using Order of Operations:

8(2) + 4² 

8(2) + 4²

8(2) + 16

16 + 16

32

300

Evaluate the Expression:

3² + 7 (8-5) - 2

3² + 7 (8-5) - 2

3² + 7 (3) - 2

9 + 7 (3) - 2

9 + 21 - 2

30 - 2

28

400

43 - 2(3 + 17) + 8

43- 2(3 + 17) + 8

43 - 2(20) + 8

43 - 40 + 8

3 + 8

11

500

4³ - 6(3) + 2

4³ - 6(3) + 2

64 - 6(3) + 2

64 - 18 + 2

46 + 2

48

Identifying Properties

100

Identify whether the expression is Commutative, Associative or Distributive:

15 + 7 = 7 + 15

Commutative Property

a + b = b + a

200

Using the Associative Property, rewrite the following expression:

7 x (12 x 2)

(7 x 12) x 2

300

Distributive Property:

Expand: 5(m + 2)

5(m) + 5(2)

400

Identify the property for the expression below:

8.7 + (9.2 + 14) = (8.7 + 9.2) + 14

Associative Property 

a + (b + c) = (a + b) + c

500

Rewrite the expression below using the Distributive Property and solve:

2(5 - 3) 

2(5) - 2(3)

10 - 6 

= 4

Exponents

100

Identify the base:

6³

6 is the base

200

Identify the base and exponent:

4³

4 is the base

3 is the exponent

300

Solve:

5³

5 x 5 x 5 = 125

400

TRUE or FALSE: Solve each expression to prove your answer

3⁴ is equivalent to 4³

FALSE 

3⁴=3x3x3x3 

Answer: 81

4³=4x4x4

Answer: 64

500

Compare the expressions below using <, > or = symbol 

7² and 2⁶

7²= 7x7 = 49

2⁶= 2x2x2x2x2x2= 64

7² < 2⁶

Expressions

100

Evaluate 

4n - 3 when n = 5

4(5) - 3 

20 - 3

17

200

Which expression represents "ten more than the product of 6 and y"?

a) 6y + 10

b) 10y + 6

c) 6(y + 10)

a) 6y + 10

300

Write an Expression:
Mia has n apples. If she buys 4 more apples, write an expression to represent how many apples she has now.

n + 4

400

Evaluate the Expression 

6.908 - g

when g= 0.173

6.908 - 0.173 = 6.735

500

Evaluate:

2s + 5k - 3s

When s = 12

When k = 10

2(12) + 5(10)-3(12)

24 + 50 - 36

74 - 36

38

Vocabulary

100

Identify the variable in the expression:

12 + 3v - 9

The variable is v

200

How many terms are in the expression, List them: 

4z - 6 + 1.78

There are 3 terms, they are:

4z

6

1.78

300

Identify the like terms in the expression below:

4y - 3 + 2y + 8

4y and 2y are like terms

3 and 8 are like terms

400

True or False:

The COEFFICIENT is the number or quantity that multiplies a variable in an algebraic expression

TRUE

500

Identify the coefficient, constant numerical value and variable in the expression below:

8b + 3.2

Coefficient: 8

Constant Numerical Value: 3.2

Variable: b