FUN 6th Grade Math

Exponents

100

Write the expression that means  "4 squared."

Then simplify your expression

 4²

^{=4 x 4}

⁼¹⁶

200

Write the expression that means "5 cubed."

Then simplify your expression.

5³

^{=5 x 5 x 5}

^{= 125}

300

Simplify 3⁴

= 3 x 3 x 3 x 3

= 81

400

Simplify 2⁵

2 x 2 x 2 x 2 x 2

= 32

500

Write 2 different expressions (base^exponent)

^{that have a value of 64.}

Possible answers:

64¹      8²       4³     2⁶

Vocabulary

100

How many terms are in the following expression? 2n + 5 + 3m

3 terms

200

Which number is called a coefficient in the following expression?     2n + 5

The coefficient is 2.

300

Fill in the blanks.

1) Sum means ______________.

2) Product means ____________.

1) Sum means add.

2) Product means multiply.

400

A constant term has no ______________.

Variables

500

You can only use cross cancelling to simplify when _________________ fractions.

MULTIPLYING

Writing Expressions

100

An algebraic expression that means the sum of a number and 8

n + 8

200

An algebraic expression that means the product of x and 4

4x

300

An algebraic expression that means 5 taken away from three times a number

3x - 5

400

An algebraic expression that means 6 less than n

n - 6

500

An algebraic expression that means 5 times the sum of 4 and r

5 (r + 4)

Equivalent Expressions

100

An equivalent expression for n + n + n

3n

200

An equivalent expression for n x n x n

n³

300

Use the distributive property to write an equivalent expression for 3 (n + 5)

3n + (3 x 5) OR

3n + 15

400

Use the distributive property to write an equivalent expression for:       5 (4n + 7)

(5 x 4n) + 5 x 7 OR    5 x 4n + 35   OR 20n + 35

500

Use the GCF and the reverse of the distributive property (factors) to write an equivalent expression for:       20r + 18

2 (10r + 9)  

Same or Different?

100

Evaluate each expression for b = 3.  Decide whether the expressions are the SAME or DIFFERENT.           b + b + b + b                      4b

   b + b + b + b                 4b

= 3 + 3 + 3 + 3                 = 4 x 3

= 12                                 = 12

                           SAME

200

Evaluate each expression for b = 4. Decide whether the expressions are the same or different.         2b                 b²

                  2b                     b²

                       ^{= 2(4)                        =} 4²

                       ^{= 8                             = 16}

                               ^DIFFERENT

300

Same or different? Evaluate each expression for b = 5.                                                            2b + 16           2(b+8)

2b + 16                              2(b+8)

= 2(5) + 16                        = 2(5 + 8)

= 26                                   =26               SAME  

400

Same or different? Evaluate each expression for b = 6.

3b + 4 + 2b + 1                           5(b + 1)

3b + 4 + 2b + 1                             5(b + 1)

=5b + 5

=5(6) + 5                                   = 5(6 + 1)

= 30 + 5 = 35                             = 30 + 5 = 35                          SAME

500

Same or different?   Evaluate each expression for b = 8.                                                        3b²                    (3b²)

       DIFFERENT

3b²                                      (3b²)

=3 x 8²                               = (3 x 8)²

=192                           =576