6th Grade Algebra

Translating Between Words and Expressions

100

Write the algebraic expression for the following verbal expression: The sum of three and w

3 + w

200

Write the algebraic expression for the following verbal expression in TWO forms. 

The product of 5 and a number x

5x, 5(x), 5*x

300

Write TWO verbal expressions for the following algebraic expression: g - 3

Answers vary. Examples are

3 less than g

g minus 3

3 fewer than g

400

Write as a algebraic expression: "3 times the quantity of some number plus 5"

3(x + 5)

500

Write the algebraic equation for the following verbal equation: Two more than the quotient of a number m and five is equal to 26

What is m/5 + 2 = 26

Evaluating Expressions

100

If r = 6 and s = 4, evaluate the following: 2r + s

16

200

If a = 3, b = 5 and c = 11, evaluate the following: 

3c - ab

18

300

If y = 4, and z = 10, evaluate the following: z(3 + y)

70

400

If a = 2, b= 4 and c = 3, evaluate the following: 

a(b + c)^2 - a

96

500

What is the value of 

9x-1 divided by 3 plus 4(3 +2x) when x=3

44 2/3

Writing Expressions and Equations

100

Sam has 3 more toys than his brother Tyler. If Tyler has x amount of toys, write an expression for how many toys Sam has.

x + 3

200

There are twice as many girls as boys in the class. If there are b amount of boys, write an expression for how many girls there are.

2b

300

A CD costs 6k dollars and a DVD costs 1/3 of the CD.  What is the expression that shows the cost of the DVD in dollars?

6k divided by 3

SIMPLIFIED TO

2k

400

You go to a Bulls game with your family. The tickets cost $45 each. While you were there, your parents bought you a T-Shirt for $20. How much money did they spend all together if m number of family members went to the game?

45m + 20

500

You charge $15 for your babysitting service, plus $10 for each hour that you babysit. Write an algebraic expression for this to describe the total amount of money you earn.

How much money would you earn if you worked 3 hours?

15 + 10h, $45

Mixed Bag

100

-6 + -8 =

-14

200

Factor the expression

20p + 34 - 6p - 13

7(2p+3)

300

A box contains 30 red and blue marbles.  There are at least 12 red marbles in the box.  Write an inequality that can be used to represent x, the number of blue marbles in the box.

x less than or equal to 18

400

8 pencils cost p dollars. A pen costs 85 cents  more than a pencil. Write an algebraic expression that represents the cost of the pen in dollars.

p/8 + $0.85

500

Bob built x birdhouses.  His friend Ed built 3 more than Bob.  

Write a linear equation that relates x and y.

Record five possible solutions in a table and graph.

x+ 3 = y

Solving Equations

100

Solve:  3x = 21

x = 7

200

Algebraically solve, and show your work. g + 7 = 12

g = 5

300

Solve:  h - 33 = 25

h = 58

400

y + y + y + y = 12

y = 3

500

Solve:  3x + 2 = 26

x = 8