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 a = 7, evaluate the following: 2a

14

200

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

16

300

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

3c - ab

18

400

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

70

500

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

a(b + c)^2 - a

96

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

There are s amount of students in a classroom. The teacher wants to split them into groups of 4. Write an expression to represent how many groups she will make.

s/4 (s divided by 4)

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

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

Random

100

What is Thor's FAVORITE color?

Red. His favorite toy is a red mouse.

200

When will Ms. M graduate with her M.Ed degree?

On Saturday, the 15th (5 days)!

300

Finish the lyrics, "Do you want to build a snowman?
Or ride our bike around __________ "

... the halls ! 

400

What color was Ms. Matson's shirt yesterday?

Black

500

Where is Ms. Matson getting married this summer?

Ireland