6th Grade End of Algebra Unit

Just "Write" Expressions

100

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

3 ÷ w

200

Write the algebraic expression for the following verbal expression: 3 less than the product of 5 and a number x 

5x -3

300

Write a verbal expression for the following algebraic expression: 2x + 6

Answers vary. Examples are twice a number increased by 6

400

Write a verbal expression for the following algebraic expression: 5k - 2

Answers vary. Examples include the product of 5 and a number k decreased by two or two less than five times a number k.

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

Evaluate Me

100

If a = 7, evaluate the following: 2a - 2

12

200

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

3

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 = 3, b= 4 and c = 5, evaluate the following: a(b + c) - a

24

Writing Equations

100

What is the dependent and independent variable for the following equation: 

t= 5x +7

Dependent = t

Independent = x

200

A movie theater charges a $5 fixed fee plus $7 per ticket. Maria paid $40 total for tickets.

7t + 5 = 40

300

A car travels at a constant speed of 60 miles per hour. After some time, it has traveled 180 miles.

60h = 180

400

A gym charges a $25 sign-up fee plus $20 per month. What is the total cost, c, that you would spend for m months.

20m+ 25 = c

500

Write an equation for the following: Joey earns $12 per hour. He earned 48 dollars in total.

12h=48

Writing Inequalities

100

Write an inequality for the following phrase:

I have more than $5 in my wallet.

x > 5

200

Write an inequality for the following phrase:

Shawn read for at least 30 minutes.

x > 30

300

Susie wants to study for no more than 45 minutes.

x < 45

400

Carter annoys Miss Filippone more than 125 times a day.

x > 125

500

Write a sentence that matches the inequality x < 10

Answers may vary.

Solving for the Variable

100

Algebraically solve, and show your work. 3x = 21

x = 7

200

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

g = 5

300

Algebraically solve, and show your work. 4t - 5 = 19

t = 6

400

Algebraically solve, and show your work. 5 = 2m + 4

6 = m

500

You charge $5 for your babysitting service, plus four dollars for each hour that you babysit. Write an algebraic expression for this, and then evaluate your expression to find out how much you would make if you babysit for six hours.

5 + 4r, $29