6th Grade Algebra

Just "Write" Expressions and Equations

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: The product of 5 and a number x

5x

300

Write a verbal expression for the following algebraic expression: 3 + g

Answers vary. Examples are three plus a number g or the sum of three and a number g

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

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

Distributive Property

100

2(x +5)

2x +10

200

4 (2x + 7)

8x+28

300

3 (4x + 5m)

12x+15m

400

19 (2x +4)

38x + 76

500

x(5 + 9)

5x + 9x or 14x

Factoring

100

3x +15

3(x+5)

200

4x + 6

2(2x +3)

300

16x + 20

4(4x+5)

2(8x +10)

400

12x + 15y

3(4x + 5y)

500

12x + 84y

12(x + 7y)

6(2x + 14y)

2 (2x + 42y)

4(3x + 21y)

Solve

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  = 19 + 5

t = 6

400

Algebraically solve, and show your work. m/3=36

108 = m

500

6t +8 = 44

t=6