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

600

Combine the following terms into simplest form: 2x + 4x + 7x

13x

Evaluate Me

100

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

12

200

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

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

600

Write the following algebraic equation as a verbal expression: 23x + 15x + 5

The product of 23 and a number increased by 15 times a number increased by 5 (there are other correct answers too)

Exponents

100

2 squared

What is 4

200

4 squared

What is 16

300

10 to the 5th power

What is 100000

400

5 cubed

What is 125

500

3 cubed

What is 27

600

100 squared

10000

Step it Up

100

Identify the following equations as true, false or open.

14(2) + (-8) = -5(4) - (-8)

false

200

Is 8 a solution to the equation 

9x + 10 = -9(-7) + (8+11)

Yes, 8 is a solution

300

Identify the following equations as true, false or open.

9(-5 + 3) + x = -36

Open

400

Is (10,-3) a solution for 7 + x + 2y = x + 1

yes

500

Simplify this expression.

x - 6y - 7 + 4xy - 3x + 6 - 5y - (-y) + xy

-2x - 10y + 5xy - 1

600

Turn the following verbal expression into an algebraic expression: Ten decreased by a number

10 - x

Step it Up More!

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 = m/2 + 3

4 = 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

600

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

70

Try this....

100

13+n=44

n=31

200

5p - 2 = 18

4

300

Combine the following terms into simplest form: 5a + 45 + 19a + w - 20

24a + w + 25

400

Solve the equations when the value of 11x - 1y + 6 if x = 5 and y = 7

54

500

Solve the equations when the value of 4x + 2y - 13 - 2 if x = 5 and y = 7

19

600

s/8 + 4 = 13

72