G6 Expressions Jeopardy

Translating Phrases

100

What is the algebraic expression for the phrase:

a number increased by 8

x+8 (you may choose any variable you want)

200

What is the algebraic expression for the phrase:

8 decreased by a number

8-x

300

What is the algebraic expression for the phrase:

a number divided by 8

n/8

400

What is the algebraic expression for the phrase:

a number minus 8

x-8

500

What is the algebraic expression for the phrase:

8 less than twice a number

2x-8

Equivalent Expressions

100

Are 3x + 1 and 2x + 2 equivalent expressions? Explain your thinking.

They are not equivalent expressions because they will not always give the same result for every value of the variable. For example if x=0, then 3x+1=3(0)+1=1 and 2x+2=2(0)+2=2. Since 1 and 2 are not the same result they are not equivalent.

200

Are x and 1x equivalent expressions?

Yes they are equivalent expressions because they give the same result for every value of the variable.

300

Are x + x + x and 3x equivalent expressions?

They are equivalent expressions because they give the same result for every value of the variable.

400

Are 4x and 4^x equivalent expressions?

They are not equivalent expressions because they will not always give the same result for every value of the variable. If you substitute a value in for x you will get a different result for each expression. For example, if x=2; then 4x=4•2=8 and 4^x=4²=16. 

500

Are x³ and (x)(x)(x) equivalent expressions?

They are equivalent expressions because they give the same result for every value of the variable.

Order of Operations

100

Solve if x= 6

3(2x + 4)

48

200

Solve if x=10

4(5x - 1)

196

300

Solve if x=12

4(2x-6)

72

400

Use order of operations to simplify:

7(2+3)-5/5

34

500

Use order of operations to simplify:

8(3)-(5-4)+3²

32

Simplifying and Solving

100

Rewrite the equation

7 ( 4 - x) = 35

28 - 7x = 35

200

Solve for x, show work.

1/2x + 12 = 24

x = 24

300

Solve for x, show work.

-10 = 2 (3 - x)

x = 8

400

Solve 2 ways, showing all steps

5 ( x + 2) = 25

See student work, x=3

500

Simplify the expression

22 -6x² + 5x² - 7x³ + 12

-7x³ - x² + 34

True or False

100

The first step to solving this equation is to +10 to both sides of the equal sign.

10 - 3x = 16

False, the first step is to subtract 10 from both sides.

200

When solving this equation, you have to multiply first.

3 (5 + x) = 27

False, you can choose to distribute the 3 first and get 15 + x = 27

300

True or False: The difference between an algebraic expression and and algebraic equation is an expression has an equal sign.

False, an equation has an equal sign.

400

Is this a true statement?

4(x - 3) = 4x - 3

False, the right side of the equal sign should say 4x- 12 in order to be equal to the left side.

500

This an example of the Identity Property of multiplication?

1 * 0 = 1

False, 1 x 0 is 0, an example of the Zero Product Property.