Module 5 Test Review

Which of the following is linear?

• 8x-1

• 9x^2

• 1/x

• 7xy

Answer explanation

When a function is linear:

It only has ONE variable.

The variable can NOT be in the denominator or have an exponent.

What is the GCF of 16m and 40mn?

• 4m

• 8m

• 8mn

• 4mn

Answer explanation

When you're looking for the Greatest Common Factor, find the variable and the BIGGEST number they have in common!

16m 40mn

1 x 16 1 x 40

2 x 8 2 x 20

4 x 4 4 x 10

5 x 8

They both have an "m", and the biggest common number is 8.

So, the GCF is 8m

What is the GCF of 20x and 25x?

• 2

• 2x

• 5

• 5x

Answer explanation

When you are looking for the Greatest Common Factor,

look for a variable and the biggest number they have in common!

The GCF of

1/3 x + 1/3

is

Answer explanation

1/3 x + 1/3

Both the Variable and the Constant has "1/3",

so the GCF is 1/3!

**Even when the numbers are fractions, the same rules apply!

Look at 5x + 5

Both have a "5",

so, the GCF is 5!

Tags

CCSS.7.EE.A.1

How would we rewrite -(-6x-1)

• -6x+1

• 6x-1

• -6x-1

• 6x+1

Answer explanation

Every time you see a negative/subtraction sign in front of a parenthesis,

you change all the signs to the OPPOSITE:

-(-6x-1) ------> -1(-6x-1)

-1 x -6 = 6x

-1 x -1 = 1

So, we get 6x + 1

Tags

CCSS.7.EE.A.1

Simplify:

(-5x - 9) - (-6x - 1)

• -x - 8

• -11x - 10

• x - 8

• x - 10

Answer explanation

(-5x - 9) - (-6x - 1)

1. 1. Get rid of the subtraction

   1. -(-6x - 1) -----Find the Opposite!

   2. + 6x + 1

   3. 2. Rewrite the expression // Get rid of parenthesis:

   4. -5x - 9 + 6x + 1

   5. 3. Combine like terms:

   6. 6x - 5x= -9 + 1=

   7. 1x or x -8

   8. 4. Write the new expression:

   9. x - 8

Tags

CCSS.7.EE.A.1

Factor:

10xy - 15y

Answer explanation

Factor:

10xy - 15y

1 x 10 1 x 15

2 x 5 3 x 5

Both have a 5, Both have a "y"

5y ( 2x - 3 )

Tags

CCSS.7.EE.A.1

Combine Like Terms:

-y + 9z - 16y - 25z + 4

• -17y + 34z + 4

• 17y - 16z +4

• -17y - 16z + 4

• -15y + 16z +4

Tags

CCSS.7.EE.A.1

In order to simplify

3 ( 2x - 1 ) - 4x

What is your first step?

• Distribute the 3 to

  (2x-1)-4x

• Distribute the 3 to

  (2x-1)

• Add 3 - 1

  and

  2x - 4x

• Distribute the 3 to

  2x

Tags

CCSS.6.EE.A.3

Simplify:

( -7x + 3) + (11x - 4)

• 4x - 1

• -18x - 1

• 18x + 7

• -4x + 1

Tags

CCSS.7.EE.A.1