6th grade Topic 5 Review

6th grade Topic 5 Review

Distributive Property

• Take the number on the outside and multiply it by each term on the inside

Multiple Choice

Evaluate the expression:

7(2+6)

• $7+2+7+6=27$

• $7\left(2\right)+7\left(6\right)=56$

• $7\cdot2+6=20$

• 2 + 42 = 44

Multiple Choice

Evaluate the expression:

5(3x-7)

• 15x - 7

• 5 x 10 = 50

• 15x - 35

• 15 + 35 = 50

Multiple Choice

Which of the following is equivalent to 9(2+3)

• 9(2)+9(3)

• 9(2) x 9(3)

• 9+5

• 9 x 6

Factoring

• Factoring is the opposite of distributing

• First find the GCF, rewrite the terms as products with the GCF, then factor out the GCF.

• The remaining factors should remain in the parentheses

Multiple Choice

Rewrite the expression by factoring:

54 + 63

• 9(54+63)

• 6(9+7)

• 9(6+7)

• 9(6 x 7)

Multiple Choice

Rewrite the expression by factoring:

20+25

• 4(5+4)

• 5(4 + 5)

• 5(4 x 5)

• 2(10+12)

Multiple Choice

Which of the following is equivalent to:

16 + 24

• 8(2+3)

• 16(1+2)

• 8+(2+3)

• 4(4+5)

Multiple Choice

Which of the following is equivalent to 3x + 6y

• 9y

• 18x

• 3(x+2y)

• 3x(1+6y)

Exponents

• The large number is the base. It is the number that will be multiplied

• The smaller number is the exponent. It tells you how many times you are going to multiply the base by itself.

Multiple Choice

Which of these is equivalent to  $2^4$  

• 16

• 8

• 2

• 24

Multiple Choice

 $8^5$  

Which of these is equivalent 

• 8 x 5

• 8+8+8+8+8

• 40

• 8 x 8 x 8 x 8 x 8

Multiple Choice

Which of the following are equivalent pairs?

• $2^{2\ \ },\ 1^2$

• $2^3\ ,\ 3^2$

• $2^4\ ,\ 4^2$

• $5^2,\ 6^5$

Multiple Choice

 $x\cdot x^2$   is equivalent to

• 
  

   $x\cdot x$  
  

•  $3\cdot x$  

• x + 2x

•  $x^3$  

Multiple Choice

 $7x\ +8y^2+9$  

What are the coefficients in

• 7,8,9

• 7x,8y

• 7,8

• 7,9

Multiple Choice

In 2x +3y + 4, 4 is a

• constant

• coefficient

• like term

Like Terms

• Have the same variables (or no variables if they're constants)

• Combining like terms means to add them together.

• Think: You want to put all the family members with the same last name together.

Multiple Choice

Which of the following is equivalent to x + x + x

• 3 + x

• x + 3

• x³

• 3x

Multiple Choice

Which of the following is equivalent to y + y + 3

• 3y

• 2y + 3

• 5y +3

• 5y

Multiple Choice

Which of the following is equivalent to

20 + 4n + 5 - 2n

• 27n

• 25 + 2n

• 25 + 6n

• 24 + 3n

Multiple Choice

Which of the following is equivalent to 2(x-3) + 4x

• 6x-6

• 2x-6

• 2x + 4x -3

• 8x-3

Multiple Choice

 $2x^2+3x$  

What is the value of the expression is x = 3?

• 21

• 15

• 27

• 9

Multiple Choice

There are 6 red candies and b blue candies in a jar. The total number of candies can be represented by

• 6b

• 6/b

• 6-b

• 6+b

Multiple Choice

The sum of y and 4 is divided by 7. This can be represented by

• 
  

  $y+\ \frac{4}{7}$
  

• $\frac{\left(y-4\right)}{7}$

• $\frac{\left(y+4\right)}{7}$

• $4\left(y+7\right)$