6th Grade Topic 6 Review

6th Grade Topic 6 Review

Solving Equations/Inequalities

• The goal is to get the variable by itself on one side

• Addition and subtraction cancel each other out

• Multiplication and division cancel each other out

• What you do to one side you MUST do to the other side

Graphing Inequalities

• > or < means you will use an open dot

•  $\ge or\le$  means you will use a closed dot

• Greater than (or equal to): arrow points to the right -->

• Less than (or equal to): arrow points to the left <--

Multiple Choice

Allison has $300 to rent a bounce house for her birthday party It costs $150 to rent for 2 hours and $50 for each additional hour. If the number of extra hours can be represented by

 $300\ge150\ +50h$  what value for h makes this true?

• 3

• 4

• 5

• 6

Multiple Choice

 $10\ +3\ \le\frac{x}{4}-7$  . What is the solution?

•  $y\ge20$  

•  $y\ge80$  
  

•  $y\ge27$  
  

• 
  

   $y\ge30$  

Multiple Choice

What value of x makes this true:

30 - x < 25

• 3

• 4

• 5

• 6

Multiple Choice

The school cafeteria has 100 cookies for sale. If each student has bought 2 cookies so far, which expression represents how many are left?

• 100s -2

• (100-2)s

• 100-2s

• $\frac{100}{2}s$

Multiple Choice

Leslie has 2 times as many candies as Ben. Ann has 3 more than Leslie. Which expression represents how many candies Ann has

• 2 + 3c

• 2c + 3

• 2 + c

• 3(c-2)

Multiple Choice

A video store uses the equation y = 3 + 0.25x to charge for renting a movie for x number of days. How many days was a movie rented for if the total cost was $5?

• 8 days

• 2 days

• 4 days

• 7 days

Multiple Choice

Tom refills his parakeet's water bowl 3 times a day. If he filled a total of 20 oz of water, which equation can be used to find how many oz he filled each time?

• 3(20)=w

• 3w = 20

• 20/3 = w

• 20w = 3

Multiple Choice

What value of x makes the following equation true?

 $\frac{3}{5}x=\frac{1}{2}$  

• 5/6

• 6/5

• 3/10

• 10/3

Multiple Choice

What would the graph for x > 5 look like?

• Open dot on 5, arrow pointing left

• Open dot on 5, arrow pointing right

• Closed dot on 5, arrow pointing left

• Closed dot on 5, arrow pointing right

Multiple Choice

What would the graph for look like?

 $x\le3$  

• Open dot on 3, arrow pointing left

• Open dot on 3, arrow pointing right

• Closed dot on 3, arrow pointing left

• Closed dot on 3, arrow pointing right

Multiple Choice

Ron needs more than 50 signatures to run for class president. Which of the inequalities describes this?

• x>50

• x<50

• $x\ge50$

• $x\le50$

Multiple Choice

Donna has 2 coins in her collection. Every day she adds one more coin, represented by the table. Which equation describes the relationship between days and coins?

• y = 2 + x

• y = 2x

• y = 3 + x

• y = 3x