Use Variables to Represent Numbers and Write Expressions: CCSS.Math.Content.6.EE.B.6

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6th Grade Math › Use Variables to Represent Numbers and Write Expressions: CCSS.Math.Content.6.EE.B.6

Questions 1 - 10
1

James bought candy using a 10 dollar bill and received dollars in change. Which of the following describes how much James paid for the candy?

Explanation

The amount of change given after a purchase is the amount the customer pays minus the cost of the item. So the cost of the item is the amount the customer pays minus the amount of change received.

2

Select the equation or inequality that matches the number sentence below.

is equal to

Explanation

Our number sentence has the phrase "equal to" which means we have an equation.

" is equal to " can be written as because we replace the words "equal to" with the equal symbol.

3

Call the three angles of a triangle .

The measure of is forty degrees less than that of ; the measure of is ten degrees less than twice that of . If is the measure of , then which of the following equations would we need to solve in order to calculate the measures of the angles?

Explanation

The measure of is forty degrees less than the measure of , so its measure is 40 subtracted from that of - that is, .

The measure of is ten degrees less than twice that of . Twice the measure of is , and ten degrees less than this is 10 subtracted from - that is, .

The sum of the measures of the three angles of a triangle is 180, so, to solve for - thereby allowing us to calulate all three angle measures - we add these three expressions and set the sum equal to 180. This yields the equation:

4

Call the three angles of a triangle .

The measure of is twenty degrees greater than that of ; the measure of is thirty degrees less than twice that of . If is the measure of , then which of the following equations would we need to solve in order to calculate the measures of the angles?

Explanation

The measure of is twenty degrees greater than the measure of , so its measure is 20 added to that of - that is, .

The measure of is thirty degrees less than twice that of . Twice the measure of is , and thirty degrees less than this is 30 subtracted from - that is, .

The sum of the measures of the three angles of a triangle is 180, so, to solve for - thereby allowing us to calulate all three angle measures - we add these three expressions and set the sum equal to 180. This yields the equation:

5

Select the equation or inequality that matches the number sentence below.

is greater than or equal to

Explanation

Our number sentence has the phrase "greater than or equal to" which means we have an inequality.

" is greater than or equal to " can be written as because we replace the words "greater than or equal to" with the greater than or equal to symbol.

6

Select the equation or inequality that matches the number sentence below.

is less than or equal to

Explanation

Our number sentence has the phrase "less than or equal to" which means we have an inequality.

" is less than or equal to " can be written as because we replace the words "less than or equal to" with the less than or equal to symbol.

7

Select the equation or inequality that matches the number sentence below.

is equal to plus

Explanation

Our number sentence has the phrase "equal" which means we have an equation.

" is equal to" can be written as because we replace the words "equal to" with the equal symbol.

Next, we have " plus ". This can be written as because plus means addition, so we replace the word "plus" with the addition symbol.

When we put these pieces together we have

8

Select the equation or inequality that matches the number sentence below.

is equal to

Explanation

Our number sentence has the phrase "equal to" which means we have an equation.

" is equal to " can be written as because we replace the words "equal to" with the equal symbol.

9

Select the equation or inequality that matches the number sentence below.

is less than or equal to

Explanation

Our number sentence has the phrase "less than or equal to" which means we have an inequality.

" is less than or equal to " can be written as because we replace the words "less than or equal to" with the less than or equal to symbol.

10

Select the equation or inequality that matches the number sentence below.

is less than or equal to

Explanation

Our number sentence has the phrase "less than or equal to" which means we have an inequality.

" is less than or equal to " can be written as because we replace the words "less than or equal to" with the less than or equal to symbol.

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