Proportions and Proportional Relationships

Question 1

Is the relationship in the table proportional? Why or Why Not?

Answer 1

Yes, the relationship is proportional. There are always 15 kids to every 1 adult.

Question 2

Is the relationship in the table proportional? Why or Why Not?

Answer 2

No, the relationship in the table is not proportional. The number of tickets is not always the same cost. The tickets get cheaper as you purchase more.

Question 3

Is the relationship in the table proportional? Why or Why Not?

Answer 3

Yes, the relationship in the table is proportional. The value of “y” is always one more than the value of “x”.

Question 4

Is the relationship in the table proportional? Why or Why Not?

Answer 4

No, the relationship in the table is not proportional. The way the “x” value changes to “y” does not stay the same.

Question 5

Write and solve an equation to identify the missing value.

Answer 5

5x = 37.5

x = 7.5

Question 6

Write and solve an equation to identify the missing value.

Answer 6

13.5x = 108

x = 8

Question 7

Write and solve an equation to identify the missing value.

Answer 7

24x = 48

x = 2

Question 8

Write and solve an equation to identify the missing value.

Answer 8

20x = 140

x = 7

Question 9

Write and solve an equation to identify the missing value.

Answer 9

25x = 36

x = 1.44

Question 10

Write and solve an equation to identify the missing value.

Answer 10

6x = 24

x = 4

Question 11

What are the two steps you take in order to solve for a missing value within a proportion.

Answer 11

1. Cross Multiply
2. Divide

Question 12

Solve.

Answer 12

x = 4

Question 13

Solve.

Answer 13

x = 10

Question 14

Solve.

Answer 14

x = 13

Question 15

Is the relationship proportional? Explain why or why not?

Answer 15

Yes, the relationship is proportional. Each pound of strawberries is $1.50.

Question 16

Is the relationship proportional? Explain why or why not?

Answer 16

No, the number of students does not change with time.

Question 17

Is the relationship proportional? Explain why or why not.

Answer 17

No, the relationship is not proportional. Charlie’s height does not change at a constant rate.

Question 18

Is the relationship proportional? Explain why or why not?

Answer 18

No, the relationship is not proportional. Her time per changes changes from the first 5 miles to the next 3 miles.

Question 19

Solve.

Answer 19

32 miles

Question 20

Solve.

Answer 20

$540.00

Question 21

Solve.

Answer 21

$28.40

Question 22

How do you subtract integers?

Answer 22

KCC (Keep the first number, change the subtraction to a plus, change the second number to it’s opposite) & follow addition rules.

Question 23

How do you add integers with the same sign?

Answer 23

Add the two numbers together and keep the sign.

Question 24

How do you add integers with different signs?

Answer 24

Subtract the two numbers and steal the sign from the number with the larger absolute value.

Question 25

Define: variable

Answer 25

A variable is a letter that represents an unknown number.

Question 26

Define: coefficient

Answer 26

A coefficient is a value that is multiplied by a variable. (It is the number attached to the variable.)

Question 27

Define: absolute value

Answer 27

The absolute value of a number is the number of jumps (or places) the number is from zero on a number line.

Question 28

Define: constant

Answer 28

A constant is a number that does not change. It is by itself (does not contain a variable) within an expression and/or equation.

Question 29

Define: proportion

Answer 29

A proportion is two ratios which are set equal to each other. Proportions are written in fraction form.

Question 30

Define: ratio

Answer 30

A ratio is the comparison of two quantities.