Lesson 17 Practice Quiz A

The hanger diagram represents an equation.

What is the value of x?

Consider the equations below:

a + 9 = 23

3b + 9 = 23

6c + 9 = 23

Determine if the statement below about the equations is true:

The value of b is equivalent to 3a

• True
• False

Consider the equations below:

a + 9 = 23

3b + 9 = 23

6c + 9 = 23

Determine if the statement below about the equations is true:

The value of c is less than a

• True
• False

Consider the equations below:

a + 9 = 23

3b + 9 = 23

6c + 9 = 23

Determine if the statement below about the equations is true:

The value of b is equivalent to 2c

• True
• False

Consider the equations below:

a + 9 = 23

3b + 9 = 23

6c + 9 = 23

Determine if the statement below about the equations is true:

The value of b 6c is greater than 3b

• True
• False

The student counciil hires a DJ to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a $125 setup fee. The total cost is $405.

What is DJ Dan's hourly rate?

• Yes; applied the distributive property

• Yes; multiplied both sides to balance the equation

• No; should have multiplied 50 by one-third

• No; should have multiplied 15 and -30 by 3

• 50 - 10 = 40

• 60 - 10 = 50

• 5(10) = 50

• 6(10) = 60

• difference

• product

• quotient

• sum

Which describes a method to find the value of p in 4p - 28 = 40

• Rewrite the equation as p - 7 = 4 to find p = 11

• Rewrite the equation as p - 7 = 10 to find p = 17

• Rewrite the equation as p - 28 = 10 to find p = 38

• Rewrite the equation as p - 28 - 40 to find p = 68