MI Honors LT 1 Practice

A shirt that costs C dollars with 7% sales tax can be described using the expression  

 $C+0.07C$ 

 Which expression(s) below is/are the same as this expression? SELECT ALL THAT APPLY

•  $1.7C$  

•  $1.07C$  

•  $0.07C+C$  

•  $C\left(1+1.07\right)$  

Tim and Ken were just hired to create a new Math Book. Tim was hired first, and is being paid $22/hour plus a signing bonus of $150. Ken is in the process of negotiating his contract. Since it is a Math book they are creating, the company is clever, and told Ken he is only allowed to ask for an increase in his coefficient amount, and a decrease in the constant amount, in comparison to Tim. Which of the following represents something Ken is allowed to do?

• Make less than $22/hour and have a signing bonus greater than $150

• Make less than $22/hour and have a signing bonus less than $150

• Make more than $22/hour and have a signing bonus greater than $150

• Make more than $22/hour and have a signing bonus less than $150

The product of 5, a, and b is represented by the expression . If the value of a is negative, what must be said about the value of b in order for the product to remain negative?

 $5ab$  

• b must be positive

• b must be negative

• b must be 0

• The value of b does not matter

Identify any factors in this expression once simplified:

 $-0.5x+3\left(x+5\right)-1$  

• -0.5 and x

• 2.5 and x

• 3 and (x+5)

• 5 and -1

VUDU is a movie streaming app for individuals to buy movies and create a collection. The service has a monthly fee of $6.50. Individuals can then buy two different types of movies. They can buy old movies for $2 (movies more than 1-year-old), and new movies for $7 (less than one-year-old). Create an expression to model the charges for one month. Use the variable x for old movies and y for new movies.

*do not type any spaces in your answer*

Which of the following is an expression with exactly 4 terms, three unique variables, and a fractional coefficient.

When the following expression is simplified, the final result is

 $7x-2.$   What do a and b represent to achieve this?

 $2\left(ax+5\right)+3\left(x-b\right)$  

*type your answer in the form:
a=___, b=___

Which expressions are equivalent to: 3x + 4?

a. 2x + 2 -2x + 3x

b. 6 + 2(x - 1) + x

c. 3(x + 4 - 2) - 2

d. - 2x + 1 - x - 2 + 5

• b and d

• a, c, d

• b and c

• None of the above

What are the like terms that you can combine to simplify in the following expression?

-3x + x - 5 - 2 + 2x

• -3x + x + 2x

  and

  - 5 - 2

• -3x + x + 2x

  and

  5 - 2

• 3x - 5 -2

  and

  x + 2x

• 3x + x + 2x

  and

  5 + 2

In the following expression, the number 7 is an example of _____________?
5x³ - 7x + 11

• term
• constant
• coefficient
• variable