Algebra I Midterm Review (Unit 1 and 2)

 $3x-10x+5=5x+17$  What is the value of x that makes the equation true?

•  $x=6$  

•  $x=-6$  

•  $x=-\frac{11}{6}$  

•  $x=-1$  

 $2\left(5x-\frac{1}{3}\right)=24x-7\left(2x+1\right)$  Which statement about the type of solution is true?

• No real value of x will make the equation true.

• Only one real value of x will make the equation true.

• An infinite number of x values will make the equation true.

• None of the above

In order to determine the slant height of several pyramids, Marjorie used the surface area formula,  $S=\frac{1}{2}Pl+B$  for the slant height,  $l$  .  Which equation, in terms of  $l$  , represents the correct transformation of the surface area formula?

•  $l=\frac{2S-B}{P}$  

•  $l=\frac{2S+2B}{P}$  

•  $l=2PS-2BP$  

•  $l=\frac{2S-2B}{P}$  

The graphs of $y_1=2\left(0.125x-0.9\right)$ and $y_2=4\left(0.8x+2.5\right)$ are shown on the coordinate grid.  What is the solution to the inequality  $4\left(0.8x+2.5\right)<2\left(0.125x-0.9\right)$ ?

•  $x<-4$  

•  $x<-2.8$  

•  $x>-4$  

•  $x=-4$  

What is the range of the function graphed on the grid?

• 
• 
• 
• 

The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip.This function consists of only the ordered pairs (52, 3), (72, 4), (86, 5), and (105, 6). What is the domain for the situation?

• {52, 105}

• {3, 4, 5, 6}

• {52, 72, 86, 105}

• {3, 4, 5, 6, 52, 72, 86, 105}

A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these planes to ship 2,000-pound containers. The total cargo weight is a function of the number of containers in the plane. What is the greatest value in the domain for this situation?

• 80

• 2,000

• 160,000

• 158,000

The mapping represents all of the points on the graph of function f. What is the domain of f?

• {-4, -1, 0, 2, 7}

• {-5, -4, -1, 0, 1, 2, 4, 7}

• {-5, 0, 1, 2, 4}

• {5}

Which graph represents a functional relationship?

• A

• B

• C

• D

Students at a school will sell hats to raise money. There are some hats left over from last year, and 20 boxes of hats will be ordered this year. When the order arrives, the total number of hats the students will have can be determined using the function f(x) = 48x + 37, where x represents the number of boxes ordered. If the number of hats per box changes so that the situation is modeled by the function h(x) = 24x + 37, then how many fewer hats will the students have available to sell if they still order 20 boxes?

• 480

• 24

• 20

• They will have the same number of hats.