Mathematics 55 Sec ON1 Week 6 Quiz

Mathematics 55 Sec ON1 Week 6 Quiz | Mathematics 55 Sec ON1

Question 1

Convert the repeating decimal 0.36¯¯¯¯¯0.36¯    to a fraction in lowest terms. Select the correct answer.  

·         2/5  

·         9/25  

·         4/11  

·         2/9 

·         none of the above

Question 2

Solve the equation 8(x−2)=3(x+5)−2(2x+2)8(x−2)=3(x+5)−2(2x+2)  . The answer is x=_____. (Fill in the blank.)

Question 3

Solve the compound inequality: −3(4x−12)>−12−3(4x−12)>−12   and −2x<−4−2x<−4  . Select the right answer that expresses the solution as a graph on a number line.

Question 4

Solve the compound inequality: −19<5x−4≤26−19<5x−4≤26   . Express your answer in interval notation. Select the correct answer.  

·         (−∞,−3)∪[6,∞)(−∞,−3)∪[6,∞)  

·         (−∞,−3]∪(6,∞)(−∞,−3]∪(6,∞)  

·         (−3,6](−3,6] 

·         [−3,6)[−3,6) 

·         none of the above

Question 5

State the domain of  f(x)=x−7x+6f(x)=x−7x+6  in set-builder notation. Select the correct answer.  

·         \(\{x|x\in R,x\ne7,-6\rbrace\\)  

·         \(\{x|x\in R,x\ne-7,6\rbrace\\)  

·         \(\{x|x\in R,x\ne7\rbrace\\)  

·         \(\{x|x\in R,x\ne-6\rbrace\\) 

·         \(\{x|x\in R,x\ne-7\rbrace\\) 

·         \(\{x|x\in R,x\ne6\rbrace\\)

Question 6

Select all the transformations of the function f(x)=|x+5|−2f(x)=|x+5|−2 . There may be more than one answer.  

·         Reflection over x-axis  

·         Shifts left 5 units  

·         Shifts right 5 units  

·         Shifts up 5 units  

·         Shift down 5 units  

·         Shift left 2 units  

·         Shift right 2 units  

·         Shift up 2 units  

·         Shift down 2 units  

·         Has a horizontal compression  

·         Has a vertical compression

Question 7

Given the following graph, select the correct domain.  

·         [1,5] 

·         [3,6] 

·         [3,infinity) 

·         [1,infinity)  

·         [3,5]  

·         [1,6]  

·         none of the above

Question 8

Given the following graph, select the correct range.  

·         [1,5] 

·         [3,6]  

·         [3,infinity)  

·         [1,infinity) 

·         [3,5]  

·         [1,6]

·         none of the above

Question 9

Given the following graph of an absolute function, select the correct function it represents. 

·         f(x)=|x-2|+1  

·         f(x)=-|x-2|+1  

·         f(x)=(-1/2)|x-2|+1  

·         f(x)=-2|x-2|+1  

·         f(x)=2|x-2|+1  

·         none of the above

 Question 10

Solve the system of linear equations. Fill in the blanks for each x and y value.

{3x+5y=12x−7y=−20{3x+5y=12x−7y=−20

x= 

y= 

·         -3

·         2

Question 11

Solve the system of linear equations. Fill in the blanks for each x and y value.

⎧⎩⎨⎪⎪x−y+z=33x−2y+z=3x+y−z=−1{x−y+z=33x−2y+z=3x+y−z=−1

x= 

y= 

z= 

·         1

·         2

·         4

Question 12

Solve the absolute value equation. Fill in the blank for the answer(s). (If there is more than one answer, separate by a comma.)

|2x+5|−3=8|2x+5|−3=8

x = _____

Question 13

Solve the absolute value inequality. Select the correct answer from the drop down menus. For example, if the answer is "x<5 or x>7" then you would select "x<5" from the first drop down menu, the word "or" from the second drop down menu and "x>7" from the third drop down menu. If the answer only has one inequality for an answer such as "x<5" only, then select "x<5" from the first drop down menu and "none of the above" and "none of the above" from the other drop down menus. Remember that your inequalities should always be written from least to greatest.

·         |x−2|−4<16|x−2|−4<16

·         x>-18 and x<22

·         x>-18

·         x<22

Question 14

Solve the absolute value inequality. Select the correct answer from the drop down menus. For example, if the answer is "x<5 or x>7" then you would select "x<5" from the first drop down menu, the word "or" from the second drop down menu and "x>7" from the third drop down menu. If the answer only has one inequality for an answer such as "x<5" only, then select "x<5" from the first drop down menu and "none of the above" and "none of the above" from the other drop down menus. Remember that your inequalities should always be written from least to greatest.

|3x−1|−4<16|3x−1|−4<16

·         x > -19/3 and x < 7

·         x > -19/3

·         and

·         x < 7

Question 15

There is an elevator at a fancy hotel chain that has a maximum capacity of 1590 pounds. If the freight elevator operator weighs 120 pounds and each load of cleaning supplies weighs 30 pounds, how many loads of cleaning supplies can be safely taken on the freight elevator, to the top floor, in one trip?

First: Fill in the blank: Define what your variable represents: x=   .

Second: Fill in the blank: The operator can take at most   loads of cleaning supplies.

·         x=120+1590

·         45

Question 16

On Monday, Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday, he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  How much was each cup of coffee and each doughnut?

If x represents the number of cups of coffee and y represents the number of doughnuts, type in the two equations.

Equation 1: 

Equation 2: 

Solve the problem and type in your answers:

Cost of each cup of coffee: $ 

Cost of each doughnut: $ 

·         10x+5y=16.50

·         5x+10y=14.25

·         .80

·         1.25