ACC 7 Final Review

Expressions/Equations

100

Write the expression below in simplest form

11x-4

200

Which of the following is the value of the expression ?

    (1) 18    (3) 40

    (2) 38    (4) 56

(2) 38

300

Solve the equation shown below

x=4.2

400

Which of the following values is the solution to the equation:  ?

    (1)  

    (2)  

    (3)

    (4)

(1)-1/5

500

Mr. Carson is grading exams. He already had 12 exams graded when he started and grades the remaining exams at a rate of 3 exams per hour. 

Write a linear function that represents the number of exams Mr. Carson has graded, g, as a function of the number of hours he has been grading, h. 

g=3h+12

Geometry

100

Which of the following equations relates the lengths of the sides of a right triangle if a and b represent the lengths of the two shortest sides and c represents the length of its hypotenuse?

    (1)     (2)

    (3)         (4)

 (2)

200

A 19-foot ladder reaches a point 15 feet high on a vertical wall. Approximately how far from the wall should the base of the ladder be placed?

    (1) 11.66 ft

    (2) 11.94 ft

    (3) 12.31 ft

    (4) 12.72 ft

(1) 11.66 feet

300

Angles  and  are supplementary. If  and , then which of the following is the correct value of x?

    (1)

    (2)

    (3)

    (4)

(2) 13 3/5

400

In the case below, find the missing side length of the right triangle. If the answer is not a         whole number, round to the nearest hundredth.(2 points)

   

b=63 feet

500

The measures of the three angles in  are given in terms of the variable x.

    Find the measurements of all three angles in the triangle. (10 points)

Angle R = 65 degrees

Angle S = 80 degrees

Angle T = 35 degrees

Exponents/Scientific Notation

100

Which expression below correctly represents the number 567 using scientific notation?

    (1)         (2)

    (3)         (4)

(3)    

200

When the fraction  is simplified, the result is which of the following?

    (1)      (3)

    (2)      (4)

(2)

300

#22 (b)

81/c^12

400

  #23 (d)

1.246 x 10^-6

500

A bag contains approximately  grains of rice. If each grain of rice weighs approximately  grams, what is the total number of grams of rice in the bag?

4.26 x 10^2

Functions/slope

100

Which equation shown below has a slope of 8 and passes through the point ?

    (1)      (3)  

    (2)      (4)

(2) 

200

Which of the following is the slope of a line that passes through the points whose             coordinates are  and ?

    (1)      (3)  

    (2)      (4)  

  (1)

300

The graph below shows a function. Which of the following is not in the range of the function?

    (1) 0

    (2) 2

    (3)

    (4) 9

(4) 9

400

For the following scenarios, write the linear equation that represents the information given by identifying the rate and initial value.

Margret is carpeting her floor. The room she is carpeting has an area of 1,500 square feet. She can carpet at a rate of 50 square feet per hour. Write a linear function for the area Margret has remaining, a, as a function of the time, t, in hours she has been carpeting.

a = -50t +1500

500

Find the average rate of change of the following function from x=-1 to  x=1. (4 points)

m= -3

Systems of Equations

100

Solve each of the following systems by elimination. Justify your work.

             

(-1, 4)

200

The expression  is equivalent to which of the following?

    (1)      (3)

    (2)     (4)

(3)

300

At what coordinate point do the lines  and  intersect?

    (1)  

    (2)  

    (3)

    (4)  

(3)

400

At what point shown below do the lines  and intersect?

    (1)      (3)  

    (2)      (4)

(4)

500

Determine the coordinate point where the two lines below intersect. Use algebra to find your answer.

(5, 7)