Exam 1: The Art of Problem Solving

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question. -What percent of students in the college are history majors (to the nearest tenth of a percent)?

Solve the problem. -Sally and Karl work at different jobs. Sally earns $6 per hour and Karl earns $3 per hour. They each earn the same amount per week but Karl works 4 more hours. How many hours a week does Karl Work?

Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. -7, 13, 13, 19, 19, . . .

Use your calculator to perform the indicated operations. Give as many digits in your answer as shown on your calculator display. - $( 9.6 ) ^ { 2 } + 2.9 - 3$

Solve the problem. -The sale price on an outfit Sally wanted was a 5-digit palindromic number, say $abc.de, satisfying the given conditions: Sally would never pay over $\$ 200.00$ ; b, c, and d are all multiples of 3 ; $c = ( d + b ) - 12 ;$ the sum of all the digits is a multiple of 13; $\mathrm { a } + \mathrm { e } = ( \mathrm { b } + \mathrm { d } ) - 16 ; \text { and } \mathrm { c } = 3 ( \mathrm { a } + \mathrm { e } ) \text {. }$ What amount does she owe the salesperson?

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question. -How many students are in the College of Arts and Sciences?

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer written materials in a school of 900 students?

Use the method of successive differences to determine the next term in the sequence. -8, 17, 35, 64, 106, 163, . . .

Use inductive reasoning to predict the next equation. -(4 × 1)x (2 × 1)= 8 (4 × 10)x (2 × 2)= 160 (4 × 100)x (2 × 3)= 2400

Use your calculator to perform each calculation and observe the answers. Use inductive reasoning to determine which statement is true. - $( - 27 ) ^ { 2 } ; ( - 3 ) ^ { 4 } ; ( - 0.3 ) ^ { 6 } ; ( - 1.68 ) ^ { 8 }$

Determine the indicated term in the given sequence. -The 12th term of 4, 11, 18, . . .

Use the indicated formula to find the sum. -Use $S = n ^ { 2 }$ to find the sum of $11 + 13 + \ldots + 801$ .

Use this graph to answer the question. -What was the total increase in sales from 2009 to 2010?

Find a pattern and use it to solve the problem. -Find the next term: T, F, S, E, T, T, F

Determine the most probable next term in the sequence. -5, 7, 9, 11, 13

Determine what the next equation would be, and verify that it is indeed a true statement. -11 × 11 = 121 101 × 101 = 10,201

Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. -0, 5, 10, 20, 30, . . .

Determine the indicated term in the given sequence. -The 10th term of $\frac { 1 } { 4 } , \frac { 1 } { 8 } , \frac { 1 } { 16 } , \ldots$

Determine the indicated term in the given sequence. -The 16th term of 3.44, 3.58, 3.72, . . .

Use logic to solve the problem. -Why are 1985 pennies worth almost twenty dollars?