Math 0306 Final Exam Review

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1 Math 006 Final Exam Review Problem Section Answers Whole Numbers 1. According to the 1990 census, the population of Nebraska is 1,8,8, the population of Nevada is 1,01,8, the population of New Hampshire is 1,109,, and the population of New Mexico is 1,1,069. Which of the four states has the greatest population? 1. Nebraska. Add: 1,89,1 +109,8 1. 0,1. Find the sum of 9,11 and 1,. 1. 9,8. Evaluate a + b + c when a =,0, b = 9,6, and c =,9.. Subtract:,01 9, ,811 1.,9 6. Find 9,061 decreased by 9,. 1. 6,69. You have a checking account balance of $1,09. You then wrote checks for $19, $1, and $. Find the new checking account balance. 1. $ Round 9,601 to the nearest thousand. 1. 0, Estimate the sum of 9, 6, 18, and 0. 1., Estimate the difference between 6,1 and, , Estimate the product of,9 and , Multiply: 9. 1., Multiply: ,96 1. What is the product of 00,, 0, and /8/009

2 1. Evaluate st when s = and t = , Divide: 6 8, r1 1. Divide:, r What is the quotient of 096 and 8? Evaluate x y when x =,680 and y = , A consumer makes a down payment of $1,00 on a computer system costing $,80. The balance is to be repaid in equal monthly payments. What is the monthly payment? 1.6 $ Write a a a a b b bin exponential form. 1. ab. Evaluate: Find the cube of Evaluate ab when a = and b =. 1.. Simplify: 1 (10 ) Simplify: ( 61). Evaluate: ( ) x+ x y when x= 9and y = Graph on the number line Place the correct symbol, <, =, or >, between these two numbers: < Integers 0. Graph x on the number line when x = Find the opposite of v..1 v. Find the absolute value of Which is the highest temperature, 8 C, 1 C, 9 C, or 6 C?.1 6 C

3 . Add: 8 + ( ).. 1. Add: + ( ) Add: 1 + ( ) ( 6).. 1. Subtract: ( 6) Subtract: Subtract: Subtract: ( 6) ( ).. 0. Subtract: ( 6) ( 1) Simplify: + ( 18)... Evaluate x ( y) z when x = 9, y = 1, and z = 1... Multiply: ()( ) What is the product of 0 and 60?. 00. Evaluate x( y) when x = and y = Divide: 18/ What is 80 divided by 0? Evaluate m n when m = 8 and n =.. 9. The boiling point of radon is 6 C. The melting point of neon is four times the boiling point of radon. Find the melting point of neon?. 8 C Simplify: ( ) ( ) ( 8) 1. Evaluate ( bc) d when b = c = 1 and d =,,.. 9 Fractions. Find all the factors of 6.. 1,,,, 8, 1, 8, 6. Find the prime factorization of 10..

4 . Find the LCM of 1,, and Express the shaded portion of the figure as a fraction Express the shaded portion of the circles as an improper fraction and as a mixed number..1 ; 8 8. Write 6 as a mixed number or a whole number Write as an improper fraction Write. in simplest form In a history class, students received an A,. students received a B, 6 students received a C, and students received a D. What fraction of the students in the class received an A? Multiply: i Multiply: Multiply: Divide: Divide: Evaluate x y when x = 8 and y = Write a fraction that is equivalent to and has a denominator of Add:

5 69. Place the correct symbol, <, =, or >, between the two numbers > Add: Find the sum of and Evaluate x + y when x = and. 9 y = Subtract: Subtract: Two inlet pipes are being used to fill a tank. After one hour, the smaller pipe has filled of the tank. 8 1 and the larger pipe has filled 1 of the tank. How much of the tank remains to be filled? Simplify: Simplify: Add: What is more than 10 6?. 80. Subtract What is less than 10 8?. 8.. Evaluate x y when x = and y = What is multiplied by 1? Find divided by

6 Decimals 8. Write 0.8 as a fraction Write.00 in words..1 four and seven 8. Write nineteen and seven thousand eight hundred thirteen hundred-thousandths in standard form. thousandths Round to the nearest thousandth Convert 0.6 to a fraction Add: Subtract: 0.6 ( 6.0) What is the sum of 0.9, 0., 0.08, and 0.6? You have a monthly budget of $0. This month you have already spent $.68 for the telephone bill, $.9 for food, $18.0 for gasoline $180 for rent, and $8.6 for a loan repayment. How much money do you have left in the budget for the remainder of the month?. $ Multiply:.(0.009) Find the product of.66 and 10.., Evaluate cd when c =.6 and d = Divide and round to the nearest thousandth: ( 0.09) ( 6.81) What is.01 divided by 10? Write as a decimal. 1, Convert to a decimal. Place a bar over the.8 6 repeating digits of a repeating decimal Place the correct symbol, <, =, or >, between the. > two numbers

7 10. Simplify Simplify: Real # 10. Graph on the number line. Supp 10. Graph. on the number line. Real # Supp 106. Graph all real numbers less than 1. Real # Supp 10. Graph the real numbers between 1 and. Real # Supp 108. Graph x 1 on the real number line. Real # Supp Combining Like Terms 109. Simplify: ( t) 8..1 t.1 8x 110. Simplify: ( 1x) Simplify: (x )..1 6x Simplify: (a + b + 1)..1 a b Simplify: x + 6x x 8x x x 11. Simplify: b [( b) (b + 1)]..1 b 1 Solving Equations 11. Is a solution of y =(y ) + 9?.6 Yes 116. Solve: a + 1 = Solve: 6 + a = Solve: 8 = + x Solve: x = Solve: 6 = 9y

8 11. Solve: x = n 1. Solve: 1 = Solve: y 11 = Solve: = 8b Solve: 0 = 1 b Solve: x + = Solve: x = x Solve: w = w Solve: x = Solve: y = Solve: 0 = x Solve: v = Solve: n + =. 8 x.8 1. Solve: = Solve: x =. 16. Solve: 11 n = n Solve: (x ) = Solve: x = x (x 6) Solve: ( a) + 6a = (a + )..8 6 Ratios, Proportion, and Percent 10. Write the comparison 1 lb to 9 lb as a ratio in simplest form using a fraction

9 11. Write 0 mi in 1 h as a rate in simplest form mi h 1. Write $,000 earned in 1 months as a unit rate. 6.1 $,0/month 1. Which proportion 6. = =, =, =, or = is true? n Solve: = Solve: =. Round to the nearest hundredth. y Solve: = n + 1. A stock investment of 00 shares paid a dividend of $0. At this rate, how many additional shares are required to earn a dividend of $00? 6. additional shares 18. Find the ratio of the corresponding sides for the similar triangles. 8 m m m 18 m 19. Triangles ABC and DEF are similar. Find side AC. 6. cm E B cm cm A C D 0 cm 10. Triangles ABC and DEF are similar. Find the perimeter of triangle ABC. B cm cm F E 0 cm 6. 1 cm A C D 0 cm F 11. Write 8% as a fraction Write % as a fraction. 00 9

10 1. Write 6 % as a fraction Write.% as a decimal Write 1% as a decimal Write % as a decimal Write 0.06 as a percent..1 6.% 18. Write 1.6 as a percent % 19. Write 0.96 as a percent..1 96%.1 % 160. Write as a percent Write 1 1 as a percent. 16. Write 1 as a percent. Round to the nearest tenth.1 10%.1 1.% of a percent. 16. What percent of is 0?. 66 % 16. What percent of 90 is 6?. 0% 16. % of what is 19.? Find 16 % of is what percent of 10?. 160% Geometric Figures 168. Find the unknown side of the triangle. Round to the nearest hundredth in. 10 in 8 in 10

11 169. A ladder m long is leaning against a building. How high on the building will the ladder be when the bottom of the ladder is m from the building? Round to the nearest thousandth. 6. m m 10. Determine the complement of a angle Determine the supplement of a 1 angle Given BC = 18 mm and AB is two-thirds the length of BC, find the length of AC mm A B C 1. Given that ABC is a right angle, determine the measure of x. A x C x B 1. L 1 L. Find the measure of angles a, b, c, and d. 9.1 angle a = angle b = 1 angle c = angle d = 1 a b c d 1. A triangle has a 1 angle and a 6 angle. Find the measure of the other angle. 16. A right triangle has a 1 angle. Find the measure of the other two angles. Perimeter, Area, and Volume 1. Find the perimeter of a triangle with sides 1. cm, 1. cm, and 1.8 cm , cm 11

12 18. Find the circumference of a circle with a radius of 6 cm. Use π Find the exact circumference of a circle with a diameter of ft Find the perimeter of a rectangle with a length of m and a width of 0. m cm 9. π ft 9.. m 181. Find the perimeter of the figure m 1 m 1 m 8 m 9 m m m 18. Find the area of a right triangle with base cm and a height of.6 cm cm 18. Find the area of a square with a side of ft ft 18. Find the area of a rectangle with length of in. and a width of 1 in. 18. Find the exact area of a circle with a diameter of 6 cm Find the volume of a rectangular box tha measure x. x in π cm in 1

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