Nombre ___________________________________Repaso de Algebra

SELECCION MULTIPLE. Escoja una alternativa que mejor complete o responda la pregunta.Find the product. Simplify the answer.

1) ∙ 1) _______

A) B) C) D)

RESPUESTA CORTA. escriba una palabra o una frace que mejor complete o responta la pregunta.Give three examples of numbers that satisfy the given conditions.2) A rational number, but not a positive number.2) _____________Provide an appropriate response.3) For each hour of class time, how many hours outside of class are recommended for studying and doing homework?3) _____________SELECCION MULTIPLE. Escoja una alternativa que mejor complete o responda la pregunta.Solve the problem.4) A stove sells for $ 1184. If the sales tax rate is 7.0%, what is the total price? 4) _______A) $ 828.80 B) $ 2012.80 C) $ 1266.88 D) $ 82.88

Simplify the fraction. If the fraction is already simplified, so state.

5) 5) _______

A) simplified B) C) D)

List all numbers from the given set that are members of the given Real Number subset.

6) { 16, , -13, 0, 0. , } Whole numbers 6) _______

A) 16, -13, 0, B) 16, 0, C) 16, 0 D) 16, -13, 0

Insert either < or > to make a true statement.

7) 0.64 7) _______

A) < B) >

Write the opposite of the number.8) 0 8) _______A) 1 B) 10 C) 0 D) not defined

Evaluate.9) -40 - (- 150) 9) _______A) 190 B) -190 C) 110 D) -110

Determine whether the product will be positive, negative, zero, or whether there is not enough information to say.10) The product of two non-negative numbers. 10) ______A) zero B) positiveC) negative D) not enough information

Evaluate.

11) + 11) ______A) 29 B) 17 C) 65 D) 49

Name the property illustrated.12) 1(r + 8) = (1)(r) + (1)(8) = r + 8 12) ______A) commutative property of multiplication B) associative property of multiplicationC) identity property of multiplication D) distributive property

Solve for the indicated variable.

13) A = h(B + b), for b 13) ______

A) b = 2A - Bh B) b = C) b = D) b =

Simplify.14) 0.8 - 0.3(y + 2) + 0.5 - 3 14) ______A) 0.3y - 1.1 B) -0.3y - 2.3C) y + 3.7 D) -0.3y - 3.7

Solve the equation and check your solution.15) 4.9 + x = 22.4 15) ______A) x = 17 B) x = 27.3 C) x = 17.5 D) x = 26.8

16) -3x = -21 16) ______A) x = 7 B) x = 18 C) x = 2 D) x = -18

Solve the equation.17) 9x - ( 7x - 1) = 2 17) ______

A) x = B) x = - C) x = D) x = -

18) 6(x + 4) = ( 6x + 24) 18) ______A) all real numbers B) x = 48C) no solutionD) x = 0

Determine the area or volume as indicated. Use 3.14 for π when necessary.19)

Find the area.19) ______

A) 240.3 B) 160.2 C) 320.4 D) 480.6

Solve the proportion for the variable by cross-multiplying.

20) = 20) ______

A) x = 0.05 B) x = 21.69 C) x = 3.74 D) x = 1494.00

Solve the inequality and graph the solution on a number line.21) x - 9 < -1

21) ______

A) x < 8

B) x > 8

C) x ≥ 8

D) x ≤ 8

Solve the problem.22) A bookcase is to be constructed with three shelves as shown. The height of the bookcase is 2 feet longer than the length of a shelf, and only 22 feet of lumber is available. What should be the width and height of the bookcase?

22) ______

A) length = 3 feet; height = 6 feetB) length = 4.5 feet; height = 6.5 feetC) length = 10 feet; height = 13.5 feet D) length = 3 feet; height = 5 feet

Write an equation to represent the problem.23) Three more than seven times a number is that number increased by 35. 23) ______A) 7x + 3 = x + 35 B) 7x + 3 = 35x C) 7x - 3 = x + 35 D) 7(x + 3) = x + 35

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. 24) Andrea decided to rollerblade to her mother's house. Four blocks from her home, one of the wheels on her skate broke, and she had to walk the remaining six blocks to her mother's. She could not repair her skate and had to walk all the way back home. How many more blocks did Andrea walk than she skated? 24) ______

A) 12 blocks B) 20 blocks C) 16 blocks D) 10 blocks

Solve the problem.25) The length of a rectangular storage room is 8 feet longer than its width. What are the dimensions of the room if the area of the room is 105 square feet? 25) ______

A) 6 ft by 14 ft B) 7 ft by 15 ft C) 6 ft by 16 ft D) 8 ft by 16 ft

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.

26) A bank loaned out $59,000, part of it at the rate of per year and the rest at a rate of per year.

If the interest received was $5440, how much was loaned at 26) ______

A) $30,000 B) $31,000 C) $28,000 D) $29,000

Add using columns.

27) Add 6 - 6 and 8 + 9 . 27) ______

A) 17 B) 14 + 3 C) 17 D) 14 + 3

Write using exponents.28) bbbbbbb 28) ______

A) B) C) 7 b D)

Simplify.

29) 29) ______

A) B) - C) D) -

Solve the problem.

30) The mass of an electron is approximately 9.11 × grams. Find the mass of 540,000,000 electrons. 30) ______

A) 4.9194 × grams B) 4.9194 × grams

C) 4.9194 × grams D) 4.9194 × grams

Subtract using columns.31) Subtract ( 8x7 - 3x6 + 2x5 + 4) from ( 5x7 + 6x6 - 4x5 - 3). 31) ______A) 13x7 + 3x6 - 2x5 + 1 B) -3x7 + 3x6 - 2x5 + 1C) -3x7 + 9x6 - 6x5 - 7 D) 13x7 + 3x6 - 2x5 - 7

Multiply.32) (x - 5)(x + 3) 32) ______

A) - 2x - 15 B) - 2x - 2 C) - 3x - 15 D) - 15x - 2

Divide.

33) 33) ______

A) -8 - 24x - 3 B) -32 - 96x - 48

C) -2 - 6x - 3 D) -2 - 24x - 12

Solve the problem.34) The length of a rectangular storage room is 10 feet longer than its width. If the area of the room is 75 square feet, find its dimensions. 34) ______

A) w = 5 ft, l = 15 ft B) w = 4 ft, l = 14 ftC) w = 4 ft, l = 16 ft D) w = 6 ft, l = 16 ft

Factor the GCF from each term in the expression.35) 50x + 10 35) ______

A) 10( 5x) B) 5( 10x + 2) C) 2( 25x + 5)D) 10( 5x + 1)

Factor by grouping.

36) - 2x - 4x + 8 36) ______A) (x + 2)(x + 4) B) (x - 2)(x + 4) C) (x + 2)(x - 4) D) (x - 2)(x - 4)

Factor the polynomial. If the polynomial is prime, so state.

37) 36 - 13x + 37) ______A) (x - 4)(x - 9) B) (x - 4)(x + 9) C) (x + 4)(x + 9) D) (x + 4)(x - 9)

Factor completely. If the polynomial is prime, so state.

38) 18 - 225 + 567x 38) ______A) 9x(x + 9)( 2x + 7) B) x( 9x - 9)( 2x - 7)C) 9x(x - 9)( 2x - 7) D) prime

Factor the difference of two squares.39) 25x2 - 16 39) ______A) ( 5x + 4)( 5x + 4) B) ( 5x + 4)( 5x - 4) C) ( 5x - 4)( 5x - 4) D) prime

Determine whether the equation is a quadratic equation.

40) + 3 = 0 40) ______A) Yes B) No

Solve the problem.41) Find the length of the shorter leg of a right triangle if the longer leg is 24 meters and the hypotenuse is 6 more than twice the shorter leg. 41) ______

A) 18 m B) 17 m C) 10 m D) 9 m

Evaluate.42) Subtract -23 from -9.6 42) ______A) -13.4 B) 13.4 C) -32.6 D) 32.6

RESPUESTA CORTA. escriba una palabra o una frace que mejor complete o responta la pregunta.Provide an appropriate response.43) For each hour of class time, how many hours outside of class are recommended for studying and doing homework?43) _____________44) List the things you need to do to prepare properly for class.44) _____________SELECCION MULTIPLE. Escoja una alternativa que mejor complete o responda la pregunta.Solve the problem.45) The total price of a new RV is $63,722.72. The tax, title, and dealer charges amount to $722.72. Find the price of the RV before the extra charges. 45) ______

A) $6300.00 B) $64,445.44C) $63,000.00D) $62,277.28

The graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. Use the graph to answer the question(s).

46) During which two hour period did the temperature increase the most? 46) ______A) 12 p.m. to 2 p.m. B) 10 a.m. to 11 a.m.C) 10 a.m. to 12 p.m.D) 9 a.m. to 11 a.m.

Find the quotient. Simplify the answer.

47) 4 ÷ 1 47) ______

A) 2 B) 2 C) 2 D) 3

Add or subtract. Simplify the answer.

48) + 48) ______

A) B) C) D)

List all numbers from the given set that are members of the given Real Number subset.

49) Integers 49) ______

A) 13, -7, 0, B) 13, -7, 0, C) 13, -7, 0 D) 13, 0,

Indicate whether the statement is true or false.50) When zero is added to the set of positive integers, the set of counting numbers is formed. 50) ______A) trueB) false

Evaluate.51) -| -13| 51) ______

A) -13 B) 13 C) - D) 26

Insert either < or > to make a true statement.52) -18 _____ -( -24) 52) ______A) > B) <

Write the opposite of the number.53) 0.889 53) ______

A) - B) C) D) - 0.889

Add.54) - 181 + 957 54) ______A) 676 B) - 776 C) - 1138 D) 776

Evaluate.

55) - - 55) ______

A) - B) C) - D)

Find the difference using your calculator.56) Subtract 845 from - 182 56) ______A) -663 B) 663 C) -563 D) -1027

Indicate whether the quotient is 0 or undefined.

57) 57) ______

A) 0 B) undefined

Use your calculator to find the quotient.58) -1040.16 ÷ 0 58) ______

A) - B) undefined C) -1040.16 D) 0

Evaluate the expression for the given value of the variable or variables.

59) 4 + 6x; x = 59) ______

A) 4 B) 9 C) D) 2

Solve the problem.60) If the sales tax on an item is 9%, the sales tax on an item costing d dollars can be found by the expression 0.0 9d. Determine the sales tax on a camera that costs $ 840. Round your answer to the nearest cent. 60) ______

A) $ 75.60 B) $ 67.20 C) $ 84.00 D) $ 756.00

Indicate whether the given process is commutative. That is, does changing the order in which the actions are done result in the same final outcome?61) Putting on your right-hand glove; putting on your left-hand glove 61) ______A) yes B) no

For the given expression, determine the indicated inverse.62) 26

additive inverse 62) ______

A) 0 B) 26 C) D) -26

Solve the equation and check your solution.63) -7.85 = 1.57v 63) ______

A) v = -12.32 B) v = - C) v = -5 D) v = 5

Determine whether the terms are like or unlike.64) ab, 22ba 64) ______A) like B) unlike

Simplify.65) -6( 9r + 8) + 3( 10r + 9) 65) ______A) -102r B) -24r + 8 C) 3r + 2 D) -24r - 21

66) 0.8 - 0.3(y + 7) + 0.9 - 5 66) ______A) -0.3y - 10.3 B) 0.3y - 1.2 C) y + 4.6 D) -0.3y - 5.4

Solve the equation and check your solution.67) -2.3 + x = 24.4 67) ______A) x = 26.7 B) x = 21.6 C) x = 22.1 D) x = 26.2

Solve the problem.

68) Is z = a solution of -(z - 6) - (z - 6) = 2z - -2? 68) ______

A) Yes B) No

Solve the equation and check your solution.

69) t = - 69) ______

A) t = B) t = - C) t = - D) t = -

Find the reciprocal.

70) 70) ______

A) - B) C) 9 D) -

Solve the equation.71) -69 = -8x - 5 71) ______A) x = -56 B) x = 8 C) x = 13 D) x = -52

72) 9x - ( 8x - 1) = 2 72) ______

A) - B) 1 C) - 1 D)

73) - = 73) ______

A) x = 7 B) x = C) x = -4 D) x = 4

74) -5x + 4( 3x - 3) = -2 - 3x 74) ______

A) x = - B) x = 1 C) x = - 1 D) x = -

Use the simple interest formula.75) Melissa invested a sum of money at 3% annual simple interest. She invested three times that sum at 5% annual simple interest. If her total yearly interest from both investments was $7200, how much was invested at 3%? 75) ______

A) $40,000 B) $30,000 C) $270,000 D) $90,000

Solve for the indicated variable.

76) P = , for r 76) ______

A) r = B) r = P - tA C) r = D) r =

Determine the following ratio. Write the ratio as a fraction in lowest terms.77) 93 minutes to 14 hours 77) ______A) 31: 280 B) 14: 93 C) 93: 14 D) 280: 31

The results of a mathematics examination are given. Write the ratio in lowest terms.78) Results: 9 A's, 6 B's, 8 C 's, 7 D's, 3 F'sA's to total grades 78) ______

A) 11 : 3 B) 3 : 33 C) 3 : 8 D) 3 : 11

Solve the inequality and graph the solution on a number line.79) 1.1x + 24.5 < 4.9x + 5.5

79) ______

A) v = -5

B) x > 5

C) v =

D) v = 180

80) 18x + 9 > 3( 5x - 6)

80) ______

A) x ≤ -9

B) x ≥ -9

C) x > -9

D) x < -9

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. 81) A 6-ft. board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces. 81) ______

A) shorter piece: 16 ft; longer piece: 18 ft B) shorter piece: 6 ft; longer piece: 20 ftC) shorter piece: 1 ft; longer piece: 5 ft D) shorter piece: 3 ft; longer piece: 18 ft

82) City A has an elevation of 10,271 feet above sea level while city B has an elevation of 19,568 feet below sea level. How much higher is City A than City B? 82) ______

A) 29,839 ft. B) 29,939 ft. C) 9297 ft. D) 9397 ft.

Write an equation to represent the problem.83) The difference of twice a number and 9 is 19. 83) ______A) 2x - 9 = 19 B) 2x + 9 = 19 C) 9 - 2x = 19 D) x - 2 ∙ 9 = 19

Express the statement as an algebraic expression.84) One-fourth the height , g 84) ______

A) g B) g C) D) 4 g

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. 85) You inherit $10,000 with the stipulation that for the first year the money must be invested in two stocks paying 6% and 11% annual interest, respectively. How much should be invested at each rate if the total interest earned for the year is to be $800? 85) ______

A) $7000 invested at 6%; $3000 invested at 11%B) $5000 invested at 6%; $5000 invested at 11%C) $6000 invested at 6%; $4000 invested at 11%D) $4000 invested at 6%; $6000 invested at 11%

86) At the beginning of the year, the odometer on an SUV read 37,886 miles. At the end of the year, it read 53,756 miles. If the car averaged 23 miles per gallon, how many gallons of gasoline did it use during the year? 86) ______

A) 15,870 gallons B) 690 gallons C) 69 gallons D) 365,010 gallons

Solve the problem.87) A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced-in area is to be twice the width, and the total amount of fencing to be used is 340 feet. Find the length and width of the fenced-in area.

87) ______

A) l = 26.1 ft, w = 13 ft B) l = 68 ft, w = 34 ftC) l = 75.6 ft, w = 37.8 ft D) l = 36 ft, w = 34 ft

88) The measure of one angle of a quadrilateral is three times the smallest angle; the third angle is 20° greater than the smallest angle; and the fourth angle is 45° less than twice the second angle. 88) ______

A) angle 1 = 35°; angle 2 = 105°; angle 3 = 55°; angle 4 = 165°B) angle 1 = 48.1°; angle 2 = 96.3°; angle 3 = 68.1°; angle 4 = 147.5°C) angle 1 = 55°; angle 2 = 165°; angle 3 = 75°; angle 4 = 65°D) angle 1 = 42.8°; angle 2 = 128.3°; angle 3 = 148.3°; angle 4 = 40.6°

Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked. 89) Khang and Hector live 22.8 miles apart. They decide to bicycle towards each other and meet somewhere in between. Hector's rate of speed is 90% of Khang's. They start out at the same time and meet 2 hours later. Find Hector's rate of speed. 89) ______

A) 5.4 mph B) 6 mph C) 22.8 mph D) 12 mph

90) Jeff starts driving at 55 miles per hour from the same point that Lauren starts driving at 50 miles

per hour. They drive in opposite directions, and Lauren has a head start. How long will they be able to talk on their cell phones that have a 310-mile range? 90) ______

A) 2.9 hours B) 3 hours C) 2.7 hours D) 3.2 hours

Subtract using columns.91) Subtract ( 11x8 - 5x4 + 8x3 - 10) from ( 8x8 + 8x7 - 9x3 + 8) . 91) ______A) -3x8 + 8x7 - 5x4 - 17x3 + 18 B) -3x8 + 8x7 + 5x4 - 17x3 + 18 C) 3x8 + 8x7 + 5x4 - 17x3 + 18 D) 3x8 + 8x7 - 5x4 - 17x3 + 18

Divide.

92) 92) ______

A) + + 4x + 8 + B) + + 4x + 8 +

C) - + 4x - 8 + D) + + 4x + 8

Write using exponents.93) xxxx 93) ______

A) B) C) 4 x D)

Simplify the expression by dividing out common factors. If the expression cannot be simplified by dividing out common factors, so state.

94) 94) ______

A) B) Cannot be simplified by dividing out common factors.

C) - fD) 9

Simplify.

95) ∙ 95) ______

A) - B) -16x C) D)

96) 96) ______

A) 6 B) 6 C) D)

Perform the indicated operation and express the number in decimal form (without exponents).

97) 97) ______

A) 0.0003 B) -30,000 C) -0.0003 D) 30,000

Perform the indicated operation by first converting the numbers to scientific notation. Write the answer in scientific notation.

98) 98) ______

A) 1.0 × 2 B) 1.0 × C) 1.0 D) 1.0 ×

Add using columns.

99) Add -9 + 4x - 8 and -2 + 5x + 5. 99) ______

A) -9 - 2 + 9x - 3 B) -9 + 2 - 3x + 5

C) -11 + 9x - 3 D) -11 + 2 - 8x + 5

Subtract using columns.100) Subtract ( 8 a - 1) from ( 7 a + 8). 100) _____A) -a + 9 B) a - 9 C) -a + 7 D) 15 a + 7

Determine the cube of the expression by writing the expression as the square of an expression multiplied by another expression.

101) 101) _____A) 27x3 + 135x2 + 135x + 125 B) 27x3 + 135x2 + 225x + 125C) 9x2 + 30x + 25 D) 9x6 + 15x3 + 15,625

Multiply.102) -4x4( -12x7 - 11x2 + 2) 102) _____A) 48x11 + 44x6 - 8x4 B) 48x7 + 44x2 - 8C) 48x11 - 11x2 + 2D) 48x11 + 44x6

Divide.

103) ( 18 - 36 ) ÷ (-6 ) 103) _____

A) 18x8 + B) -3 + 6x4 C) -3 - 36x4 D) -3 +

104) 104) _____

A) x + 7 B) x + 6 - C) D) x + 6 +

Factor by grouping.

105) + ax + 8 a + 8x 105) _____A) x(x + a) + 8 B) x(x + a) C) x(x + 8) D) (x + 8)(x + a)

Factor the GCF from each term in the expression.

106) 6 + 21x + 12 106) _____

A) 3xyz( 2 + 7 + 4z) B) 3( 2 + 7x + 4 )

C) 3 ( 2 + 7x + 4) D) No common factor

107) x(x + 9) + 15(x +9) 107) _____A) 9x(x + 15) B) 15x(x +9)

C) (x +9)(x + 15) D) ( + 9x) + ( 15x + 135)

Determine the greatest common factor for the group of terms.

108) 10 , , 2 108) _____

A) 2 B) C) 2 D) 10

Factor by grouping.109) 3x - 24 + xy - 8y 109) _____A) (y - 8)(x + 3) B) (x - 8)( 3 + y) C) (y - 8)( 3x + y) D) (x - 8y)( 3 + y)

110) xy + 6 + 3y + 2x 110) _____A) (x + 2)(y + 3) B) 2x(y + 3) C) (y + 2)(x + 3) D) 2y(x + 3)

Factor completely. If the polynomial is prime, so state.

111) 4 y + 20xy - 56y 111) _____A) 4y(x + 2)(x - 7) B) 4y(x + 2)(x + 7) C) 4y(x - 2)(x + 7) D) 4y(x - 2)(x - 7)

Factor the polynomial. If the polynomial is prime, so state.

112) 77 + 76x + 112) _____A) (x + 77)(x - 1) B) (x + 77)(x + 1) C) (x + 11)(x + 7) D) prime

Factor completely. If the polynomial is prime, so state.113) 20y2 - 23y + 6113) _____A) ( 4y + 3)( 5y + 2) B) ( 4y - 3)( 5y - 2) C) ( 20y + 3)(y + 2) D) prime

114) 40 + 69 + 27x 114) _____A) x( 5x + 9)( 8x + 3) B) 5x(x + 3)( 8x + 9)C) x( 5x + 3)( 8x + 9) D) prime

Factor completely.115) xy - 2yz + 8x - 16z 115) _____A) (y + 2)(x - 8z) B) (y + 8)(x - 2z) C) (y - 2)(x + 8z) D) (y - 8)(x + 2z)

116) 4 - 8x - 96 116) _____A) (x + 4)( 4x - 24) B) 4(x + 4)(x - 6)C) ( -96x + 16)(x - 6) D) 4(x - 4)(x + 6)

Solve.

117) = 4 117) _____A) -6 B) -4 C) 6, 2 D) -6, -2

118) 36x2 = 25 118) _____

A) , - B) C) D) , -

Solve the problem.119) Find the length of the shorter leg of a right triangle if the longer leg is 24 meters and the hypotenuse is 6 more than twice the shorter leg. 119) _____

A) 9 m B) 17 m C) 18 m D) 10 m

120) A window washer accidentally drops a bucket from the top of a 256-foot building. How long will it take the bucket to hit the ground? 120) _____

A) 4 sec B) 16 sec C) -4 sec D) 64 sec

1) D2) Answers will vary. Students should give three examples of rational numbers which are

not positive such as - , 0, -0.62.3) At least 2 hours of study and homework time for each hour of class time is generally recommended.4) C5) C6) B7) A8) C9) C10) D11) A12) D13) D14) B15) C16) A17) C18) A19) A20) A21) A22) D23) A24) A25) B26) C27) D28) D29) A30) B31) C32) A33) C34) A35) D36) D

37) A38) C39) B40) B41) C42) B43) At least 2 hours of study and homework time for each hour of class time is generally recommended.44) Do all the homework carefully and completely, and preview the new material to be covered in class.45) C46) D47) A48) A49) B50) B51) A52) B53) D54) D55) D56) D57) B58) B59) A60) A61) A62) D63) C64) A65) D66) D67) A68) A69) C70) B71) B72) B73) D74) B75) A

76) C77) A78) D79) B80) C81) C82) A83) A84) A85) C86) B87) B88) A89) A90) C91) B92) B93) A94) B95) D96) D97) A98) B99) A100) A101) B102) A103) D104) B105) D106) B107) C108) C109) B110) C111) C112) D113) B114) C115) B116) B117) D118) A119) D12

0) A