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Solved Examples
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D   Evaluate 7.5 + | 2a - 5 | if a = - 3.   D View Solution
D   Evaluate 82 + | 15 - 3x | + 3 if x = 6.   D View Solution
D   Evaluate | 8x - 2y | + | 5y - 2x | if x = 7.0 and y = - 3.0.   D View Solution
D   Simplify.
| 3a - 9b | + | 2b + 6a | - 8.4 if a = - 5 and b = 3   D
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D   If a = 3, b = 2.5, c = - 3, evaluate 5 | 2a + 4b | - 3 | 2b - 6c | + | 3a + 2c |.   D View Solution
D   Evaluate the expression 14y, for y = 9.
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D   Evaluate the expression 259y, for y = 7.   D View Solution
D   The cost of n pens is given by the expression $16n. Find the cost of 4 pens.
   D
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D   Evaluate the expression 53 - y + 3, for y = 6.   D View Solution
D   Find the value of the expression - 119x, for x = 17.   D View Solution
D   A truck travels at a constant speed of 61 miles per hour. Find the distance traveled by the truck in 2 hours.   D View Solution
D   Which of these would you get by evaluating the expression 31 - 5y, for y = 4?   D View Solution
D   Find 4y + 4z, for y = 9 and z = 5.   D View Solution
D   Evaluate the expression y + (z5), for y = 15 and z = 15.
   D
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D   Evaluate the expression 2ab - c, for a = 5, b = 4 and c = 2.
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D   Evaluate the expression 2abc3, for a = 9, b = 2 and c = 5.   D View Solution
D   Evaluate the expression a(b + 5) - c, for a = 4, b = 3, and c = 3.   D View Solution
D   Joe walks at a speed of 7 miles per hour. Which of the following expressions describes the distance covered by him in h hours?
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D   Frank has 10 shirts now. Which expression describes the number of shirts Frank has if he buys y more shirts?
   D
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D   Which of the following pair of operations is included in the variable expression for the statement?
"nine times a number decreased by nine"
   D
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D   Andy has a collection of audio DVDs. He owns 33 DVDs at present. Which of the following expressions describes the total number of DVDs owned by Andy, if they are increased by a number z?
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D   A number is 3 times the number (3x + 4). What is the number?   D View Solution
D   Which of the following is the correct choice for the phrase, "y is divided by a number 34"?   D View Solution
D   Identify the variable expression for the word phrase, "The difference between k and 12 is equal to 4".
   D
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D   Identify an expression for the distance traveled by a cyclist in h hours at a speed of 17 km/h. Find the distance he travels in 4 hours.
   D
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D   A train is moving at a speed of S2 = S1 + 11t km/h, where S1 is the initial speed, S2 is the final speed of the train, and t is the time in hours. Find S2 after 4 hours, if S1 is 70 km/h.   D View Solution
D   The formula for converting temperature in Fahrenheit to Celsius is C = 59[F - 32]. If F = 68o F, then find C(°C).   D View Solution
D   Evaluate 21y + 25z for y = 3 and z = 5.   D View Solution
D   Find the area of a rectangle that is 6 cm long and 4 cm wide.   D View Solution
D   Find the area of a square, if each side of the square measures 0.3 cm.
   D
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D   Find the perimeter of a square having sides of length 2.5 cm each.
   D
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D   Find the area of a triangle of height 3 feet and base measuring 8 feet.
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D   Evaluate 85x + y + z for x = 4, y = 6 and z = 7.   D View Solution
D   The formula S = n (n + 1)2 is used to find the sum of the first n natural numbers. Find the sum of the first 12 natural numbers.
   D
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D   The trapezoid PQRS is formed by combining the two triangles ABC and DEF. What is the perimeter of trapezoid PQRS?   D View Solution
D   The cost of n pens is given by the expression $6n. Find the cost of 2 pens.
   D
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D   Find the area of a triangle of height 6 feet and base measuring 16 feet.
   D
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D   Find the value of the expression - 144x, for x = 18.   D View Solution
D   A truck travels at a constant speed of 95 miles per hour. Find the distance traveled by the truck in 8 hours.   D View Solution
D   Which of these would you get by evaluating the expression 17 - 3y, for y = 2?   D View Solution
D   Find 3y + 4z, for y = 6 and z = 3.   D View Solution
D   Evaluate the expression 28y, for y = 8.
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D   Evaluate the expression 108y, for y = 6.   D View Solution
D   Evaluate the expression 94 - y + 9, for y = 2.   D View Solution
D   Evaluate the expression y + (z4), for y = 30 and z = 12.
   D
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D   Which of the following pair of operations is included in the variable expression for the statement?
"eleven times a number decreased by eleven"
   D
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D   The formula for converting temperature in Fahrenheit to Celsius is C = 59[F - 32]. If F = 59o F, then find C(°C).   D View Solution
D   Find the area of a rectangle that is 5 cm long and 2 cm wide.   D View Solution
D   Find the perimeter of the figure shown.   D View Solution
D   Find the area of a square, if each side of the square measures 0.4 cm.
   D
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D   Evaluate the expression 8ab - c, for a = 5, b = 2 and c = 2.
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D   Evaluate the expression 2abc3, for a = 6, b = 2 and c = 5.   D View Solution
D   Evaluate the expression a(b + 5) - c, for a = 5, b = 4, and c = 5.   D View Solution
D   Mike walks at a speed of 7 miles per hour. Which of the following expressions describes the distance covered by him in h hours?
   D
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D   Sunny has 7 shirts now. Which expression describes the number of shirts Sunny has if he buys y more shirts?
   D
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D   Andy has a collection of video tapes. He owns 36 tapes at present. Which of the following expressions describes the total number of tapes owned by Andy, if they are increased by a number z?
   D
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D   A number is 4 times the number (3x + 4). What is the number?   D View Solution
D   Which of the following is the correct choice for the phrase, "y is divided by a number 10"?   D View Solution
BBB Identify the variable expression for the word phrase, "The difference between k and 23 is equal to 3".
 BBB
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BBB Find the perimeter of a square having sides of length 5.5 cm each.
 BBB
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BBB Identify an expression for the distance traveled by a cyclist in h hours at a speed of 20 km/h. Find the distance he travels in 4 hours.
 BBB
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BBB A train is moving at a speed of S2 = S1 + 29t km/h, where S1 is the initial speed, S2 is the final speed of the train, and t is the time in hours. Find S2 after 3 hours, if S1 is 60 km/h. BBB View Solution
BBB Each angle of a regular polygon can be obtained using the expression 180(n - 2)n, where n is the number of sides. Find the measure of each angle in a regular octagon.
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BBB Evaluate 28y + 25z for y = 4 and z = 5. BBB View Solution
BBB Evaluate 153x + y + z for x = 4, y = 6 and z = 7. BBB View Solution
BBB The formula S = n (n + 1)2 is used to find the sum of the first n natural numbers. Find the sum of the first 14 natural numbers.
 BBB
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BBB In the figure, ΔACE is formed by blue (b), green (g), pink (p) and yellow (y) colored isosceles triangles. What is the perimeter of ΔACE? BBB View Solution