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45 Cards in this Set
- Front
- Back
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Translate the sentence into an equation: Fifteen more than a number times six is eleven less than a different number times two. |
15 + 6z = 2y - 11
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Translate the sentence into an equation: The quotient of a number and 3 is the same as a the same number less seven.
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b/3 = b - 7
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Translate the sentence into an equation: The product of a number and 17 is the same as the number squared and then increased by 3.
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Translate the equation into a sentence: 12 - 2x = -5
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Twelve minus two times a number equals the opposite of five.
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Translate the equation into a sentence: 12 - 3x = 6
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Twelve reduced by three times a number is six.
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A number cubed added to three-fifths is the same as two. |
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Tim's bank contains quarters, dimes, and nickels. He has three more dimes than quarters and 6 fewer nickels than quarters. If he has 63 coins, write and solve an equation to find how many quarters he has.
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x = number of quarters.
x + 3 = number of dimes x - 6 = number of nickels x + (x + 3 ) + (x - 6) = 63 3x - 3 = 63 3x = 66 x = 22 |
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Solve the equation: x - 11 = 34
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x = 45
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Solve for x: -1/3 + x = 2/3
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x = 1
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Solve for x: 5x = 25
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x = 5
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Solve for x: -3/4x = 15
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x = -20
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Solve for x: x/3 = -5/6
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x = -15/6 = -5/2
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An X-Men #1 comic book in mint condition recently sold for $45,000. An Action Comics #63 (Mile HIgh), also in mint condition, sold for $15,000.
1) Define a variable to determine the difference in selling price. 2) Write an equation using the variable from part 1. 3) Solve for how much more the X-Men comic book sold for than the Action Comics book. |
1) D = difference in price of the comic books.
2) D = $45,000 - $15,000 3) D = $30,000 |
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Solve for x: 2x + 18 = 12
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x = -3
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x = 62
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Show how to use algebra to find three consecutive integers that sum to -36.
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x = 1st number
x + 1 = 2nd number x + 2 = 3rd number x + (x + 1)+ (x + 2) = -36 3x + 3 = -36 3x = -39 x = -13 -13, -12, -11 |
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The cost of a bag of potatoes is $1.50 less than 1/2 the price of apples. Write and solve an equation to find the cost of potatoes if apples cost $6.99/bag.
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P = cost of potatoes
P = 1/2($6.99) - 1.50 P = $2.00 |
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Solve for x: 3x + 2 = 7x
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x = 1/2
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5a + 2 = 6 - 7a
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a = 1/3
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Name for when an equation is true for all values of the variable.
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Identity
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-2(3x - 2) = 4 - 6x
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x = infinite solutions
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2s + 5 = 2(s - 3)
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no solution
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8 = 4(r + 4)
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r = -2
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x = 4
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Solve the equation and graph the solution set.
|x + 3| = 6 |
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On a map the scale is 5 inches = 31 miles. What is the distance represented by 3 1/2 inches on the map.
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21.7 miles
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Evaluate the expression: 15 - |g + 9| for g = -5
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11
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Evaluate the expression: |3 - h| + 7 for h = 5
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9
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|x - 1| = 3
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For a company to invest in a product, they must believe they will receive a 12% return on investment (ROI) plus or minus 3%. Write an equation to find the least and the greatest ROI they believe they will receive.
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|x - 12| = 3; x = 9% or x = 15% |
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yes, they are equivalent.
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No, these are not equivalent.
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Solve the equation and graph the solution set:
|a + 1| = 5 |
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x = 2
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Mrs. B can run 3 miles in 31 minutes. If she could maintain this pace how long would it take her to run a marathon which is 26.2 miles?
1) Give your answer in minutes 2) Convert your answer to hours |
1) 270.73 minutes
2) 4.5 hours |
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Solve the equation and graph the solution set.
|3 - 2r| + 4 = 11 |
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r = 17/3 |
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Solve for h: 13n + 4f = 9v |
h = (9v - 4f)/13 |
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p = 5r - q |
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Solve the equation for g: 7h + f = 2h + g |
5h + f = g |
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A car's fuel economy (E) is given by the formula E = m/g where m is the number of miles driven and g is the number of gallons of fuel. Solve the formula for m.
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m = Eg
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Mrs. B went to Guatemala. The currency there is quetzal. $1 dollar equals 7.8 quetzal. If Mrs. B took $125 on her trip. How many quetzals does that represent?
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975 quetzals
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Mrs. B returned from her trip to Guatemala with 120 quetzals. The exchange rate is $1 dollar = 7.8 quetzals. How much does this amount represent in dollars?
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$15.38
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How many cm are in 2 feet?
1 inch = 2.54 cm 12 inch = 1 foot |
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Solve for w: w(6 - x) = 22 |
w = 22/(6 - x) |
