| A | B |
|---|
| 5x - x + 2x | 6x |
| 0.2z - 4.6x - 7.4z | -4.6x - 7.2z |
| 3(w + 2) - (12 - w) | 4w - 6 |
| Subtract 7x - 2 from x + 5. | -6x + 7 |
| Subtract 1.4y - 3 from y - 0.7 | -0.4y + 2.3 |
| Three times a number decreased by 7. (Write into algebraic expressions) | 3x - 7 |
| Twice the sum of a number and 2.8 added to 3 tiems a number. (Write into algebraic expression) | 2( x + 2.8) + 3x |
| 8x + 4 = 9x | 9 |
| 5y - 3 = 6y | -3 |
| 3x - 5 = 4x + 1 | -6 |
| 2x - 6 = x - 6 | 0 |
| 4(x + 3) = 3(1 + x) | -9 |
| 6(3 + n) = 5(n - 1) | -23 |
| Write in algebraic expression. The sum of two numbers is 10, express the other number in terms of x. | 10 - x |
| Mandy is 5 inches taller than Mellisa. If x inches represents the height of Mandy, express Melissa's height in terms of x. (Write in algebraic expression) | (x - 5) in. |
| -3x + 4 = 19 | -5 |
| 5x + 60 = 20 | -8 |
| 5x + x = 9 + 4x -1 + 6 | 7 |
| -y + 4y = 7 - y - 3 - 8 | -1 |
| Express the sum of three even consecutive integers as an expression in x. Let x be the first even integer. | 3x + 6 |
| -(5x + 1) = -7x + 3 | 2 |
| -4(2x + 1) = -5x +5 | -3 |
| -6(2x - 5) = -3(9 + 4x) | No Solution |
| 3(8y - 1) = 6(5 + 4y) | No Solution |
| 5(2n - 3) - 1 = 4(6 + 2n) | 20 |
| -2(4y - 3) + 4 = 3(5 - y) | -1 |
| 9z - z + 1 = 6(z - 1) + 7 | 0 |
| 5t - 3 - t = 3(t + 4) - 15 | 0 |
| 200(70x - 3560) = -179(150x - 19,300) | 102 |
| 1.75y - 0.04y = 0.42 | 0.25 |
| The quotient of a number and 3 is the same as the difference of the number and two. Find the number. | 3 |
| Double the sum of a number and six is the opposite of the number. Find the number | -4 |
| The height of the Eiffel Tower is 68 feet more than three times a side of its square base, If the sum of these dimensions is 1380 feet, find the height of the Eiffel Tower. | 1052 ft |
| A 12-foot board is to be divided into two pieces so that one piece is twice as long as the other. If x represents the length of the shorter piece, find the length of each piece. | 4 ft and 8 ft |
| One area code in Ohio is 34 more than 3 times another area code used in Ohio. If the sum of these area codes is 1262 find the two area codes. | 307 and 955 |
| Find three consecutive even intergers whose sum is -114. | -40, -38, -36 |
| The heighest temperature on record in Rome, Italy is 104 degrees Fahrenheit. Convert this temperature to Celsius. | 40 degrees C |
| A cherity 10K race is given annually to benefit a local hospice organization. How long will it take to run/walk a 10K race (10 kilometers or 10,000 meters) if your average pace is 125 meters per minute? | 1 hr and 20 min. |
| A $50,000 retirement pension is to be invested into two accounts: a money market fund that pays 8.5% and a certificate of deposit that pays 10.5%. How much should be invested at each rate in order to provide a yearly interest income $4550? | $35,000 @ 8.5%; $15,000 @ 10.5% |
| A pay phone is holding its maximum number of 500 coins consisting of nickels, dimes, and quarters. The number of quarters is twice the number of dimes. If the value of all coins is $88.00, how many nickels were in the pay phone? | 80 nickels |
| How long will it take an AmTrak passenger train to catch up to a freight train if their speeds are 60 and 45 mph and the freight train had an hour and a half head start? | 4.5 hours |
| In 2003, Lance Armstrong became the 4th cyclist in history to win the Tour de France 5 years in a row. Suppose he rides a bicycle up a mountain trail at 8 mph and down the same trail at 12 mph. Find the round-trip distance traveled it the total time was 5 hours. | 48 mi |
| Tina earns $175 per week plus a 5% commission on all her sales. Find the minimum amount of sales to ensure that she earns at least $300 per week. | $2500 |
| Ellen Catarella shot rounds of 76, 82, and 79 golfing. What must she shoot on her next round so her average will be below 80? | Score must be less than 83. |
| A number increased by two-thirds of the number is 35. Find the number | 21 |
| A gallon of water seal covers 200 square feet. How many gallons are needed to paint two coats of water seal on a desk that measures 20 feet by 35 feet? | 7 gal |
| Find the value of x if y = -14, m = -2, and b = -2 in the formula y=mx+b. | x = 6. |
| Sedric Angell invested an amount of money in Amoxil stock that earned an annual 10% return, and then he invested twice the original amount in IBM stock that earned an annual 12% return. If his total return from both investments was $2890, find how much he invested in each stock. | $8500 @ 10%; $17,000 @ 12% |
| 2y - 6 - y - 4 | y - 10 |
| 7 + 2(5y - 3) | 10y + 1 |
