Name______Period: ______
WORD PROBLEMS PRACTICE
Represent each of the following as an algebraic expression.
1) Three more than a number
2) Four less a number
3) Twice a number increased by 5
4) Five times a number decreased by 4
5) The product of 6 and some number
6) The quotient of 5 and a number
7) The product of 5 and a number increased by 2
8) The sum of 7 and twice a number
9) Five less than the product of 4 and a number
10) The square of a number decreased by 1
11) Twice the sum of 4 more than a number
12) 5 times the difference of 7 and a number
13) Five times the quantity of 8 less than a number
Represent each of the following as an algebraic equation or inequality.
14) The product of x and 2 is the same as 3 more than x
15) The quotient of x and 4 is at most 30
16) the sum of 5x and 2x is at least 14
17) the product of x and y is less than or equal to 4
18) 5 less than a number y is under 20
Define your variable. Set up an equation or inequality to solve.
19) If 5 times a number is increased by 4, the result is at least 19. Find the least possible number that satisfies these conditions.
20) The sum of twice a number and 5 is at most 15. What are the possible values for the number?
21) Six times an integer decreased by 8 is no more than the integer increased by 4. Find the greatest possible integer.
22) Sandy bought a soft drink for $3 and 4 candy bars. She spent a total of $11. How much did each candy bar cost?
23) Two-thirds of a number plus 5 is 12. Find the number.
24) The sum of a number and 81 is greater than the product of 3 and that number. What are the possible values for the number?
25) Mike bought 6 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 34 cards left. How many cards did Mike start with?
26) Four times a number is greater than 48. What is the least possible value for the number?
27) The quotient of a number and 15 is no greater than 450. What are the possible values for the number?
28) Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, how much did each friend pay not including the tip?
29) Jason is saving up to buy a digital camera that costs $490. So far, he saved $175. He would like to buy the camera 3 weeks from now. How much must he save every week to have enough money to purchase the camera?
30) Adrian works in New York City and makes $42 per hour. She works in an office and must get her suit dry cleaned every day for $75. If she wants to make more than $260 a day, at least how many hours must she work?
31) Which statement is modeled by 2p + 5 < 11?
A. The sum of 5 and 2 times p is at least 11.
B. Five added to the product of 2 and p is less than 11.
C. Two times p plus 5 is at most 11.
D. The product of 2 and p added to 5 is 11.
32) Which is NOT a solution of the inequality 5 2x 3?
(A) 0 (B) 2 (C) 4 (D) 5
33) Which statement can be modeled by x + 3 12?
A. Sam has 3 bottles of water. Together, Sam and Dave have at most 12 bottles of water.
B. Jennie sold 3 cookbooks. To earn a prize, Jennie must sell at least 12 cookbooks.
C. Peter has 2 baseball hats. Peter and his brothers have fewer than 12 baseball hats.
D. Kathy swam 3 laps in the pool this week. She must swim more than 12 laps.
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