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Solving Two-Step Equations
Solving Two Step Inequalities
Word Problems
100
3x + 5 = 20
x = 5
100
4x + 5 ≤ 13
x ≤ 2
100
The Johnson family budgets a maximum amount of $124 for a camping trip. Mr. Johnson already spent $40. How many people x can go boating if the cost is $21 per person? A. 21x + 40 ≥ 124 B. 21x + 40 ≤ 124 C. 21x + 40 > 124 D. 21 + 40x ≤ 124
B. 21x + 40 ≤ 124
200
-9x - 6 = 12
x = -2
200
9 - 3x > 12
x < -1
200
A community needs to raise at least $5,000 for a new park. They have raised $1,250 so far and are selling flowers for $20 each. How many flowers x do they need to sell to raise at least $5,000? A. 1,250 + 20x < 5,000 B. 1,250 + 20x ≤ 5,000 C. 1,250 + 20x ≥ 5,000 D. 1,250x + 20 ≥ 5,000
C. 1,250 + 20x ≥ 5,000
300
5 - x = 25
x = -20
300
-4 - x ≤ 5
x ≥ -9
300
Mike wants to buy new clothes for $145. He has already saved $50. He gets $20 for each lawn that he mows. What equation shows how many lawns Mike must mow in order to have enough money for his new clothes? A. 50x + 20 = 145 B. 20 - 50x = 145 C. 20x + 50 = 145 D. 20x - 50 = 145
C. 20x + 50 = 145
400
(x/8) - 3 = 2
x = 40
400
(x/8) - 1 < 9
x = 80
400
Which word problem could NOT be represented by the equation 600 - 30w = 250? A. Steven wants to have $250 in his savings. He begins with $600 in his account. If he withdraws $30 weekly, how many weeks can Steven withdraw money to meet his budget? B. Derek has no more than $250 in his checking account. If he deposits $30 a week and gets a bonus of $600, how many weeks will it take to have more than $600? C. Kevin has $600 in his account. If he withdraws $30 a week, how many weeks can Kevin withdraw money before his account balance is $250? D. Eric opens a bank account with a fee of $600. He needs $250 remaining in his account. If he transfers $30 each week, how many weeks will it be before Eric reaches an account balance of $250?
B. Derek has no more than $250 in his checking account. If he deposits $30 a week and gets a bonus of $600, how many weeks will it take to have more than $600?
500
2.50x + 3.50 = 21
x = 7
500
-9x + 3 > 3
x < 0
500
Which real world problem is modeled by the equation 5x + 8 = 30.5? A. Asra buys 8 pounds of peanuts and 5 pounds of almonds. She spent $30.50 in all. What is the price per pound of the peanuts? B. Kate runs the same number of miles every weekday. On Saturdays she runs 8 miles and she does not run on Sundays. In one week she ran 30.5 miles. How many miles does Kate run each weekday? C. Jillian bowls 8 games. She rents shows for $5. She spent $30.50 in all. How much does each game cost? D. Shari bought a ticket to a baseball game for $5 and a hot dog and a drink for $8. In all, she spent $30.50 at the ballgame. How much did she spend on parking?
B. Kate runs the same number of miles every weekday. On Saturdays she runs 8 miles and she does not run on Sundays. In one week she ran 30.5 miles. How many miles does Kate run each weekday?