Equations & Inequalities Review

x ≥ 44

Jose has scored 562 points on his math test so far. He needs to score at least 650 points for an A. He has two test left. What does he need on average for the two remaining tests?

2x + 562 ≥ 650

Jose has scored 562 points on his math test so far. He needs to score at least 650 points for an A. He has two test left. Write an inequality to represent what he needs on average on his remaining tests.

x = 17

Kristin won 59 super bouncy balls at her school's carnival. Later she gave three to each person in her math class. She only has 3 left. How many people are in her math class?

3x + 8 = 59

Kristin won 59 super bouncy balls at her school's carnival. Later she gave three to each person in her math class. She only has 8 left. Write and equation to represent the situation.

x ≤ 15

Manny needs to buy 2 work shirts. He also needs to buy a pair of gloves for $20. He has $50 to spend. How much can he spend on each shirt.

2x + 20 ≤ 50

Manny needs to buy 2 work shirts. He also needs to buy a pair of gloves for $20. He has $50 to spend. Write an inequality to represent this situation.

x = 10

Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?

250 + 15x = 200 + 20x

Nilda has $250 in her savings account. She plans to save $15 per week from her salary. Iona has only $200 in her account but can save $20 a week from her paycheck. What equation represents the situation?

x ≤ 28

x/14 + 8 ≤ 10

x = -6

9x - 7 = -61

x ≥ 15

-100 ≥ -7x + 5

x ≥ 14

-27 ≥ 1 - 2x

x = -11

10x - 10 = -120

x = -8

16 + 8x = 5x - 8

x = 3

2 + 2x = 4x - 4

x = -14

4 + k/7 = 2

x = 16

5x - 9 = 71

x = 1

7x = -7(-6x + 5)

x < 13

During a scuba dive, Lainey descended to a point 20 feet below the surface. She continued her dive at 10 feet per minute. If she needs to stay below 150 feet, how many minutes can she continue her dive?

20 + 10x < 150

During a scuba dive, Lainey descended to a point 20 feet below the surface. She continued her dive at 10 feet per minute. She needs to stay below 150 feet. Write an inequality to represent this situation.

4x - 6

P = 12x + 8, one side = 2x + 10, what is the length of the other side?

3x - 7

P = 16x + 12, one side = 5x + 13, what is the length of the other side?

6x + 2

P = 18x + 6, one side = 3x + 1, what is the length of the other side?

4x - 2

P = 24x - 12, one side = 8x - 4, what is the length of the other side?

x = 14

Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with with $570 and withdrew $25 weekly. How many weeks will it take for them to be the same?

710 - 35x = 570 - 25x

Pedro opened his account with $710 and withdrew $35 per week. Maria opened her account with with $570 and withdrew $25 weekly. What equation represents the situation for when they will be the same amount?

x = 300

Prestige Car Rentals charges $44 per day plus 6¢ per mile to rent a mid-sized vehicle. Gateway Auto charges $35 per day plus 9¢ per mile for the same car. For what number of miles will both companies charge the same price?

44 + 0.06x = 35 + 0.09x

Prestige Car Rentals charges $44 per day plus 6¢ per mile to rent a mid-sized vehicle. Gateway Auto charges $35 per day plus 9¢ per mile for the same car. What equation represents the situation?

x = 7

Scott rented a bike from Mike's bike shop. It is $11 plus $2 per hour. He spent $25. How many hours did he rent the bike?

11 + 2x = 25

Scott rented a bike from Mike's bike shop. It is $11 plus $2 per hour. He spent $25. Write an equation to represent the situation.

x = 5

Scott's Bikes rents bikes for $18 plus $3 per hour. Ryan paid $33 to rent a bike. How many hours did Ryan rent the bike?

18 + 3x = 33

Scott's Bikes rents bikes for $18 plus $3 per hour. Ryan paid $33 to rent a bike. Write an equation to represent the situation.

7x - 4

Simplify: 1/2 (14x - 8)

7x - 5

Simplify: 1/3 (21x - 15)

7x + 12

Simplify: 1/4 (28x + 48)

4x - 18

Simplify: 10x - 3(2x + 6)

6x + 6

Simplify: 3(2x + 5) - 9

-4x + 44

Simplify: 8 - 4(x - 9)

x = 2

Solve: -3x + 6(r - 8) = -28 - 7x

x = -5

Solve: -7(-3x - 6) = 7x - 28

x = 5

Solve: 6 - 6x = -5x + 1

x = -4

Solve: 7x + 3 = -13 + 3x

x ≤ 8

Solve: x/4 + 6 ≤ 8

x > 30

The 30 members of a club are trying to raise more than $1500 to go on a trip. They already have $600. How much does each person need to raise?

30x + 600 > 1500

The 30 members of a club are trying to raise more than $1500 to go on a trip. They already have $600. Write an inequality to represent how much more each person needs to raise.

x = 8

The Magic Carpet charges $90 for installation and $8 per square yard of carpeting. The Carpeteria's installation price is $50 but the store charges $13 for each square yard. For what number of square yards of carpeting will the cost, including installation, be the same for both stores?

90 + 8x = 50 + 13x

The Magic Carpet charges $90 for installation and $8 per square yard of carpeting. The Carpeteria's installation price is $50 but the store charges $13 for each square yard. What equation represents the situation?

x = 3

You bought a magazine for $5 and four erasers. You spent a total of $17. How much was each eraser?

5 + 4x = 17

You bought a magazine for $5 and four erasers. You spent a total of $17. Write an equation to represent the situation.

x = -2

x + 38 = -6(4x + 2)