Equations Inequalities

Solve the equation:
7x - 4 = 3 + 8x

• x = 7
• x = -7
• x = 2/7
• x = 11

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Write an equation to determine how many blinds would need to be installed for the price to be equal.

• 25 + 5x = 30 + 4x
• 25 - 5x = 30 - 4x
• 30 - 25 = 4x + 5x
• 25x + 5 = 30x + 4

Tags

CCSS.8.EE.C.7B

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 

• 125 - 100 = 45x + 30x
• 100x + 45 = 125x + 30
• 100 + 45x = 125 + 30x
• 100 - 45x = 125 - 30x 

What inequality symbol is used in:
384 + 2x < 6x?

• Greater Than
• Less Than
• Greater Than or Equal To
• Less Than or Equal To

The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

• 80+9.50x > 120+7.50x
• 80+9.50x < 120+7.50x
• 80x+9.50 > 120x+7.50
• 80x+9.50 < 120x+7.50

Tags

CCSS.7.EE.B.4B

Select the situation that could be modeled by: 2x + 4 = 3x

• The number of students in the 2-year-old class and the 4-year-old class equals the number of students in the 3-year-old class. How many students are in each class?
• Cade bought 2 books for $4 each and Clara bought 3 books. How much did Clara pay?
• Dean is 4 more than twice his brother’s age. He is also 3 times his brother’s age. How old is Dean’s brother?

Select the situation that could be modeled by: 12 + 5x = 18+3x

• Derek charges a base fee of $12 to walk a dog plus $5 per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?
• Andy buys 12 sodas for $5 each. Alex buys 18 sodas for $3 each. If they each spent the same amount, how much did they spend?
• Brian charges $12 for a hat and $5 per shirt. Blake buys 3 hats and 18 shirts. How many hats and shirts must they sell to make the same amount of money?

Solve the equation.

• v = 72

• v = .5

• v = ¹/₂

• v = 2

Tags

CCSS.6.EE.B.7

Solve the equation. Check your solution.

• -90
• 90
• -40
• -180

Tags

CCSS.6.EE.B.7

Ms. Hernandez is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each child ticket. Ms. Hernandez does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase?

• 7 + 10c > 40

• 10c – 7 ≤ 40

• 10 + 7c > 40

• 10 + 7c ≤ 40

Tags

CCSS.7.EE.B.4B