Equations & Inequalities with Variables on Both Sides

In the equation: 120x + 32 = 54 - 3x, what is 120?

• Coefficient
• Constant
• Variable

Tags

CCSS.6.EE.A.2B

In the equation: 6x - x = 32 + 2x, what is 32?

• Constant
• Coefficient
• Variable

Tags

CCSS.6.EE.A.2B

Write an equation to represent: three times a number minus two is the same as the number plus ten.

• 3x - 2 = x + 10
• 2 - 3x = x + 10
• 3x - 2 = 10x
• 2x - 3 = x + 10

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Select the situation that could be modeled by: 120 + 25x = 45x.

• John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?
• George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?
• Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Select the situation that could be modeled by: 8 + 4x = 12 + 3x.

• Winnie bought a family meal with 8 burgers and 4 fries. Wilson bought a family meal with 12 burgers and 3 fries. If they each paid the same amount, how much did they spend?
• Team A runs 8 drills that a 4 minutes each. Team B runs 12 drills that are 3 minutes each. Which team practices longer?
• The basketball team currently has 8 players and is growing by 4 players each month. The volleyball team has 12 players and is growing by 3 players each month. After how many months will they have the same number of players?

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

In the equation: 100 - 6x = 160 - 10x, what is x?

• Constant
• Coefficient
• Variable

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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?

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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?

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

The school board is selling pizzas for
$7 each to raise money for new
uniforms. The supplier charges $100
plus $4 per pizza. How many pizzas
does the school board need to sell to
make a profit?
(HINT: Write the equation & then solve.)

• 33
  
• 100
• 15

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Which inequality represents the following problem:
The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for instillation and $7.50 per square yard of carpet. Find the number of square yards of carpet for The Rug Store charges 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