Equations with Rational Numbers

Solve for x.

38 - 4x = 6x - 12

• x = 5

• x = - 5

• x = 10

• x = 50

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x.

12x - 12 = 8x + 2

• x = 4.5

• x = 3.5

• x = 5.5

• x = -6

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x.

 $\frac{1}{4}x\ -\ 6\ =\ \frac{1}{2}x-8$  

• x = 8

• x = -8

• x = 4

• x = -4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x.

 $\frac{1}{3}x\ +\ 45\ =\ 4x\ -\ 10$  

• x = 15

• x = 50

• x = 25

• x = 3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

 $6\ +\ \frac{4}{5}x\ =\ \frac{9}{10}x$  

• x = 60

• x = 6

• x = 30

• x = 54

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

2.25x + 5 = 13.5x + 14

• x = -0.8

• x = 1.8

• x = 2.1

• x = -0.2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Sandy is upgrading her Internet service. Fast Internet charges $60 for installation and $50.45 per month. Quick Internet has free installation but charges $57.95 per month. The equation below represents the situation. After how many months would it cost the same?

60 + 50.45x = 57.95x

• x = 8

• x = 7

• x = 10

• x = 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.11

Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $24. At another store she can borrow the tile saw for free if she buys tiles there for $1.19 per tile. How many tiles must she buy for the cost to be the same at both stores?

• 60 tiles

• 50 tiles

• 70 tiles

• 86 tiles

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

42x + 7 = 58x - 17

• x = 1.5

• x = 0.5

• x = - 2

• x = 3.5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Chad had $70 in his savings account. Brad started with nothing.

- Chad deposited $20 each week for x weeks into his account

- Brad deposited $25 each week for x weeks into his account

After how many months would they have the same amount of money?

• 14 months

• 18 months

• 4 months

• 12 months

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6