Solving Equations Review

What is the best first step to solve this equation

5 (x-4) + 3x -2 = 4 (2x-1)

• Subtract 3x

• Combine Like Terms

• Distribute the 5 & 4

• Add 2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x

6 (x-1) = 6

• x = 2

• x = -2

• x = 7

• x = -7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Write an equation

John and Mary decide to race. John has a 300 ft head start, and runs at a pace of 250ft per minute. Mary runs at a pace of 400 ft per minute. How long before Mary catches up to John?

• 250 + 300m = 400

• 300m + 400 = 250m

• 250 + 400m = 300m

• 300 + 250m = 400m

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

Solve for x

2x - 12 = -5x +4x

• x = 3

• x = 4

• x = -3

• x = -4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Write an equation

A bucket filled with 300oz of water is poured into an empty bucket at a rate of 7oz per second. How long before both buckets have the same amount of water?

• 300x - 7 = 0

• 300 - 7x = 7x

• 7x = 300 - 7

• 7x - 7x = 300

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Simplify

1/3 (6x + 9y - 15)

• 6x + 9y - 15

• 2x + 3y + 5

• 3x + 3y - 3

• 2x + 3y - 5

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Combine Like Terms

3a + 5b - 3 + 2 (a-4) - b

• 5a + 4b - 11

• 4a + 6b - 7

• 6b - 11

• 5a + 6b + 5

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Write & solve an equation

Bowman had 30 pieces of candy and gave away x pieces. Rose started with 40 pieces of candy and gave away twice as many pieces as Bowman. How many pieces did Bowman give away if they ended up with the same amount of candy left?

• 40 + 2x = 30 + x

  x= 3

• 30 - x = 40 - 2x

  x= -10

• 30 - 2x = 40 - x

  x= 3

• 30 - x = 40 - 2x

  x= 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for x

12 = -4 (-6x - 3)

• x = 2

• x = 0

• x = -2

• not possible

Tags

CCSS.HSA.REI.B.3

• Subtract 6

• Subtract 10

• Multiply by 5

• Divide by 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3