multi-step equations

The goal of solving a one, two, or multi-step equations is to:

• Find the value of the variable

• Find the constant

• Be confused

• Find the coefficient

Tags

CCSS.7.EE.B.4A

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

5x - 22 = 3x - 4

• x = 3

• x = 9

• x = 13

Solve for k:

-5k + 10 = -2k - 14

• k=-8

• k= -4

• k=8

• k=4

What is the first step you should take to solve this problem?

-3 ( x - 2 ) = -8 + 9x

• add 8 to both sides

• subtract 9b from both sides

• Distribute -3 to the x and -2

2x + 3 ( 5x - 7 ) = 47

• x = 1

• x = 2

• x = 3

• x = 4

Jacob solved the following equation using the steps shown.

Step 1: 5x + 9 = 2x - 3

Step 2: 3x + 9 = -3

Step 3: 3x = -12

Step 4: x = -4

What operation did he perform to get

from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 

• 150x + 24 = 180 + 20x
• 150 + 24x = 180 + 20x
• 180 - 150 = 24 x + 20x
• 150 - 24x = 180 - 20x

Match the solution with the correct description.

• Null Set or No Solution

• 5 = -8

• All numbers solve the equation

• 12 = 12

• 1 solution

• X = -14

Does this equation have One, Many (infinite) or No Solution?

2(x - 3) = 10x - 6 - 8x

• One Solution

• Many (Infinite) Solutions

• No Solution

Answer explanation

The value on the left (2x - 6) is the exact same value as on the right side of the equal sign, so no matter the value of "x" - both sides will always be equal. This means there is an infinite number of solutions.