Solving Algebraic Equations

Solve the equation below:

• k = 152

• k = 176

• k = 5

• k = 27

Which equation has x = 5 as the answer?

• x + 15 = 10

• 2x = 5

• 2x = 10

• 2x - 3 = 15

-4x + 1 = 21

• x=120
• x=5
• x=30
• x=-5

3x - 5 = -26

• x=-21

• x=21

• x=-7

• x=61

Solve: 3(x-4) = -3

• 3
• -3
• 5
• -5

Janet wants to rent a U-Haul to move her mother. She spends $225 for the move. The U-Haul costs $45 up front and $1.50 a mile. What equation would you use to solve the number of miles her mother moved?

• 225 = 45x + 1.5

• 45 + 1.5x = 225

• 45x + 1.5x = 225

• 225 = 45(1.5) + 1.5x

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12
• 12 + 8t = 1500
• 1500 + 8t = 12t
• 8t = 12t + 1500

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides
• Add the 2a and a 
• Distribute 4 to a and -5
• Distribute -4 to a and -5

8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4