Model One-Step Algebraic Equations

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3

Solve for p:

6p - 5 =13

• 12

• 15

• 3

• -3

What is the first step in solving this equation:
5x + 7 = 12

• Divide by 5

• Subtract 5

• Multiply by 7

• Subtract 7

Solve for y:

2.5y = 5

• y = 2

• y = 2.5

• y = 7.5

• y = 12.5

Write the equation for the model.

• 10=2-x

• -10=-x+2

• -10=x-2

• -10=x+2

Write the equation for the model. (white square=1 rectangle=x red square = -1)

• 7=x+3

• 7=x+(-3)

• 7=-x+3

• -7=x-3

Write the equation for the model.

• 7 = x + 3

• 7 = x + (-3)

• 7 = (-x) + 3

• (-7) = x - 3

Solve for k:
3k + 5 = 23

• k = 4

• k = 5

• k = 6

• k = 7

Greg wrote in his math journal that 17 - x = 9 is an example of an algebraic equation. Which statement is true about the example Greg wrote in his math journal?

• Greg's example is an equation because there is a variable present.

• Greg's example is an equation because it is a number sentence stating two amounts are equivalent.

• Greg's example is an equation because x can represent any value.

• Greg's example is an equation because there are two numbers present.

Laurie rode her bike 17.5 miles in 2 hours. She uses this equation to represent the relationship between her time and distance. 2x = 17.5 What does the solution x= 8.75 represent?

• The distance Laurie rode her bike.

• The time Laurie spent riding her bike.

• The distance Laurie traveled per hour.

• Not here