Model and Solve One-Variable, Two-Step Equations

Solve for y:

2.5y = 5

• y = 2

• y = 2.5

• y = 7.5

• y = 12.5

The objective when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

Which equation has x=9 as a solution

• 4 + x = 12

• 5x = 45

• 2x = 20

• x + 7 = 26

Sam earns $4 per hour completing chores on the weekends. Last weekend, he earned $10. Use the model to determine x, the number of hours Sam worked last weekend.

• x = 10

• x = 2

• x = 2 1/2

• x = 6

8x ≥ -32

• x ≥ -4

• x ≥ 4

• x ≤ -4

• x ≥ 4

From this equation, name the variable. 3x=73x=7  

• 7

• 3

• -4

• x

8.9 + j = 12.8

• j = 21.7

• j = 1.4

• j = 3.9

• j = 4.1

Write an equation for the model above.

• x+3=−9

• 3x+1=9

• x−3=9

• 3x−1=9

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 distance Laurie traveled per hour.

• The time Laurie spent riding her bike.

• Not here

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 x can represent any value.

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

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