Model and Solve One-Variable, Two-Step Equations and Inequalities

When graphing an inequality, you use a closed circle when you use which symbols?

• ≤, ≥

• <, >

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.

Choose the best inequality that represents the situation.

• 250 + 175 = 50x + 65x

• 250 + 50x ≥ 175 + 65x

• 250 + 50x > 175 + 65x

• 175 + 65x ≥ 250 + 50x

Solve the following for x:  0.4x+1.6=-1.6x+53.2

• 25.8

• -25.8

• 27.4

• 54.8

The equation below represents the amount of fees charged by two companies.
20 + 1.20v = 5 + 4v
Which scenario best describes the fees charged when v represents the number of miles.

• GO charges $1.20 per mile.  MILA charges $4 per mile.

• GO charges $20 per mile and a renting cost of $1.20.  MILA charges $5 per mile and a $4 renting cost.

• GO charges $1.20 per mile and a renting cost of $20.  MILA charges $4 per mile and a $5 renting cost.

• GO charges $1.20 per mile and a renting cost of $20.  MILA charges $5 per mile and a $4 renting cost.

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

Solve for x:

-7x-36=20-3x

• x=14

• x=-14

• x= 11

• x= -5

Write the equation for the model.

• 3x - 7x = 2x + 5x

• 3x + 5 = 2x - 7

• 3x - 7 = 2x + 5

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 120 miles

• 100 miles

• 110 miles

• 150 miles