Solving Inequality and Equation Word Problems with the Variable on Both Sides

Solve: -5x + 13 = -(2x - 1)

Mathematical Equivalence

ON

8g − 5g − 4 ≤ -3 + 3g

• g ≤ 0

• g ≤ 1

• All Real Numbers

• No Solution

What is the solution to 10 − 3(m − 5) = 2(5 − m)? Record your answer in the space provided.

Mathematical Equivalence

ON

Tags

A1.3.5.A

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

9 + 2a = -3 - 4a (a)  

• a = -2

• a = 2

• a = 5

• a = -1

Solve and graph the inequality.

• A

• B

• C

• D

Solve

• 5

• 2

• No Solution

• Infinitely Many Solutions

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

• x < 1
• x < -1
• x > 1
• x > -1

Kaylee can make $24 per hour by tutoring. Quinn can make $18 per hour by tutoring. Kaylee already has $10. Quinn already has $40. How many hours, x, would it take Kaylee to have a greater amount of money than Quinn?

​ (a)   X ​ (b)   ​ (c)   ​ (d)   X ​ (e)  

< or > or =

• 24

• +10

• >

• 18

• +40

• <

• -24

• -10

• -18

• -40