Equations & Inequalities Algebra I

Solve.
x/3 = 11

• x = 8
• x = 33
• x = 12
• x = 32

Tags

CCSS.6.EE.B.7

Solve.
(2x - 3) / 4  = 9

• x = 24
• x = 12
• x = 17.5
• x = 19.5

Tags

CCSS.7.EE.B.4A

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

Solve the equation:
3x - x + 2 = 4(2x - 1)

• infinite solutions
• x = 1
• x = -1
• no solution

Tags

CCSS.8.EE.C.7A

Describe the solution set:
2(x + 5) = 2x + 5

• one solution
• no solution
• infinitely many solutions
• two solutions

Tags

CCSS.8.EE.C.7A

Solve the equation:
4 - 6x - 2= -2(3x-1)

• no solution
• infinitely many solutions
• x = ⅓
• x = 4

Tags

CCSS.8.EE.C.7A

Pristine House Cleaners charges $19.85 plus $32 a room. Sparkle House Cleaners charges $61.85 plus $18 a room. Write and solve an equation to find the number of rooms for which the total cost of both house cleaners is the same.

• 4 Houses

• 1/3 Houses

• 3.5 Houses

• 3 Houses

Tags

CCSS.7.EE.B.4A

Match the inequality to the word problem.
Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200
• 25 + 12x ≥ 200
• 13x ≥ 200
• 25 + 12x > 200

Tags

CCSS.7.EE.B.4B

Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to no more than $65?

• 10x + 65 ≥ 40
• 4x + 10 ≤ 65
• 4x - 10 ≤ 65
• 65 + 4x ≥ 40

Tags

CCSS.7.EE.B.4B

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. How far can she go?

• 1.75 + 0.65m < 10
• 1.75 + 0.65m > 10
• 1.75m + 0.65 < 10
• 1.75m + 0.65 > 10

Tags

CCSS.7.EE.B.4B