TEST: Equations & Inequalities - Solving & Word Problems

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472
• 9x=472
• 4+9x=472
• 4+x=472

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35
• .50x = 35
• .50 + 20x = 35 
• .50x - 20 = 35

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Tags

CCSS.HSA.REI.B.3

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100
• 5x - 100 ≥ 10
• 10x + 5 ≤ 100
• 5x + 10 > 100

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500
• 500 + 25x ≥ 200
• 500 - 25x ≥ 200
• 500 - 25x ≤ 200

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve:

• 22/5

• 5/22

• 22/15

• 11/4

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Which of the following setups would be used to find four consecutive integers?

• n
  n+2
  n+4
  n+6
• n
  2n
  4n
  6n
• n+1
  n+2
  n+3
  n+4
• n
  n+1
  n+2
  n+3

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?

• 18 miles
• 20 miles
• 22 miles

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Solve the equation, if possible.
  $2a-6\left(a-4\right)=\ -4$  

• 7

• identity

• 0

• -5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3