Two Variable Word Problems

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x+y≤300
  7.5x+5.5y≥2000

• x+y<300
  7.5x+5.5y≥2000

• x+y≤300
  7.5x+5.5y≤2000

• x+y>2000
  7.5x+5.5y≤300

Write the system of inequalities
Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair. 

• 10x+15y≤480
  45x+25y≥250

• 10x+25y≤200
  15x+45y≤480

• 10x+25y>200
  15x+45y<480

• 10x+25y≥200
  15x+45y≤480

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent no more than $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and did not exceed $165. How much could one shirt cost?

• $5

• $10

• $15

• $20

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

Suzy is buying In-N-Out Burger for lunch for her friends.  The hamburgers cost $3.50 each and the drinks cost $1.50 each.  She wants to spend no more than $30 on lunch.  What inequality represents the number of hamburgers, h, and number of drinks, d, that she can buy?

• 3.5h + 1.5d ≤ 30

• 3.5d + 1.5h ≤ 30

• 3.5h + 1.5d ≥ 30

• 3.5h + 1.5d < 30

Translate this sentence into an equation.
72 is the product of 8 and a Steve's age.
Use the variable h to represent Steve's age.

• 72 = 8 + h

• 72 = 8h

• 72 = 8 - h

• 72 = 8/h

Translate this phrase into an algebraic expression.
24 more than Vivian's test score. 
Use d to represent Vivian's test score.

• 24d

• d - 24

• d + 24

• d/24

Tags

CCSS.6.EE.A.2A

Translate this phrase intoan Algebraic expression.
57 more than 3 times Kate's score
Use the variable g to represent Kate's score.

• 57g + 3

• 3g - 57

• 3g + 57

• 57 - 3g

Tags

CCSS.6.EE.A.2A

WRITE AN EQUATION
Last Friday Trevon had $29. Over the
weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?

• 29+41=x

• 41-x=29

• x+29=41

• x-29=41

Tags

CCSS.HSA.CED.A.3