Creating Linear Equations, Inequalities, and Systems

Molly went shopping to buy jewelry. All of the earrings cost $15.25 and the necklaces cost $40.75. If she spends $127.25 and buys 5 items, how many necklaces and pairs of earrings did she buy? Write the system of equations. 

• _{e + n = 127.25
  15.25e + 40.75n = 127.25}
• _{e +  n = 5
  40.75e + 15.25n = 127.25}
• _{15.25e + 40.75n = 127.25
  e + n = 5}

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5

• y = 5x +20

• y=-5x + 20

• y = 5x - 20

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

• y = 4x + 1.50

• y = 1.50x + 4

• y = -4x +1.50

• y = 4x - 1.50

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation.

• y = - 2,000x + 30,000

• y = - 2,000x - 30,000

• y = 30,000x + 2,000

• y = -30,000x + 2,000

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x
• y = 100 + 30x
• y = 100x + 30
• y = 100x - 30

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Attorney A charges a fixed fee on $250 for an initial meeting and $150 per

hour for all hours worked after that.. Attorney B charges $150 for the initial

meeting and $175 per hour. Write an equation for each attorney and find the

charge for 26 hours of work for each attorney. Which is the better deal for 26 hours of work?

• Attorney A

• Attorney B

• Neither - they are the same price

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

• 7x + 13y < 81
• 7x + 13y ≥ 81
• 7x + 13y ≤ 81
• 7x + 13y > 81

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240
• x + 2y > 240
• x + 2y ≤ 240
• x + 2y ≥ 240

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Jim has $8 to spend on pizza. The slice is $4 and each topping is $0.50. Create an inequality to represent the number of toppings Jim can get if he only buys one slice of pizza.

• 4x + 0.50 ≥ 8
• .50x + 4 < 8
• 0.50x +4 ≤ 8
• 4x +0.50 ≤ 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

The room holds no more than 400 people. Which inequality represents the amount of people the room holds?

• P ≥ 400
• P ≤ 400
• P < 400
• P > 400

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8