Equations

An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.

Select all the combinations of necklaces and bracelets that the artist could sell for exactly $12.00.

• 5 necklaces and 1 bracelet

• 2 necklaces and 5 bracelets

• 3 necklaces and 3 bracelet

• 4 necklaces and 2 bracelets

• No necklaces and 8 bracelets

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25.

Select all the values (d,n) that could be solutions to the equation.

• (0,445)

• (0.50,435)

• (233,21)

• (118,209)

• (172,101)

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.C.9

Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation 4c+6v=80 describes the relationship between the number of cars, c, and number of vans, v, that can transport exactly 80 students.

Select all statements that are true about the situation.

• If 12 cars go, then 2 vans are needed.

• c=14 and v=4 are a pair of solutions to the equation.

• If 6 cars go and 11 vans go, there will be extra space.

• 10 cars and 8 vans isn’t enough to transport all the students.

• If 20 cars go, no vans are needed.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.C.9

The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup fee of $40. There are 21 students in the drama club.

If there are 21 students in the club and the t-shirt order costs a total of $187, how much does each t-shirt cost?

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Kiran’s family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran’s family, there will be 10 people at the gathering.

A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99. Let n represent number of people watching the football game, s represent the ounces of sparkling water, p represent the ounces of pretzels, and b represent Kiran’s budget in dollars. Which equation best represents Kiran’s budget?

• $12s+3p=b$

• $12\cdot10+3\cdot10=b$

• $1.5s+2.99p=b$

• $1.50\cdot6+2.99\cdot2=b$

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

A donut shop made 12 dozen donuts to give to a school’s math club.

Which expression represents how many donuts each student would get if the donuts were equally distributed and there were x students in math club?

• $\frac{x}{12}$

• $\frac{12\cdot12}{x}$

• $\left(12\cdot12\right)\cdot x$

• $12\cdot12$

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.RP.A.3