Practice formulating systems of equations

A system of equations is a set of _________ or more equations.

• 0

• 1

• 2

Tags

CCSS.HSF-BF.B.4A

A ________ is often used to represent an unknown value in an equation.

• variable

• number

• letter

• solution

Tags

CCSS.6.EE.B.6

A system of equations always has the same ___________ and ___________.

• equations and variables

• equations and solutions

• letters and numbers

• variables and solutions

Tags

CCSS.8.EE.C.8B

A __________ is a value that makes all equations in a system true.

• solution

• number

• variable

• letter

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• t = 9.65 + s

  t = 8.40 + s

• t = 9.65s + 43

  t = 8.40s + 58

• t =9.65s

  t = 8.40s

• 9.65 = s + 43

  8.40 = s + 58

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54

  t = 3n + 8

• t + n = 54

  n = 3t + 8

• t + n = 54

  t = 3n - 8

• 8 + 3t = n

  54 = 8t + 3n

Tags

CCSS.HSA.CED.A.3

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

• t: # of tacos

  m: # of glasses of milk

• t: Cost of each taco

  m: Cost of each glass of milk

• t: total cost

  m: # of food items

Tags

CCSS.8.EE.C.8C

On Monday Joe bought 10 cups of Coffee and 5 Doughnuts for his office at the (total) cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of Coffee and 10 Doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25

  5c + 10d = 16.50

• 10c + 5d = 16.50

  5c + 10d = 14.25

• c + d = 10

  5c + 10d = 16.50

Tags

CCSS.8.EE.C.8C

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out (all) the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels? (Hint: How much are the coins worth?)

• d + n = 6.60

  .10d + .05n = 80

• d + n = 80

  d + n = 6.60

• d + n = 80

  .10d + .05n = 6.60

Tags

CCSS.HSA.CED.A.3

Last season two running backs on the Steelers football team rushed a combined (both running backs) total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

• x + y = 1550

  y = 4x

• x + y = 1550

  y = x + 4

• y - x = 1550

  y = 4x

Tags

CCSS.8.EE.C.8C