Systems of Equations A.2I and A.5C Review

Systems of Equations A.2I and A.5C Review

Friday, January 7th

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Multiple Choice

Table (hint: you can use the calculator)

Which systems of equations is represented by the table?

Multiple Choice

Which is the best method to use for this problem?

y = 6x − 11

−2x − 3y = −7

• Graphing

• Substitution because a variable is isolated.

• Elimination because both equations are in standard form.

Multiple Choice

Solve using Substitution:

Remember (x,y) is the correct order

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Multiple Choice

What is the solution to this system? Solve using substitution.

x= 7 - 2y

2x + y = 5

• (-1,4)

• (4,-1)

• (1,3)

• (3,1)

Multiple Choice

Solve using elimination.

Remember (x,y) is the correct order

4x + 8y = 20

-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Multiple Choice

Solve the system using elimination.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Multiple Choice

Graph

A system of equations is graphed. What is the system of linear equations that is shown on the graph?

• 3x – 5y = 10

  x – 4y = 12

• 3x – 5y = 10

  x + 4y = 12

• 3x + 5y = 10

  x + 4y = 12

• 3x + 5y = 10

  x – 4y = 12

Multiple Choice

Graph

A system of equations is graphed. Which system of two linear equations in two variables best represents the graph?

• 4x + 6y = 4

  8x + 2y = 48

• -4x – 6y = -4

  8x – 2y = 48

• 4x – 6y = -4

  8x + 2y = 48

• Not here

Multiple Choice

Word problem

A total of 1,650 boxes of cookies were sold last

week by a group of Girls Scouts. Each large box of

cookies cost $3.50, and each small box of cookies cost

$2.00. The Girl Scouts group earned $4,650. Which of

the following systems of equations could be used to

determine, l, the number of large boxes of cookies, and

s, the number of small boxes of cookies sold?

• 3.50l + 2.00s = 4,650

  l + s = 1,650

• 3.50l – 2.00s = 4,650

  l + s = 1,650

• 3.50l + 2.00s = 1,650

  l + s = 4,650

• 3.50s + 2.00l = 1,650

  l – s = 4,650

Multiple Choice

Word Problem

Lizzie and Beau went to Office Master to

buy school supplies. Lizzie bought 10 glitter pens and

7 Sharpie marker for a total of $19.00. Beau bought 3

glitter pens and 5 Sharpie markers for a total of

$10.05. Which system of equations could be used to

determine the cost of one glitter pens, g, and one

Sharpie marker, s?

• 10g + 7s = 10.05

  3g + 5s = 19.00

• 17g + 8s = 29.05

  g + s = 11

• 10g + 3s = 19.00

  7g + 5s = 10.05

• 10g + 7s = 19.00

  3g + 5s = 10.05

Multiple Choice

Word Problem

A pack of baseball cards contains 40 more

cards than a pack of football cards. The total number of

cards in 3 packs of baseball cards and 5 packs of

football cards is 820. Which system of equations can be

used to find b, the number of cards in one pack of

baseball cards, and f, the number of cards in one pack

of football cards?

• b – f = 40

  3b + 5f = 820

• b + f = 40

  3b + 5f = 820

• b – f = 40

  5b + 3f = 820

• b + f = 40

  5b + 3f = 820