Write Systems of Linear Equations

The Wildcats football team scored 6 times in a game for a total of 60 points. Each touchdown with the extra point is worth 7 points. Each field goal is worth 3 points. Which system of equations could be used to find x, the number of touchdowns, and y, the number of field goals the team made in this game?

• x + y = 6

  7x + 3y = 60

• x + y = 6

  6(x + y) = 60

• x + y = 60

  3x + 7y = 60

• x + y = 60

  7x + 3y = 6

Tags

CCSS.8.EE.C.8C

Eduardo is creating a rectangular frame for his art project. The height of the frame is 8 inches longer than its width. The perimeter of the rectangular frame is 78 inches. Which system of equations best describes the dimensions of the rectangular frame?

• h + w = 8

  h + w = 78

• h – w = 8

  h + w = 78

• h + w = 8

  2h + 2w = 78

• h – w = 8

  h – w = 8

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.8.EE.C.8B

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

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.HSA.CED.A.3

Two angles are complementary. The measure of one of the angles is 12 degrees more than 2 times the other angle’s measure. Which system of equations can be used to find the measure of the two angles if a is the measure of the larger angle and b is the measure of the smaller angle?

• a = 2b + 12

  a + b = 90

• b + a = 180

  a = 2b + 12

• a + b = 90

  a = 2(b + 12)

• b + a = 90

  a = 12 – 2b

Tags

CCSS.8.EE.C.8C

The two equations represent a system of linear equations. What is the solution to this system of linear equations?

• (1, 2)

• (2, -1)

• (-2, -1)

• (-1, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

Tags

CCSS.8.EE.C.8B

Which of the following are ways to solve systems of equations? 

• Graphing

• Substitution

• Elimination

• All of the above

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A