Linear Systems Review Word Problems

What equation can be represented on the first bulleted statement?

• y = 6x + 3

• 6x + 3y = 27.75

• 3x + 6y = 27.75

• x + y = 27.75

John would like to save money to buy a new phone. He started saving with $75 and keep adding $5 per week. Which value represents the slope?

• $75

• $5

John would like to save money to buy a new phone. He started saving with $75 and keep adding $5 per week. Which value represents the y-intercept?

• $75

• $5

John would like to save money to buy a new phone. He started saving with $75 and keep adding $5 per week. If y represents the total savings, and x represents the number of weeks, what equation will represent the given situation?

• y = 5x + 75

• y = 75x + 5

• y = 5x

• y = 75x

Margo is taking a 160-point history test that has a total of 50 questions. Some of the questions are worth 6 points each, and the others are worth 2 points each. Which system of linear equations could be used to find, s, the correct number of six-point questions, and t, the correct number of two-point questions answered correctly?

• s + 6 = 160

  6t + 2s = 50

• 6s = 2t

  s + t = 160

• 6s = 2t

  6s + 2t + 50 = 160

• s + t = 50

  6s + 2t = 160

The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y?

• 14

• 4

• 6

• 2

Mary started saving with $15 and adding $2 per week.

What equation best describes the savings of Mary?

• y = 2x + 15

• y = 2x - 15

• y = 15x + 2

• y = 15x - 2

John and Mary would like to save money for summer camp. John started saving with $10 and adding $3 per week. Mary, on the other hand started with $15 and adding $2 per week. Which systems of linear equation best describes John's and Mary's savings?

• y = 2x + 15

  y = 3x + 10

• y = 2x - 15

  y = 3x - 10

• y = 15x + 2

  y = 10x + 3

• y = 15x - 2

  y = 10x - 3

John: y = 3x + 10

Mary: y = 2x + 15

In how many weeks will John and Mary's savings be equal?

• 5 weeks

• 6 weeks

• 7 weeks

• 4 weeks

Two spiders are climbing up a wall. The first one is at a height of 8 feet from the ground and climbs at a speed of 6 feet per minute. The second is at a height of 20 feet from the ground and climbs 3 feet per minute.

What equation will best represent the total height of each spider?

• y = 6x + 8

  y = 20x + 3

• y = 6x + 8

  y = 3x + 20

• y = 8x + 6

  y = 3x + 20

• y = 6x - 8

  y = 3x - 20