Understanding Linear Relationships and Equations

Which situation can be represented by the equation y = 32x?

• An employee earns a total of y dollars at a rate of $32 per hour, x.

• An employee has completed a total of 32 projects, which includes the number of

  projects, completed last year, x, and the number of projects completed this year, y.

• An employee worked 32 hours last week, which include the hours worked during the

  week, y, and the hours worked on the weekend, x.

• An employee earns a total of $32 after working x number of hours at a rate of y dollars

  per hour.

Which statement describes the relationship between x and y in the two equations below?

Equation 1: y = x + 8 Equation 2: y = 8x

• In equation 1 and 2, the value of y is 8 more than the value of x.

• In equation 1, the value of y is 8 more than x and in equation 2 the value of y is 8

  times the value of x.

• In equation 1 and 2, the value of y is 8 times the value of x.

• In equation 1, the value of x is 8 more than y, and in equation 2, the value of x is 8

  times the value of y.

Four points are graphed on the coordinate grid. Which point is best represented by the

ordered pair (3, –6)?

• Point A

• Point B

• Point C

• Point D

The graph shows the relationship between the number of levels a person passes in a video

game, x, and the number of points earned by each level passed, y. Write an equation that best represents the relationship between the levels passed and the

points earned?

• y = 2x

• y = x + 2

• y = 8x

• y = x + 8

The graph shows the relationship between x and y in a data set. Which list shows the dependent quantities in the graph?

• 2, 4, 6, 10

• 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

• 4, 8, 12, 20

• 2, 4, 4, 8, 6, 12, 10, 20

Which situation can be represented by the equation y = 15x?

• Leah spent x dollars at the store. This was fifteen times the amount of money Ryan

  spent, y.

• Leah spent y dollars at the store. This was fifteen dollars more than the amount Ryan

  spent, x.

• Leah spent x dollars the store. This was fifteen dollars less than the amount Ryan spent,

  y.

• Leah spent y dollars at the store. This was fifteen times the amount of money Ryan

  spent, x.

The coordinate grid shows the locations of points A, B, C, and D.

What is the value of the y-coordinate of point B?

• y = -6

• y = -7

• y= -8

• y = -9

The table shows the relationship between x and y, where x is the independent quantity.

Which equation represents the relationship between x and y?

• y = ⅓ x

• y = x - ⅓

A coordinate grid is shown. Which ordered pair describes a point that is located 6 units to

the right of the origin and 3 units below the x-axis?

• (─6, ─3)

• (6, ─3)

• (─6, 3)

• (6, 3)

A mechanic charges a set fee per hour of labor. Yesenia went to the mechanic for a car

repair and was charged a labor fee of $540 for 4 hours of work.

Which table shows the relationship between the labor fee charged by the mechanic and

the number of hours he spends on a repair?

Select ONE correct answer.

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