Linear Equations

Heidy collects music boxes. She currently has 7 and plans to collect 3 more each year. Which statement best describes Haley's situation?

• Haley's situation is proportional because she will be collecting music boxes at a constant rate.
• Haley's situation is proportional because she has 7 music boxes and will be collecting 3 music boxes each year.
• Haley's situation is non-proportional because she has 7 music boxes and will be collecting 3 music boxes each year.
• Haley's situation is non- proportional because she will be collecting music boxes at a constant rate.

Tags

CCSS.7.RP.A.2D

Trenton sells 3 pounds of barbeque for $28.74. If the cost of the barbeque directly varies with the number of pounds sold, which of the following does not reflect the same relationship?

• 6 pounds of barbeque for $57.48
• 9 pounds of barbeque for $82.26
• 12 pounds of barbeque for $114.96
• 15 pounds of barbeque for $143.70

Which table shows a relationship that is proportional?

• A
• B
• C
• D

Tags

CCSS.7.RP.A.2B

The monthly cost of renting a laptop is shown in the graph. Which equation best represents the cost, y, of renting the laptop for, x, months?

• y = 45x
• y = 35x + 45
• y = 65x + 45
• y = 20x + 45

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Two quantities, x and y, are related such that y varies directly with x. If the graph of this relationship contains point (-3, 2), which point also belongs on the graph?

• (9, -6)
• (0, -1)
• (-12, 11)
• (21, -10)

Look at the table. Which equation best models the data?

• f(x) = -4x + 1
• f(x) = 2x - 8
• f(x) = -12x + 3
• f(x) = 2x + 2

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Consider the equation: y = 12x + 1.
If y represents the total number of cookies, which situation best describes the equation?

• After purchasing x dozen cookies, one additional dozen costs $1
• After purchasing x dozen cookies, one cookie is free
• After purchasing x dozen cookies, the next dozen is free
• After purchasing x dozen cookies, one additional cookie costs $1

Tags

CCSS.HSF.LE.B.5

Which situation describes a proportional relationship?

• Justin saves $5.50 every month to contribute to his college fund.
• Alyana bakes 3 dozen cookies every hour to add to the one dozen cookies she has already baked
• Endy begins with 15 cans and collects 30 cans from each classroom to donate to the Houston Food Bank
• Sanaa has painted 18 square feet of fence and plans to paint 42 square feet of fence every hour until she's finished

Tags

CCSS.7.RP.A.2D

Write the slope intercept equation for the line shown on the coordinate plane.

• f(x) = 3x - 1
• f(x) = -3x - 1
• f(x) = 1/3x + 1
• f(x) = 1/3x - 1

The water level in the lake during the spring was 1.5 feet below sea level. The unusually hot and dry summer caused the water level to drop 0.6 foot each week. Which equation best models the water level in feet, f, after, w, weeks?

• f = -1.5w + 0.6
• f = -0.6w + 1.5
• f = -1.5w - 0.6
• f = -0.6w - 1.5