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C3 MT 2 Unit Test Equations

Last updated 4 months ago
24 questions
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A system of equations is shown.

What is the solution to the system?

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SHOW YOUR WORK BY GRAPHING. Determine the solution to the system of equations by graphing each equation on the grid. Label the point showing the solution with its coordinates.

The solution is (_______ )
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A student is growing two plants for a science experiment. Each plant was a different height at the start of the experiment. Plant A was given only water, and plant B was given water and plant food. The system of equations and graph show how the heights of the plants, y, in inches have changed over x weeks. When did the plants reach the same height?

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A system of equations is shown. Which ordered pair is the solution?

y = 2x-3
y = -\frac{3}{4} x - \frac{1}{4}

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Which graph represents the solution to this system of equations?

x+2y = -4
3x - y = -5

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A system of equations is shown. Show your work by solving algebraically by substitution or elimination/linear combination.

3x+4y=6
x+2y=4

Which is the solution?

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Kacie bought 2 breakfast wraps and 2 bottles of juice for $14. At the same shop, Adam bought 3 breakfast wraps and 5 bottles of juice for $26. How much does one breakfast wrap cost? How much does one bottle of juice cost?

Systems of Equations
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Solve for the value of x.

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Pool A currently contains 110 gallons of water and is filling at a rate of 6.5 gallons per minute. Pool B currently contains 72.5 gallons of water and is filling at a rate of 9.5 gallons per minute. In how many minutes will both pools contain the same amount of water?
Enter the correct numbers in the boxes.
An equation that can be used to solve this problem is:

110 + _______ x = _______ +9.5x

Both pools will contain the same amount of water in _______ minutes
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What is the solution of the equation 3(x + 2) = 5x – 2x + 6?

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It costs $26 to join Gym X, plus an additional $33 per month. It costs $59 to join Gym Y, plus an additional $30 per month. After how many months of membership would it cost the same to belong to either gym?

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Derek used the equation y=0.25x to determine the amount y of cups of vegetable oil used in x batches of muffins he plans to bake. Graph this relationship on the coordinate plane.

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The graph shows the outside temperature over time on a winter day.

What is the slope of the line?

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The graph shows the amount of water in a tank over time.



Which statement correctly describes the relationship that is shown in the graph?

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Given the graph, which equation models the relationship between x and y?

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Given the graph, which equation models the relationship between x and y?

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The table shows how far Jessica is from her friend's house in feet each minute after she leaves her home.


Use the data in the table. Enter the correct values in the boxes to complete an equation that gives the number of feet, y, Jessica is from her friend's house for any given amount of time in minutes, x, since Jessica left her house.

y = _______ x + _______
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Which equation represents a line that is steeper than the line y=\frac{2}{3}x but has a slope less than 1?

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The graph shows the total amount in dollars that Moe charges a customer for mowing. In addition to an hourly fee, customers are charged an initial flat fee for the cost of a gallon of gas regardless of how long he mows.


What is a true statement about the total cost?

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Irfan incorrectly determined that the equation for the line on the graph is y = 0.5x+5.
Enter the values in the boxes that will correctly complete the statements about the graph.

The y-value of the y-intercept of the line is _______ .
The slope of the line is _______ .
Therefore, the equation for the line shown on the graph should be y = _______
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Which expression could be used to determine the number of pebbles in figure n?

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Kendra knits at a constant rate. She is able to knit 24 stitches in 3 minutes. Which table correctly shows the number of stitches that Kendra can knit in 0, 2, 4, 6, 8, and 10 minutes?

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The table shows Stacy's cost for an Internet connection at Hotel A. The equation shows Stacy's cost, y, in dollars for an Internet connection for x minutes at Hotel B.
Hotel A:

Hotel B: y = \frac{1}{4}x

How much will it cost to have an Internet connection for 20 minutes at the hotel that has the greater cost per minute?

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The graph represents the cost ,y, in dollars of x notebooks at Store A. The equation represents the cost, y, in dollars of x notebooks at Store B.
Store A:

Store B: y = 1.35x

How much will it cost to buy 10 notebooks at the store that has the better deal?