Linear Equations Part 1 Unit Review Gudgen

The graph of a linear function is shown.

Which function is best represented by this graph?

Answer explanation

When given a graph and asked to write the linear equation that represents the graph, these are three options to solve the problem:

1. * Graph all of the answers in Desmos to see which equation produces the graph that is given. Enter each equation into Desmos exactly as it is written.

2. * Pick two points of the graph, make a table in Desmos and use y₁~mx₁+b to write the equation in slope-intercept form.

3. * Use the y-intercept and the slope(rise/run) of the graph to write the equation in slope-intercept form.

What is the equation of the linear function in slope-intercept form that passes through the point (-4,47) and (2,-16)?

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Mathematical Equivalence

ON

Answer explanation

When given a point and the slope of a line and asked to write the linear equation in point-slope form, solve the problem by

*Use the point and slope to fill in the y₁ , x₁ and m value in the equation.

The table represents some points on the linear function f.

Which linear equation that represents linear function f?

The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.

Based on the table, which function models this situation?

The graph of as linear function is shown on the grid.

Which equation best represents the graph? ​ ​ (a)   ​

Which point is on the line? ​ (b)  

• (7,2)
• (-2,-7)
• (-7,-2)
• (2,7)

Wendy wants to go shopping for school clothes. She has $100 to spend. The store is selling any shirt for $15 and any pair of pants for $25. If x represents the number of shirts and y represents the pairs of pants, write an equation to best represent this situation.

Mathematical Equivalence

ON

Ronald is selling cookies at a bake sale. He will sell each cookie for $2 . and each muffin for $3. He would like to have a profit of more than $80. If x represents the number of cookies sold and y represents the number of muffins sold, write an inequality that best represents this situation.

Mathematical Equivalence

ON

Answer explanation

To write a linear inequality from a verbal description

• *Determine what the x and y values represent. Find what it says about the x and y value to determine the coefficient of the x and y values. Determine if the x and y values are added or subtracted. Find if the x and y values add or subtract to be >, <, ≥, or ≤ to the total.Write the equation in standard form using Ax+By(insert inequality sign)C . A is how x is described, B is how y is described.

Answer explanation

The correct graph should have an open circle at 5 and a line with an arrow to the right of 5.