Algebra 1 Linear Equations Domain and Range

FroYo Express charges $5.75 for a large cup of frozen yogurt and $0.25 for each topping. The Big Chill charges $2.75 for a large cup of frozen yogurt and $1.25 for each topping.
The graph represents the relationship between the number of toppings, x, and the total cost of a large cup of frozen yogurt, y, at the two stores.

For what total cost are the number of toppings the same at both stores?

• The total cost is $3.00 when the number of toppings is the same at both stores. 

• The total cost is $6.50 when the number of toppings is the same at both stores. 

• The total cost is $5.75 when the number of toppings is the same at both stores. 

  
  

• The total cost is $2.75 when the number of toppings is the same at both stores. 

Which of the following shows the domain and range for the relation in the graph?

• Domain: {1 ≤ x ≤ 8}

  Range: {6 ≤ y ≤ 2}

• Domain: {1 ≤ x ≤ 8}

  Range: {2 ≤ y ≤ 6}

• Domain: {8 ≤ x ≤ 1}

  Range: {6 ≤ y ≤ 2}

• Domain: {8 ≤ x ≤ 1}

  Range: {2 ≤ y ≤ 6}

What is the value of x in the solution to this system of equations? y+2x=-1 y=1/2x+4

• 6/5

• -2

• -10/3

• 3

The line graphed on the grid represents the first of two equations in a system of linear equations.

If the graph of the second equation in the system passes through the points (-12, 20) and (4, 12), which statement is true?

• The only solution to the system is (10, 5).

  
  

• The only solution to the system is (0, 14).

  
  

• The system has no solution.

  
  

• The system has an infinite number of solutions.

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What is the domain and range for the following line?

• Domain: (-6 ≤ x < 3), Range: (-9 < y ≤ 2)

• Domain: (2 ≤ x < -9), Range: (3 < y ≤ -6)

• Domain: (-9 < x ≤ 2), Range: (-6 ≤ y < 3)

• Domain: (-9 ≤ x < 2), Range: (-6 < y ≤ 3)

Domain: ​ (a)   Range: ​ (b)  

• The domain is {0,1,2,3,4,5}

• The range is {0,96,192,288,384,480}

• The domain is all real numbers

• The range is all real numbers

• The domain is {0,96,192,288,384,480}

• The range is {0,1,2,3,4,5}

What is the Domain of this linear function?

• -3 < x ≤ 5

• x = -1

• 5 < x ≤ -3

• -2 < x ≤ 6

Which graph represents a linear function?

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

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The table below shows pairs of values that satisfy a linear function.
 

x y

–2 –7.5

–1 –6

0 –4.5

1 –3

2 –1.5

3 0

What is the y-intercept of the graph of this function?

Mathematical Equivalence

ON