Algebra 1 2023 Midterm

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

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. 

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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Which graph best represents a system of equations that has no solution?

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The amount of gas consumed by a car varies directly with the miles driven. The car traveled 180 miles and used 6 gallons of gas.  If the car traveled 1,260 miles, how many gallons of gas would be used?

• 7 gallons

• 30 Gallons

• 42 Gallons

• 210 Gallons

Which graph represents a linear function?

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Six data points are given in the table.
 

 

Which statement identifies the correlation coefficient between the two variables and the correct interpretation of the correlation coefficient as a measure of the strength of the linear association?

• r = 0.9591; The correlation coefficient indicates a weak, positive, linear correlation.

• r = 0.9199; The correlation coefficient indicates a strong, negative, linear correlation.

• r = 0.9591; The correlation coefficient indicates a strong, positive, linear correlation.

• r = 0.9199; The correlation coefficient indicates a weak, negative, linear correlation.

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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Which set of ordered pairs does NOT represent a function?

• {(3, −2), (3, −4), (4, −1), (4, −3)}

• {(3, −2), (−2, 3), (4, −1), (−1, 4)}

• {(3, −2), (5, −2), (4, −2), (−1, −2)}

• {(3, −2), (4, −3), (5, −4), (6, −5)}

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