Model and Reason with Equations and Inequalities: Part One — Test Answers

In which year was the actual population of Center City most different from the value predicted by this model?

What is the vertex of the absolute value function?

Which is the solution set of the compound inequality 3 point 5 x minus 10 is greater than negative 3 and 8 x minus 9 is less than 39 ?

Which equation can pair with x minus y is equal to negative 2 to create a consistent and dependent system?

Which characteristic of a data set makes a linear regression model unreasonable?

Meryl needs to add enough water to 11 gallons of an 18 percent detergent solution to make a 12 percent detergent solution. Which equation can she use to find g , the number of gallons of water she should add? Original (Gallons) Added (Gallons) New (Gallons) Amount of Detergent 1 point 9 8 0 Amount of Solution 11 g

What is the solution to the equation 3 times open paren x minus 1 close paren minus 2 times open paren 2 x plus 1 close paren is equal to 8 times open paren x minus 1 close paren ?

Given the equation the fraction with numerator 2 x plus 2 and denominator y is equal to 4 w plus 2 what is the value of x ?

Jamilla solved the inequality start absolute value x plus b end absolute value square 2 and graphed the solution as shown. Open image in full-screen view What is the value of b and the missing symbol in Jamilla’s inequality?

A charity bingo game costs 2 dollars per round and has a 13 dollars entry fee for an adult. It costs 3 dollars per round and a 10 dollars entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?

The constraints of a problem are listed. What are the vertices of the feasible region? x plus 3 y is less than or equal to 6 4 x plus 6 y is greater than or equal to 9 x is greater than or equal to 0 y is greater than or equal to 0

The standard diameter of a golf ball is 42 point 6 7 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0 point 0 0 2 mm. Which function could represent this situation?

The formula for the volume of a sphere is cap v is equal to 4 thirds pi r cubed What is the formula solved for r ?

Each week, Rosario drives to an ice-skating rink that is 60 miles away. The round-trip takes 2 point 7 5 hours. If he averages 55 miles per hour on his way to the rink, which equation can be used to find x , the number of miles per hour he averages on his way home?

Which statement is true about f of x is equal to negative 2 thirds start absolute value x plus 4 end absolute value minus 6 ?

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for these graphs?

What is the solution to the inequality start absolute value 2 n plus 5 end absolute value is greater than 1 ?

What is the maximum value of cap p is equal to 24 x plus 30 y , given the constraints on x and y listed? x plus y is less than or equal to 5 x minus y is greater than or equal to negative 1 x is greater than or equal to 0 y is greater than or equal to 0

Which graph can be used to find the solution(s) to 4 x is equal to negative 4 x ?

What is the solution to the equation negative open paren 5 minus open paren A plus 1 close paren close paren is equal to 9 minus open paren 5 minus open paren 2 A minus 3 close paren close paren ?