STAAR Success Lesson 6- System of equations

STAAR Success Lesson 6- Linear Functions and Systems of Equations

Open the Desmos graphing calculator in test mode. Click here: https://www.desmos.com/testing/texas/graphing

Multiple Choice

What is the range of this function?

• $$-4<x<2$$

• $$-4<y\le2$$

• $$-2\le x<3$$

• $$-2\le y<3$$

Multiple Choice

The parent linear functions is:

• $$f\left(x\right)=x^2$$

• $$f\left(x\right)=x$$

• $$f\left(x\right)=x+1$$

• $$f\left(x\right)=x^2-9$$

Multiple Choice

The graph of the function $$f\left(x\right)=x$$ is transformed to form the function $$g\left(x\right)$$ such that $$g\left(x\right)=3f\left(x\right)$$ . Which graph represents $$f$$ and $$g$$ ?

Multiple Choice

Which ordered pair is in the solution set of $$y\le\frac{3}{5}x-6$$ ?

• (5, -4)

• (-2, -5)

• (9, 1)

• (-8, 3)

Multiple Choice

What is the solution to this system of equations:

$$-3x+5y=21$$

$$6x-y=-15$$

• (2, 27)

• (-2, 3)

• (2, 0)

• (-3, -3)

Multiple Choice

Disney had breakfast with parents and children to eat breakfast with Mickey Mouse. Adult tickets cost $17.95 and children's tickets cost $12.95. Disney made $7355 from ticket sales from a total of 500 people that attended. How many adults and children were at the breakfast?

• 176 adults and 324 children

• 176 children and 324 adults

• 100 adults and 400 children

• 106 adults and 324 children

Multiple Choice

A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard is $50. If x is monitors and y is keyboard which inequality is correct?

• $$250x+50y<4500$$

• $$250x+50y\le4500$$

• $$50x+250y<4500$$

• $$50x+250y\le4500$$

Multiple Choice

Which system of equations best represents the lines h and j?

• $$y=\frac{4}{3}x-5$$

  $$y=\frac{4}{5}x+1$$

• $$y=\frac{3}{4}x-5$$

  $$y=\frac{5}{4}x-1$$

• $$y=-\frac{4}{3}x-5$$

  $$y=-\frac{4}{5}x-1$$

• $$y=-\frac{3}{4}x-5$$

  $$y=-\frac{5}{4}x+1$$

Multiple Choice

Which graph best represents the solution set to this system of inequalities?

$$x+2y<-2$$

$$y-x<3$$