Systems of Linear Functions STAAR Qs

Victoria buys a total of 2.5 pounds of peaches and grapefruit at the store. Peaches cost $1.58 per pound and grapefruit cost $1.09 per pound. If she spends a total of $3.46, which system of equations can be used to determine the weight of the peaches, p, and grapefruit, g that Victoria bought?

• $p+g\ =\ 2.5$
  
  $1.58+1.09g=3.46$

• $p+g\ =\ 3.45$
  
  $1.58+1.09g=2.5$

• $p-g\ =\ 2.5$
  
  $1.58p\ +\ 1.09g\ =\ 3.46$

• $p+g=2.5$
  
  $1.58p-1.09g=2.5$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Which pair of equations could NOT be used to solve the following system for x and y?

 $4x+2y=22$  
 $-2x+2y=-8$  

• $4x+2y=22$
  
  $2x-2y=8$

• $4x+2y=22$
  
  $-4x+4y=-16$

• $12x+6y=66$
  
  $6x-6y=24$

• $8x+4y\ =\ 44$
  
  $-8x+8y=-8$

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

A sports magazine prints 12 issues per year. A technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system of equations can be used to find s, the number of pages in each issue of the sports magazine and t, the number of pages in each issue of the technology magazine?

• $s=t-18$
  
  $12s=10t+32$

• $s=t-18$
  
  $10s=12t+32$

• $t=s-18$
  
  $10t=12s+32$

• $t=s-18$
  
  $12t=10s+32$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

 $y<-2x+20$  The inequality is graphed below.  Which coordinate point is contained within the solution set of the inequality?

• (8,5)

• (8,20)

• (0,20)

• (4,5)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.12

 $-3y=2x+12$ 

  $2x+y=-4$  

Which graph can be used to find the solution to the system of equations? 

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The graph of y=2x+2 is shown on the coordinate grid below. Which equation, together with the equation whose graph is shown, forms a system of equations with (2,6) as a solution?

• $y=\left(x-2\right)+8$

• $-2x+y=3$

• $y=-x+8$

• $y=-2x+9$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

 $\frac{x+y}{x}=5$  

 $6x+2\left(x-2\right)=y$  

The point (x,y) is the solution to the system of equations below. What is the value of y? 

•  $\frac{1}{2}$  

• 3.6

• 4

• 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

 $5x+2y=12$ 

  $y=\frac{1}{2}x+\frac{7}{4}$  

Which graph models the system of equations shown?

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Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

 $y-7\le-2\left(x-3\right)$ 

  $y+4>m\left(x-6\right)$  

Consider the linear inequalities and where m represents the slope. Assume the boundary lines of these inequalities are perpendicular to each other.  Which coordinate point is contained within the solution set of the system of inequalities?

• (-2,5)

• (2,-6)

• (7,7)

• (3,-10)

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

 $2x+6y=9$  

 $y=-\frac{1}{2}x+2$  

Consider the system of equations shown below. What is x+y?

Tags

CCSS.HSA.REI.C.6