Solving Systems Using Substitution

Lesson 8 Solving Systems using Substitution

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Multiple Choice

Identify a solution to this system of equations: {-4x+3y=23

x−y=-7

• (-5,2)

• (-2,5)

• (-3,4)

• (4,-3)

Fill in the Blanks

Solve each system of equations. Type the answer as an ordered pair with no spaces. ex (5,3)

{2x−4y=20

x=4

Fill in the Blanks

Solve each system of equations. Type the answer as an ordered pair with no spaces. ex (5,3)

{y=6x+11

2x−3y=7

Multiple Choice

Kiran buys supplies for the school’s greenhouse. He buys f bags of fertilizer and p packages of soil. He pays $5 for each bag of fertilizer and $2 for each package of soil, and spends a total of $90. The equation 5f+2p=90 describes this relationship.

If Kiran solves the equation for p, which equation would result?

• $$2p=90−5f$$

• $$p=\frac{5f-9}{2}$$

• $$p=45−2.5f$$

• $$p=\frac{85f}{2}$$

Open Ended

Multiple Choice

Find the x- and y-intercepts of the graph of each equation.

y=10−2x

• $$x-int:(5,0);y-int:(0,10)$$

• $$x-int:(2,0);y-int:(0,4.5)$$

• $$x-int:\left(7\frac{1}{3},0\right);y-int:(0,-22)$$

• $$x-int:(2,0);y-int:(0,-\frac{1}{3})$$

Multiple Choice

Find the x- and y-intercepts of the graph of each equation.

4y+9x=18

• $$x-int:(5,0);y-int:(0,10)$$

• $$x-int:(2,0);y-int:(0,4.5)$$

• $$x-int:\left(7\frac{1}{3},0\right);y-int:(0,-22)$$

• $$x-int:(2,0);y-int:(0,-\frac{1}{3})$$

Multiple Choice

Find the x- and y-intercepts of the graph of each equation.

6x−2y=44

• $$x-int:(5,0);y-int:(0,10)$$

• $$x-int:(2,0);y-int:(0,4.5)$$

• $$x-int:\left(7\frac{1}{3},0\right);y-int:(0,-22)$$

• $$x-int:(2,0);y-int:(0,-\frac{1}{3})$$

Multiple Choice

Find the x- and y-intercepts of the graph of each equation.

2x=4+12y

• $$x-int:(5,0);y-int:(0,10)$$

• $$x-int:(2,0);y-int:(0,4.5)$$

• $$x-int:\left(7\frac{1}{3},0\right);y-int:(0,-22)$$

• $$x-int:(2,0);y-int:(0,-\frac{1}{3})$$

Multiple Choice

Andre is buying snacks for the track and field team. He buys a pounds of apricots for $6 per pound and b pounds of dried bananas for $4 per pound. He buys a total of 5 pounds of apricots and dried bananas and spends a total of $24.50.

Which system of equations represents the constraints in this situation?

• {6a+4b=5
  
  a+b=24.50

• {6a+4b=24.50
  
  a+b=5

• {6a=4b
  
  5(a+b)=24.50

• {6a+b=4
  
  5a+b=24.50

Open Ended