Algebra 1 2.8.2021

Algebra 1 2.8.2021

The End of Unit 4

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Multiple Choice

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Multiple Choice

How many solutions are there in the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

Multiple Choice

Systems with the same slope and same y-intercepts have

• No Solution

• One Solution

• Infinitely Many Solutions

Multiple Choice

y= 2x + 5

y= 5 + 2x

• No Solution

• One Solution

• Infinitely Many Solutions

Multiple Choice

y= ¾ x + 5

y= 5 + ¾ x

• No Solution

• One Solution

• Infinitely Many Solutions

Multiple Choice

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Multiple Choice

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Multiple Choice

Name the y intercept

• -1
• 7
• -1x
• -7

Multiple Choice

Name the slope

• 3
• 1
• -1x
• -1

System Word Problem Practice

Multiple Choice

A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?

• 2 pigs and 8 ducks

• 10 pigs

• 8 pigs and 2 ducks

• 12 pigs and -3 ducks

Multiple Choice

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

• 10 horses, 18 chickens

• 16 horses, 12 chickens

• 12 horses, 16 chickens

• 18 horses, 10 chickens

Multiple Choice

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total.

To solve, I graphed:

x + y = 21

6x + 4y = 104

I got an intersection point at (10,11). What does that mean in context of the problem?

• There are 10 adults and 11 children.

• There are 11 adults and 10 children.

• The adults are $10 and the children are $11.

• There are 104 adults and 21 children.

Multiple Choice

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740
• S + A = 530
  4S + 3A = 1740
• S + A = 1740
  3S + 4A = 530
• S + A = 1740
  4S + 3A = 530

Multiple Choice

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

• x - y = -10
  x + y = -2
• x = -2 
  y = 5
• x + y = -2
  x - y = -10
• x + y = -10
  x - y = -2

Multiple Choice

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

• y-10 = -2(x+7)

• y-10 = -2(x-7)

• y+10 = -2(x+10)

• y -10 = -2x+2

Multiple Choice

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

• y-8=5(x-3)

• y=5x+8

• y-3=5(x-8)

• y-y₁₌ m(x-x₁₎

Multiple Choice

Which ordered pair could represent a y-intercept on a graph?

• (6, 0)
• (0, 4)
• (-1, 3)
• (2, 0)

Multiple Choice

What does "m" represent in y=mx+b?

• y-intercept
• slope
• macaroni
• nothing