Unit 4 Test Review

Which of the following choices correctly represents the equation of each line AND the solution to the system?

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On one day, 4 gardeners and 4 landscapers earned $360. On another day, working the same amount of hours at the same rate of pay, 5 gardeners and 6 landscapers earned $480. Which

system of equations could be used to calculate how much a gardener or landscaper earns?

Let ‘g’ be gardeners and ‘l’ be landscapers.

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There are a total of 38 animals at the shelter, consisting of cats and dogs. The shelter spends $2.35 per day to care for each cat and $5.50 per day to care for each dog. On one particular day, the shelter spent a total of $161.75 to care for all of the cats and dogs. Which system below could be used to calculate how many dogs and cats were at the shelter?

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Below is a table of values for a line. Use Linear regression to find its equation.

• $y=-3x+5$

• $y=-\frac{1}{3}x+5$

• $y=-3x\ -\ 2$

• $y=-\frac{1}{3}x+2$

What is another word we can use for rate of change?

• midpoint

• maximum

• slope

• length

What is the slope between the points (6, 5) and (4, 9)?

• 2

• -2

• $\frac{1}{2}$

• $-\frac{1}{2}$

Simplify:

 $\left(x-4\right)^2$  

• (4x - 2)

• (x + 2)(x - 4)

• 2(x - 4)

• (x - 4)(x - 4)

Simplify: (x + 5)(x - 2)

• $x^2+7x\ -\ 10$

• $x^2+3x\ -\ 10$

• $x^2-10$

• $5x^2$

What is the solution to this system?

• (-2, -2)
• (2, -2)
• (-2,2)
• (2, 2)

Tags

CCSS.8.EE.C.8A

A gym charges a one-time registration fee as well as a monthly fee. The cost of joining the gym for 4 months is $370, and the cost of joining for 6 months is $530. Write a system of equations to find the registration fee and monthly fee. m= months; r = registration fee.

• r - 4m = 370
  r - 6m = 530
• r + 4m = 370
  r + 6m = 530
• m + 4r = 370
  m + 6r = 530
• m - 4r = 370
  m - 6r = 530

Tags

CCSS.HSA.CED.A.3