Algebra Spiral Review

A person is making a 5-gallon punch for a party that will consist of two different types of juices; apple and orange juice. They use at least 1 gallon of each type but want to use more apple than orange juice.

Given that x represents the gallons of apple juice in the punch and y represents the gallons of orange juice in the punch, then create a system of equations and/or inequalities modeling the scenario. Select all that apply.

• x+y=5

• x-y=5

• x > y

• x < y

The amount of money in a person’s bank account after a year is modeled by: A=200d-E.

• A represents the amount of money in the account
• d represents the number of days worked
• E represents the total expenses during the year

Rearrange the equation to solve for the number of days worked, d

Tags

CCSS.HSA.CED.A.4

The temperature, in degrees Fahrenheit, of an oven being preheated as a function of time, in seconds, after the oven is turned on is represented by function f, graphed in the picture. Which of the following statements below best interprets the meaning of f(120) within the context of the scenario?

Tags

CCSS.HSF.IF.B.4

f(x) is represented by the table attached and g(x) is represented by the graph. Fill in the blanks with the correct phrases to make the statement true

The y-intercept of f(x) is __________ the y-intercept of gx because _________ and ____________.

Which of the following represent all solutions of the equation y=2x-10?

• (x,y) for all real x and real y

• (x,2x-10) for all real x

• {(0,-10), (5,0)}

• 

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

A bedroom is initially square-shaped with each side x feet long. The room is then expanded so that the length of the room is increased by 3 feet, and the width increased by 4 feet. Choose the expression which represents how much bigger the area of the new bedroom is than the old bedroom.

• 7x+12

• $x^2$ +12x +7

• x+7

• 4

• 4.1

• 4.2

• 4.3

The table below represents the weight of a baby over the first year of doctor appointments. Determine the average rate of change for the first 6 months of the baby’s life.

• 1

• 1.5

• 2.5

• 2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which of the following functions, when graphed, would have a constant rate of change and an x-intercept of -5?

Tags

CCSS.HSF-IF.C.7A