FAST Algebra 1 Review Questions

Doug has 8 pieces of wood. Each piece has a side length of a centimeters. The total area of all 8 pieces of wood is 200 square centimeters.

Create an equation that Doug can use to find the side length (a) of each piece of wood.

Mathematical Equivalence

ON

Tags

CCSS.8.EE.A.2

A band sells x premium tickets and y regular tickets for a concert.

*A premium ticket costs $20

*A regular ticket costs $5 less than a premium ticket.

*The band raises $2145 from selling tickets.

Select coefficients to complete the equation representing the relationship between x and y.

​ ​ ​ (a)   x + ​ (b)   y = 2145

• 20
• 15
• 5
• 10

Tags

CCSS.8.EE.C.8C

Enter an expression that would make a true equation.

(xyz)² - 1 = (_____)(xyz - 1)

Tags

CCSS.7.EE.A.1

• The slope increases.
• The y-intecept increases.
• The x-intercept increases.
• The x-intercept decreases.
• The y-intercept decreases.
• The slope decreases.

Answer explanation

This is only one possible choice. As long as the y-intercept is less than 3 and the quadratic shows a maximum value for its vertex, it would be correct.

Tags

CCSS.HSF-IF.C.7A

• 1
• year
• 6
• 12
• 365
• weeks
• quarters

Answer explanation

365 days or 12 months would have also been correct answers.

Tags

CCSS.HSF-IF.C.8B

Match the following

• 1/2

• N/A

• 3

• rate of change

• 2

• y-intercept

• 6

• N/A

• -6

• x-intercept

The fuel economy of a car is its average distance traveled per amount of fuel consumed. Cars have different fuel economies when they are driven in the city and on the highway. A linear model of the relationship between the city and highway fuel economies of eight cars, in miles per gallon (mpg) is shown.

Which linear equation best models the scatter plot?

Using the equation from the previous question, what could be the highway fuel economy, in mpg, of a car that has a city fuel economy of 43 mpg? Round your answer to the nearest hundredth.

This question has two parts. Part 2 will be in the next question.

Giselle has 40 prizes for raffle ticket winners. She gives away 2 prizes each day until she runs out of prizes.

The equation p + 2t = 40 represents the situation, where p is the number of prizes Giselle has left after t days.

Identify the independent variable and graph the relationship.

Tags

CCSS.8.EE.B.5