Unit 4 Test Review: Equations, Inequalities, and Sequences

Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the number of loaves of bread on hand must be greater than 5. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

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Tags

CCSS.HSA.REI.D.12

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

• 1, –5, 25, –125, ...

• 3, –2, –7, –12, ...

Tags

CCSS.HSF.IF.A.3

 $2x\ +4y\ =12\$   $y=\frac{1}{4}x-3$ 

 What is the solution to the system of equations?

• (8, –1)

• (–1, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?

• Each strawberry contains 4 calories.

• Each strawberry contains 3 calories.

Tags

CCSS.8.EE.B.5

Which linear inequality is graphed with y > –x – 2 to create the given solution set?

• y > x + 1

• y < x + 1

Tags

CCSS.HSA.REI.D.12

Which best describes the relationship between the successive terms in the sequence shown?

9, –1, –11, –21, …

• The common difference is 10.

• The common difference is –10.

Tags

CCSS.HSF.BF.A.2

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

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Tags

CCSS.HSA.CED.A.3

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.

18 + 3x = 24 + 2x

What does x represent?

• the number of weeks the bird feeders are filled

• the total cost to fill the rectangular bird feeder after any number of weeks

What is the x-value of the solution to the system of equations?

5x + 4y = 8

2x − 3y = 17

Tags

CCSS.HSA.REI.C.9

Which linear inequality is represented by the graph?

• y < −2x + 3

• y < 2x + 3

Tags

CCSS.HSA.REI.D.12