SSESeeing Structure in Expressions Cluster

Mathematics I Resources for EOC Remediation

SSE – Seeing Structure in Expressions Cluster:

HSA-SSE.A.1

HSA-SSE.A.2

HSA-SSE.B.3

The information in this document is intended to demonstrate the depth and rigor of the Nevada Academic Content Standards. The items are not to be interpreted as indicative of items on the EOC exam. These are a collection of standard-based items for students and only include those standards selected for the Math I EOC examination.

HSA-SSE.A.1 Interpret expressions that represent a quantity in terms of its context.*

HSA-SSE.A.1.a Interpret parts of an expression, such as terms, factors, and coefficients.

  1. You bought five sub sandwiches for each to split with teammates on your team. This situation can be represented by the expression .

Part A: What does the represent?

Part B: What does the entire expression represent?

Answer: Part A: represents the number of teammates on your team.

Part B: The expression represents cost per teammate

  1. The grocery store where Rebecca shops sells spaghetti sauce for a jar. Today there is a sale for a certain percent off of your total purchase. The sale can be represented by the following expression: .

Part A: What does the variable represent?

Part B: The sale was discounted by what percent?

Part C: What is the entire expression representing?

Answer: Part A: The variable represents the number of jars of spaghetti sauce purchased.

Part B:

Part C: The expression represents the total cost of jars of spaghetti sauce after the discount.

  1. Identify the factors in the expression .

Answer: P and and

  1. A taxi driver is paid $3.50 for the first 1/9 mile and $1.25 for each quarter mile thereafter. Write an expression for the amount paid for a passenger traveling x miles.

Answer:

  1. Rachel kept track of the number of people getting in the bookstore, with the following observations:

•At 9AM, several people (p) got in the store that just opened

•At 9:30 AM, the number of people doubled as more people got in

•At 10AM, 3 people left

•At 10:30AM, 2 people got in and 4 people left

Which expression represents the number of people in the bookstore at 10:30 AM?

A.2p – 5

B.2p – 1

C.2p + 1

D.2p + 5

Answer: A

  1. What is the coefficient of in the sum of and

?

Answer: -5

HSA-SSE.A.2 Use the structure of an expression to identify ways to rewrite it. For example, see as thus recognizing it as a difference of squares that can be factored as

1. The length and width of a rectangle are measured in centimeters. The length is described as centimeters. What is the width, if the area is centimeters2?

Answer: 2 cm

  1. Which expression is equivalent to ?

A.

B.

C.

D.

Answer: B

  1. Which of the following are equivalent to ? Select ALLthat apply.

A. /
B. /
C. /
D. /
E. /
F. /

Answer: A, B and F

  1. Which expression is equivalent to ?

A.

B.

C.

D.

Answer: B

  1. Mario was given the problem, to factor completely. He wrote . Is he correct? Explain your reasoning.

Answer: No, Mario should have factored out the GCF as well.

The correct answer is

  1. Which of the following expressions are equivalent to ? Select ALL that apply.

A. /
B. /
C. /
D. /
E. /
F. /
G. /

Answer: A, D, E, G

  1. Which of the following expressions are equivalent to ? SelectALL that apply.

A.B.

C.D.

Answer: A, B, C, D

HSA-SSE.B.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.*

HSA-SSE.B.3.a Factor a quadratic expression to reveal the zeros of the function it defines.

HSA-SSE.B.3.b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

  1. Look at the steps for completing the square. Identify and describe the error.
Step 1: /
Step 2: /

Answer: Error on Step 1: When adding 25 to the right side of the equation, you must also subtract 25 from the right side to preserve the equality.

  1. The three functions below are all equivalent. Use the functions to answer the following questions.

I. /
II. /
III. /
Part A: / Choose the form that most easily reveals the y-intercept of the graph of .
Part B: / Which of the above most quickly reveals the roots?
Part C: / Which of the above is most likely to quickly reveal the vertex of the functions?

Answer: Part A: II, Part B: I, Part C: III

  1. Complete the square and determine the vertex for . Is the vertex a minimum or the maximum value of the function it defines?

Answer:

  1. One of the factors of is . Determine the other factor.

Answer:

  1. For , the expression can be used to reveal a zero. What expression can be used to reveal the other zero?

Answer:

  1. Which of the following have at least one solution in common with ?

Select ALL that apply.

A. /
B. /
C. /
D. /
E. /
F. /

Answer:B, C, and F

  1. If is a factor of , what is the value of ?

A.

B.

C.

D.

Answer:A

  1. A football is kicked into the air. The height of the football can be modeled by , where is the height reached by the ball after seconds.

Part A: / Which of the following is an equivalent form?
A. /
B. /
C. /
D. /
Part B: / How long does the ball stay in the air?

Answer: Part A: A, Part B: 2 seconds

  1. The graph of has the following characteristics. Select all that apply.

A.Minimum of

B.Maximum of

C.Vertex at

D.Vertex at

E.Maximum of

F.Minimum of

Answer:D, F

  1. Write an equation for a quadratic function whose graph satisfies the given condition:

x-intercepts at the origin and (2, 0).

Answer: Answers may vary, but anything in in the form of , , or

where is any real number.

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Initial Draft: Dec. 2016