algebra i eoc 10-day staar review™ hedgehog learning

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Algebra I EOC 10-Day STAAR Review™

Hedgehog Learning

STAAR Reporting

Category

Readiness Standards

60% - 65% of STAAR

Day 1

Number and

Algebraic Methods

A.10(E) - factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two

Day 2

A.11(B) - simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents

Day 3

Describing and

Graphing Linear Functions, Equations,

and Inequalities

A.3(B) - calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems

Day 4

A.3(C) - graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in

mathematical and real-world problems A.3(D) - graph the solution set of linear inequalities in two variables on the coordinate plane

Day 5

Writing and Solving Linear Functions,

Equations, and Inequalities

A.2(A) - determine the domain and range of a linear function in

mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities

Day 6

A.2(C) - write linear equations in two variables given a table of values, a graph, and a verbal description A.5(A) - solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides

Day 7

A.2(I) - write systems of two linear equations given a table of values, a graph, and a verbal description A.5(C) - solve systems of two linear equations with two variables for

mathematical and real-world problems

Day 8

Quadratic Functions

and Equations

A.6(A) - determine the domain and range of quadratic functions and

represent the domain and range using inequalities A.7(A) - graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry

Day 9

A.7(C) - determine the effects on the graph of the parent function f(x) =

x2 when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values of a, b, c, and d A.8(A) - solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula

Day 10

Exponential

Functions and

Equations

A.9(C) - write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay

A.9(D) - graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems

54 Questions 32-35 Questions

Embedded Process Standards – A.1(A-G)

Investigation and reasoning TEKS are embedded within each day’s lesson.

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DAY 1 – Algebra I 10-Day EOC Review Name ______________________ Period ________ Number and Algebraic Methods Readiness TEKS 10.E

1. Which expression is equivalent to 3x2 – 8x – 3?

A. (2x + 1) (x – 3)

B. (3x – 3) (x + 1)

C. (3x + 1) (x – 3)

D. (x + 3) (3x – 1)

3. What is an equivalent expression for y factored from the trinomial shown in the graph below?

A. (x + 3) (x + 1)

B. (-2x + 1) (x + 3)

C. (x – 1) (x + 3)

D. (-x + 1) (x + 3)

2. Which trinomial below is equivalent to (x + 3) (3x – 2)?

F. 3x2 + 7x – 6

G. 4x2 + 7x – 6

H. 3x2 – 7x – 6

J. 4x2 + 7x + 6



4. Which expression is a factor of 3x2 + 10x + 8?

F. (3x – 2)

G. (x + 2)

H. (x + 5)

J. (2x + 4)

6. Which of the following is a true statement about the trinomial shown in the graph below?

F. The expression does not have a real factor.

G. The expression is a perfect square trinomial.

H. It can be factored into an expression of (2x + 5) (x + 1).

J. The expression is not in its simplest form.

5. Which trinomial below cannot be factored as a perfect square?

A. x2 – 8x + 16

B. x2 + 50x + 225

C. x2 – 14x + 49

D. x2 + 2x + 1



7. Which of the following expressions is (x + 3) not a factor?

A. 2x2 + 5x – 3

B. -x2 – 2x + 3

C. x2 + 6x + 9

D. 2x2 – x + 5

9. What general rule can be stated about the factors of perfect squares in the form ax2 + bx + c?

A. The value for b is a square number and a and c have values that are twice the product of the square root of b.

B. The values for a, b, and c are all square numbers.

C. The values for a and c are square numbers and b has a value that is twice the product of the square roots of a and c.

D. The values for a, b, and c are all twice the product of a

square root.

8. The factors of 12 + x2 – 7x are ---

F. (3x – 7) (4x + 1)

G. (x + 3) (x + 4)

H. (7x – 3) (x – 4)

J. (x – 3) (x – 4)

10. Given the expression below, what are the missing values, respectively?

x2 + 9x + 20 = (x + ) (x + )

F. 4, 5

G. 2, 10

H. -4, -5

J. 3, 3



SKILL PRACTICE Identify which of the two factors represented by the letters below create an equivalent expression for each trinomial. If the trinomial is a perfect square, list the factored expression twice. Each letter may be used more than once or not at all.

1. 4x2 – 2x – 12 = (___________) (___________) 7. x2 – x – 2 = (___________) (___________) 2. x2 – 4x + 4 = (___________) (___________) 8. 4x2 – 16x + 16 = (___________) (___________) 3. 3x2 + 24x + 21 = (___________) (___________) 9. x2 – 12x + 32 = (___________) (___________) 4. 3x2 + 7x + 4 = (___________) (___________) 10. 3x2 – 6x – 9 = (___________) (___________) 5. x2 – 7x + 12 = (___________) (___________) 11. 15x2 + 17x – 4 = (___________) (___________) 6. 5x2 + 34x – 7 = (___________) (___________) 12. x2 + 2x + 1 = (___________) (___________)

L.

(3x+3)

K.

(2x–4)

J.

(x-8)

I.

(5x–1)

H.

(x+1)

G.

(-x–1)

F.

(x+7)

E.

(-x+2)

D.

(3x+4)

C.

(x–4)

B.

(2x+3)

A.

(x–3)

Number and Algebraic MethodsREADINESS STANDARD – TEKS A.10E

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READINESS STANDARDS

A.10(E) - factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two

Factoring is the reverse of multiplying.

(x + b) (x + c) = x2 + cx + bx + bc

MULTIPYING

FACTORING

MULTIPLYING TWO BINOMIALS

(x + 3) (2x – 4) = ?

FirstsOutsidesInsidesLasts

(x + 3) (2x – 4)


(x + 3) (2x – 4) = 2x2 – 4x + 6x – 12


(x + 3) (2x – 4)


(x + 3) (2x – 4) = 2x2 – 4x + 6x – 12

= 2x2 + 2x – 12

Combine like terms!

FACTORING A TRINOMIAL

2x2 + 2x – 12 = ( ? ? ) ( ? ?)

How can I produce 2x2?


2x2 + 2x – 12 = ( 2x ? ) ( x ?)

2x and x!


2x2 + 2x – 12 = ( 2x ? ) ( x ?)

How can I produce -12?


2x2 + 2x – 12 = ( 2x + 3 ) ( x - 4)

3 and -4!


2x2 + 2x – 12 = ( 2x + 3 ) ( x - 4)

Wait a minute…the outside and inside terms produce -8x and 3x. That’s not right.


2x2 + 2x – 12 = ( 2x - 4 ) ( x + 3)

I’ll switch the last terms or the +/- signs to make it right!


2x2 + 2x – 12 = ( 2x - 4 ) ( x + 3)


(2x - 4) (x + 3)

Now check my work…


2x2 + 2x – 12 = ( 2x - 4 ) ( x + 3)


Yep! It’s Correct!

2x2 + 6x - 4x – 12

2x2 + 2x – 12

Remember, son, when factoring trinomials...

ALWAYSALWAYS

ALWAYS

…check your work!!!

algebra i eoc 10-day staar review™ hedgehog learning

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