Algebra I EOC 10-Day STAAR Review. Hedgehog Learning

Size: px

Start display at page:

Download "Algebra I EOC 10-Day STAAR Review. Hedgehog Learning"

Lizbeth Morrison
6 years ago
Views:

1 Algebra I EOC 10-Day STAAR Review Hedgehog Learning Day 1 Day 2 STAAR Reporting Category Number and Algebraic Methods Readiness Standards 60% - 65% of STAAR A.10(E) - factor, if possible, trinomials with real factors in the form ax 2 + bx + c, including perfect square trinomials of degree two A.11(B) - simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents Day 3 Day 4 Day 5 Day 6 Day 7 Day 8 Day 9 Day 10 Describing and Graphing Linear Functions, Equations, and Inequalities Writing and Solving Linear Functions, Equations, and Inequalities Quadratic Functions and Equations Exponential Functions and Equations A.3(B) - calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and realworld problems 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 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 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 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 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 A.7(C) - determine the effects on the graph of the parent function f(x) = x 2 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 A.9(C) - write exponential functions in the form f(x) = ab x (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 Questions Embedded Process Standards A.1(A-G) Investigation and reasoning TEKS are embedded within each day s lesson. Hedgehog Learning

2 DAY 1 Algebra I 10-Day EOC Review Name Period Number and Algebraic Methods Readiness TEKS 10.E 1. Which expression is equivalent to 3x 2 8x 3? 3. What is an equivalent expression for y factored from the trinomial shown in the graph below? A. (2x + 1) (x 3) B. (3x 3) (x + 1) C. (3x + 1) (x 3) D. (x + 3) (3x 1) 2. Which trinomial below is equivalent to (x + 3) (3x 2)? F. 3x 2 + 7x 6 G. 4x 2 + 7x 6 H. 3x 2 7x 6 J. 4x 2 + 7x + 6 A. (x + 3) (x + 1) B. (-2x + 1) (x + 3) C. (x 1) (x + 3) D. (-x + 1) (x + 3) Hedgehog Learning. Copying permitted for purchasing campus only.

3 DAY 1 Algebra I 10-Day EOC Review Name Period Number and Algebraic Methods Readiness TEKS 10.E 4. Which expression is a factor of 3x x + 8? 6. Which of the following is a true statement about the trinomial shown in the graph below? F. (3x 2) G. (x + 2) H. (x + 5) J. (2x + 4) 5. Which trinomial below cannot be factored as a perfect square? A. x 2 8x + 16 B. x x C. x 2 14x + 49 D. x 2 + 2x + 1 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. Hedgehog Learning. Copying permitted for purchasing campus only.

4 DAY 1 Algebra I 10-Day EOC Review Name Period Number and Algebraic Methods Readiness TEKS 10.E 7. Which of the following expressions is (x + 3) not a factor? 9. What general rule can be stated about the factors of perfect squares in the form ax 2 + bx + c? A. 2x 2 + 5x 3 B. -x 2 2x + 3 C. x 2 + 6x + 9 D. 2x 2 x + 5 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 + x 2 7x are Given the expression below, what are the missing values, respectively? F. (3x 7) (4x + 1) G. (x + 3) (x + 4) H. (7x 3) (x 4) J. (x 3) (x 4) x 2 + 9x + 20 = (x + ) (x + ) F. 4, 5 G. 2, 10 H. -4, -5 J. 3, 3 Hedgehog Learning. Copying permitted for purchasing campus only.

5 DAY 1 Algebra I 10-Day EOC Review Name Period Number and Algebraic Methods Readiness TEKS 10.E 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. A. B. C. D. E. F. (x 3) (2x+3) (x 4) (3x+4) (-x+2) (x+7) G. H. I. J. K. L. (-x 1) (x+1) (5x 1) (x-8) (2x 4) (3x+3) 1. 4x 2 2x 12 = ( ) ( ) 7. x 2 x 2 = ( ) ( ) 2. x 2 4x + 4 = ( ) ( ) 8. 4x 2 16x + 16 = ( ) ( ) 3. 3x x + 21 = ( ) ( ) 9. x 2 12x + 32 = ( ) ( ) 4. 3x 2 + 7x + 4 = ( ) ( ) 10. 3x 2 6x 9 = ( ) ( ) 5. x 2 7x + 12 = ( ) ( ) x x 4 = ( ) ( ) 6. 5x x 7 = ( ) ( ) 12. x 2 + 2x + 1 = ( ) ( ) Hedgehog Learning. Copying permitted for purchasing campus only.

6 Number and Algebraic Methods READINESS STANDARD TEKS A.10E READINESS STANDARDS A.10(E) - factor, if possible, trinomials with real factors in the form ax 2 + bx + c, including perfect square trinomials of degree two Hedgehog Learning

7 Factoring is the reverse of multiplying. MULTIPYING (x + b) (x + c) = x 2 + cx + bx + bc FACTORING

8 MULTIPLYING TWO BINOMIALS (x + 3) (2x 4) =? Firsts Outsides Insides Lasts (x + 3) (2x 4)

9 MULTIPLYING TWO BINOMIALS (x + 3) (2x 4) = 2x 2 4x + 6x 12 Firsts Outsides Insides Lasts (x + 3) (2x 4)

10 MULTIPLYING TWO BINOMIALS (x + 3) (2x 4) = 2x 2 4x + 6x 12 Combine like terms! = 2x 2 + 2x 12

11 FACTORING A TRINOMIAL 2x 2 + 2x 12 = (?? ) (??) How can I produce 2x 2?

12 FACTORING A TRINOMIAL 2x 2 + 2x 12 = ( 2x? ) ( x?) 2x and x!

13 FACTORING A TRINOMIAL 2x 2 + 2x 12 = ( 2x? ) ( x?) How can I produce -12?

14 FACTORING A TRINOMIAL 2x 2 + 2x 12 = ( 2x + 3 ) ( x - 4) 3 and -4!

15 FACTORING A TRINOMIAL 2x 2 + 2x 12 = ( 2x + 3 ) ( x - 4) Wait a minute the outside and inside terms produce -8x and 3x. That s not right.

16 FACTORING A TRINOMIAL 2x 2 + 2x 12 = ( 2x - 4 ) ( x + 3) I ll switch the last terms or the +/- signs to make it right!

17 FACTORING A TRINOMIAL 2x 2 + 2x 12 = ( 2x - 4 ) ( x + 3) Now check my work Firsts Outsides Insides Lasts (2x - 4) (x + 3)

18 FACTORING A TRINOMIAL 2x 2 + 2x 12 = ( 2x - 4 ) ( x + 3) Yep! It s Correct! Firsts Outsides Insides Lasts 2x 2 + 6x - 4x 12 2x 2 + 2x 12

19 Remember, son, when factoring trinomials... ALWAYS ALWAYS ALWAYS check your work!!!

2-4 Completing the Square

2-4 Completing the Square Warm Up Lesson Presentation Lesson Quiz Algebra 2 Warm Up Write each expression as a trinomial. 1. (x 5) 2 x 2 10x + 25 2. (3x + 5) 2 9x 2 + 30x + 25 Factor each expression. 3.