Algebra I Final Exam Review

NAME:______DATE:______

Algebra I Final Exam Review Part 1: Expressions, Equations & Inequalities

Keywords: expression, equation, evaluate, solution, equation, reciprocal, inequality, greater than, less than

Evaluate: x + 3 [1] when x = 8 and y = 3 [2] 6w – z ² when w = 3 and z = 8 y

[3] Distribute: 5(3x + 8y)

Solve the equation/inequality:

[4] 25 = 30 – x [5] 4x + 10 = 34

[6] 5x + 12 = 2x – 3 [7] 10(2x + 4) = 8x + 88

[8] Solve and Graph on a numberline: 5x - 3 3(x + 4)

1 Algebra I Final Exam Review Part 2: Linear Equations and Inequalities

Keywords: coordinate, ordered pair, x-intercept, y-intercept, slope, linear

Standard Form of a Line → Ax + By = C

Slope-Intercept Form of a Line → y = mx + b

rise y- y Slope Formula → m= slope = = 2 1 run x2- x 1

[9] Name the coordinates of A, B, C, and D. [10] Graph: y = -5x + 2

-10 -5 5 10 x

A= B= C= D= -5

[11] Find an equation, in slope-intercept form, of a line having slope 5 and y-intercept -7. 12] Find the slope of the line passing through the points A( 4, -2) and B(-7, -1).

Write the equation of the line with the given slope and given y-intercept.

[13] m = ½, b = 7

2 Write the equation of the line in slope-intercept form that passes through the given point and has the given slope.

[14] (6, -5), m = -4

[15] What are the x and y intercepts of the line 4x- 5 y = 20 ?

[16] Graph the linear inequality y>2 x - 5

-10 -5 5 10 x

Algebra I Final Exam Review -10 Part 3: Systems of Equations & Inequalities

Keywords: inequality, system of equations, solution to a system

[17] Solve by linear combination: 2x - y = -15 4x + y = 9

[18] Joe sold 200 tickets to a school fundraiser. Student tickets cost $3 and adult tickets cost $4. Joe raised a total of $650. How many student tickets and how many adult tickets to Joe sell?

3 y [19] Solve the system of inequalities by graphing: 10

1 y< -2 x + 2 y>2 x - 4 5

-10 -5 5 10 x

Algebra I Final Exam Review Part 4: Exponents

Keywords: simplify,product of powers, power of products, power of powers, power of quotients, quotient of powers

Simplify the Expression

4 [20] x3 x 5 [21] (2y)

8 3 7 [22] (52 ) [23] 73

2 骣x5 33 3 5 [24] 琪 [25] 桫x 310

2 2 5 3 8x y z [26] ab3 a 4 [27] ( ) 2x2 y 4 z

4 Algebra I Final Exam Review Part 5: Polynomials and Quadratics

Keywords: polynomial, degree, coefficient, quadratic, factor, GCF, solutions -b x- vertex = standard form= ax2 + bx + c 2a vertex form =a ( x - h )2 + k vertex = (h , k )

Add the Polynomials: Subtract the Polynomials: [28] (12x + 2) + (3x2 + x - 1) [29] (5x3 - 2x + 4) - (3x 3 + 3x 2 - 8)

Multiply the polynomials using FOIL or the area model: [30](2x + 3)(x - 4) [31] 4x( 5x - x² + 2)

Factor and Solve: [32] x2 + 3x + 2 = 0 [33] 2x2 + x - 15 = 0

[34] Use the graph on the right to answer the y questions below: 5

a.) What is the vertex?

b.) What is the shift from the parabola y= x2 ? 0 x

c.) What is the axis of symmetry?

-5 -5 0 5 5 d.) Write the equation of the parabola in vertex form.

e.) Write the equation of the parabola in standard form.

f.) What is the y-intercept?

Algebra I Final Exam Review Part 6: Polynomials and Quadratics

[35] Find the mean, median, mode and range of the following numbers:

8, 13, 22, 31, 35, 56, 2, 10, 16, 28, 35, 50

Mean: ______Mode:______

Median:______Range:______

[36] Use the numbers above to create a box and whisker plot. ( hint: use max. and min., upper and lower quartiles, and median)