First Semester Review

Expansion and Factorization of Expressions

100

Expand the following expression.

(2a+3)(a+5b)

2a²+10ab+3a+15b

200

Expand and simplify the following expression.

(5-y²+4y)(2-3y)

3y³-14y²-7y+10

300

Factorize the following expression completely.

3x² - 75

3(x+5)(x-5)

Congruency, Similarity and Transformations

100

a) Draw two similar triangles.

b) Draw two congruent reactangles.

Answers vary.

200

The following coordinate is translated 4 units up and 8 units to the right. What is the new location?

(-3,-4)

(5,0)

300

On a coordinate plane, a triangle has vertices at A(-3,1), B(-2,1) and C(-3,3). Triangle ABC is reflected across the y-axis. What are the coordinates of Triangle A'B'C' ?

A'(3,1) B'(2,1) and C'(3,3)

Linear Equations and Expressions

100

Evaluate the expression below if x=5 and y=3

2x² + xy² + 4

99

200

Solve the equation below.

3(x+3) - (x - 2) = 1

    2           5

x = -3

300

Use any method (substitution, graphical, algebraic) to solve the pair of simultaneous linear equations.

x + 3y = 8    and    2x + 5y = 13

x = -1 and y = 3

Linear, Quadratic, and Exponential Functions

100

The equation of a function is y = -2x - 1

Complete the following solutions to the function.

(A,3) (0,B) (C,-3) (4,D)

A=-2

B=-1

C=1

D=-9

200

Solve for f(4) using the function below.

f(x) = 0.03x² - 0.6x + 5

3.08

300

Solve for f(4) using the function below.

f(x) = 6^x-1

216

Exponents and Scientific Notation

100

Simplify the following.

(c⁴d⁵)³ x (c²d⁷)⁶

c²⁴d⁵⁷

200

Express the following number in scientific notation.

378,000

3.7 x 10⁵

300

Express the following number in scientific notation.

0.000092

9.2 x 10^-5