Algebra 1 Semester Exam Review (Spring 2025)

Algebra 1
Semester Exam Review Spring 2025

By Chanoy Gandolfi

Perpendicular lines have slopes that are the opposite reciprocals.

​Parallel and Perpendicular lines

Slope-intercept
Point-slope
Standard

Forms of a Line

Chapter 4: Writing Linear Equations

Multiple Choice

The following equation is in what form?

y = 4x + 7

• Slope-intercept

• Point-slope

• Standard

• Not listed

Multiple Choice

The following equation is in what form?

y - 3 = 4(x + 7)

• Slope-intercept

• Point-slope

• Standard

• Not listed

Multiple Choice

The following equation is in what form?

3x + 2y = 8

• Slope-intercept

• Point-slope

• Standard

• Not listed

Multiple Choice

What is the relationship between the two lines below?

y = 2x + 3

y = -1/2x + 4

• parallel

• perpendicular

• same line

• none

Multiple Choice

What is the relationship between the two lines below?

y = 3x + 3

y = 3x - 2

• parallel

• perpendicular

• same line

• none

Multiple Choice

What is the relationship between the two lines below?

y = -5x + 4

y = -5x + 4

• parallel

• perpendicular

• same line

• none

No Solution - parallel
Infinitely Many Solutions - same line
One Solution - intersect at one point

Special Equations...

Graphing
Substitution
Elimination

Solve by....

Chapter 5: Solving Systems of Linear Equations

Multiple Choice

How many solutions to the system of equations show?

• none

• infinitely many

• one

• not enough information

Multiple Choice

How many solutions to the system of equations show?

• none

• infinitely many

• one

• not enough information

Multiple Choice

How many solutions to the system of equations show?

• none

• infinitely many

• one

• not enough information

Operations and composite

Rational Exponents

Properties and simplifying

Radicals

Chapter 6:
Exponential Functions

Multiple Choice

Simplify the expression.

$$\frac{h^4}{h^3}$$

• $$h^{12}$$

• $$h^7$$

• $$h^1$$

• $$h^2$$

Multiple Choice

Simplify the expression.

$$\left(h^4\right)^3$$

• $$h^{12}$$

• $$h^7$$

• $$h^1$$

• $$h^2$$

Multiple Choice

Simplify the expression with only positive exponents.

$$\frac{h^4}{h^8}$$

• $$\frac{1}{h^4}$$

• $$h^4$$

• $$h^{12}$$

• $$h^{-4}$$

Multiple Choice

Simplify the expression using only positive exponents.

$$h^{-2}\cdot h^3$$

• $$\frac{1}{h^6}$$

• $$h^{-6}$$

• $$h^1$$

• $$h^2$$

Multiple Choice

Simplify the expression.

$$h^4\cdot h^3$$

• $$h^{12}$$

• $$h^7$$

• $$h^1$$

• $$h^2$$

Multiple Choice

Pick the equivalent expression.

$$\left(\sqrt[4]{5}\right)^3$$

• 5 ^-1/4

• 5 ^4/3

• -5 ^1/4

• 5 ^3/4

Solving, Factoring, Analyzing, and Graphing

Equations and Functions

Add,
Subtract,
Multiply,
Divide with polynomials

Operations

Chapter 7: Polynomial Functions and Factoring

Multiple Choice

Find the sum of difference.

(5x² + 6x − 1) + (3x + 2)

• 5x² + 9x + 1

• 8x² + 9x + 3

• 5x² + 18x + 3

• 8x² + 9x + 3

Multiple Choice

Find the sum of difference.

(3x² − 8) − (12x² − 3x − 4)

• -9x² + 3x - 12

• -15x² + 3x - 4

• -9x² + 3x - 4

• -15x² - 3x - 12

Multiple Choice

Find the sum of difference.

(3x² + 4x − 1) + (−2x² − 3x + 2)

• x² + x + 1

• 5x² - x + 1

• 5x² - x + 3

• 5x² + x + 3

Multiple Select

Find the product.

(−2x)(6x + 3)

• -8x² - 6x

• -12x² - 6x

• -12x² + 6x

• -4x² - 6x

Multiple Choice

Factor the polynomial completely.

x² + 6x − 16

• (x + 2)(x + 8)

• (x + 2)(x - 8)

• (x - 2)(x + 8)

• (x - 4)(x + 4)

Multiple Choice

Factor the polynomial completely.

x² + 6x + 5

• (x + 1)(x + 5)

• (x + 2)(x + 3)

• (x - 1)(x + 5)

• (x - 1)(x + 6)

Chapter 8: Quadratic Functions

​Graphs

Analyze a graph of a quadratic function.

Identify the function family.

Multiple Choice

What is the vertex of the quadratic function graph?

• (2, -2)

• (-2, 2)

• (-2, -2)

• (2, 2)

Multiple Choice

What are the x-intercepts of the graph?

• 0 and 4

• 0 and 2

• 0 and -2

• 0 and -4

Multiple Choice

What is the range of the graph?

• y < 2

• y > 2

• y < 0

• all real numbers

Multiple Choice

What is the domain of the graph?

• y < 2

• y > 2

• y < 0

• all real numbers

Multiple Choice

What is the y-intercept of the graph?

• y = -2

• y = 2

• y = 0

• all real numbers

Multiple Choice

When is the graph positive?

• x < -4

• x > -4

• -4 < x < 0

• -4 > x > 0

Multiple Choice

Name the function family.

• Linear

• Quadratic

• Exponential

• Cubic

Multiple Choice

Name the function family.

• Linear

• Quadratic

• Exponential

• Cubic

Multiple Choice

Name the function family.

• Linear

• Quadratic

• Exponential

• Cubic

Multiple Choice

Name the function family.

• Square Root

• Quadratic

• Exponential

• Cubic

Multiple Choice

Name the function family.

• Square Root

• Quadratic

• Exponential

• Cubic