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Algebra 1-2 Final Exam Review: Equations, Expressions, and Linear Applications, Study notes of Algebra

A final exam review for algebra 1-2 students, focusing on solving equations with one and two solutions, simplifying expressions, and linear applications. It includes exercises on square root expressions, equations, and linear functions, as well as a web-based t-shirt company sales problem.

What you will learn

  • Simplify the following expressions: a) 3√5 + 3√5, b) 8 + 18, c) (7² + 7²) / (2² * 5²)
  • Find the equation of the line parallel to y = x + 1 that passes through (4, -2).
  • Graph both lines from problem 5 and 7.
  • Find the equation of the line perpendicular to y = 3x - 2 that passes through (-3, 2).
  • Solve the following equations with one solution: a) 3x - 4 = 11, b) 2x + 6 = -3, c) 2x + 10 = 2x - 12
  • Solve the equation: 3x² + 7x = 12.

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

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Algebra 1-2 Name: ____________________________
Final Exam Review R-#3 Date:___________________Period: ____
Square Root Expressions, Equations, and more
1. Solve the following equations. These only have one solution.
a)
34x
b)
3 17 2 6x
c)
2 2 10 12x
2. Solve the following equations using the Square Root method. Remember these have two solutions.
a)
2
2 1 33x
b)
2
( 3) 4x
2
4 4 3 33x
3. Simplify.
a)
3 5 3 5
b)
8 18
c)
2 2 9 2 5 2
d)
77
e)
2
25
f)
2 3 4 2 6
pf3

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Download Algebra 1-2 Final Exam Review: Equations, Expressions, and Linear Applications and more Study notes Algebra in PDF only on Docsity!

Algebra 1-2 Name: ____________________________ Final Exam Review R-#3 Date:___________________Period: ____

Square Root Expressions, Equations, and more

  1. Solve the following equations. These only have one solution.

a) x^ ^3 ^4 b)^3 ^17 ^2 x ^6 c)^2 ^2 x ^10 ^12

  1. Solve the following equations using the Square Root method. Remember these have two solutions.

a) 2 x^2  1  33 b) ( x  3)^2  4 c) 4  x  4 ^2  3  33 *use square roots to solve.

  1. Simplify.

a) 3  5  3  5 b) 8  18 c) 2 2  9 2 5 2

d) 7 7 e)  2 5 ^2 f)2 3 4 2  6 

g) 3  3  21  h) 

2

2  5 i) 3 ^4 ^3 ^4 

Mixed Review:

  1. Solve: (2 x  3) 2  2 x^2  x  4
  2. Find the equation of the line that is perpendicular

to

yx  that passes through (−3,2).

  1. After doing the work algebraically, graph both lines from the previous problem here. Label your graphs to show that your answer is correct.

x

y