Kennedy
Algebra 1 Concepts 8
Name ___________________________
Date ____________________________
Period ______
Marking Period #1 Quarterly Review
Your Marking Period #1 Quarterly will cover:
Chapter 1 – rational numbers and solving equations with rational numbers
Number sense review (1.1 to 1.4)
Converting between fractions and decimals
Converting between repeating decimals and fractions
Chapter 3 – exponents and their properties, scientific notation and operations of
scientific notations, squares roots and estimating square roots, Pythagorean
Theorem and it’s applications, irrational numbers
Irrational numbers (3.7 and EXT)
Approximating rational numbers (3.7 and EXT)
Perfect squares and cube roots (3.5)
Square roots and cube roots (3.5)
Approximating square roots (3.6)
Properties of exponents (3.1 to 3.2)
Application of Exponents (3.2)
Understanding Scientific Notation
Operations with Scientific Notation
Chapter 4 – similar figures and dilation
Similar figures
Dilation
Chapter 5 – congruence, transformations, similarity and congruence
transformations and combined transformations
And distance formula from the Pythagorean Theorem
Explore Pythagorean Theorem and its Converse (3.8 – 3.9)
Applications of Pythagorean Theorem (in 2 and 3 dimensions 3.9)
Find the distance between 2 points (distance formula)
Complete the problems below in order to practice the concepts learned.
You should also refer to your notes and homework when preparing as not all
concepts are covered in this review.
Day 1 of testing November 4th
Test Day #1 - Friday, November 1st
Day 2 of testing November 5th
Test Day #2 - Monday, November 4t
Any questions please visit period 9!
1
Kennedy
Algebra 1 Concepts 8
1. What is the √𝟏𝟒𝟒 ?
1.__12__________
2. Which of the following numbers is irrational?
¾ , 6, 0, √𝟗 , √𝟏𝟕
2.
___√17_________
3. Simplify x3 * x4
3. _x7___________
4. Simplify (x4)3
5. Evaluate
4. __x12________
𝒙𝟑 𝒚 𝒛−𝟐
𝒙𝟒 𝒚𝟑
5.
6. Write this number is standard notation
3.52 x 104
7. Write this number is scientific notation
0.00034
8. Write the number in CORRECT scientific notation 36.4 x 105
9. Solve
10. Solve
(4.5 x 106) + (3.02 x 104)
(5.9 x 10 9) – (4.1 x 108)
1
𝑥 𝑧2𝑦2
_______
6. _35200________
7. _3.4 x 10-4___
8. _3.64 x 106____
9._4.5302 x 106___
11. Multiply (5.6 x 103) (2.0 x 104)
10. _5.49 x 109__
12. Divide (8.2 x 108) ÷ (4 x 106)
11. _1.12 x 108_
13. Transform the shape below by reflection across the x-axis.
12. _3.28 x 1015__
13. ____________
Kennedy
Algebra 1 Concepts 8
14. Compare the numbers below and graph the numbers in
order on the number line.
14.____________
1. ___x15_______
2. ___77y7___
3. ___15x5___
3 𝑦3
4. _
2
_
𝑥4
5. _𝑧 5 __
6. __8x3y12
7. __25z4_
16 𝑥 12
8. _
𝑦8
___
16 𝑥 4 𝑦 2 𝑧 10
9._
9
_______
_____
Convert to scientific notation
10. __1_______
1. _5 x 10-3___
2. _5.05 x 103__
3. __8 x 10-4___
4. _1 x 103____
5. __1 x 106___
Solve each of the following
3
18. ____________
19. ____________
Kennedy
Algebra 1 Concepts 8
6. _7.15 x 10-2_
6
7. _1.053 x 107
7
8
8. _3.51 x 102
9
9. __7.62 x 10-5_
10
11
12
13.
10. _9.0 x 101__
11. _1.2 x 103__
12. __6.5 x 10-1
13. __9 x 10-5
Kennedy
Algebra 1 Concepts 8
1. There is a building with a 12 ft high window. You want to use a ladder to go up to
the window, and you decide to keep the ladder 5 ft away from the building to have a
good slant. How long should the ladder be? (Construct a model)
122 + 52 = 144 + 25 = 169
√169 = 13
2. A triangle has vertices at (-1,0), (4,0), and (4,6) in a
coordinate plane. What are the lengths of all the sides?
52 + 62
25 + 36 = 61
√61 = 7.8
3. A car drives 50 miles east and then 40 miles due
north. How far is it from where it started?
(Construct a model)
402 + 502 = 4100
√4100 = 64.1
4. Find the distance between (-8, 7) and (12, -9).
-8 – 12 = - 20
7 – (–9) = 16
202 + 162 = 656
√656 = 25.6
5