The Guarantees |
Example Problems |
Practice Problems |
Video Examples |
| Chapter 1 |
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| G1.1 (Section 1.1) Extend sequences using constant differences. |
Find the next three terms in each sequence.
14, 21, 28, 35, 42, ... |
1.1 Practice 1.1 Answers
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| G1.2 (Section 1.3) Apply algebraic order of operations. |
Evaluate: 2+ 6 *3 |
1.2 Practice 1.2 Answers |
http://www.youtube.com/watch?v=pEz_Wn35098
http://www.teachertube.com/viewVideo.php?video_id=139238 |
| G1.3 (Section 1.3) Using variables, through substitution find the value of a given equation or sentence. |
For x=4 and y=5
Evaluate 4x+3y |
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http://www.youtube.com/watch?v=K7BtfvNMAu4
http://www.teachertube.com/viewVideo.php?video_id=45558 |
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| Chapter 2 |
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| G2.1 (Sections 2.2, 2.3 & 2.4) Add, subtract, multiply or divide real numbers. |
-16 - -8
8*-6
-45/-9
2/3 - 3/5 |
2.1 Practice 2.1 Answers |
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| G2.2 (Section 2.6) Simplify expressions involving variables. |
(-4x + y) + (5x – 4y)
(- 6x + y) – (2x - 4)
(- 6x + y) – (2x - 4) + (2x +6) |
2.2 Practice 2.2 Answers |
http://www.youtube.com/watch?v=8hlx1sxcfBk
http://www.teachertube.com/viewVideo.php?video_id=23531 |
| G2.3 (Section 2.7) Multiply and divide expressions containing variables. |
4(8x + 6)
(4x)( 3 - 5x)
(9x - 6)(7)
(2 - 5x)(3x)
(15x +12)/3 |
2.3 Practice 2.3 Answers |
http://www.youtube.com/watch?v=-bIxmQ6cZ9g |
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| Chapter 3 |
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| G3.1 (Sections 3.1 & 3.2) Solve one step equations. |
10x = 24
17 - x = 8 |
3.1 Practice 3.1 Answers |
http://www.youtube.com/watch?v=ePOZc-Ar42Q
http://www.youtube.com/watch?v=U_-LCSHcD2k
http://www.youtube.com/watch?v=EXmaPkf6_Ls |
| G3.2 (Section 3.3) Solve two step equations. |
4x + 5 = 17
40 = 6x - 9 |
3.2 Practice 3.2 Answers |
http://www.youtube.com/watch?v=6mt-wVsicFE
http://www.teachertube.com/viewVideo.php?video_id=91054 |
| G3.3 (Sections 3.4 & 3.5) Solve multistep equations. |
3(x - 7) = 15
5(x + 4) = 3(x - 4)
5(4x - 2) -5(2x + 4) = 4(x - 3) |
3.3 Practice 3.3 Answers |
http://www.youtube.com/watch?v=XfaWLVLfeJM
http://www.youtube.com/watch?v=K2X5O0-nwJ8 |
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| Chapter 4 |
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| G4.1 (Section 4.1) Solve a proportion. |
Solve 5/6 = 20/x
Solve 6/18 = x/9
If Jenna can make 50 free throws in 60 seconds, how many can she make in 90 seconds? |
4.1 Practice 4.1 Answers |
http://www.youtube.com/watch?v=P_aQPxr2G_4
http://www.youtube.com/watch?v=oy9IukhFZWg |
| G4.2 (Section 4.2) Convert and solve a percent word problem. |
58% of x is 15
59% of 65 is x
A cell phone that regularly sells for $119.99 is now on sale for $78.00. What is the percent decrease in the cost of the phone? |
4.2 Practice 4.2 Answers |
http://www.youtube.com/watch?v=2s0LW1jE9WM
http://www.youtube.com/watch?v=V7UF0hE7AQY
http://www.youtube.com/watch?v=TpZXX-GsmB0
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| G4.3 (Section 4.4) Given a data set find the mean, mode, median, and range showing work. |
Find the mean, median, mode, and range. 8,7,6,5,8,9,9,10,11,11,12,13
Find the mean, median, mode, and range. 77,78,56,77,57,58,86,88,90 |
4.3 Practice 4.3 Answers |
http://www.youtube.com/watch?v=81zcjULlh58 |
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| Chapter 5 |
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G5.1 (Section 5.2) Find the slope of a line.
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Find the slope of the line containing the points: (8,6) and (-5,3).
What is the slope of a horizontal/vertical line ?
Find the slope of a line from a graph. |
5.1 Practice 5.1 Answers |
http://www.youtube.com/watch?v=IRSd4a5h8mo
A horizontal line's slope = 0. A vertical line's slope is undefined.
http://www.teachertube.com/viewVideo.php?video_id=3070 |
| G5.2 (Section 5.4) Find the equation of a line. |
Find the equation of the line containing the point (-3,8) with slope -3.
Find the equation of the line containing the points: (-9,7) and (6,3).
Find the equation of a line from a graph. |
5.2 Practice 5.2 Answers |
http://www.youtube.com/watch?v=rvcfSuLPfgc
http://www.youtube.com/watch?v=6MhGGo8sVfQ
http://www.teachertube.com/viewVideo.php?video_id=21001 |
| G5.3 (Section 5.3) Solve direct variation equations. |
Given a direct variation; y is 10 when x=5. Find y when x =6.
Given a direct variation; y is 3 when x=15. Find y when x =8. |
5.3 Practice 5.3 Answers |
http://www.youtube.com/watch?v=wKXXrBV_RcA
http://www.youtube.com/watch?v=o31s1daJaWw |
| G5.4 (Section 5.5) Rewrite a linear equation in slope intercept form. |
Write 5X + 4Y = 20 in slope-intercept form. |
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http://www.youtube.com/watch?v=Zj-9Zc9yKYU |
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| Chapter 6 |
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| G6.1 (Sections 6.1 & 6.2) Graph inequalities. |
Graph on a number line x > -15. |
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http://www.youtube.com/watch?v=AjZzACaeIco |
| G6.2 (Sections 6.1 & 6.2) Solve inequalities. |
Solve: 5 – 3x > -10.
Solve 6x + 5 < 2x - 7.
Solve -2 < 4x + 6 < 14. |
6.2 Practice 6.2 Answers |
http://www.youtube.com/watch?v=cbLKl4CEX5A |
| G6.3 (Section 6.5) Solve absolute value equations. |
| x | = 8
| x -3 | = 11 |
6.3 Practice 6.3 Answers |
http://www.youtube.com/watch?v=NxbLXwXXp7Y
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| Chapter 7 |
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G7.1 (Section 7.1) Solving systems of equations by graphing.
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Solve by graphing. Label the answer!
X + Y = 3
3X + 2Y = 8 |
7.1 Practice 7.1 Answers |
http://www.youtube.com/watch?v=cuNpXve18Pc |
| G7.2 (Section 7.2) Solving systems of equations by substitution. |
Solve by substitution. Show Work!
2X + Y = 4
Y = 1-X |
7.2 Practice 7.2 Answers |
http://www.youtube.com/watch?v=JYqBzPK5qfU |
| G7.3 (Section 7.3) Solving systems of equations by elimination. |
Solve by elimination. Show Work!
4X + 5Y = 31
2X + 5Y = 23 |
7.3 Practice 7.3 Answers |
http://www.youtube.com/watch?v=FHSLKmyyxHA |
| G7.4 (Section 7.5) Graph an inequality in two variables. |
Graph Y>3x - 2
Graph: 4X + 5Y > 20 |
7.4 Practice 7.4 Answers |
http://www.youtube.com/watch?v=GuVfofpjk8I
http://www.youtube.com/watch?v=zUMN66sToc0 |
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| Chapter 8 |
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| G8.1 (Section 8.2) Find the Power of a Power/ Product. |
(3X^2 ) (2Y^ 3 ) (4X^3 ) |
8.1 Practice 8.1 Answers |
http://www.youtube.com/watch?v=_tnfo--X19s |
| G8.2 (Sections 8.1 & 8.3) Find the Product/ Quotient of a Power. |
(3X ^3 Y^2 )^2 |
8.2 Practice 8.2 Answers |
http://www.youtube.com/watch?v=uFgh3C2PeCY |
| G8.3 (Section 8.4) Use Negative and Zero Exponents. |
Simplify using only positive exponents!
(3X^3 Y^2 )^3 /(5X^3 Y^2 ) ^2 |
8.3 Practice 8.3 Answers |
http://www.youtube.com/watch?v=9svqGWwyN8Q |
| G8.4 (Sections 8.6 & 8.7) Calculate exponential growth and decay. |
The population of Smallville is increasing at 14% per year. In 2000 the population was 12,567. What was the population at the end of 2013? |
8.4 Practice 8.4 Answers |
http://www.youtube.com/watch?v=gy9x0VqFWrQ
http://www.youtube.com/watch?v=_8KltTEMUV4 |
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| Chapter 9 |
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| G9.1 (Section 9.1) Add or subtract two polynomials. |
(4x^ 2 -5x + 6) - (6x^ 2 +8x -9) |
9.1 Practice 9.1 Answers |
http://www.youtube.com/watch?v=IDpnNnjFB1c |
G9.2 (Sections 9.2 & 9.3) Multiply polynomials.
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(7x -5) (4x + 7) |
9.2 Practice 9.2 Answers |
http://www.youtube.com/watch?v=uRkfAgQZAhY |
G9.3 (Sections 9.5, 9.6 & 9.7) Factor polynomials. (using GCF, difference of perfect squares , or general quadratic trinomial) |
Factor: 4x^2 + 8x +12
Factor: x ^2 -49
Factor: x ^2 + 6x + 9 |
9.3 Practice 9.3 Answers |
http://www.youtube.com/watch?v=Nj9GgAM-dTQ
http://www.youtube.com/watch?v=wvFr1BqU4g8
http://www.youtube.com/watch?v=qVL0U5jEI9g |
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| Chapter 10 |
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| G10.1 (Section 10.2) Solve 2 step radicals. |
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10.1 Practice 10.1 Answers
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http://www.youtube.com/watch?v=nmISQVIqQYA
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| G10.2 (Section 10.5) Use the quadratic formula. |
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10.2 Practice 10.2 Answers |
http://www.youtube.com/watch?v=s80J2dAUUyI
http://www.youtube.com/watch?v=T5ysVtDRp8M |
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| Chapter 11 |
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| G11.1 (Section 11.1) Solve an inverse variation equation. |
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11.1 Practice 11.1 Answers |
http://www.youtube.com/watch?v=5_90IciEE5E
http://www.youtube.com/watch?v=YkGBiyZgElM |
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| Chapter 12 |
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G12.1 (Section 12.3) Use the Pythagorean Theorem.
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12.1 Practice 12.1 Answers |
http://www.youtube.com/watch?v=0HYHG3fuzvk |
| G12.2 (Section 12.34) Apply the Distance Formula. |
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12.2 Practice 12.2 Answers |
http://www.youtube.com/watch?v=xHPRN4iMhPY |
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