9. Q9b
Save videos to My Cheatsheet for later, for easy studying.
Video Solution
Q1
Q2
Q3
L1
L2
L3
Similar Question 1
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle (2x - 3y) + (3x +y) </code></p>
Similar Question 2
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(3x+5)-(2x+3)</code></p>
Similar Question 3
<p>A group of musicians who made a CD are paid according to the following breakdown, where <code class='latex inline'>n</code> is the number of CDs sold.</p><img src="/qimages/1553" /> <ul> <li>Find a simplified expression for the total amount paid to the group.</li> </ul>
Similar Questions
Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>Simplify.</p><p><code class='latex inline'> (3xy + 5y^2) - (3xy + 5y^2) + (3xy + 5y^2) </code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle (2y^2 - 3y + 4) + (-5y^2 + 5y -3) </code></p>
<p>Simplify the following.</p><p><code class='latex inline'>\displaystyle 7y - 3y - x^2 + 4x^2 </code></p>
<p> Combine like terms and simplify each expression. State the number of terms before simplification.</p> <ul> <li><code class='latex inline'> \displaystyle 2x + 7 + 5x - 5 </code></li> <li><code class='latex inline'> \displaystyle 3m - 12 - 6m + 2 </code></li> </ul>
<p>A women&#39;s basketball team gives players a bonus of <code class='latex inline'>\$100</code> on top of their base salary for every 3-point basket. Data for some of the team&#39;s players are given.</p><img src="/qimages/1555" /><p><strong>a)</strong> Find a simplified expression for the total earnings for these three players.</p><p><strong>b)</strong> Find the total earnings for these players.</p>
<p>Simplify the following.</p><p><code class='latex inline'>3x -2y + 4x</code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle (5x -4y) - (3x + 2y) </code></p>
<p><code class='latex inline'>(2x -7)+(3x + 8)</code> simplified is</p><p>A. <code class='latex inline'>5x - 15</code></p><p>B. <code class='latex inline'>5x -1</code></p><p>C. <code class='latex inline'>5x + 1</code></p><p>D. <code class='latex inline'>6x -56</code></p>
<p> Expand and simplify as much as possible. </p><p> <code class='latex inline'>\displaystyle (a - ab) - (-a - ab) </code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle (y^2 - 2y + 2) - (3y^2 -2y + 3) </code></p>
<p>Simplify the following.</p><p><code class='latex inline'>\displaystyle \frac{3}{4}w^2 - \frac{2}{3}w^2 + \frac{1}{4}w^2 - \frac{4}{3}w^2 </code></p>
<p>Simplify.</p><p><code class='latex inline'>(4a+5b)+(2a-3b)-(3a-b)</code></p>
<p>A group of musicians who made a CD are paid according to the following breakdown, where <code class='latex inline'>n</code> is the number of CDs sold.</p><img src="/qimages/1553" /> <ul> <li>Find a simplified expression for the total amount paid to the group.</li> </ul>
<p>Use algebra tiles, virtual algebra tiles, or a diagram to model and simplify each expression.</p><p><code class='latex inline'> (2x^2 + 3x +4y^2)+(2x^2+x + 2y^2) </code></p>
<p>Simplify the following.</p><p><code class='latex inline'>\displaystyle 3y^2 - 2y^2 + 4y^2 </code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(7m+4)-(3m+3)</code></p>
<p>Simplify by removing brackets and collecting like terms.</p><p><code class='latex inline'>(4k -3)+(5 + k)+(5k+ 3)</code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(8s + 5)-(s + 5)</code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle (2x - 3y) + (3x +y) </code></p>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle 3xy + 5yz -2xyz + 6xy -xyz </code></p>
<p>Simplify.</p><p><code class='latex inline'> (3y+8)+(-y-5) </code></p>
<p>Courtney and Ben are simplifying <code class='latex inline'>4w^4+w^4+3w^2-2w^2</code>. Who is correct? Explain your reasoning. </p><img src="/qimages/23924" />
<p> Combine like terms and simplify each expression. State the number of terms before simplification.</p> <ul> <li><code class='latex inline'> \displaystyle 5a + 3b + 7a - 10b </code></li> <li><code class='latex inline'> \displaystyle 4y - 11 - 6y + 16</code></li> </ul>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle -(4ab - 3a) - (6ab -4a) + (2ab + 6a) </code></p>
<p>Copy and complete the addition cascade.</p><img src="/qimages/58" />
<p>Simplify.</p><p><code class='latex inline'>\displaystyle 2\frac{1}{2}a + \frac{2}{3}b + \frac{1}{2}a-\frac{1}{3}b </code></p>
<p>A swimming pool manufacturer installs rectangular pools whose length is twice the width, plus 5 m.</p><p>The entire edge of the pool must be fitted with coping, which is a cap used to join the wall of the pool and the deck. Find a simplified algebraic expression that describes the total length of coping needed.</p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle 3h + 1 + 2h + 5 </code></p>
<p> Expand and simplify as much as possible. </p><p> <code class='latex inline'>\displaystyle (a + b) - (a - b) </code></p>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle 2x^2 - 5x + 5x^2 -x </code></p>
<p>Simplify the following.</p><p><code class='latex inline'>2x + 3x</code></p>
<p>Simplify the following.</p><p><code class='latex inline'>\displaystyle -(2x + 3y) - (5x - 4y) + (2x - y) </code></p>
<p>Copy each question. Identify the like terms in each and circle the coefficients.</p><p><code class='latex inline'> \displaystyle -\frac{1}{2}y, -4x, 2\frac{1}{2}y, 6x^2 </code></p>
<p>Simplify by removing brackets and collecting like terms.</p><p><code class='latex inline'>(3x + 4)+(7x + 5)</code></p>
<p>Simplify by removing brackets and collecting like terms.</p><p><code class='latex inline'>(4m -1)+(3m-8)</code></p>
<p>Simplify by removing brackets and collecting like terms.</p><p><code class='latex inline'>(6r - 1)+(3r + 2)+(-6r-1)</code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(6t-5)-(3t+7)</code></p>
<p>Simplify.</p><p><code class='latex inline'>(2x^4-3x^2 - 6)+(6x^4 -x^3+4x^2 + 5)</code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle 2y - 3y -x^2 + 3x^2 </code></p>
<p>Simplify the following.</p><p><code class='latex inline'>\displaystyle 3h + 1 + 2h + 5 </code></p>
<p>Name each polynomial based on its degree and number of terms.</p><p><code class='latex inline'>\displaystyle 5 x^{2}+2 x+1 </code></p>
<p>Determine the polynomials that need to be added to each row of the table.</p><p><code class='latex inline'> \begin{array}{c|c|c|c|} &\text{Initial Polynomial} & \text{Polynomial To Be Added} & \text{Final Polynomial} \\ &2x^2y^2 -4y^2 & & 5x^2y^2 - 3y^2 \end{array} </code></p>
<p>Simplify.</p><p><code class='latex inline'> (4x -3)+(x + 8)-(2x - 5) </code></p>
<p>Simplify.</p><p><code class='latex inline'> (k + 2)-(3k -2) </code></p>
<p>Determine the polynomials that need to be added to each row of the table.</p><p><code class='latex inline'> \begin{array}{c|c|c|c|} &\text{Initial Polynomial} & \text{Polynomial To Be Added} & \text{Final Polynomial} \\ &2x^2 - 3x -4 & & -2x^2 + 3x - 6 \\ \end{array} </code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle (3y^2 -2y + 1)-(-5y^2 + 2y -3) </code></p>
<p> Expand and simplify as much as possible. </p><p> <code class='latex inline'>\displaystyle (c - a) - (2c - a) </code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(4d-5)-(2d-3)</code></p>
<p>Copy each question. Identify the like terms in each and circle the coefficients.</p><p><code class='latex inline'> \displaystyle -2g, 3f, -5g </code></p>
<p>Determine the polynomials that need to be added to each row of the table.</p><p><code class='latex inline'> \begin{array}{c|c|c|c|} &\text{Initial Polynomial} & \text{Polynomial To Be Added} & \text{Final Polynomial} \\ &-7xy + 4x & & -7xy + 3x - 2 \\ \end{array} </code></p>
<p>Simplify the following.</p><p><code class='latex inline'>\displaystyle \frac{3}{4}a - \frac{1}{5}b - \frac{1}{4}a + \frac{2}{5}b </code></p>
<p>Use algebra tiles, virtual algebra tiles, or a diagram to model and simplify each expression.</p><p><code class='latex inline'> (y^2+3y+1)+(y^2+ 2y+2) </code></p>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle 2x + 3y + 4z -4x + 3y -z </code></p>
<p>A swimming pool manufacturer installs rectangular pools whose length is twice the width, plus 5 m.</p><p>Calculate the new amount required and compare this with your prediction. Explain the results.</p>
<p>Simplify.</p><p><code class='latex inline'>(5y-4)+(7y-3)</code></p>
<p>Simplify by removing brackets and collecting like terms.</p><p><code class='latex inline'>(y + 2)+(3 + 6y)</code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(9-6w)-(-6w -8)</code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle \frac{3}{4}a -\frac{1}{5}b -\frac{1}{4}a + \frac{2}{5}b </code></p>
<p>Simplify.</p><img src="/qimages/51343" />
<p>Simplify the following.</p><p><code class='latex inline'>-(-a^2 - b - (-c)^2)</code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(3r+7)-(2r-5)</code></p>
<p>Simplify.</p><p><code class='latex inline'> (8c -6) -(c + 7) </code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(5h + 9)-(-5h+6)</code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle (3x^2 -4xy + 6y^2)-(6x^2 -8xy - 3y^2) </code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle \frac{3}{4}w^2 -\frac{2}{3}w^2 + \frac{1}{4}w^2 -\frac{4}{3}w^2 </code></p>
<p>Simplify the following.</p> <ul> <li>(a) <code class='latex inline'>-(a - 3)</code></li> <li>(b) <code class='latex inline'>-(2c - 2)</code></li> <li>(c) <code class='latex inline'>-(2c - 4a - c)</code></li> </ul>
<p> Expand and simplify as much as possible. </p><p> <code class='latex inline'>\displaystyle (c- 2) - (2c - 2) </code></p>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle (3xy + 5y^2) - (3xy + 5y^2) + (3xy + 5y^2) </code></p>
<p>Simplify.</p><p><code class='latex inline'>(3x+5)+(4x-3)</code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle 7y - 3y -x^2 + 4x^2 </code></p>
<p>Simplify by removing brackets and collecting like terms.</p><p><code class='latex inline'>(5 - 3d)+(d-6)</code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(6v -9)-(8- 3v)</code></p>
<p>Simplify the following.</p><p><code class='latex inline'>\displaystyle (y^2 -2y + 2) - (3y^2 -2y + 3) </code></p>
<p>Simplify.</p><img src="/qimages/51344" />
<p>Determine the polynomials that need to be added to each row of the table.</p><p><code class='latex inline'> \begin{array}{c|c|c|c|} &\text{Initial Polynomial} & \text{Polynomial To Be Added} & \text{Final Polynomial} \\ &x^2 + 3x & & -x^2 + 5x \\ \end{array} </code></p>
<p>Simplify.</p><p><code class='latex inline'> (5xy^2 + 6x - 7y) - (3xy^2-6x + 7y) </code></p>
<p>A swimming pool manufacturer installs rectangular pools whose length is twice the width, plus 5 m.</p><p>Predict how the amount of coping will change if you double the width of the pool.</p>
<p>Use algebra tiles, virtual algebra tiles, or a diagram to model and simplify each expression.</p><p><code class='latex inline'> (2x + 5)+(3x + 2) </code></p>
<p>Simplify the following.</p><p><code class='latex inline'>\displaystyle (3x^2 - 4xy + 6y^2) - (6x^2 + 8xy -3y^2) </code></p>
<p>Simplify the following</p><p><code class='latex inline'>\displaystyle (3x^2 - 4xy + 6y^2) + (6x^2 -8xy -3y^2) </code></p>
<p>Simplify.</p><p><code class='latex inline'> (2uv^2-3v)-(v + 3u)+(4uv^2 -9u) </code></p>
<p>Simplify the following.</p><p><code class='latex inline'>(3x + 2) - (5x + 2)</code></p>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle (2x + 3y) + (5x - 4y) + (2x -y) </code></p>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle -4abc - 3ab -6abc - 4ab </code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(3x+5)-(2x+3)</code></p>
<p>Simplify.</p><p><code class='latex inline'> (3p^2-8p+1) + (9p^2 + 4p -1) </code></p>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle 5y -4y </code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(6m + 4)-(2m + 1)</code></p>
<p>Simplify the following.</p><p><code class='latex inline'>(2x + 3) + (5x -4)</code></p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(2x + 3)+(x + 6)</code></p>
<p>Simplify.</p><img src="/qimages/51346" />
<p>Simplify.</p><p><code class='latex inline'>(3p^2-2p)+(3p+5q)-(2q-2p^2)</code></p>
<p>Simplify.</p><p><code class='latex inline'>(4p^2+8p+2)+(2p^2-3p-4)</code></p>
<p>Simplify.</p><p><code class='latex inline'>(6m^2-5mn-5n^2)-(m^2+mn-4n^2)</code></p>
<p>Simplify the following.</p><p><code class='latex inline'>\displaystyle (3xy + 5y^2) - (3xy + 5y^2) + (3xy + 5y^2) </code></p>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle y^2 + 5xy + y^2 - xy </code></p>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle 3xy^2 + 3xy^2 </code></p>
<p>Simplify the following.</p><p><code class='latex inline'>3y^2 -2y^2 +4y^2</code></p>
<p>Simplify the following.</p><p><code class='latex inline'>\displaystyle (2x + 3) + (5x - 4) </code></p>
<p> Expand and simplify as much as possible. </p><p> <code class='latex inline'>\displaystyle (a - 2) - (2a - 2) </code></p>
<p><code class='latex inline'>(3x - 5)-(x -4)</code> simplified is</p><p>A. <code class='latex inline'>2x -1</code></p><p>B. <code class='latex inline'>2x + 1</code></p><p>C. <code class='latex inline'>2x - 9</code></p><p>D. <code class='latex inline'>2x + 9</code></p>
<p>Copy each question. Identify the like terms in each and circle the coefficients.</p><p><code class='latex inline'> \displaystyle -3.75rs, 3.3r, -5.1s, 4.25rs </code></p>
<p>Simplify.</p><img src="/qimages/51345" />
<p>Determine whether each pair of functions is equivalent.</p><p><code class='latex inline'>f(x) =(2x^2 + 7x -2)-(3x + 7)</code></p><p><code class='latex inline'>g(x)=2x^2+4x-5</code> </p>
<p>Simplify by adding the opposite polynomial.</p><p><code class='latex inline'>(5s-2)-(3s+5)</code></p>
<p>Simplify the following.</p><p><code class='latex inline'>(3x - 5) + (-2x + 6)</code></p>
<p>A group of musicians who made a CD are paid according to the following breakdown, where <code class='latex inline'>n</code> is the number of CDs sold.</p> <ul> <li>The table shows sales achievement levels for the Canadian recording industry. </li> </ul> <img src="/qimages/1554" /><p>Find the total amount paid to the group if their CD.</p> <ul> <li>i) sells 100 copies</li> <li>ii) reaches gold status</li> <li>iii) reaches diamond status</li> </ul>
<p>Simplify.</p><p><code class='latex inline'> (7x -9)+(x - 4) </code></p>
<p>Simplify.</p><p><code class='latex inline'>\displaystyle \frac{4}{5}a - \frac{1}{5}a </code></p>
How did you do?
I failed
I think I failed
I think I got it
I got it
Another question?
Found an error or missing video? We'll update it within the hour! 👉
Report it
Save videos to My Cheatsheet for later, for easy studying.