Simplify with Distributive Property - Examples & Practice
Read this topicExplanations 4
- (Video) An Intro to Solving Linear Equations by PatrickJMT In this video, Patrick JMT uses the distributive property to solve some more complex linear equations. Summary\large{\…
By Ben Ferrara, Zora Gilbert, Alex Federspiel, Liza Sulkin, Amy Feraco, Sarah Walker, Anusha Rahman
- The Distributive Property When you see a complex equation with parentheses in it, the PEMDAS part of your brain should remind you that you need to take care of the parentheses (…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Sarah Walker, Anusha Rahman
- (Video) Solving Multi-Step Equations by Friendly Math 101 Here's a video by Friendly Math 101 showing you how to solve equations where you have to use the distributive property.…
By Alex Federspiel, Amy Feraco, Sarah Walker, Anusha Rahman
- When solving problems, you may encounter a situation where you'll need to use the distributive property. We can use the distribute property as normal to be able to solve this pr…
By Anusha Rahman
Problems 36
- Solve for xxx. 3x−1=−6(x+1)3x-1=-6(x+1)3x−1=−6(x+1)
- Solve for xxx. 2(2x+3)=−2(4x+3)2(2x+3)=-2(4x+3)2(2x+3)=−2(4x+3)
- Solve for xxx. −7x+4(1+4x)=−3x−14−7x+4(1+4x)=−3x−14−7x+4(1+4x)=−3x−14
- Solve for xxx. 4x−50=6(−2x+3)4x−50=6(−2x+3)4x−50=6(−2x+3)
- Solve for xxx. 10x+3(5x−3)=5(6x+4)−710x+3(5x−3)=5(6x+4)−710x+3(5x−3)=5(6x+4)−7
- Solve for xxx. −4(x−1)+9(x−3)=7x+7−6x−4(x−1)+9(x−3)=7x+7−6x−4(x−1)+9(x−3)=7x+7−6x
- Solve for xxx. −0.3(2.47−x)=8.38-0.3(2.47-x)=8.38−0.3(2.47−x)=8.38 Round answer to nearest hundredth.
- Solve for zzz. 1.49(1.6z+0.74)=30.371.49(1.6z+0.74)=30.371.49(1.6z+0.74)=30.37 Round answer to nearest hundredth.
- Solve for xxx. 2(x+3)=−122(x+3)=-122(x+3)=−12
- Solve for xxx. 4(2x+6)=884(2x+6)=884(2x+6)=88
- Solve for xxx. −(3x−6)=27-(3x-6)=27−(3x−6)=27
- Solve for xxx. 13 (9x−33)=22\frac{1}{3}\ (9x-33)=2231 (9x−33)=22
- Solve for xxx. 4(2x+5)=2(6x−8)4(2x+5)=2(6x-8)4(2x+5)=2(6x−8)
- Solve for xxx. 3(10−5x)=−3(14−7x)3(10-5x)=-3(14-7x)3(10−5x)=−3(14−7x)
- Solve for xxx. 9(8x+3)=−6(9x+6)9(8x+3)=-6(9x+6)9(8x+3)=−6(9x+6)
- Suppose that 2x+3y=72x + 3y = 72x+3y=7. What is the value of 4x+6y4x + 6y4x+6y?
- Solve for xxx. 1828+12x=35(x+13)\frac{18}{28}+\frac{1}{2}x=\frac{3}{5}\left(x+\frac{1}{3}\right)2818+21x=53(x+31)
- How many solutions does 2x+2=2(−1+x+2)2x+2 = 2(-1 + x + 2)2x+2=2(−1+x+2) have?
- What is the biggest indicator that you will need to use the distributive property?
- Which of the following illustrates the distributive property?
- Does the distributive property apply to division? In other words, if I divide a quantity a+ba+ba+b by a nonzero number ccc, and you instead add up the individual fractions ac\fr…
- (x2+x3)×6=12\left(\frac{x}{2}+\frac{x}{3}\right)\times6=12(2x+3x)×6=12 What is xxx?
- Solve for xxx. 25×(14+52x)=725\frac{2}{5} \times \left(\frac{1}{4}+\frac{5}{2}x\right)=\frac{7}{25}52×(41+25x)=257
- Solve for xxx. 3x×(x+5)=(x2+10)×33x\times (x+5) = (x^2+10)\times 33x×(x+5)=(x2+10)×3
- For which of the following equations, you cannot apply the distributive property? Ignore cases of multiplication by ±1\pm 1±1.
- Solve for xxx. 12÷(3x+4)=x12\div(\frac{3}{x}+4) = x12÷(x3+4)=x
- Simplify the following equation: 3x(2+x)=2(x2+x)3x(2+x) = 2(x^2 +x)3x(2+x)=2(x2+x)
- Solve for xxx using the distributive property. 2(x+1)=62(x+1) =62(x+1)=6
- Solve for xxx using the distributive property. 32x(26x+1)=32x+2\frac{3}{2}x(\frac{2}{6}x+1)=\frac{3}{2}x+223x(62x+1)=23x+2
- Solve for xxx: 3x(x+4)=6(x2+x)3x(x+4) = 6(x^2 +x)3x(x+4)=6(x2+x)
- Solve for xxx: −(x+1)=5-(x+1)=5−(x+1)=5
- Solve for xxx: 7(x−8)=9x(2+1x)+17(x-8)=9x(2+\frac{1}{x})+17(x−8)=9x(2+x1)+1
- Solve for xxx: 4(3x−4)=144(3x-4)=144(3x−4)=14
- Solve for xxx: 2(x2−3)=1x(8x2+x)+32(x^2-3)=\frac{1}{x}(8x^2+x)+32(x2−3)=x1(8x2+x)+3
- Solve for positive xxx: 2(7x−3)=5(x2+8)−492(7x-3)=5(x^2+8)-492(7x−3)=5(x2+8)−49
- Solve for xxx: 6x(1x+1)=366x\left(\frac{1}{x}+1\right)=366x(x1+1)=36