Write and solve multi-step equations to represent situations, with variables on one side of the equation.
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The length of a rectangle is 3 cm less than twice the width of the rectangle. If the perimeter is 75 cm, what are the dimensions of the rectangle?
After collecting coins for a month, you count them to see how much money you have. You determine that you have 12 fewer quarters than you have nickels, and you have twice as many dimes as you have quarters. Altogether, the dimes, nickels, and quarters add up to $10.60. How many of each coin do you have?
Todd and Jason are brothers. Todd says, “I am twice as old as Jason was two years ago.” The sum of the brother’s ages is 38. How old is each brother?
Solve the equations.
a. $${{{2(x-4)}\over9}={{3-7}\over6}}$$
b. $${x-0.8x(3)+14.12=0.75(8)}$$
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle.
Grade 8 Mathematics > Module 4 > Topic A > Lesson 5 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
School uniform shirts normally cost $15 each but are on sale for 30% off the original price. You also have a coupon for $10 off the cost before you take the percent discount. If you have $150 to spend, which of the following equations will help you to determine how many shirts, $${ x}$$, you can buy?
a. $${0.7(15x)-10=150}$$
b. $${0.7(15x-10)=150}$$
c. $${15x-0.7(10)=150}$$
d. $${15(0.7x-10)=150}$$
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