Solve one-step equations with rational numbers.
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This lesson bridges a gap from 6.EE.7 to 7.EE.4a. Now that students have learned to compute with rational numbers, including those with negative values, those numbers are incorporated into one-step equations.
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Is $${68}$$ a solution to $${{3\over4}x=51}$$? Why or why not?
What mistake did the student make in each example? What are the correct solutions?
Solving Simple Equations by Michael Pershan is made available on Math Mistakes under the CC BY 3.0 license. © 2017 Math Mistakes, all rights reserved. Accessed Nov. 6, 2017, 9:18 a.m..
Find the value of $$x$$ in each equation below. Check your answer using substitution.
a. $$x - 14 = -5$$
b. $$x + 8 = - 1$$
c. $${1 \over 2}x=-14$$
d. $$-{x \over 3}=-9$$
A town's total allocation for firefighters’ wages and beneﬁts in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and beneﬁts at $20,000 per firefighter, write an equation whose solution is the number of firefighters the town can employ if they spend their whole budget. Solve the equation.
Firefighter Allocation, accessed on Nov. 6, 2017, 9:04 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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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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Solve each equation for $$x$$.
a. $$x -24= -6$$
b. $$-{{3}\over5}x=42$$
Trevor has $178 in his bank account at the start of the week. He makes one withdrawal during the week. At the end of the week, Trevor gets a notice from the bank that he has a negative balance of -$62. Write and solve an equation to determine how much money Trevor took out in his withdrawal.
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