Writing and Solving Equations
Grade 7 · Math · Expressions and Equations · Saskatchewan, Canada
Lesson Summary
Translate word problems into equations and solve them.
Explanation
To solve a word problem with algebra, first identify the unknown and assign it a variable. Next, translate the words into a math equation. Words like 'total' and 'sum' suggest addition, 'difference' suggests subtraction, 'times' or 'of' suggests multiplication, and 'per' or 'divided equally' suggests division. Once you have the equation, solve using inverse operations and check your answer in the original context.
Practice Questions
Q1: Sarah earns $9 per hour and earned $15 in tips. She made $78 total. Write and solve an equation to find how many hours she worked.
Answer: 9h + 15 = 78. Subtract 15: 9h = 63. Divide by 9: h = 7. She worked 7 hours.
Q2: Three times a number decreased by 4 equals 17. Find the number.
Answer: 3n − 4 = 17. Add 4: 3n = 21. Divide by 3: n = 7.
Q3: A gym charges a $25 registration fee plus $30 per month. Marco paid $175 so far. How many months has he been a member?
Answer: 30m + 25 = 175. Subtract 25: 30m = 150. Divide by 30: m = 5 months.
People Also Ask
What is Writing and Solving Equations in Grade 7 Math?+
Writing and Solving Equations is a lesson in the Expressions and Equations chapter of Grade 7 Math. It is part of the Saskatchewan, Canada school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Writing and Solving Equations?+
Writing and Solving Equations is taught in Grade 7 as part of the Math curriculum in Saskatchewan, Canada.
How can I help my child with Expressions and Equations in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Expressions and Equations topics.