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Linear Equations Practice
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Linear Equations Practice
Help Zoe, Keira and Mere work out the numbers for their marae visit. Use inverse operations to solve, and show your working where space is provided.
Make an equation
Choose a letter for the unknown number and write an equation for each clue.
1.The welcome group has some kete ready. After 6 more are brought over, there are 14 altogether. Write an equation and find how many kete were ready at first.
2.Keira puts the same number of cups on each of 4 tables. There are 28 cups in total. Write an equation and find the number of cups on each table.
3.Zoe shares some name tags equally among 5 helpers. Each helper gets 6 name tags. Write an equation and find the total number of name tags.
Solve and check
Solve each linear equation. Check your answer by substituting it back into the equation.
4.Solve x + 9 = 17. Then check your solution.
5.Solve 5y = 35. Then check your solution.
6.Solve m ÷ 3 = 8. Then check your solution.
7.Solve 3a + 4 = 19. Show the inverse operations you use.
8.Solve 2p − 7 = 11. Show the inverse operations you use.
9.Solve 4(q + 2) = 28. Show how you undo the multiplication and addition.
10.Mere says the solution to 6r − 5 = 31 is r = 4. Is she correct? Substitute r = 4 into the left side and explain.
11.The group needs 3 identical bundles of poi, plus 2 spare poi. There are 20 poi altogether. Let b be the number in each bundle. Write and solve an equation, then check your answer.
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