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Balancing Equations Practice
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Balancing Equations Practice
At a football tournament, teams earn points for goals and bonus challenges. An equation is balanced when both sides have the same value. Solve each task; show working where asked.
Decode the scores
Use inverse operations to find the unknown value.
1.Tevita’s team has x points from goals and earns 7 bonus points. The scoreboard shows 19 points altogether: x + 7 = 19. What is x?
2.Aisha’s team starts with 24 points, then loses x points after a rules penalty. They finish on 16 points: 24 − x = 16. Find x.
3.Sione’s team scores the same number of points in each of 3 matches. Altogether they score 27 points. Write and solve an equation for the points, x, scored in each match.
4.Which value of x makes the equation 2x + 5 = 17 true?
- x = 5
- x = 6
- x = 11
- x = 22
Keep both sides balanced
Whatever operation you use on one side of an equation, use it on the other side too.
5.Solve 4x − 3 = 21. Show the steps you use to keep the equation balanced.
6.Solve 5x + 8 = 3x + 20. Show how you collect the x terms on one side.
7.True or false? The equation 3(x + 2) = 21 has solution x = 5. Check by substituting 5 into both sides.
TrueFalse
8.A player says that x = 4 solves 2x + 9 = 18. Is the player correct? Substitute x = 4 and explain.
9.Fill in the missing number to make a balanced equation: 7x − 4 = 3x + __, when x = 5.
10.The final is tied. One team’s score is represented by 3x + 2 and the other team’s score is 20. Find x, then explain what the equal sign tells you about the scores.
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