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One-Step Linear Equations
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One-Step Linear Equations
Choose the best answer where options are given. For solving questions, show your steps and check your solution when asked.
Equation essentials
1.In the equation 4 + n = 13, which symbol is the variable?
- 4
- n
- 13
- +
2.What does the equals sign tell you in 8 = 3 + 5?
- The expressions on each side have the same value
- The left side is always larger
- The right side is always larger
- The numbers must be multiplied
3.In 5a = 25, which two numbers are constants?
4.To isolate r in r + 9 = 16, which operation should be applied to both sides?
- Add 9
- Subtract 9
- Multiply by 9
- Divide by 9
5.Match each equation with the operation that undoes the operation applied to the variable.
- x − 6 = 10
- 7p = 35
- q ÷ 4 = 3
- m + 12 = 20
- Multiply by 4
- Add 6
- Subtract 12
- Divide by 7
Solve each equation
Use an inverse operation to find the value of the variable.
6.Solve a + 8 = 21. Find a.
7.Solve 6b = 42. Find b.
8.Solve c − 11 = 5. Find c.
9.Solve d ÷ 5 = 9. Find d.
10.Solve e + 14 = 6. Find e.
11.Solve 9f = 63. Find f.
12.Solve g − 7 = −2. Find g.
13.Solve h ÷ 3 = 8. Find h.
Equations in everyday situations
14.Freya has some trading cards. After getting 9 more, she has 23 cards. Write an equation and work out how many cards she had at first.
15.A tray holds 6 muffins. There are 48 muffins altogether. Write an equation and find how many full trays there are.
16.A number is divided by 4 to give 7. Write an equation for the situation and find the number.
17.Check the solution to x − 8 = 17 by substituting x = 25. Complete: 25 − 8 = ____. Does this give 17?
3 printable pages
Page 1
Page 2
Page 3
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