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Algebra Basics Worksheet
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Algebra Basics Worksheet
Complete each question. Show your working for calculations and equations.
Algebra language
1.Match each algebra word to its meaning.
- Variable
- Term
- Expression
- Equation
- Coefficient
- One number, variable, or product of numbers and variables
- The number multiplying a variable
- A statement that two expressions have the same value
- A letter that stands for a number
- Numbers, variables and operations written without an equals sign
2.Select all the variables in this list: 8, p, −, r, 12.
- 8
- p
- −
- r
- 12
3.How many terms are in 5a − 3b + 9?
- 1
- 2
- 3
- 4
4.Which option is an equation?
- 6m + 4
- 3k − 2 = 10
- 8x + y
- 15 − q
5.In 11v + 6, name the variable, coefficient and constant.
6.How many terms are in 2x + 4y − 7?
7.Is 9t − 4 = 23 an expression or an equation? Give one reason.
Writing and using algebra
8.Write an expression for 6 more than a number h.
9.Write an expression for four times the number z, then subtract 3.
10.Write an expression for 8 less than the number c.
11.Write an expression for the total of x and 17.
12.Write an equation for a number w decreased by 5 giving a result of 14.
13.A community hall charges $18 to book a room, plus $12 for each hour h. Write a formula for the total cost C.
14.A rectangle has length (x + 3) cm and width 5 cm. Write an expression for its perimeter.
15.Use P = 2l + 2w to find the perimeter of a rectangle with length 9 cm and width 4 cm.
16.A snack pack costs $7.50. Write a formula for the cost C of n snack packs.
17.Use A = lw to calculate the area of a rectangle that is 6 m long and 5 m wide.
Simplifying expressions
18.Simplify 4x + 7x.
19.Simplify 12a − 5a.
20.Simplify 5y + 4 + 2y.
21.Simplify 9m + 3 − 4m + 8.
22.Simplify 3p + 6q + 5p.
23.Simplify 8b − 6 + 3b + 10.
24.Expand and simplify 4(x + 3).
25.Expand 2(3n + 5).
26.Simplify 6r + 2s − r + 4s.
Solving simple equations
27.Solve x + 9 = 17.
28.Solve 4y = 28.
29.Solve 3x + 4 = 19.
30.A square has perimeter 36 cm. Its perimeter is given by 4s = 36, where s is the side length. Find s.
31.Solve a − 8 = 13.
32.Solve b + 16 = 31.
33.Solve 6c = 42.
34.Solve d ÷ 5 = 8.
35.Solve 5m + 2 = 27.
36.Solve 8n − 6 = 34.
6 printable pages
Page 1
Page 2
Page 3
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Page 5
Page 6
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