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Year 10 Algebra Scaffolding

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Year 10 Algebra Scaffolding

Show your working for the equation and factorising questions. Simplify expressions by collecting like terms.

Algebraic expressions

1.In the expression 8m − 4n + 9, which number is the coefficient of m?

8
−4
9
m

2.Simplify 9p − 4p + 2p.

3.Expand and simplify 4(2x − 3).

4.Collect like terms in 6a + 5b − 2a + 3b.

5.Match each expression to its simplified form.

3x + 7x
12 − 4y + y
2(a + 3) + 4a
4b − 9 + 2b + 12

10x
12 − 3y
6a + 6
6b + 3

Solving linear equations

6.Solve for x: x − 9 = 14.

7.Find y if 5y = 45.

8.Solve 3x + 8 = 26. Show the steps you use.

9.Which value of t makes 7t − 5 = 30 true?

t = 3
t = 5
t = 7
t = 35

10.Solve 4(y + 2) = 28.

Factorising and applying algebra

11.Factorise x² + 9x + 20.

12.Factorise 3x² − 12x by taking out the highest common factor.

13.A rectangle has length (x + 5) cm and width (x − 1) cm. Its perimeter is 32 cm. Write an equation for the perimeter and solve it to find x.

14.Bodhi buys x juice bottles at $3 each and (x + 2) snack bars at $2 each. The total cost is $29. Write an equation for the purchase, then calculate how many juice bottles Bodhi buys.

15.A number is multiplied by 6, then 11 is subtracted. The result is 31. Write and solve an equation to find the number.