Year 7 Algebra Revision

Substitution

100

2p + 5= ____ when p = 17

39

200

2p/3 = ____ when p=6

4

300

8k = ____ when k=1/4

2

400

If b²+d = 24, which of the following values could b and d have?

a) b=4 and d=8

b) b=8 and d=4

c) b=3 and d=18

a) b=4 and d = 8

500

If a = 5, b = 2 and c = 7 so: ab+c = _____

17

Like Terms

100

Collect the like terms:

3z + 7y − z − 5y =

2x - 2y

200

Fill in the blank: 

3a + __ + 4b = 7a + 4b

4a

300

Simplify this expression by collecting like terms:

15 ab + 5 bc − 6 ac + 9 + 14 ac − 5 − 5 bc

= 15ab +8ac + 4

400

The length of the line segment shown could be expressed as 𝑎+𝑎+3+a+1. Write the length in the simplest form. 

3a+4

500

Simplify: 2𝑐𝑑+5𝑑𝑐−3𝑑+2𝑐

7cd-3d+2c

Expanding

100

10(6𝑔−7)

60𝑔−70

200

2𝑑(𝑣+𝑚)

2𝑑𝑣+2𝑑𝑚

300

8𝑑(𝑠−3𝑡)

8𝑑𝑠−24𝑑𝑡

400

x(x+7)

x²+7x

500

(x+2)(x-5)

x²-3x-10

Creating an Equation

100

A number, 𝑥, has 3 added to it and the result is multiplied by 5.

5(𝑥+3)=5𝑥+15

200

A number, 𝑧, has 4 subtracted from it and the result is multiplied by 3.

3(𝑧−4)=3𝑧−12

300

In a school classroom there is one teacher as well as an unknown number of boys and girls.

If the number of boys is 𝑏 and the number of girls is 𝑔, write an expression for the total number of people in the classroom, including the teacher.

𝑏+𝑔+1

400

The distance around a rectangle is given by the expression 2(𝑙+𝑤), where 𝑙 is the length and 𝑤 is the width. What is an equivalent expression for this distance?

2𝑙+2𝑤

500

The area of a rectangle with length 5 and width 𝑥

5x

Worded Questions

100

The perimeter of a rectangle is given by the expression 2𝑤+2𝑙  where 𝑤 is the width and 𝑙 is the length.

Find the perimeter of a rectangle if 𝑤=4 and 𝑙=10.

28

200

The perimeter of an isosceles triangle is given by the expression 𝑥+2𝑦, where 𝑥 is the base length and 𝑦 is the length of the other sides. 

Find the perimeter if 𝑥=3 and 𝑦=5.

13

300

If pencils cost $𝑥 each, write an expression for the cost, in dollars, of 10 pencils.

10x

400

If pencils cost $𝑥 each, write an expression for the cost, in dollars, of 3 packets of pencils, if each packet contains 5 pencils.

15𝑥

500

A carpenter charges a $40 call-out fee and then $80 per hour. This means the total cost, in dollars, for 𝑥 hours of work is 40+80𝑥.

$200