Year 7 Algebra Introduction

Create expressions from words

100

Translate the phrase "five more than a number" into an algebraic expression.

5 + n

200

Express the phrase "twice a number increased by 3" as an algebraic expression.

2x + 3

300

Write an algebraic expression for "three less than twice a number plus 5."

(3 - 2x) + 5

400

Turn the words "the sum of a number and 8" into an algebraic expression.

n + 8

500

What is the algebraic expression for "four times a number decreased by 2"?

4x - 2

Substitution

100

Find the value of 3m 

if m = 4

12

200

Find the value of y - 5

 if y = 10

5

300

Find the value of 2k + 5 

if k = 10

25

400

Find the value of m/3 - 2 

if m = 9

1

500

Find the value of m² + m 

if m = 3

12

Shorthand

100

Simplify 

3 xxm+2

3m+2

200

Simplify  m-:8+7 

m/8+7

300

Simplify  mxx(2xxb+4) 

m(2b+4)

400

Simplify 

3xxc-: 8+9-:m

(3c)/8+9/m 

500

Simplify 

mxxm-:8+2xxm

m^2/8+2m

Translate into words

100

Represent in words: 2m

2 groups of the number m

200

Represent in words: 2 + m

Add m to the number 2

300

Represent in words: 3m - 5

Subtract 5 from 3 groups of m

400

Represent in words:  3(x+8) 

3 groups of a number plus 8 or 

Add 8 to a number then multiply the result by three.

500

Represent with words:  (m+4)/2 

Increase m by 4 then divide the result by 2