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

3 times m minus 5.

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

Algebraic terminology

100

What is the name that we give the letters in algebra?

Pronumeral

200

What is the name for the unknown number in an algebraic expression?

Variable

300

What is the constant in this algebraic expression:

2m + 3?

3

400

What is the number before the pronumeral in an algebraic expression called?

Co-efficient

500

What is the difference between an algebraic expression and an algebraic equation? 

An algebraic equation has an = sign and an expression has no = sign.