Changing the subject
Multi-Step Equations
Forming and Solving Equations
Expressions
Solving Inequalities
100

Make x the subject

4x + y = z

What is: 

x = (z - y)/4

100

Solving Equations

4x + 3 = 7

What is:

x = 1

100

A bag has some marbles in it. 7 marbles are added. Now there are 12 marbles in the bag. How many were there at the start?

5 marbles

100

Simplify the expression:

b + 8 - 9b +1

What is:

9 - 8b  or -8b + 9

100

Solving Inqualities

3 + 10c < -37

What is: 

c < -4

200

Make x the subject

3x/y = y

What is: 

x = y2/3

200

Solving Equations

254 = -2v - 6(2 +6v)

What is:

v = -7

200

Juan is x years old. Ana is 5 years older than Juan. The sum of their ages is 43. How old is Ana?


24

200

Simplify:

-4(2 - 6b)

What is:

24b - 8  or  -8 + 24b

200

 Solving Inqualities

4(k + 1)> -68

What is:

k > -18

300

Make x the subject

xy + xz = 4

What is: 

x = 4/(y + z)

300

Solving Equations

3(2x-3)+4(x-4)=23+4x

x=8

300

A bookstore sells books for $15 each, and they have sold X books so far. If their total revenue is $600, how many books have they sold?

40 books

300

Simplify: 

8x - 9(8 - 2x)

What is:

26x - 72

300

Solving Inqualities

-8(6 +x)<16

What is:

x > -8

400

Make x the subject

3xy = 4xz + 1

What is:

x = 1/(3y - 4z)

400

Solving Equations

-5(8n - 4) - n = - 16 - 5n

What is:

n = 1

400

A rectangle's length is 3 times its width, and its perimeter is 40 meters. What is the length of the rectangle?

15 meters

400

Simplify:

8(x - 6) - 5(-6 - 2x)

What is:

18x - 18

400

Solving Inqualities

53 < 8n + 5 < -43

What is:

6 < n < -6

500

Make x the subject

5x - 3xy = 4x + xz + w

What is:

x = w/(1 - 3y - z)

500

Solving Equations

7(x+1)=3(2x-5) - (5-x) 

No Solution

500

Sarah has $1200 saved, and she's saving $50 per month. How many months will it take for her to have $2500 saved?

26 months

500

Simplify

3(x+7)+8x-4-(x+1)+(x+3)(x-3)

x2+10x+7

500

Solving Inqualities

-24 -2x < 14x + 8 < 152 - 2x

What is:

-2 < x < 9