Simple
Worded
Distribution
Equivalent
Stating the steps
100
Solve the following equation to find the value of b. 5b + 3 = 28
b = 5
100
Write the equation for the worded problem using x as the unknown. Five is subtracted from y to give the result of 3.
y - 5 = 3
100
Solve the linear equation to find the value of x. 3(2x + 1) = 18x
x = 1/4
100
Solve the linear equation to find the value of b. 4b + 1 = 2b - 15
b = -8
100
To obtain p from 5p - 4 you would need to:
Add 4 then divide by 5
200
Solve the linear equation to find the value of f. 3f - 2 = -14
f = -4
200
Write the equation for the worded problem using x as the unknown. Three more than two times the number is 13.
2x + 3 = 13
200
Solve the linear equation to find the value of x. 5(7x + 2) = 65x
x = 1/3
200
Solve the linear equation to find the value of p. 30 - p = 5p + 6
p = 4
200
To obtain n from1 - 4n you would need to...
Subtract 1 then divide by 4.
300
Solve the linear equation to find the value x. 3x/7 + 5 = 8
x = 7
300
Write the equation for the worded problem using x as the unknown. Subtracting eleven from four times a certain number gives the same result as subtracting two times the number from seven.
4x - 11 = 7 - 2x
300
Solve the linear equation to find the value of x. - 4(3 - x) + 8 = - 12
x = -2
300
Solve the linear equation to find the value of d. 4(2d - 3) = 6d + 2
d = 7
300
To obtain k from 2k / 3 + 1 = 3, you would need to...
Add 1 to RHS Multiply RHS by 3 Divide answer by 2
400
Solve the linear equation to find the value of r. x - 4 /3 = 17
x = 55
400
Write the equation for the worded problem using x as the unknown. Sam divided his bag of forty two lollies so that he got twice as many as Nick, and Minh was given three times as many as Nick.
x + 2x + 3x = 42
400
Solve the linear equation to find the value of x. - 7(5 -2x) - 6x = 13
x = 6
400
Solve the linear equation to find the value of h. 5(2h + 3) = 4(3h +1)
h = 11/2 or h = 5 1/2
400
To obtain g from g - 11 = 5 - g, you would need to...
Group like terms. Add the pronumerals Add the constants
500
Solve the linear equation to find the value of x. 6x + 3x - 4 = 14
x = 2
500
Write the equation for the worded problem using x as the unknown. Amy is twice as old as Lucy. Three years from now, the sum of their ages will be 42.
(x + 3) + (2x + 3) = 42
500
Solve the linear equation to find the value of x. 3(7 - 2x) / 16 = 1/4
x = 17/6 or x = 2 5/6
500
Solve the linear equation to find the value of y. 4(2y + 3) / 5 = 5(2 - y) / 2
y = 26/41
500
To obtain m from 3(m + 2) = m -5, you would need to...
Expand the brackets. Group like terms. Subtract m from 3m. Subtract 6 from - 5 Divide the RHS by 2