Writing Expressions
The sum of a number g and 14.
g + 14
Simplify x + x + x.
3x
Evaluate 24 ÷ k, where k = 6.
= 24 ÷ 6
= 4
Solve 4w = 20.
4w ÷ 4 = 20 ÷ 4
w = 5
Solve 9c + 1 = 10.
9c + 1 - 1 = 10 - 1
9c = 9
9c ÷ 9 = 9 ÷ 9
c = 1
The product of 3 and a number p.
3p
Simplify 3x + 5y + 2x.
5x + 5y OR 5y + 5x
Evaluate 20 - 3y, where y = 4
= 20 - 3(4)
= 20 - 12
= 8
Solve n ÷ 5 = 6.
n ÷ 5 x 5 = 6 x5
n = 6 x 5
n = 30
Solve 8x - 15 = 65.
8x - 15 + 15 = 65 + 15
8x = 80
8x ÷ 8 = 80 ÷8
x = 10
The sum of m divided by twelve and eight
(m ÷ 12) + 8
Simplify 4t + 3w - 2t + 4w.
2t + 7w OR 7w + 2t
Evaluate 14 + 6t + 3 - 2t, where t = 2.
= 14 + 6(2) + 3 - 2(2)
= 14 + 12 + 3 - 4
= 26 + 3 - 4
= 29 - 4
= 25
Solve j + 9 = 4.
j + 9 - 9 = 4 - 9
j = 4 - 9
j = - 5
Solve (m ÷ 5) + 9 = 11.
(m ÷ 5) + 9 - 9 = 11 - 9
m ÷ 5 = 2
(m ÷ 5) x 5 = 2 x 5
m = 10
A large pizza costs $15 plus $2 for every extra topping (t). Write an expression for the total pizza cost.
15 + 2t
Simplify 3x2 + 4y - 6y + 2x2
5x2 - 2y OR -2y + 5x2
Evaluate 3x - y, where x = 5 and y = 2.
= 3(5) - 2
= 15 - 2
= 13
Solve -2s = 90.
-2s ÷ (-2) = 90 ÷ (-2)
s = -45
Solve 1 + 2r = 19.
1 + 2r - 1 = 19 - 1
2r = 18
2r ÷ (2) = 18 ÷ (2)
r = 9
Kai wants to go bowling with friends. They must collect $20 to make the booking, and collect an additional $5 from each friend who comes. Write an expression to show how much money Kai must collect to go bowling. Let x represent the number of friends coming.
20 + 5x
Simplify 10n + 3 + 6n - 4p + 5
16n + 8 - 4p
Evaluate x2 - 3x + y, where x = 4 and y = 6.
= 42 - 3(4) + 6
= 16 - 12 + 6
= 4 + 6
= 10
Solve 25 - 7h = -45
25 - 7h - 25 = -45 - 25
-7h = -70
-7h ÷ (-7) = -70 ÷ (-7)
h = -70 ÷ (-7)
h = 10
Solve 13 - 3n = 9 + 1.
13 - 3n - 13 = 9 + 1 - 13
-3n = 10 - 13
-3n = -3
-3n ÷ (-3) = -3 ÷ (-3)
n = 1