4.04 Equivalent expressions
Determine whether the following expressions are equivalent to 11:
v + 2
2 u + 11 - 2 u
6 + 5
11 + u + 0 - v
12v - 8 + 13 - 12v
10 + 1 + 4u - 2u
11 + u + 0 - v
3u + 15 - 4 - 3v
Determine whether the following expressions are equivalent to 7 k:
5 k - 2 k
6 + k + 6 k - 6
7 + k
2 k + 5 k
3k - 10k
0 + 4k + 3k
\dfrac{14k}{7}
10k - 1 - 17k + 1
Determine whether the following expressions are equivalent to 5 r + 9:
45 r
5 r - 9
9 r + 5
5 r + 11 - 2
9r + 7 - 4r + 2
10r -15r + 9 + 0
-10 + 8r - 3r + 19
2 r + 3 r + 3 + 3 + 3
Determine whether the following expressions are equivalent to \dfrac{1}{4} \times 4 m:
\dfrac{4}{4 m}
4 m \times \dfrac{4}{1}
m
4 m \times \dfrac{1}{4}
8 m \times \dfrac{1}{8}
2m - m
\dfrac{4}{4m}
\dfrac{m}{4}
Determine whether the following expressions are equivalent to 0.4 g + 6.2:
6 + 0.4 g + \dfrac{2}{10}
6.2 g + 0.4
6.6 g
6.4 + 0.2 g
-4 + 0.4g + 10.2
-3g + 8.6 - 2.6g - 2.4
7.5 + \dfrac{0.8g}{2} - 1.3
\dfrac{12.4}{2} + \dfrac{1.6g}{2}
Determine whether the following expressions are equivalent to 4 x + n:
2 n + x + 2 n
n + 4 x
x + 4 n
2 x + n + 2 x
5x - x + n
3x - 2n + x + n
\dfrac{8x}{4} + 2n - n
6n + 10x - 5n - 6x
Determine whether the following expressions are equivalent to 21 w + 4 b:
14 w + 7 w - 4 b
7 w + 7 w + 7 w + 4 b
21 w - 8 b
14 w + 7 w + 4 b
b + b + 2 b + \dfrac{42w}{2}
30 w - 9 w + \dfrac{12b}{-3}
14b + 7b +4w
9w-2b+12w+6b
Determine whether the following expressions are equivalent to 8 x + 3 x + 2:
8 x + 5
11 x + 3 - 1
13 x
11 x + 2
7 x + 4 x + 2
12x + 5 - x - 2
7 + 5x - 5
20x - 11 x + 2 + 2x
Determine whether the following expressions are equivalent to 11 r + 6 w + 10:
6 + 6 w + 10 r + 5
6 w + 10 + 11 r + 0
10 + 6 r + 11 w
5 r + 3 w + 6 r + 10 + 3 w
13r - 15w - 2r + 21w + 10
-10w + 4w - 16r + 5r + 2 + 8
\dfrac{22r}{2} + \dfrac{24w}{4} + \dfrac{10}{2}
14r + 7w + 8w - 3r - 18 + 8
Determine whether the following expressions are equivalent to 5 x - 13 t + 10 r:
2 x + 5 r + 3 x - 13 t + 5 r
2 x + 3 x - 13 t + 10 r
5 x + 10 r - 13 t + 10 r
2 x + 3 x + 13 t - 10 r
7x - 12x + 23t - 10t - 10 r
10x + 15t - 5x - 28t + 8r + 2r
6r + 5t + 18x - 18t - 13x + 4r
\dfrac{10x}{2} + \dfrac{26t}{2} - \dfrac{30r}{3}
Determine whether the following expressions are equivalent to 7 s + 2 b - 4 s:
3 s - 2 b
11 s + 2 b
3 s + 2 b
9 s - 4 b
-3 s + 2 b
2b+3s
7 b + 3 s -5 b
3 s - 4 b + 2b
Determine whether the following expressions are equivalent to 9 x n + 2:
5 x + 4 n + 2
2 + 4 x n + 5 x n
9 x + 2 n
11 x n
9n+x+2
7xn+2xn+2
12+9xn-14
2+9nx
Determine whether the following expressions are equivalent to 9 x^{2} p + 2 x p^{2}:
11 + x^{3} + p^{3}
11 x^{2} p^{2}
9 x p^{2} + 2 p x^{2}
2 p^{2} x + 9 p x^{2}
xp^{2} + x^{2}p+7xp^{2}+x^{2}p
2xp^{2}+11x^{2}p-2xp^{2}
2xp^{2}+7x^{2}p+2x^{2}p
11x^{2}p+11xp^{2}-2x^{2}p-9xp^{2}
Lisa has a 5\% discount voucher for her vacation, which costs \$w.
Determine whether the following expressions can be used to calculate the discounted price of Lisa's vacation:
5 w - w
w - 0.05 w
w - 0.05
0.95 w
Bryce receives a 14\% raise on his salary. His salary is given by \$x.
Determine whether the following expressions can be used to calculate the Bryce's new salary:
x+14x
x+14
x+0.14x
1.14x