Integers
1
2/7 + 4/7 =
6/7
7 x 7 x 7 x 7 x 7 =
75
x + 3 = 8
Solve for x (show working)
5
(-3 to both sides, solve for x)
2x + 3 = 7
Solve for x (show working)
x = 2
(-3 from both sides, divide 2 both sides)
+19-(+13)
6
5/14 + 2/14 =
(simplify, no calculator)
7/14 = 1/2
y9 divide y4
y5
(division with same base, powers are -)
2x = 12
Solve for x (show working)
x = 6
(divide both sides by 2)
x/2 - 5 = 15
Solve for x (show working)
x = 40
(+5 to both sides, multiply both sides by 2)
-2 x +7
-14
2/3 x 3/10 =
(simplify, no calculator)
6/30 = 3/15 = 1/5
y2 x y6 =
y8
(multiplication with the same base, powers are +)
x/5 = 11
Solve for x (show working)
x = 55
(multiply both sides by 5)
9a + 7 = 34
Solve for a (show working)
a = 3
(-7 from both sides, divide both sides by 9)
7.368 - 1.15 =
(show all working)
6.218 - ensure they have been lined up
1/4 + 3/5 =
(show working, simplify)
5/20 + 12/20 = 17/20
(need common denominators)
(y0 + y0) x 6
12
(anything to the power of 0 = 1)
7x - 4x = 9
Solve for x (show working)
x = 3
(Like terms, 7x-4x=3x, divide both sides by 3)
2x + 13 - 5x = 1
Solve for x (show working)
x = 4. (like terms, 2x-5x=-3x, minus 13 from both sides, divide both sides by -3)
(16 divided by -4) - (-7)
(Show all working, no calculator)
(-4) - (-7) = -4 + 7 = 3
1 & 1/3 divided by 2/5 =
(no calculator, show all working)
4/3 divide 2/5 = 4/3 x 5/2 = 20/6
10/3 = 3 & 1/3
3y3 x 2y6 =
6y9
(multiply numbers, index laws, 3 + 6 for powers)
3x - 7x = 12
Solve for x (show working)
(Like terms, 3x-7x=-4x, divide both sides by -4)
8 - 3y = -7
Solve for y (show working)
y = 5
(-8 from both sides, divide both sides by -3)