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Solutions to 60 linear equations, each represented by an equation and its corresponding answer. The equations cover various forms, including simple equations, equations with constants, and equations with variables on both sides. Students can use this resource to check their work or understand the solution process for various types of linear equations.
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E. White
Solve each equation for the indicated variable.
(1) x โ 12 = 10 (2) 6 x = 42
x 2 = 3 (4) a x = b for x
(5) 2 a โ 1 = 5 (6) โ12 = 0. 3 t โ 9
(7) 5 โ 3 y = 8 (8) 0. 06 s = 0. 3
(9) 3 x =
3 (10)^ a^ +^ b^ =^ c^ for^ b
(11) 8 x โ 12 = โ 2 (12) 3. 4 x โ 2. 9 x = 0. 25
(13) a b โ c = 0 for a (14) โ 18 t = 27
(15) 3 a + 28.6 = 7. 8 a โ 5 (16) 2 (x โ 2) = 5
x 2
(18) 3 (x + 1) = 2 (x โ 2)
(19) 3 x โ 1 = 3 (x โ 2) (20) x y = a b for a
z + 2 = 5 (22) 2 x โ 3 (x + 1) = 4
(23) 0. 21 b + 0.5 = 6. 8 (24) a x โ b = a for x
(25) x 4 = x 2 (26) โ 6 x + 5 = โ 8 x โ 12
s
x = 6
c d
a b for b (30)
a โ
(31) 2 (3 x โ 2) = โ4 (x โ 2) (32) 2 + 5 (3 x + 1) = 4
(33) 4 (0. 5 s โ 1 .2) = 5. 2 (34)
x + a = 3 for x
a +
a =
(36) 3(2x โ 1) = 2(3x โ 1) โ 1
c + 3 =
c (38)^0.^2 x^ โ^6 .3 = 1.2 + 0.^1 x
(39) z^ โ^1 3 = 2 z +^1 2 (40) a (b + c) = d for c
(41) 2 s 5
(42) 2(x + 2) โ 4 = 2x
(43) 1 .2 (3 x โ 2) = 26. 4 (44) 12 x = โ 6 x
a โ
a (46)
2 x โ 1
(47) 12 (2 x โ 3) = 24 (x + 2) (48) a (b + c) = b (a + d) for d
(49) .3(4x โ 1) = 2. 7 (50) 0 .2 (0. 3 s) โ 2 = 10
a 2 +^
b 3 =^ c^ for^ b^ (52)^ โ3 (5^ โ^ x) + 8 = 0
(53) 6 x =^5 7 (54) 3 .12 (3 x โ 21) = 0
(55) โ4 (2 x โ 1) + 1 = x (56) 2 x + 2b โ 3 = 5b + y for b
2 p โ 3 2 p + 3 = 2 (58) 3 (p + 2 q) = 7 q for p
a + b c
for a (60) 3. 3 โ 2 .3 (0. 2 x) = 0. 2 x