Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 13.4 Solving 2-Step Equations to secure good marks & knowledge in the exams.
McGraw-Hill Math Grade 8 Answer Key Lesson 13.4 Solving 2-Step Equations
Exercises
SOLVE
Question 1.
10x – 7 = 23
Answer:
x = 3,
Explanation:
Given to solve 10x – 7 = 23,
So 10x = 23 + 7 = 30,
x = 30 ÷ 10 = 3.
Question 2.
14 = 12 + 2x
Answer:
x = 1,
Explanation:
Given to solve 14 = 12 + 2x,
So 2x = 14 – 12 = 2,
x = 2 ÷ 2 = 1.
Question 3.
21 + 4x = 28
Answer:
x = 1.75,
Explanation:
Given to solve 21 + 4x = 28,
So 4x = 28 – 21 = 7,
x = 7 ÷ 4 = 1.75.
Question 4.
200 + 15x = 425
Answer:
x = 15,
Explanation:
Given to solve 200 + 15x = 425,
So 15x = 425 – 200 = 225,
x = 225 ÷ 15 = 15.
Question 5.
5x + 39 = 41
Answer:
x = 0.4,
Explanation:
Given to solve 5x + 39 = 41,
So 5x =41 – 39 = 2,
x = 2 ÷ 5 = 0.4.
Question 6.
10z + 17 = 77
Answer:
z = 6,
Explanation:
Given to solve 10z + 17 = 77,
So 10z = 77 – 17 = 60,
z = 60 ÷ 10 = 6.
Question 7.
65 = 41 + 3x
Answer:
x = 8,
Explanation:
Given to solve 65 = 41 + 3x,
So 3x = 65 – 41 = 24,
x = 24 ÷ 3 = 8.
Question 8.
107 = 75 + 16r
Answer:
r = 2,
Explanation:
Given to solve 107 = 75 + 16r,
So 16r = 107 – 75 = 32,
r = 32 ÷ 16 = 2.
Question 9.
49 + 18d = 37
Answer:
d = -0.666,
Explanation:
Given to solve 49 + 18d = 37,
So 18d = 37 – 49 = -12,
d = 12 ÷ 18 = -0.666.
Question 10.
15b + 18 = 30
Answer:
b = 0.8,
Explanation:
Given to solve 15b + 18 = 30,
So 15b = 30 – 18 = 12,
b = 12 ÷ 15 = 0.8.
Question 11.
5q = 10q + 60
Answer:
q = -12,
Explanation:
Given to solve 5q = 10q + 60,
So 10q – 5q = -60,
q = -60 ÷ 5 = -12.
Question 12.
2f + 4f + 18 = 32
Answer:
f = 2.3333,
Explanation:
Given to solve 2f + 4f + 18 = 32,
So 6f = 32 – 18 = 14,
f = 14 ÷ 6 = 2.3333.
Question 13.
3j = 5j – 14
Answer:
j = 7,
Explanation:
Given to solve 3j = 5j – 14,
So 5j – 3j = 14,
j = 14 ÷ 2 = 7.
Question 14.
23 + 18r = 6r + 47
Answer:
r = 2,
Explanation:
Given to solve 23 + 18r = 6r + 47,
So 18r – 6r = 47 – 23,
12r = 24,
r = 24 ÷ 12 = 2.
Question 15.
13k + 14k + 10 = 13
Answer:
k = 0.1111,
Explanation:
Given to solve 13k + 14k + 10 = 13,
So 27k = 13 – 10 = 3,
k = 3 ÷ 27 = 0.1111.
Question 16.
14v = 10v – 5
Answer:
v = -1.25,
Explanation:
Given to solve 14v = 10v – 5,
So 14v – 10v = – 5,
4v = -5,
v = -5 ÷ 4 = -1.25.