Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 17.3 Solving Equations by Multiplication and Division will engage students and is a great way of informal assessment.
McGraw-Hill Math Grade 6 Answer Key Lesson 17.3 Solving Equations by Multiplication and Division
Exercises
SOLVE
Question 1.
3x + 10 = 19
Answer:
x = 3.
Explanation:
3x + 10 = 19
=> 3x = 19 – 10
=> 3x = 9
=> x = 9 ÷ 3
=> x = 3.
Question 2.
4 +7m = 32
Answer:
m = 4.
Explanation:
4 +7m = 32
=> 7m = 32 – 4
=> 7m = 28
=> m = 28 ÷ 7
=> m = 4.
Question 3.
10b+ 8 = 118
Answer:
b = 11.
Explanation:
10b+ 8 = 118
=> 10b = 118 – 8
=> 10 b = 110.
=> b = 110 ÷ 10
=> b = 11.
Question 4.
12 + 2p = 88
Answer:
p = 38.
Explanation:
12 + 2p = 88
=> 2p = 88 – 12
=> 2p = 76.
=> p = 76 ÷ 2
=> p = 38.
Question 5.
\(\frac{y}{7}\) = 49
Answer:
y = 343.
Explanation:
\(\frac{y}{7}\) = 49
=> y = 49 × 7
=> y = 343.
Question 6.
10 + 2u = 14 + u
Answer:
u = 4.
Explanation:
10 + 2u = 14 + u
=> 2u = 14 – 10 + u
=> 2u – u = 4
=> u = 4.
Question 7.
Lynda has twice as many cookies as Alex does. Together they have 12 cookies. Write an equation that can help you find the number of cookies Lynda has.
How many cookies does Lynda have? ____________
How many cookies does Alex have? _____________
Answer:
Number of cookies Lynda has = 8.
Number of cookies Alex has = 4.
Explanation:
Total number of cookies they have = 12.
Lynda has twice as many cookies as Alex does.
=> Let number of cookies Alex be x.
Number of cookies Lynda has = 2 × number of cookies Alex
= 2 × x
=> 2x.
2x + x = 12.
=> 3x = 12
=> x = 12 ÷ 3
=> x = 4.
Number of cookies Lynda has = 2x = 2 × 4 = 8.