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Test: Substitution Method - SAT MCQ


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10 Questions MCQ Test Mathematics for SAT - Test: Substitution Method

Test: Substitution Method for SAT 2024 is part of Mathematics for SAT preparation. The Test: Substitution Method questions and answers have been prepared according to the SAT exam syllabus.The Test: Substitution Method MCQs are made for SAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Substitution Method below.
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Test: Substitution Method - Question 1

If x = 3y and y = 4, what is the value of x?

Detailed Solution for Test: Substitution Method - Question 1

x = 3y
x = 3(4)
x = 12

Test: Substitution Method - Question 2

If a = b - 2 and b = 3c, what is the value of a in terms of c?

Detailed Solution for Test: Substitution Method - Question 2

a = b - 2
a = (3c) - 2
a = 3c - 2

Test: Substitution Method - Question 3

If y = 2x - 3 and z = x + 5, what is the value of y + z in terms of x?

Detailed Solution for Test: Substitution Method - Question 3

y + z = (2x - 3) + (x + 5)
y + z = 3x + 2

Test: Substitution Method - Question 4

If a = 4b and b = 2c, what is the value of a in terms of c?

Detailed Solution for Test: Substitution Method - Question 4

a = 4b
a = 4(2c)
a = 8c

Test: Substitution Method - Question 5

If x = 3y + 2 and y = z - 1, what is the value of x in terms of z?

Detailed Solution for Test: Substitution Method - Question 5

x = 3y + 2
x = 3(z - 1) + 2
x = 3z - 3 + 2
x = 3z - 1

Test: Substitution Method - Question 6

What is the value of x in terms of z if x = 2y and y = 3z?

Detailed Solution for Test: Substitution Method - Question 6

Since we can substitute y = 3z into x = 2y to get
x = 2(3z) = 6z.

Test: Substitution Method - Question 7

What is the value of a in terms of c if a = 3b + 1 and b = 2c - 1?

Detailed Solution for Test: Substitution Method - Question 7

Since we can substitute b = 2c - 1 into a = 3b + 1 to get
a = 3(2c - 1) + 1
= 6c - 3 + 1 = 6c - 2.

Test: Substitution Method - Question 8

What is the value of x in terms of z if x = 4y + 3 and y = z - 2?

Detailed Solution for Test: Substitution Method - Question 8

Since we can substitute y = z - 2 into x = 4y + 3 to get
x = 4(z - 2) + 3
= 4z - 5.

Test: Substitution Method - Question 9

What is the value of a in terms of c if a = b + 2 and b = 5c?

Detailed Solution for Test: Substitution Method - Question 9

Since we can substitute b = 5c into a = b + 2 to get
a = 5c + 2.

Test: Substitution Method - Question 10

What is the value of y - z in terms of x if y = 3x - 5 and z = x + 4?

Detailed Solution for Test: Substitution Method - Question 10

Since we can substitute y = 3x - 5 and z = x + 4 into y - z to get
y - z = (3x - 5) - (x + 4)
= 2x - 9.

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